用于多标签分类的解耦和双向重采样方法，具有标签并发的不平衡数据</T.一世T.le> <link href="//www.newsama.com/static/themes/hindawi/base.css" rel="stylesheet"> <link href="https://static-01.hindawi.com/articles/sp/volume-2020/8829432/8829432-style.css" rel="stylesheet" class="next-head"> <link href="https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/static/lib/basictable.css" rel="stylesheet" media="none" class="next-head"> <link rel="stylesheet" href="https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/static/lib/owl.carousel.min.css" media="none" class="next-head"> <link rel="stylesheet" href="https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/static/lib/owl.theme.default.min.css" media="none" class="next-head"> <link rel="stylesheet" type="text/css" href="https://cdn.bibblio.org/rcm/4.18/bib-related-content.min.css" media="none" class="next-head"> <link rel="stylesheet" type="text/css" href="https://cdn.bibblio.org/rcm/4.18/bib-related-content.min.css" media="none" class="next-head"> <link rel="stylesheet" href="https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/css/common.83cfef45.chunk.css"> <link rel="stylesheet" href="https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/css/static/L6Wc4-purEE9eG7SmNos9/pages/journal_article.js.8fe500e1.chunk.css"> <style data-styled="NQpXC gnduKR iDEFxF bNmdOy hqwaVF bUhGXt dtdpWS hCWCYG eIIwaK ivbKJD fopjOz eXznhK khbeDd gvAGTV kNoiZu diutvq bqeMOy bMdQcY feaNwj cmzomn bomGMi cnVFQI fMysxi eywbjC hdSPnx drXyHg dDYYdJ EwsTm jGASYF ijtMvb ciIPDK jOLhQl iiusBg TsaZF fknadA yDBBr gaRePw gyrlwB kvMqkB bcjrxJ fFuCDm irxuxk eGgIVT bWFUuQ kFIuIX hoOvRq lnpHcm ieulRf bcxtxQ itkvWp iHxDYu eILPxx RBVZC MzKKr fedCNn hmOYYz fsxuEC bjwAQR dodfTt eslOan dIyyAR comSpQ fkVFlF hPDggI eVAVoo cfvYGB gxpLsG iXqXlM bbzREB jknsZc eSvjPB jntdRu hAzjHP jxEVjH exLcDH kzNyka hCCmjz dJIaji gDNLQN bycqoT jkPgtr OJqzj iUuzmH cdKJIh jVvWtU jzSEeN kNPCsS lnoGXA dxqSPm evMkvU fYrLtk fjviok hgKieC cIribm khHUcu hcbNlZ dbAANp eyHfWh cBTaXT kgAKHb RnBiz jzTMLK gbrQxi lwEtq fOYLEe gEbQUn bGHCWJ isgRZA cBpQvD cZpOzA prPtb gzkcXu iaVowO jIQcJs cpuiKr hnolyX jmLwpf Lnbhf blbVzE bzUZma eatOFG gOltjj hZsedb idXHYp keayzM cYsVdk bJWOrU fVMBet cxmqZh bzVSCX csdpbK ebwWJp fbNqBY xJPtD gLaWXk" data-styled-version="4.4.1"> /* sc-component-id: sc-bdVaJa */ .EwsTm{height:200vh;width:100%;position:fixed;z-index:1;background:rgba(255,255,255,0.8);} .EwsTm.isHide{display:none;} @media (min-width:768px) and (max-width:991px){} @media (min-width:992px){.EwsTm{display:none;}} /* sc-component-id: sc-htpNat */ .bUhGXt{color:black;-webkit-text-decoration:none;text-decoration:none;border-radius:5px;font-size:16px;} .bUhGXt:focus-visible{outline-width:3px;outline-color:#8fc9ff;outline-style:solid;} /* sc-component-id: sc-bxivhb */ .ivbKJD{display:inline-block;} /* sc-component-id: sc-ifAKCX */ .fopjOz{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-flex:wrap;-ms-flex:wrap;flex:wrap;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;list-style-type:none;margin:0;padding:0;} .fopjOz li{padding:0 10px;} .fopjOz li a{padding:0;} .fopjOz a{-webkit-transition:border .25s ease-in-out 0s;transition:border .25s ease-in-out 0s;border-bottom:2px solid #fff;border-radius:0;} .fopjOz a:hover{border-bottom:2px solid #9b9b9b;padding-bottom:4px;} .fopjOz .active{border-bottom:2px solid #57a61e;} /* sc-component-id: sc-EHOje */ .jOLhQl{vertical-align:middle;height:24px;}.iiusBg{vertical-align:middle;height:16px;}.TsaZF{vertical-align:middle;height:40px;}.fknadA{vertical-align:middle;height:14px;} /* sc-component-id: sc-bZQynM */ .bNmdOy{max-width:1440px;margin:0 auto;width:100%;} /* sc-component-id: sc-htoDjs */ .khbeDd{vertical-align:middle;font-size:24px;}.gvAGTV{vertical-align:middle;font-size:9px;}.kNoiZu{vertical-align:middle;font-size:16px;}.diutvq{vertical-align:middle;font-size:22px;}.bqeMOy{vertical-align:middle;font-size:20px;}.bMdQcY{vertical-align:middle;font-size:11px;} /* sc-component-id: sc-jTzLTM */ .iDEFxF{position:fixed;top:0;left:0;right:0;z-index:1000;background:#fff;height:70px;font-size:16px;font-weight:500;border-bottom:1px solid #e3e3e3;-webkit-transition:all 0.5s;transition:all 0.5s;} @media (max-width:991px){.iDEFxF{border-bottom:1px solid #e3e3e3;}} @media (max-width:767px){.iDEFxF{margin-bottom:70px;height:60px;}} .iDEFxF .header__padding{padding:0 20px;box-sizing:border-box;} @media (max-width:991px){.iDEFxF .header__padding{padding:0 0 0 20px;}} .iDEFxF .menu{position:fixed;top:60px;right:0;width:100%;background:white;} @media (max-width:991px){.iDEFxF .menu{z-index:2;}} @media (min-width:768px){.iDEFxF .menu{width:500px;top:70px;}} @media (min-width:991.5px){.iDEFxF .menu{display:none;}} .iDEFxF .menu ul{list-style-type:none;text-align:center;padding:0;margin:0;} @media (min-width:768px){.iDEFxF .menu ul{padding:0;border-left:1px solid #e3e3e3;}} .iDEFxF .menu ul li a{color:#4a4a4a;padding:10px;-webkit-text-decoration:none;text-decoration:none;display:block;border-bottom:1px solid #e3e3e3;} .iDEFxF .menu .button_wrap{width:90%;margin:10px auto;border-radius:5px;border-style:solid;border-width:1px;} @media (min-width:768px){.iDEFxF .menu .button_wrap{display:none;}} .iDEFxF .menu .button__publishing{background-color:#6ba439;color:#fff;border-color:#6ba439;} .iDEFxF .menu .button__login{display:none;background-color:#fff;color:#4D8A17;border-color:#e3e3e3;} .iDEFxF.headerUp{-webkit-transform:translateY(-100%);-ms-transform:translateY(-100%);transform:translateY(-100%);} /* sc-component-id: sc-fjdhpX */ .hCWCYG{-webkit-box-pack:end;-webkit-justify-content:flex-end;-ms-flex-pack:end;justify-content:flex-end;} .hCWCYG a{padding:10px;} .hCWCYG nav{-webkit-align-self:center;-ms-flex-item-align:center;align-self:center;} @media (max-width:991px){.hCWCYG nav{display:none;}} .hCWCYG nav ul{margin-right:16px;} .hCWCYG nav ul li a{color:#4a4a4a;padding:10px 0px 4px;margin:0 6px;} @media (max-width:991px){.hCWCYG .icon-themeable{border-left:1px solid #e3e3e3;padding:23px 20px;}} @media (max-width:767px){.hCWCYG .icon-themeable{padding:18px 20px;}} @media (max-width:767.5px){.hCWCYG.mobileButtonFlex{-ms-flex:0 0 51%;-webkit-flex:0 0 51%;-ms-flex:0 0 51%;flex:0 0 51%;max-width:51%;}} /* sc-component-id: sc-jzJRlG */ .feaNwj{display:none;padding:0;background-color:#fff;border:none;height:59px;} @media (min-width:768px){.feaNwj{height:69px;}} .feaNwj img{box-sizing:content-box;width:28px;padding:17px 20px;} @media (min-width:768px){.feaNwj img{padding:22px 20px;}} @media (max-width:991px){.feaNwj{display:inline-block;}} /* sc-component-id: sc-cSHVUG */ .hqwaVF a{display:inline-block;padding:15px 0;} @media (max-width:767px){.hqwaVF a{padding:10px 0;}} @media (max-width:767.5px){.hqwaVF.mobileLogoFlex{-ms-flex:0 0 49%;-webkit-flex:0 0 49%;-ms-flex:0 0 49%;flex:0 0 49%;max-width:49%;}} /* sc-component-id: sc-kAzzGY */ .eXznhK{border:none;height:50px;background-color:#fff;margin:10px 0 0 17px;position:relative;} @media (max-width:991.5px){.eXznhK{margin:0 3px 0 16px;padding:0;height:69px;}} @media (max-width:767.5px){.eXznhK{height:59px;}} .eXznhK img{box-sizing:content-box;} .eXznhK .icon__cross{width:24px;height:24px;} @media (min-width:768px){.eXznhK .icon__cross{padding:23px 20px;}} @media (min-width:992px){.eXznhK .icon__cross{padding:0px;}} /* sc-component-id: sc-dxgOiQ */ .dtdpWS{vertical-align:middle;height:39px;} @media (max-width:401px){.dtdpWS{max-width:100%;}} /* sc-component-id: sc-ckVGcZ */ .bJWOrU{border-top:4px solid rgba(107,164,57,.25);background-color:#F9FBF6;font-size:16px;position:relative;z-index:3;} @media (max-width:991px){.bJWOrU{z-index:0;}} /* sc-component-id: sc-jKJlTe */ .fVMBet{border-bottom :1px solid;border-color:#E3E3E3;padding:29px 40px 30px 40px;} @media (min-width:992px){.fVMBet{padding:40px 40px 40px 35px;}} .fVMBet .primary__footer .mobile{display:block;} .fVMBet .primary__footer .desktop{display:none;} @media (min-width:992px){.fVMBet .primary__footer{-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between;}.fVMBet .primary__footer .mobile{display:none;}.fVMBet .primary__footer .desktop{display:block;}} @media (min-width:992px){.fVMBet .col5{-webkit-flex:0 0 18%;-ms-flex:0 0 18%;flex:0 0 18%;max-width:18%;}} .fVMBet address{font-style:inherit;line-height:1.5;font-size:16px;display:none;border-right:1px solid #EBEBEB;} @media (max-width:767px){.fVMBet address{border-bottom:1px solid #E3E3E3;padding-bottom:20px;}} @media (min-width:992px){.fVMBet address{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-box-pack:center;-webkit-justify-content:center;-ms-flex-pack:center;justify-content:center;margin-right:50px;}} @media (min-width:1200px){.fVMBet address{margin-right:70px;}} .fVMBet address p{margin:0;font-size:14px;} @media (max-width:767px){.fVMBet address p{text-align:center;}} @media (min-width:1200px){.fVMBet address p{font-size:16px;}} .fVMBet nav ul{list-style:none;padding:0;line-height:2;font-size:16px;margin:18px 0 0 0;} .fVMBet nav ul:first-child{margin:0;} @media (min-width:992px){.fVMBet nav ul{margin:0;}} .fVMBet nav ul li{line-height:22px;padding:5px;} .fVMBet nav ul li a{color:#4A4A4A;font-weight:500;display:block;font-size:16px;} .fVMBet nav ul li img{padding:2.5px 0 0 10px;box-sizing:content-box;-webkit-transform:rotate(180deg);-ms-transform:rotate(180deg);transform:rotate(180deg);} /* sc-component-id: sc-eNQAEJ */ .cxmqZh{padding-top:6px;color:#4A4A4A;font-weight:500;margin-bottom:29px;} @media (min-width:992px){.cxmqZh{-webkit-flex:0 0 25%;-ms-flex:0 0 25%;flex:0 0 25%;max-width:-webkit-fit-content;max-width:-moz-fit-content;max-width:fit-content;}} /* sc-component-id: sc-hMqMXs */ .csdpbK{margin-right:20px;} .csdpbK:last-child{margin-right:0;} /* sc-component-id: sc-kEYyzF */ .bzVSCX{margin-top:15px;} /* sc-component-id: sc-kkGfuU */ .ebwWJp{line-height:30px;font-size:11px;padding:10px 20px;} .ebwWJp .textright{text-align:right;font-weight:500;} @media (max-width:767px){.ebwWJp .textright{text-align:center;}} @media (min-width:992px){.ebwWJp .textright{font-weight:100;}} .ebwWJp span a{font-size:13px;} @media (max-width:767px){.ebwWJp span{text-align:center;}} /* sc-component-id: sc-iAyFgw */ .irxuxk{display:inline-block;background-color:#fff;color:#4D8A17;border-color:#E3E3E3;width:auto;border-radius:5px;font-size:16px;border-width:1px;border-style:solid;} .irxuxk:focus-visible{outline-width:3px;outline-color:#8fc9ff;outline-style:solid;} /* sc-component-id: sc-hSdWYo */ .drXyHg{font-size:22px;color:#000;} @media (min-width:767.5px){.drXyHg{font-size:24px;}} @media (min-width:991.5px){.drXyHg{font-size:25px;}} .drXyHg:after{content:'';display:inline-block;margin-top:0.2em;margin-left:0.5em;} /* sc-component-id: sc-gPEVay */ .iUuzmH{font-size:30px;font-weight:500;-webkit-letter-spacing:1px;-moz-letter-spacing:1px;-ms-letter-spacing:1px;letter-spacing:1px;line-height:1;margin-top:0;} @media (min-width:767.5px){.iUuzmH{font-size:40px;}} @media (min-width:991.5px){.iUuzmH{font-size:40px;}} .iUuzmH sup,.iUuzmH sub{vertical-align:baseline;position:relative;top:-10px;} .iUuzmH sub{top:10px;} /* sc-component-id: sc-csuQGl */ .idXHYp{font-size:20px;font-weight:500;margin-top:0;margin-bottom:15px;} /* sc-component-id: sc-Rmtcm */ .hZsedb{display:inline-block;} @media (max-width:991.5px){.hZsedb{width:100%;}} @media (min-width:991.5px){.hZsedb.hide{display:none !important;}} /* sc-component-id: sc-bRBYWo */ .keayzM{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-flex:wrap;-ms-flex:wrap;flex:wrap;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;list-style-type:none;margin:0;width:100%;padding:0 !important;border-top:1px solid #fff;} .keayzM li{width:100%;text-align:center;box-sizing:border-box;padding:17px 0px;min-height:48px;} .keayzM li a{display:block;} .keayzM .iconBorder{border-right:1px solid #fff;} .keayzM img{width:23px;} .keayzM img.socialLinkedin{width:28px;} .keayzM .wechat-container{position:relative;} .keayzM .wechat-container .addthis_inline_share_toolbox{position:absolute;top:0;left:0;width:100%;height:100%;opacity:0 !important;} /* sc-component-id: sc-GMQeP */ .cnVFQI{-webkit-transition:-webkit-transform 0.5s;-webkit-transition:transform 0.5s;transition:transform 0.5s;position:fixed;top:60px;} @media (min-width:767.5px){.cnVFQI{position:fixed;top:70px;}} @media (min-width:991.5px){.cnVFQI{position:fixed;top:70px;}}.fMysxi{-webkit-transition:-webkit-transform 0.5s;-webkit-transition:transform 0.5s;transition:transform 0.5s;top:0px;} @media (min-width:767.5px){.fMysxi{top:0px;}} @media (min-width:991.5px){.fMysxi{position:fixed;top:241px;}} /* sc-component-id: sc-gFaPwZ */ .kFIuIX{background-color:#6BA439;color:#fff;padding:20px;line-height:22px !important;border-radius:0;border-top:1px solid #fff;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between;min-height:60px;} .kFIuIX img{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-align-self:center;-ms-flex-item-align:center;align-self:center;} .kFIuIX span{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-self:center;-ms-flex-item-align:center;align-self:center;} .kFIuIX span.text{padding-left:20px;font-weight:500;} @media (max-width:360px){.kFIuIX span.text{padding-left:5px;font-size:14px;}} @media (min-width:320px) and (max-width:767.5px){.kFIuIX span.text{padding-left:20px;}}.hoOvRq{background-color:#F2F2F2;color:#4A4A4A;padding:20px;line-height:22px !important;border-radius:0;border-top:1px solid #E3E3E3;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between;min-height:60px;} .hoOvRq img{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-align-self:center;-ms-flex-item-align:center;align-self:center;} .hoOvRq span{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-self:center;-ms-flex-item-align:center;align-self:center;} .hoOvRq span.text{padding-left:20px;font-weight:500;} @media (max-width:360px){.hoOvRq span.text{padding-left:5px;font-size:14px;}} @media (min-width:320px) and (max-width:767.5px){.hoOvRq span.text{padding-left:20px;}} /* sc-component-id: sc-fhYwyz */ .ieulRf{width:20px;} /* sc-component-id: sc-jzgbtB */ .bcxtxQ{width:20px;height:16px;color:#6ba439;} /* sc-component-id: sc-gJWqzi */ .gyrlwB{position:relative;background:#007d8d;} @media (max-width:991px){.gyrlwB{z-index:2;}} @media (min-width:767.5px) and (max-width:991.5px){.gyrlwB{width:50%;}} @media (min-width:991.5px){.gyrlwB{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:end;-webkit-justify-content:flex-end;-ms-flex-pack:end;justify-content:flex-end;border-top:1px solid white;}} .gyrlwB.isHide{display:none;} @media (min-width:991.5px){.gyrlwB.isHide{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;}} .gyrlwB .submit__button{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;box-shadow:0 2px 4px rgba(0,0,0,.5);padding:0 20px;min-height:45px;} .gyrlwB .submit__button span.text{font-size:16px;} .gyrlwB .submit__button img{width:20px;} @media (min-width:767.5px){.gyrlwB .submit__button{min-height:58px;}.gyrlwB .submit__button img{width:22px;}} @media (min-width:991.5px){.gyrlwB .submit__button{display:none;}} /* sc-component-id: sc-rBLzX */ .bcjrxJ{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;width:100%;font-size:16px;font-weight:500;color:#fff;background-color:#007d8d;line-height:20px;padding:10px 20px;border:0;border-radius:0;border-top:1px solid #fff;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between;margin:0;} @media (min-width:767.5px){.bcjrxJ{padding:16px 20px;}} @media (min-width:991.5px){.bcjrxJ{border-top:none;border-right:1px solid #fff;padding:14.5px 15px;font-size:14px;}} @media (min-width:1200px){.bcjrxJ{padding:14.5px 20px;font-size:16px;}} .bcjrxJ .icon__inactive{-webkit-transform:rotateZ(-90deg);-ms-transform:rotateZ(-90deg);transform:rotateZ(-90deg);line-height:20px;} @media (min-width:991.5px){.bcjrxJ .icon__inactive{-webkit-transform:rotateZ(0);-ms-transform:rotateZ(0);transform:rotateZ(0);}} .bcjrxJ.button__active{background:#fff;color:#4A4A4A;} @media (min-width:767.5px) and (max-width:991.5px){.bcjrxJ.button__active{border-right:1px solid #007f8f;}} .bcjrxJ .icon__active{-webkit-transform:rotateZ(-90deg);-ms-transform:rotateZ(-90deg);transform:rotateZ(-90deg);line-height:20px;} @media (min-width:991.5px){.bcjrxJ .icon__active{-webkit-transform:rotate(0);-ms-transform:rotate(0);transform:rotate(0);}} .bcjrxJ .icon__hidden{display:none;}.fFuCDm{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;width:100%;font-size:16px;font-weight:500;color:#fff;background-color:#007d8d;line-height:20px;padding:10px 20px;border:0;border-radius:0;border-top:1px solid #fff;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between;margin:0;} @media (min-width:767.5px){.fFuCDm{padding:16px 20px;}} @media (min-width:991.5px){.fFuCDm{border-top:none;border-right:0;padding:14.5px 15px;font-size:14px;}} @media (min-width:1200px){.fFuCDm{padding:14.5px 20px;font-size:16px;}} .fFuCDm .icon__inactive{-webkit-transform:rotateZ(-90deg);-ms-transform:rotateZ(-90deg);transform:rotateZ(-90deg);line-height:20px;} @media (min-width:991.5px){.fFuCDm .icon__inactive{-webkit-transform:rotateZ(0);-ms-transform:rotateZ(0);transform:rotateZ(0);}} .fFuCDm.button__active{background:#fff;color:#4A4A4A;} @media (min-width:767.5px) and (max-width:991.5px){.fFuCDm.button__active{border-right:1px solid #007f8f;}} .fFuCDm .icon__active{-webkit-transform:rotateZ(-90deg);-ms-transform:rotateZ(-90deg);transform:rotateZ(-90deg);line-height:20px;} @media (min-width:991.5px){.fFuCDm .icon__active{-webkit-transform:rotate(0);-ms-transform:rotate(0);transform:rotate(0);}} .fFuCDm .icon__hidden{display:none;} /* sc-component-id: sc-bMvGRv */ .bWFUuQ{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;width:100%;font-size:16px;font-weight:500;color:#fff;background-color:#007d8d;line-height:20px;padding:10px 20px;border:0;border-radius:0;border-top:1px solid #fff;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between;} @media (min-width:767.5px){.bWFUuQ{padding:16px 20px;}} @media (min-width:991.5px){.bWFUuQ{-webkit-transition:all 0.25s;transition:all 0.25s;border-top:none;border-right:1px solid #fff;border-left:0;padding:14.5px 30px 14.5px 20px;width:calc(100% / 6);font-size:14px;}.bWFUuQ:hover{background:#fff;color:#4A4A4A;}} @media (min-width:1200px){.bWFUuQ{font-size:16px;}} /* sc-component-id: sc-CtfFt */ .eGgIVT{width:18px;margin-right:-4px;} @media (min-width:991.5px){.eGgIVT{width:7px;font-size:7px;}} @media (min-width:1200px){.eGgIVT{width:18px;}} /* sc-component-id: sc-laTMn */ .itkvWp{position:absolute;top:0;width:calc(100% - 20px);right:0;bottom:0;background:#fff;-webkit-transition:-webkit-transform 0.5s;-webkit-transition:transform 0.5s;transition:transform 0.5s;min-height:290px;box-shadow:0 2px 4px rgba(0,0,0,0.5);} .itkvWp.hide__submenu{-webkit-transform:translateX(100%);-ms-transform:translateX(100%);transform:translateX(100%);} @media (min-width:767.5px){.itkvWp.hide__submenu{-webkit-transform:translateX(-200%);-ms-transform:translateX(-200%);transform:translateX(-200%);}} @media (min-width:767.5px){.itkvWp{left:100%;width:100%;padding-top:20px;z-index:-1;min-height:375px;}} @media (min-width:991.5px){.itkvWp{display:none;}} /* sc-component-id: sc-hGoxap */ .RBVZC{-webkit-transition:-webkit-transform 0.5s;-webkit-transition:transform 0.5s;transition:transform 0.5s;display:none;} @media (min-width:991.5px){.RBVZC.hide__submenu{-webkit-transform:translateY(-300%);-ms-transform:translateY(-300%);transform:translateY(-300%);}} @media (min-width:991.5px){.RBVZC{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;height:186px;top:49px;left:0;position:absolute;right:0;background:#fff;z-index:-1;box-shadow:0 4px 6px rgba(0,0,0,0.21);}} /* sc-component-id: sc-fjmCvl */ .iHxDYu{font-weight:700;border:0;color:#4A4A4A;padding:10px 0;background-color:#fff;font-size:16px;line-height:20px;} .iHxDYu:focus-visible{outline-width:3px;outline-color:#8fc9ff;outline-style:solid;} @media (min-width:767.5px){.iHxDYu{display:none;}} /* sc-component-id: sc-bHwgHz */ .eILPxx{margin:0px 10px 2px 20px;-webkit-transform:rotate(90deg);-ms-transform:rotate(90deg);transform:rotate(90deg);display:inline-block;} /* sc-component-id: sc-krDsej */ .fedCNn{width:50%;} /* sc-component-id: sc-dTdPqK */ .hmOYYz{color:#007B8B;width:50%;font-size:16px;line-height:26px;margin:auto;padding:0 6%;} /* sc-component-id: sc-itybZL */ .MzKKr{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;width:50%;padding:24.5px 2% 0;-webkit-order:0;-ms-flex-order:0;order:0;} @media (min-width:1024px){.MzKKr{padding:24.5px 3% 0;}} /* sc-component-id: sc-eMigcr */ .kvMqkB{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;width:100%;} @media (min-width:991.5px){.kvMqkB{width:calc(100% / 6);}.kvMqkB:first-child{border-left:none;}} /* sc-component-id: sc-fzsDOv */ .fsxuEC{background-color:#D8D8D8;position:absolute;left:50%;display:inline-block;height:121px;width:2px;top:33px;} /* sc-component-id: sc-bmyXtO */ .gDNLQN{padding:0;margin:10px 0 25px 0;} /* sc-component-id: sc-dEoRIm */ .jkPgtr{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;border:none;font-size:12px;font-weight:500;margin-top:7px;padding:0;color:#4D8A17;-webkit-text-decoration:none;text-decoration:none;cursor:pointer;} .jkPgtr:hover{-webkit-text-decoration:underline;text-decoration:underline;} @media (min-width:767.5px){.jkPgtr{margin-top:10px;}} /* sc-component-id: sc-jtggT */ .bycqoT{overflow-y:hidden;height:auto;max-height:100%;-webkit-transition:all .5s;transition:all .5s;background-color:#F2F2F2;padding:0 16px;} .bycqoT.isHide{max-height:0;-webkit-transition:all .5s;transition:all .5s;} .bycqoT p{font-size:14px;line-height:22px;} .bycqoT sup{margin-top:-5px;} /* sc-component-id: sc-ebFjAB */ .jxEVjH{padding:0;} /* sc-component-id: sc-hzNEM */ .exLcDH{font-size:14px;font-weight:700;line-height:16px;-webkit-letter-spacing:0.58px;-moz-letter-spacing:0.58px;-ms-letter-spacing:0.58px;letter-spacing:0.58px;margin:23px 0 0px !important;} @media (min-width:767.5px){.exLcDH{margin:34px 0 0px !important;}} @media (min-width:991.5px){.exLcDH{margin:-4px 0 0 !important;}} /* sc-component-id: sc-chbbiW */ .kzNyka{font-size:14px;line-height:22px;} .kzNyka a{color:#4D8A17;-webkit-text-decoration:none;text-decoration:none;cursor:pointer;} .kzNyka a:hover{-webkit-text-decoration:underline;text-decoration:underline;} /* sc-component-id: sc-kxynE */ @font-face{font-family:'STIXGeneral-Bold';src:url('https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/node_modules/hindawi-ui/fonts/STIXGeneral-Bold.otf');font-weight:normal;font-style:normal;} .OJqzj{font-weight:700;font-family:STIXGeneral-Bold;margin:19px 0 22px;font-size:25px;line-height:28px;-webkit-letter-spacing:normal;-moz-letter-spacing:normal;-ms-letter-spacing:normal;letter-spacing:normal;} @media (min-width:767.5px){.OJqzj{font-size:25px;margin:20px 0 23px;}} @media (min-width:991.5px){.OJqzj{font-size:30px;line-height:34px;margin:19px 0 22px;}} .OJqzj p{margin:0;} /* sc-component-id: sc-cooIXK */ .hCCmjz{padding:0 3px;} /* sc-component-id: sc-fcdeBU */ .dJIaji{font-size:14px;} .dJIaji:hover{-webkit-text-decoration:underline;text-decoration:underline;} /* sc-component-id: sc-hgHYgh */ @font-face{font-family:'STIXGeneral-Regular';src:url('https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/node_modules/hindawi-ui/fonts/STIXGeneral-Regular.otf');font-weight:normal;font-style:normal;} @font-face{src:url('https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/node_modules/hindawi-ui/fonts/STIXGeneral-Regular.otf');font-weight:normal;font-style:normal;} @font-face{font-family:'STIXGeneral-Regular';src:url('https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/node_modules/hindawi-ui/fonts/STIXGeneral-Regular.otf');font-weight:normal;font-style:normal;} .hcbNlZ{font-family:STIXGeneral-Regular;text-align:justify;} .hcbNlZ a{word-break:break-all;} .hcbNlZ h4:first-of-type{border-top:0px solid #E3E3E3;padding-top:0;} .hcbNlZ h4{font-size:20px;font-family:"IBM Plex Sans",sans-serif;border-top:1px solid #E3E3E3;padding-top:23px;margin-top:15px;margin-bottom:-3px;} .hcbNlZ h4#abstract{margin-top:-7px;margin-bottom:-3px;} @media (min-width:767.5){.hcbNlZ h4#abstract{margin-top:-6px;}} @media (min-width:991.5px){.hcbNlZ h4#abstract{margin-top:34px;}} .hcbNlZ h4.references,.hcbNlZ h4.copyright{border-top:1px solid #E3E3E3;padding-top:23px;} .hcbNlZ h4.references{margin-bottom:-8px;} .hcbNlZ h5,.hcbNlZ h6{margin:22px 0;font-size:16px;word-break:break-word;} .hcbNlZ h6{margin:25px 0;text-align:left;} .hcbNlZ p{font-size:16px;word-break:break-word;} .hcbNlZ .floats-partial-section{border:1px solid #E3E3E3;margin:25px auto;} @media (max-width:767px){.hcbNlZ .floats-partial-section{margin:0 auto;overflow-x:hidden;}} .hcbNlZ .floats-partial-section .floats-partial-content{padding:19px 0px 19px 0px;height:254px;width:96%;overflow:hidden;margin:0 auto;position:relative;cursor:pointer;} .hcbNlZ .floats-partial-section .floats-partial-content table{margin:0 auto;} .hcbNlZ .floats-partial-section .floats-partial-content .table-group{width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;} .hcbNlZ .floats-partial-section .floats-partial-content .table-group table{width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;} .hcbNlZ .floats-partial-section .floats-partial-content .table-group table object{z-index:-1;position:relative;} .hcbNlZ .floats-partial-section .floats-partial-content .table-group table td{padding:4px 7px;} .hcbNlZ .floats-partial-section .floats-partial-content .table-group table td.align_left{text-align:left;} .hcbNlZ .floats-partial-section .floats-partial-content .table-group table td.align_center{text-align:center;} @media (min-width:768px){.hcbNlZ .floats-partial-section .floats-partial-content{padding:22px 0px 0 0px;height:197px;}} @media (min-width:992px){.hcbNlZ .floats-partial-section .floats-partial-content{padding:23px 0px 13px 0px;height:215px;}} .hcbNlZ .floats-partial-section .floats-partial-content:after{content:"";height:20%;position:absolute;bottom:0;right:0;left:0;background:-moz-linear-gradient(left,rgba(255,255,255,.7) 0%,rgba(255,255,255,.7) 56%,rgba(255,255,255,.7) 100%);background:-webkit-gradient(linear,left top,right top,color-stop(0%,rgba(255,255,255,.7)),color-stop(56%,rgba(255,255,255,.7)),color-stop(100%,rgba(255,255,255,.7)));background:-webkit-linear-gradient(rgba(255,255,255,0) 0%,rgba(255,255,255,0.5) 30%,rgba(255,255,255,0.7) 56%,rgba(255,255,255,0.9) 75%,rgba(255,255,255,1) 100%);background:-o-linear-gradient(left,rgba(255,255,255,.7) 0%,rgba(255,255,255,.7) 56%,rgba(255,255,255,.7) 100%);background:-ms-linear-gradient(left,rgba(255,255,255,.7) 0%,rgba(255,255,255,.7) 56%,rgba(255,255,255,.7) 100%);background:linear-gradient(left,rgba(255,255,255,.7) 0%,rgba(255,255,255,.7) 56%,rgba(255,255,255,.7) 100%);-webkit-filter:progid:DXImageTransform.Microsoft.gradient( startColorstr='#00ffffff',endColorstr='#ffffff',GradientType=1 );filter:progid:DXImageTransform.Microsoft.gradient( startColorstr='#00ffffff',endColorstr='#ffffff',GradientType=1 );} .hcbNlZ .floats-partial-section .floats-partial-footer{background-color:#F2F2F2;border-top:1px solid #E3E3E3;} .hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:end;-webkit-justify-content:flex-end;-ms-flex-pack:end;justify-content:flex-end;} .hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption .minimize_btn{-webkit-flex:1;-ms-flex:1;flex:1;background:url('data:image/svg+xml;base64,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') no-repeat 6px;background-position:center;margin-top:10px;min-width:55px;} @media (min-width:768px){.hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption .minimize_btn{display:none;}} .hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption .expand_btn{-webkit-flex:1;-ms-flex:1;flex:1;background:url('data:image/svg+xml;base64,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') no-repeat 6px;background-position:center;margin-top:10px;min-width:55px;display:none;} @media (min-width:768px){.hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption .expand_btn{display:none;}} .hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{-webkit-flex:9;-ms-flex:9;flex:9;text-align:left;padding:21px 37px 10px 0px;font-size:16px;font-weight:700;} @media (min-width:768px){.hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 18px 10px 18px;}} @media (min-width:992px){.hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 21px 10px 21px;}} .hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{-webkit-flex:1;-ms-flex:1;flex:1;background:url('data:image/svg+xml;base64,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') no-repeat 6px;background-position:center;padding:16px 0 16px 0;min-width:62px;max-width:62px;} @media (min-width:768px){.hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:16px 0 17px 0;min-width:52px;max-width:52px;}} @media (min-width:992px){.hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:15px 0 17px 0;min-width:60px;max-width:60px;}} .hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url:hover{-webkit-text-decoration:none;text-decoration:none;} .hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption-text{font-size:14px;padding:0px 18px 17px 22px;} @media (min-width:768px){.hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 15px 15px 18px;}} @media (min-width:992px){.hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 18px 19px 21px;}} .hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption-text figcaption{margin:0;padding:0;} .hcbNlZ .floats-partial-section .floats-partial-footer .floats-partial-caption-text svg{max-width:100%;} .hcbNlZ ol{font-size:16px;padding-left:32px;font-family:STIXGeneral-Regular;line-height:24px;margin:15px 0;} .hcbNlZ ol li{margin:10px 0;padding-left:10px;word-break:normal;} .hcbNlZ ol li a{word-break:break-all;} .hcbNlZ ol li .reflinks{display:block;} .hcbNlZ ol li .reflinks a{color:#4D8A17;-webkit-text-decoration:none;text-decoration:none;cursor:pointer;} .hcbNlZ ol li .reflinks a:hover{-webkit-text-decoration:underline;text-decoration:underline;} .hcbNlZ ol li .reflinks .sep{color:#000000;} .hcbNlZ .table-wrapper{width:auto;overflow-x:auto;} .hcbNlZ .table-wrapper::-webkit-scrollbar{-webkit-appearance:none;width:5px;height:5px;} .hcbNlZ .table-wrapper::-webkit-scrollbar-thumb{border-radius:5px;background-color:rgba(0,0,0,.5);-webkit-box-shadow:0 0 1px rgba(255,255,255,.5);} @media (min-width:768px){.hcbNlZ .table-wrapper{overflow-x:auto;width:auto;-webkit-break-word:word-break;break-word:word-break;margin:0 auto;}} @media (min-width:992px){.hcbNlZ .table-wrapper{width:auto;}} @media (min-width:1324px){.hcbNlZ .table-wrapper{width:auto;}} @media (min-width:320px){.hcbNlZ{margin-bottom:33px;padding:0;}} @media (min-width:992px){.hcbNlZ{padding:0;margin-bottom:100px;}} @media (min-width:1325px){.hcbNlZ{margin-bottom:100px;}} .hcbNlZ .owl-stage{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;} .hcbNlZ .floats-partial-middle--thumbs{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;} .hcbNlZ .floats-partial-middle--thumbs .partial-carousel-dot svg{fill:#4D8A17;width:100%;} .hcbNlZ .floats-partial-middle--thumbs .partial-carousel-dot strong{color:#4D8A17;font-weight:500;} .hcbNlZ .floats-partial-middle--thumbs .partial-carousel-dot.active strong{color:#007B8B;} .hcbNlZ .floats-partial-middle--thumbs .partial-carousel-dot.active svg{fill:#007B8B;} .hcbNlZ .partial-carousel-dot{text-align:center;cursor:pointer;border:0;width:100px;padding-bottom:20px;background-color:#fff;display:table-cell;} .hcbNlZ .partial-carousel-dot:focus-visible{outline-offset:-3px;} .hcbNlZ .partial-carousel-dot strong{font-size:11px;padding-top:12px;} @media (min-width:767.5px){.hcbNlZ .partial-carousel-dot strong{font-size:16px;}} .hcbNlZ .partial-carousel-dot img{width:90px;height:90px;border:1px solid #979797;margin:10px 0;} .hcbNlZ .partial-carousel-wrapper .floats-partial-middle{border-top:1px solid #e3e3e3;display:block;margin-bottom:50px;padding-top:1px;} @media (min-width:767.5px){.hcbNlZ .partial-carousel-wrapper .floats-partial-middle{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;margin-bottom:0;}} .hcbNlZ .partial-carousel--single-image{overflow:hidden;text-align:center;} .hcbNlZ .partial-carousel--single-image img{width:100%;max-height:239px;height:auto;} @media (min-width:767.5px){.hcbNlZ .partial-carousel--single-image img{max-height:357px;}} @media (min-width:991.5px){.hcbNlZ .partial-carousel--single-image img{max-height:417px;}} .hcbNlZ .partial-carousel--single-image strong{font-size:11px;padding-top:12px;} @media (min-width:767.5px){.hcbNlZ .partial-carousel--single-image strong{font-size:16px;}} .hcbNlZ .owl-nav,.hcbNlZ .owl-dots{display:none;} .hcbNlZ .partial-carousel-wrapper .owl-loaded{position:relative;height:auto;max-height:287px;} @media (min-width:767.6px){.hcbNlZ .partial-carousel-wrapper .owl-loaded{max-height:414px;}} @media (min-width:767.5px){.hcbNlZ .partial-carousel-wrapper .owl-loaded{max-height:477px;}} .hcbNlZ .partial-carousel-wrapper .floats-partial-content,.hcbNlZ .owl-stage-outer,.hcbNlZ .owl-stage{max-height:287px;height:auto;} @media (min-width:767.6px){.hcbNlZ .partial-carousel-wrapper .floats-partial-content,.hcbNlZ .owl-stage-outer,.hcbNlZ .owl-stage{max-height:414px;}} @media (min-width:767.5px){.hcbNlZ .partial-carousel-wrapper .floats-partial-content,.hcbNlZ .owl-stage-outer,.hcbNlZ .owl-stage{max-height:477px;}} .hcbNlZ .partial-carousel-wrapper .floats-partial-content::after,.hcbNlZ .owl-stage-outer::after,.hcbNlZ .owl-stage::after{background:transparent;} .hcbNlZ .partial-carousel-wrapper .floats-partial-middle--thumbs{width:100%;overflow-x:auto;-webkit-align-items:self-start;-webkit-box-align:self-start;-ms-flex-align:self-start;align-items:self-start;} @media (min-width:767.5px){.hcbNlZ .partial-carousel-wrapper .floats-partial-middle--thumbs{width:calc(100% - 110px);}} .hcbNlZ .partial-carousel-wrapper .floats-partial-middle--nav{width:100%;position:relative;} @media (min-width:767.5px){.hcbNlZ .partial-carousel-wrapper .floats-partial-middle--nav{width:20%;}} .hcbNlZ .floats-partial-middle{position:relative;} .hcbNlZ .partial-carousel-wrapper .carousel-prev{background:url('data:image/svg+xml;base64,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') no-repeat 17.5px;height:50px;width:61px;display:inline-block;border:0;border-right:1px solid #E3E3E3;padding:0;cursor:pointer;background-position-y:54.35%;} @media (min-width:767.5px){.hcbNlZ .partial-carousel-wrapper .carousel-prev{width:51px;background-position-x:8px;}} @media (min-width:991.5px){.hcbNlZ .partial-carousel-wrapper .carousel-prev{width:59px;background-position-x:16px;}} .hcbNlZ .partial-carousel-wrapper .carousel-next{background:url('data:image/svg+xml;base64,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') no-repeat 18.5px;height:52px;width:61px;display:inline-block;padding:0px;cursor:pointer;border:0;} @media (min-width:767.5px){.hcbNlZ .partial-carousel-wrapper .carousel-next{width:51px;}} @media (min-width:991.5px){.hcbNlZ .partial-carousel-wrapper .carousel-next{width:59px;}} .hcbNlZ .partial-carousel-wrapper .partial-carousel-next-prev{position:absolute;right:0;bottom:-50px;height:50px;} @media (min-width:767.5px){.hcbNlZ .partial-carousel-wrapper .partial-carousel-next-prev{bottom:0;}} .hcbNlZ .partial-carousel-wrapper .floats-partial-content{padding:12px;} .hcbNlZ .partial-carousel-wrapper .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{border-left:none;} .hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-content{display:none;} .hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer{background-image:url(https://w2o-xhtml-parsed-preprod.s3-eu-west-1.amazonaws.com/table_thumb.svg);background-repeat:no-repeat;background-position:17px 17px;background-size:100px 70px;border-top:none;min-height:110px;position:relative;} .hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer .table-thumb-overlay{cursor:pointer;position:absolute;left:17px;top:17px;height:70px;width:100px;} .hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer .caption-text{padding-left:137px;padding-right:0px;position:relative;} .hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer .caption-text .caption-text-overlay{cursor:pointer;position:absolute;top:20px;left:135px;height:20px;width:60px;} .hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer .floats-partial-caption-text{color:black;display:block !important;-webkit-text-decoration:none;text-decoration:none;width:auto;margin-left:140px;margin-right:20px;padding:0px 0px 15px 0px;width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;} .hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer .minimize_btn{display:none !important;} .hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer .expand_btn{display:none !important;} @media (max-width:567px){.hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer{background-size:60px 45px;}.hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer .table-thumb-overlay{height:45px;width:60px;}.hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer .caption-text{padding:30px 0px 15px 95px;}.hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer .caption-text .caption-text-overlay{top:30px;left:95px;}.hcbNlZ .partial-other-wrapper[data-section*="tab"] .floats-partial-footer .floats-partial-caption-text{margin:0px 20px;}} .hcbNlZ .owl-item{overflow-y:hidden;margin-bottom:0;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;-webkit-box-pack:center;-webkit-justify-content:center;-ms-flex-pack:center;justify-content:center;} .hcbNlZ .supplementary--docs{display:-ms-flexbox;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;padding-left:2em;} @media (min-width:767.5px){.hcbNlZ .supplementary--docs{padding-left:1em;}} .hcbNlZ .supplementary--docs li{-ms-flex:0 0 100%;-webkit-flex:0 0 100%;-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%;} @media (min-width:991.5px){.hcbNlZ .supplementary--docs li{-ms-flex:0 0 50%;-webkit-flex:0 0 50%;-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%;}} .hcbNlZ .supplementary--docs li a::after{content:'';background :url(data:image/svg+xml;base64,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) no-repeat 5px;padding-right:35px;background-size:14px;} .hcbNlZ .dataset-section .supplementary--dpis-desc{padding-left:19px;} .hcbNlZ .dataset-section .supplementary--dpis-desc p{margin:10px 0;} .hcbNlZ .table-group.fixed-width,.hcbNlZ .table-group.sidewaystable{min-width:auto;} .hcbNlZ .noliststyle{padding-left:1em;} .hcbNlZ .noliststyle li{padding-left:0;} .hcbNlZ .xml-content > hr{display:none;} .hcbNlZ sup,.hcbNlZ sub{vertical-align:baseline;position:relative;top:5px;} .hcbNlZ sup{top:-5px;} @media (min-width:767.5px){.hcbNlZ a{position:relative;}} .hcbNlZ a div.tooltip{cursor:auto;position:absolute;width:280px;background:#fff;border:1px solid #adadad;padding:20px;margin:0;display:none;z-index:2;color:#000;} @media (min-width:767.5px){.hcbNlZ a div.tooltip{width:400px;}} @media (min-width:991.5px){.hcbNlZ a div.tooltip{width:572px;}} .hcbNlZ a div.tooltip .cross{position:absolute;right:10px;top:10px;display:block;height:14px;width:14px;cursor:pointer;} .hcbNlZ a div.tooltip ol{margin:0;padding:0 0 10px 20px;} .hcbNlZ a div.tooltip ol li{text-align:left;margin:0;} .hcbNlZ a div.tooltip.left{left:20px;} @media (min-width:767.5px){.hcbNlZ a div.tooltip.left{left:-20px;}} @media (min-width:991.5px){.hcbNlZ a div.tooltip.left{left:-100px;}} .hcbNlZ a div.tooltip.right{right:20px;} @media (min-width:767.5px){.hcbNlZ a div.tooltip.right{right:-20px;}} @media (min-width:991.5px){.hcbNlZ a div.tooltip.right{right:-100px;}} .hcbNlZ a div.tooltip a.seeRef{padding-left:30px;} .hcbNlZ .gloss-abbr tr td:first-child{white-space:nowrap;} .hcbNlZ table.algorithm td{word-break:keep-all;} /* sc-component-id: sc-eInJlc */ .cfvYGB{width:100%;} @media (min-width:991.5px){.cfvYGB{width:19%;}} @media (min-width:1280px){.cfvYGB{width:24%;max-width:350px;}} .cfvYGB p{border:1px solid #E3E3E3;} /* sc-component-id: sc-gtfDJT */ .eVAVoo{-webkit-flex:1 0 30%;-ms-flex:1 0 30%;flex:1 0 30%;list-style:none;padding:0;-webkit-transition:-webkit-transform 0.5s;-webkit-transition:transform 0.5s;transition:transform 0.5s;} @media (min-width:320px) and (max-width:991.5px){.eVAVoo{position:fixed;width:100%;z-index:2;margin:0;margin-top:50px;top:169px;max-height:calc(100vh - 165px);overflow-y:auto;}} @media (min-width:767.5px) and (max-width:991.5px){.eVAVoo{top:179px;}} @media (min-width:991.5px) and (max-width:1200px){.eVAVoo{max-width:354px;-webkit-flex:1 0 20%;-ms-flex:1 0 20%;flex:1 0 20%;}} @media (min-width:1200px){.eVAVoo{-webkit-flex:1 0 25%;-ms-flex:1 0 25%;flex:1 0 25%;max-width:354px;}} .eVAVoo p{margin:0;padding:10px 0;font-size:16px;font-weight:700;line-height:24px;display:none;} @media (min-width:991.5px){.eVAVoo p{display:block;padding:10px 20px;border:1px solid #E3E3E3;border-bottom:0;}} .eVAVoo.links__hidden{display:none;} @media (min-width:991.5px){.eVAVoo.links__hidden{display:block;}} .eVAVoo.translate{-webkit-transform :translateY(-120px);-ms-transform :translateY(-120px);transform :translateY(-120px);} @media (min-width:768px){.eVAVoo.translate{-webkit-transform:translateY(-130px);-ms-transform:translateY(-130px);transform:translateY(-130px);}} @media (min-width:991.5px){.eVAVoo.translate{-webkit-transform:none;-ms-transform:none;transform:none;}.eVAVoo.translate #leftSectionMenu{-webkit-transform:translateY(-130px);-ms-transform:translateY(-130px);transform:translateY(-130px);}} /* sc-component-id: sc-fOICqy */ .iXqXlM{color:#4A4A4A;} /* sc-component-id: sc-hzDEsm */ .gxpLsG{font-size:16px;font-weight:500;line-height:20px;color:#4A4A4A;border:1px solid #E3E3E3;border-bottom:0;background-color:#f2f2f2;display:list-item;} @media (min-width:991px){.gxpLsG{-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}.gxpLsG:hover{background-color :#D8D8D8;-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}} .gxpLsG:last-child{border-bottom:1px solid #E3E3E3;} .gxpLsG a{display:block;padding:10px 20px;} /* sc-component-id: sc-jeCdPy */ .hPDggI{position:fixed;width:100%;height:50px;color:#4D8A17;background-color:#F2F2F2;border:none;font-size:16px;line-height:18px;font-weight:500;z-index:2;top:170px;-webkit-transition:-webkit-transform 0.5s;-webkit-transition:transform 0.5s;transition:transform 0.5s;text-align:left;border-top:1px solid #FFFFFF;} @media (min-width:320px) and (max-width:991.5px){.hPDggI{padding-left:15px;}} @media (min-width:767.5px){.hPDggI{top:179px;}} @media (min-width:991.5px){.hPDggI{display:none;}} .hPDggI .icon__dots{cursor:pointer;-webkit-transform:rotate(90deg) translateY(8px);-ms-transform:rotate(90deg) translateY(8px);transform:rotate(90deg) translateY(8px);margin-right:15px;} @media (min-width:991.5px){.hPDggI .icon__dots{padding-right:20px;margin-bottom:2px;-webkit-transform:none;-ms-transform:none;transform:none;}} .hPDggI.translate{-webkit-transform :translateY(-120px);-ms-transform :translateY(-120px);transform :translateY(-120px);top:170px;} @media(min-width:991.5px){.hPDggI.translate{-webkit-transform :translateY(-130px) rotate(90deg);-ms-transform :translateY(-130px) rotate(90deg);transform :translateY(-130px) rotate(90deg);}} /* sc-component-id: sc-gpHHfC */ .cdKJIh{padding:0;margin:20px 0;} .cdKJIh span{font-size:14px;} .cdKJIh span.isHide{display:none;} .cdKJIh span i{font-style:italic;} .cdKJIh span i.isHide{display:none;} /* sc-component-id: sc-gVyKpa */ .kNPCsS{width:16px;margin:0 2px 2px;} /* sc-component-id: sc-eXNvrr */ .jzSEeN{width:16px;margin-bottom:2px;} /* sc-component-id: sc-cpmKsF */ .dxqSPm{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;border:none;font-size:12px;font-weight:500;margin-top:7px;padding:0;color:#4D8A17;-webkit-text-decoration:none;text-decoration:none;cursor:pointer;} .dxqSPm:hover{-webkit-text-decoration:underline;text-decoration:underline;} @media (min-width:767.5px){.dxqSPm{margin-top:5px;}} /* sc-component-id: sc-kQsIoO */ .lnoGXA{overflow-y:hidden;height:auto;max-height:100%;-webkit-transition:all .5s;transition:all .5s;} .lnoGXA.isHide{max-height:0;-webkit-transition:all .5s;transition:all .5s;} .lnoGXA p:first-child{margin-top:15px;} .lnoGXA p{font-size:14px;line-height:23px;display:block;} .lnoGXA sup{margin-top:-5px;} /* sc-component-id: sc-gPzReC */ .jVvWtU{border:none;border-top:1px solid #E3E3E3;height:2px;margin:15px 0;} .jVvWtU.hr__author{margin-bottom:12px;} /* sc-component-id: sc-dxZgTM */ @media (min-width:320px) and (max-width:991.5px){.lwEtq{display:none;}} @media (min-width:991.5px){.lwEtq{z-index:1;}} /* sc-component-id: sc-iomxrj */ .fOYLEe{background-color:#6ba339;color:#ffffff;display:none;} .fOYLEe span.text{padding-left:20px;} @media (min-width:991px){.fOYLEe{-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}.fOYLEe:hover{background-color :#D8D8D8;-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}} /* sc-component-id: sc-dvCyap */ .gEbQUn{background-color:#f2f2f2;color:#4a4a4a;display:none;} .gEbQUn span.text{padding-left:20px;} @media (min-width:991.5px) and (max-width:1279.5px){.gEbQUn{display:none !important;}} @media (min-width:991px){.gEbQUn{-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}.gEbQUn:hover{background-color :#D8D8D8;-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}} @media (min-width:991.5px){.gEbQUn.hide{display:none !important;}} /* sc-component-id: sc-iFMziU */ .bGHCWJ{background-color:#f2f2f2;color:#4a4a4a;display:none;} .bGHCWJ span.text{padding-left:20px;} @media (min-width:1279.5px){.bGHCWJ{display:none !important;}} @media (min-width:991px){.bGHCWJ{-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}.bGHCWJ:hover{background-color :#5D9230;-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}} @media (min-width:991.5px){.bGHCWJ.hide{display:none !important;}} /* sc-component-id: sc-cBdUnI */ .blbVzE{background-color:#f2f2f2;border-top:1px solid #ffffff;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;font-size:14px;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between;padding:20px 55px 20px 25px;} @media (max-width:1279.5px){.blbVzE{padding-right:20px;}} @media (max-width:991.5px){.blbVzE{display:none;}} /* sc-component-id: sc-exkUMo */ .bzUZma div{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;} .bzUZma div:last-of-type{padding-top:20px;} .bzUZma span{color:#4F4F4F;font-size:20px;font-weight:700;line-height:26px;} /* sc-component-id: sc-kcDeIU */ .eatOFG{-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column-reverse;-ms-flex-direction:column-reverse;flex-direction:column-reverse;height:100%;-webkit-box-pack:end;-webkit-justify-content:flex-end;-ms-flex-pack:end;justify-content:flex-end;} .eatOFG span{padding-top:15px;} /* sc-component-id: sc-drKuOJ */ @media (min-width:991.5px){.cBpQvD{width:100%;z-index:1;}} /* sc-component-id: sc-gRnDUn */ .cZpOzA{background-color:#F2F2F2;color:#4A4A4A;border-top:1px solid #FFFFFF;font-size:16px;font-weight:500;padding:20px;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;cursor:pointer;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between;} @media (min-width:991px){.cZpOzA{-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}.cZpOzA:hover{background-color :#D8D8D8;-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}} @media (min-width:991.5px){.cZpOzA.hide{display:none !important;}} .cZpOzA.active .icon-themeable{-webkit-transform:rotate(180deg);-ms-transform:rotate(180deg);transform:rotate(180deg);} /* sc-component-id: sc-cmjSyW */ .cpuiKr{display:none;} /* sc-component-id: sc-sdtwF */ .hnolyX{background-color:#f2f2f2;border-radius:0;border-top:1px solid #e3e3e3;font-size:16px;color:#4a4a4a;font-weight:500;padding:11px 20px;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;} @media (min-width:991px){.hnolyX{-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}.hnolyX:hover{background-color :#D8D8D8;-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}} /* sc-component-id: sc-iYUSvU */ .jmLwpf{-webkit-flex:1 0 90%;-ms-flex:1 0 90%;flex:1 0 90%;padding-left:50px;} @media (min-width:767.5px){.jmLwpf{padding-left:93px;}} @media (min-width:991.5px){.jmLwpf{padding-left:50px;}} /* sc-component-id: sc-cHSUfg */ .prPtb{width:20px;height:24px;} /* sc-component-id: sc-cTjmhe */ .jIQcJs{width:22px;height:21px;padding:2px;} /* sc-component-id: sc-cugefK */ .gzkcXu{-webkit-flex:1 0 80%;-ms-flex:1 0 80%;flex:1 0 80%;padding-left:26px;} @media (min-width:767.5px){.gzkcXu{padding-left:69px;}} @media (min-width:991.5px){.gzkcXu{padding-left:20px;}} @media (min-width:991.5px) and (max-width:1279.5px){.gzkcXu{display:none;}} /* sc-component-id: sc-fnwBNb */ .iaVowO{display:none;} @media (min-width:991.5px){.iaVowO{padding-left:20px;max-width:100px;display:inline;}} @media (min-width:1279.5px){.iaVowO{display:none;}} /* sc-component-id: sc-iNhVCk */ .gOltjj{width:100%;border-left:1px solid #f2f2f2;border-right:1px solid #f2f2f2;border-bottom:none;cursor:pointer;} .gOltjj li{background-color:#f2f2f2;} @media (min-width:991px){.gOltjj li{-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}.gOltjj li:hover{background-color :#ffffff;-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}} .gOltjj h3{display:none;} /* sc-component-id: sc-eAKXzc */ .Lnbhf{background-color:#f2f2f2;color:#4a4a4a;display:block;border-top:1px solid #ffffff;border-radius:0;font-size:16px;font-weight:500;padding:20px;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;cursor:pointer;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between;} .Lnbhf .right__icon{padding:0;height:16px;width:20px;} @media (min-width:991px){.Lnbhf{-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}.Lnbhf:hover{background-color :#D8D8D8;-webkit-transition:background-color 0.25s ease-in-out 0s;transition:background-color 0.25s ease-in-out 0s;}} @media (min-width:991.5px){.Lnbhf.hide{display:none !important;}} /* sc-component-id: sc-bfYoXt */ .jGASYF{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;width:25%;float:right;margin-top:-49px;} @media (max-width:374px){.jGASYF{width:26.5%;}} @media (min-width:992px){.jGASYF{display:none;}} /* sc-component-id: sc-gbOuXE */ .ijtMvb{background-color:#6BA339;color:white;-webkit-flex:1 0 25%;-ms-flex:1 0 25%;flex:1 0 25%;z-index:100;padding:14px 16px 10px 19px;border-radius:0px;border-bottom:1px solid #FFFFFF;} @media (min-width:320px) and (max-width:767px){.ijtMvb{border-bottom:none;padding:16px 16px 14px 16px;font-size:14px;}.ijtMvb .article_toolbar_icon{display:none;}} /* sc-component-id: sc-dRFtgE */ .ciIPDK{margin-right:16px;width:24px;height:24px;} /* sc-component-id: sc-gkFcWv */ .yDBBr{width:16px;height:auto;float:right;} @media (min-width:767.5px){.yDBBr{width:24px;height:24px;}} /* sc-component-id: sc-ciodno */ .dodfTt{font-size:14px;padding:16px 20px 24px;} @media (max-width:991px){.dodfTt{display:none;}} /* sc-component-id: sc-gGCbJM */ .eslOan{font-size:14px;} .eslOan:hover{-webkit-text-decoration:underline;text-decoration:underline;} /* sc-component-id: sc-lcpuFF */ .dIyyAR{font-size:14px;font-weight:bold;} /* sc-component-id: sc-guztPN */ .fbNqBY{width:100%;height:auto;background-color:#4A4A4A;font-family:'IBM Plex Sans',sans-serif;font-size:14px;font-weight:500;color:#fff;padding:15px 20px;line-height:20px;position:fixed;bottom:0px;z-index:3;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between;-webkit-transition:-webkit-transform .25s;-webkit-transition:transform .25s;transition:transform .25s;} .fbNqBY a{color:#7ED321;} .fbNqBY p{display:inline;margin:0;} .fbNqBY.hideBanner{-webkit-transform:translateY(100%);-ms-transform:translateY(100%);transform:translateY(100%);} /* sc-component-id: sc-hcnlBt */ .xJPtD{background:transparent;border:none;height:20px;width:20px;margin-left:20px;padding:0;cursor:pointer;} /* sc-component-id: sc-hkbPbT */ .gLaWXk{min-width:20px;height:20px;} /* sc-component-id: baseContent__Main-sc-134g3di-2 */ .cmzomn{margin-top:140px;} @media (min-width:767.5px){.cmzomn{margin-top:85px;}} @media (min-width:991.5px){.cmzomn{margin-top:70px;min-height:calc(100vh - 334px);}} /* sc-component-id: threeColumn__ThreeColumnWrapper-sc-1bf4078-0 */ .comSpQ{width:100%;} @media only screen and (min-width:992px){.comSpQ{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-flow:row wrap;-ms-flex-flow:row wrap;flex-flow:row wrap;padding:0 20px;max-width:1440px;margin:0 auto;}} @media (min-width:991.5px) and (max-width:1100.5px){.comSpQ .partenership__collabText{font-size:12px;}} @media (min-width:1100.5px) and (max-width:1200.5px){.comSpQ .partenership__collabText{font-size:14px;}} @media (min-width:991.5px) and (max-width:1071.5px){.comSpQ .partenership__logoWrapper img{margin-left:20px;margin-bottom:10px;}.comSpQ .partenership__logoWrapper img:last-child{margin-left:0;margin-bottom:0;}} @media (max-width:1150px){.comSpQ .journal-metrics-container{display:none;}} /* sc-component-id: threeColumn__LeftWrapper-sc-1bf4078-1 */ @media only screen and (min-width:992px){.fkVFlF{width:20%;}} @media only screen and (min-width:1280px){.fkVFlF{width:25%;}} /* sc-component-id: threeColumn__RightWrapper-sc-1bf4078-2 */ .jzTMLK{-webkit-transition:-webkit-transform 0.5s;-webkit-transition:transform 0.5s;transition:transform 0.5s;} @media only screen and (min-width:992px){.jzTMLK{width:20%;margin-bottom:60px;}.jzTMLK.translate{-webkit-transform:translateY(-130px);-ms-transform:translateY(-130px);transform:translateY(-130px);}} @media only screen and (min-width:1280px){.jzTMLK{width:25%;}} /* sc-component-id: threeColumn__ContentWrapper-sc-1bf4078-3 */ .bbzREB{margin:0 20px;overflow:hidden;} @media only screen and (min-width:992px){.bbzREB{width:calc(60% - 40px);}} @media only screen and (min-width:1280px){.bbzREB{width:calc(50% - 40px);}} /* sc-component-id: threeColumn__Content-sc-1bf4078-4 */ .jknsZc{margin:0 auto;overflow:hidden;} @media only screen and (min-width:768px){.jknsZc{max-width:688px;}} @media only screen and (min-width:992px){.jknsZc{max-width:100%;}} @media only screen and (min-width:1075px){.jknsZc{max-width:572px;}} /* sc-component-id: article__BaseStyle-sc-10qhnp8-0 */ .gnduKR{width:100%;margin-top:170px;} @media (min-width:767.5px){.gnduKR{margin-top:179px;}} @media (min-width:991.5px){.gnduKR{margin-top:180px;min-height:840px;}} /* sc-component-id: article__StickyStyle-sc-10qhnp8-1 */ .bomGMi{width:100%;max-width:1440px;z-index:3;-webkit-transition:all .5s;transition:all .5s;} .bomGMi.translate{-webkit-transform:translateY(-120px);-ms-transform:translateY(-120px);transform:translateY(-120px);} @media (min-width:767.5px){.bomGMi.translate{-webkit-transform:translateY(-130px);-ms-transform:translateY(-130px);transform:translateY(-130px);}} @media (min-width:991.5px){.bomGMi.translate{-webkit-transform:translateY(-130px);-ms-transform:translateY(-130px);transform:translateY(-130px);}} /* sc-component-id: article__SubtitleStyled-sc-10qhnp8-2 */ .hdSPnx{background-color:#007B8B;opacity:0.8;color:#fff;margin-bottom:0;margin-top:0;padding:17px 0 17px 20px;line-height:23px;height:60px;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;font-size:20px;font-weight:500;} @media (min-width:767.5px){.hdSPnx{line-height:26px;}} @media (min-width:991.5px){.hdSPnx{line-height:50px;padding:5px 0 5px 20px;height:60px;}} /* sc-component-id: article__JournalMenuTitle-sc-10qhnp8-3 */ .dDYYdJ{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-align-items:center;-webkit-box-align:center;-ms-flex-align:center;align-items:center;font-size:16px;font-weight:500;line-height:20px;height:50px;width:100%;background-color:#007B8B;color:#fff;text-align:left;padding-left:14px;padding-right:0;border:0;border-top:1px solid #fff;} .dDYYdJ span{font-size:24px;padding-right:14px;} @media (min-width:991.5px){.dDYYdJ{display:none;}} /* sc-component-id: article__WhiteWrapper-sc-10qhnp8-5 */ .eywbjC{background-color:#fff;display:block;} .eywbjC h1,.eywbjC h2{color:#fff;} .eywbjC h2{font-size:20px;} @media (min-width:767.5px){.eywbjC h2{font-size:25px;}} .eywbjC h1{font-size:20px;} @media (min-width:767.5px){.eywbjC h1{font-size:24px;}} @media (min-width:991.5px){.eywbjC h1{font-size:40px;}} /* sc-component-id: articleContent__ArticleContentsWrapper-sc-2yl9jy-0 */ .eSvjPB{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;width:100%;} .eSvjPB .author__editor--hr{display:block;} /* sc-component-id: articleContent__ArticleContentsSectionsWrapper-sc-2yl9jy-1 */ .jntdRu{width:100%;} @media (max-width:991.5px){.jntdRu{margin-top:52px;}} .jntdRu p{margin:12px 0;line-height:20px;} .jntdRu .articlecontent__alignment{width:100%;min-width:306px;padding-left:7px;padding-right:7px;} @media (min-width:346px){.jntdRu .articlecontent__alignment{padding-left:20px;padding-right:20px;}} @media (min-width:767.5px){.jntdRu .articlecontent__alignment{width:543px;margin:auto;padding-left:0px;padding-right:0px;}} @media (min-width:991.5px){.jntdRu .articlecontent__alignment{max-width:612px;width:75%;margin:inherit;margin-left:50px;padding-left:20px;padding-right:20px;}} @media (min-width:1100px){.jntdRu .articlecontent__alignment{margin-left:118px;}} .jntdRu .article__title{padding-bottom:12px;} @media (min-width:767.5px){.jntdRu .article__title{padding-bottom:15px;}} .jntdRu .article__summary{padding-bottom:65px;} @media (min-width:991.5px){.jntdRu .article__summary{padding-bottom:75px;}} @media (min-width:767.5px){.jntdRu #vjs_video_3 button{-webkit-transform:none;-ms-transform:none;transform:none;left:40%;margin-top:0;}} .jntdRu .video-js .vjs-big-play-button{top:calc(50% - 22.5px);left:calc(50% - 50px);} .jntdRu .video-js{margin:20px 0;} .jntdRu a{color:#4D8A17;-webkit-text-decoration:none;text-decoration:none;cursor:pointer;} .jntdRu a:hover{-webkit-text-decoration:underline;text-decoration:underline;} /* sc-component-id: articleContent__ArticleWrapper-sc-2yl9jy-2 */ .hAzjHP{background-position:0px 0px;background-origin:content-box;background-size:99%;} /* sc-component-id: articleContent__EditorWrapper-sc-2yl9jy-3 */ .evMkvU{padding:0;} /* sc-component-id: articleContent__PublicationTimeLineWrapper-sc-2yl9jy-4 */ .fjviok{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-wrap:wrap;-ms-flex-wrap:wrap;flex-wrap:wrap;margin:15px 0 30px;border-bottom:1px solid #E3E3E3;} @media (min-width:767.5px){.fjviok{border-top:1px solid #E3E3E3;margin:20px 0 30px;}} /* sc-component-id: articleContent__PublcationCol-sc-2yl9jy-5 */ .hgKieC{-webkit-flex-basis:0;-ms-flex-preferred-size:0;flex-basis:0;-webkit-box-flex:1;-webkit-flex-grow:1;-ms-flex-positive:1;flex-grow:1;max-width:100%;border-right:1px solid #E3E3E3;padding:5px 0 15px;} @media (min-width:767.5px){.hgKieC{padding:5px 0;}} .hgKieC.notPublished{display:none;} @media (min-width:767.5px){.hgKieC.notPublished{display:block;}} @media (max-width:767.5px){.hgKieC.isPublished{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;}.hgKieC.isPublished span:first-child::after{content:':';padding-right:3px;}} .hgKieC:last-child{border-right:none;} /* sc-component-id: articleContent__PublicationField-sc-2yl9jy-6 */ .cIribm{display:block;text-align:center;font-size:14px;font-weight:700;} /* sc-component-id: articleContent__PublicationValue-sc-2yl9jy-7 */ .khHUcu{display:block;text-align:center;font-size:14px;} /* sc-component-id: articleContent__TextWrapper-sc-2yl9jy-8 */ .fYrLtk{margin:-7px 0 -5px;font-size:14px;} /* sc-component-id: biblio__Wrapper-sc-1nou1lz-0 */ .eyHfWh{position:relative;} .eyHfWh.hide{display:none;} .eyHfWh hr{position:absolute;left:0;right:0;top:-30px;border-top:1px solid #E3E3E3;border-bottom:0;}.cBTaXT.hide{display:none;} .cBTaXT hr{display:none;} /* sc-component-id: biblio__BiblioWrapper-sc-1nou1lz-1 */ @font-face{font-family:'STIXGeneral-Bold';src:url('https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/_/hindawi-ui/fonts/STIXGeneral-Regular.otf');} .RnBiz{padding:0 20px 20px;} .RnBiz .bib__image{display:none;} .RnBiz .bib__title{font-size:20px;} .RnBiz .bib__name{font-size:18px;font-family:"STIXGeneral-Bold",serif !important;color:rgb(74,74,74);font-weight:700;} .RnBiz .bib--split .bib__link .bib__info,.RnBiz .bib--split .bib__link.bib__link--image .bib__info,.RnBiz [class*=bib--txt] .bib__link .bib__info,.RnBiz [class*=bib--txt] .bib__link.bib__link--image .bib__info{padding:10px 0 !important;} .RnBiz .bib__author{font-size:14px;line-height:22px;color:rgb(132,132,132);margin-top:3px;margin-bottom:0px;margin-right:20px;opacity:1;font-family:"IBM Plex Sans",sans-serif;font-weight:500;} .RnBiz #biblio_sidebar .bib__link{border-top:1px solid rgb(227,227,227) !important;padding-top:5px !important;padding-bottom:5px !important;} .RnBiz #biblio_sidebar .bib__link:first-child{border-top:0 !important;padding-top:0 !important;} .RnBiz #biblio_sidebar .bib__link:first-child .bib__info{padding-top:0 !important;} .RnBiz #biblio_widget .bib--split .bib__link .bib__info,.RnBiz #biblio_widget .bib--split .bib__link.bib__link--image .bib__info{padding:10px 15px 10px 0 !important;} @media (min-width:767.5px){.RnBiz{padding:0 40px 20px;}} @media (min-width:991.5px){.RnBiz{padding:0 20px;}} /* sc-component-id: biblio__H4-sc-1nou1lz-2 */ .kgAKHb{font-size:20px;font-family:"IBM Plex Sans";color:#000;font-weight:600;margin-top:34px;margin-bottom:18px;padding:0 20px;} /* sc-component-id: journal_article__ArticleStickyTopToolbar-sc-12fk6zy-0 */ .gbrQxi{display:none;} @media (min-width:991.5px){.gbrQxi{display:block;}.gbrQxi .article_top_toolbar{top:110px;z-index:-100;}.gbrQxi .article_top_toolbar .pdf_desktop{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;}.gbrQxi .article_top_toolbar .ref_desktop{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;}} .gbrQxi .article_toolbar_views{margin-top:-58px;display:block;text-align:right;} /* sc-component-id: journal_article__ArticleStickyBottomToolbar-sc-12fk6zy-1 */ @media (min-width:991.5px){.isgRZA .article_bottom_toolbar{top:292px;z-index:-10;}} /* sc-component-id: journal_article__BreadCrumbStyle-sc-12fk6zy-2 */ @media (min-width:991.5px){.bjwAQR{padding:16px 20px 24px;height:60px;}} /* sc-component-id: journal_article__ArticleBaseStyle-sc-12fk6zy-3 */ .NQpXC .content,.NQpXC .contentWrapper{overflow:visible;} /* sc-component-id: journal_article__BiblioIntegratorSidebar-sc-12fk6zy-4 */ .cYsVdk{max-width:350px;} @media (max-width:991.5px){.cYsVdk{display:none !important;}} /* sc-component-id: journal_article__BiblioIntegratorWidget-sc-12fk6zy-5 */ .dbAANp{background-color:#f5f5f5;padding:15px 20px 24px 20px;margin-top:2px;margin-bottom:20px;} @media (min-width:991.5px){.dbAANp{margin-top:-64px;margin-bottom:40px;}} .dbAANp .hrTitleRef{padding:0;margin-top:0;font-family:'IBM Plex Sans',sans-serif;} .dbAANp #biblio_widget{padding:0;}</style> </head> <body style="margin:0;box-sizing:border-box"> <div id="__next"> <div class="static_page"> <div class="page no__focus__outline"> <header class="sc-jTzLTM iDEFxF"> <div class="sc-bZQynM bNmdOy E_HUmlU2Hj3PpkDmWzKPd header__padding"> <div class="sc-cSHVUG hqwaVF mobileLogoFlex _1fpqArXPCxgnlv2rXZC2sl _1SoDWGr_FVsil9klRfjnhb"> <a class="sc-htpNat bUhGXt link" href="//www.newsama.com/" aria-label="Home"><img alt="标志“src="https://preprod-admin.w2o.hindawi.com/themes/custom/hindawi_extended/logo.svg" class="sc-dxgOiQ dtdpWS"></a> </div> <div class="sc-fjdhpX hCWCYG mobileButtonFlex _2v1j-tLx3hx0tgKcpPzH6B _3wm8FgzqRuRWouJG31YgKx E_HUmlU2Hj3PpkDmWzKPd"> <nav class="sc-bxivhb ivbKJD"> <ul class="sc-ifAKCX fopjOz sc-kGXeez eIIwaK"> <li class="navigation__link"><a class="sc-htpNat bUhGXt link link" href="//www.newsama.com/journals/" aria-label="Journals">期刊</a></li> <li class="navigation__link"><a class="sc-htpNat bUhGXt link link" href="//www.newsama.com/publish-research/" aria-label="Publish with us">雷电竞下载苹果</a></li> <li class="navigation__link"><a class="sc-htpNat bUhGXt link link" href="//www.newsama.com/publishing-partnerships/" aria-label="Publishing partnerships">raybet推荐吗</a></li> <li class="navigation__link"><a class="sc-htpNat bUhGXt link link" href="//www.newsama.com/about/" aria-label="About us">关于我们</a></li> <li class="navigation__link"><a class="sc-htpNat bUhGXt link link" href="//www.newsama.com/blog/" aria-label="Blog">博客</a></li> </ul> </nav> <button class="sc-kAzzGY eXznhK icon__search" aria-label="Search"><span class="sc-htoDjs khbeDd icon__search icon-colored _3hSk3ArgsWMFh5QJIGblNr icon-themeable" title="" font-size="24"></span></button> <button aria-label="Hamburger Menu" class="sc-jzJRlG feaNwj"><span class="sc-htoDjs khbeDd hamburger icon-colored _20YUA8q5mREEBfJm8VsdXV icon-themeable" title="" font-size="24"></span></button> </div> </div> </header> <div class="sc-bZQynM bNmdOy"></div> <main class="baseContent__Main-sc-134g3di-2 cmzomn article__BaseStyle-sc-10qhnp8-0 gnduKR DADtd11SJ4KyWZ2l6zAnr base_style journal_article__ArticleBaseStyle-sc-12fk6zy-3 NQpXC"> <div class="sc-bZQynM bNmdOy width_wrapper"> <div id="journal__navigation" class="sc-GMQeP cnVFQI article__StickyStyle-sc-10qhnp8-1 bomGMi"> <a class="sc-htpNat bUhGXt link article__WhiteWrapper-sc-10qhnp8-5 eywbjC" href="//www.newsama.com/journals/sp/" aria-label=""><h2 class="sc-hSdWYo drXyHg article__SubtitleStyled-sc-10qhnp8-2 hdSPnx _1ZrXcsbATVL_kHOpFAan9k">科学规划</h2></a> <button class="article__JournalMenuTitle-sc-10qhnp8-3 dDYYdJ journalNavCheck" id="journalMenuTitle"><span>+</span>杂志菜单</button> <div class="sc-bdVaJa EwsTm isHide" id="fadeOut"></div> <div class="sc-bfYoXt jGASYF"> <a class="sc-htpNat bUhGXt link sc-gbOuXE ijtMvb article-toolbar-link" href="//www.newsama.com/downloads/journals/sp/2020/8829432.pdf" aria-label="" target="_blank"><img alt="" class="sc-EHOje jOLhQl sc-dRFtgE ciIPDK article_toolbar_icon" title="" role="presentation" src="https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/node_modules/hindawi-ui/src/icon/svg/pdf.svg" height="24">PDF.<一世mg alt="" class="sc-EHOje jOLhQl sc-gkFcWv yDBBr" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"></a> </div> <nav id="journal__nav" class="sc-gJWqzi gyrlwB article__JournalNavigationStyle-sc-10qhnp8-4 gaRePw isHide journalNavCheck"> <div class="sc-eMigcr kvMqkB journalNavCheck"> <button class="sc-iAyFgw irxuxk sc-rBLzX bcjrxJ journalNavCheck" color="">日报》概述<span class="sc-htoDjs gvAGTV sc-CtfFt eGgIVT journalNavCheck icon__inactive icon-white _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="9"></span><span class="sc-htoDjs gvAGTV sc-CtfFt eGgIVT journalNavCheck icon__active icon-colored icon__hidden _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="9"></span></button> </div> <a class="sc-htpNat bUhGXt link sc-bMvGRv bWFUuQ" href="//www.newsama.com/journals/sp/guidelines/" aria-label="For authors">对于作者来说</a> <a class="sc-htpNat bUhGXt link sc-bMvGRv bWFUuQ" href="//www.newsama.com/publish-research/reviewers/" aria-label="For reviewers">对于审评人员来说</a> <a class="sc-htpNat bUhGXt link sc-bMvGRv bWFUuQ" href="//www.newsama.com/publish-research/editors/" aria-label="For editors">适用于编辑</a> <a class="sc-htpNat bUhGXt link sc-bMvGRv bWFUuQ" href="//www.newsama.com/journals/sp/contents/year/2021/" aria-label="Table of Contents">表的内容</a> <div class="sc-eMigcr kvMqkB journalNavCheck"> <button class="sc-iAyFgw irxuxk sc-rBLzX fFuCDm journalNavCheck" color="">特殊问题<span class="sc-htoDjs gvAGTV sc-CtfFt eGgIVT journalNavCheck icon__inactive icon-white _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="9"></span><span class="sc-htoDjs gvAGTV sc-CtfFt eGgIVT journalNavCheck icon__active icon-colored icon__hidden _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="9"></span></button> </div> <a class="sc-htpNat bUhGXt link sc-gFaPwZ kFIuIX submit__button journalNavCheck" href="//www.newsama.com/review/submit?journal=sp" aria-label="" target="" id=""><span><img alt="" class="sc-EHOje jOLhQl sc-fhYwyz lnpHcm" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"><span class="text">提交</span></span><span class="sc-htoDjs kNoiZu sc-jzgbtB bcxtxQ fileArrow icon-colored undefined icon-themeable" title="" font-size="16"></span></a> <div class="sc-laTMn itkvWp hide__submenu journalSubmenuCheck" id="journalnav__submenu"> <button class="sc-fjmCvl iHxDYu journalSubmenuCheck"><span class="sc-htoDjs gvAGTV sc-bHwgHz eILPxx journalSubmenuCheck icon-colored _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="9"></span></button> </div> <div class="sc-hGoxap RBVZC hide__submenu journal__nav__desktop" id="journalnav__submenudesktop"> <div order="0" class="sc-itybZL MzKKr"> <div class="sc-krDsej fedCNn"></div> <div class="sc-krDsej fedCNn"></div> </div> <div class="sc-dTdPqK hmOYYz"></div> <span class="sc-fzsDOv fsxuEC"></span> </div> </nav> </div> <div class="sc-ciodno dodfTt breadcrumb__wrapper journal_article__BreadCrumbStyle-sc-12fk6zy-2 bjwAQR article"> <a class="sc-htpNat bUhGXt link sc-gGCbJM eslOan breadCrumb" href="//www.newsama.com/journals/sp/" aria-label="Scientific Programming">科学规划</a>/<a class="sc-htpNat bUhGXt link sc-gGCbJM eslOan breadCrumb" href="//www.newsama.com/journals/sp/contents/year/2020/" aria-label="2020">2020.</a>/<span class="sc-lcpuFF dIyyAR">文章</span> </div> <div class="threeColumn__ThreeColumnWrapper-sc-1bf4078-0 comSpQ threeColumnWrapper"> <div class="threeColumn__LeftWrapper-sc-1bf4078-1 fkVFlF leftWrapper"> <button type="button" class="sc-jeCdPy hPDggI section__button " id="sectionButton"><span class="sc-htoDjs diutvq icon__dots dots__detector icon-colored _3n-7Ho7DlfjMlZbrRr9Q4a icon-themeable" title="" font-size="22"></span>文章部分</button> <div class="sc-gtfDJT eVAVoo static_contents__section_links links__hidden "> <div id="leftSectionMenu" class="sc-GMQeP fMysxi sc-eInJlc cfvYGB left_section_menu"> <p>在本页</p> <span class="sc-hzDEsm gxpLsG grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fOICqy iXqXlM" href="#abstract" aria-label="">抽象的</a></span> <span class="sc-hzDEsm gxpLsG grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fOICqy iXqXlM" href="#introduction" aria-label="">介绍</a></span> <span class="sc-hzDEsm gxpLsG grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fOICqy iXqXlM" href="#related-work" aria-label="">相关工作</a></span> <span class="sc-hzDEsm gxpLsG grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fOICqy iXqXlM" href="#results-and-discussion" aria-label="">结果与讨论</a></span> <span class="sc-hzDEsm gxpLsG grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fOICqy iXqXlM" href="#conclusions" aria-label="">结论</a></span> <span class="sc-hzDEsm gxpLsG grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fOICqy iXqXlM" href="#data-availability" aria-label="">数据可用性</a></span> <span class="sc-hzDEsm gxpLsG grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fOICqy iXqXlM" href="#conflicts-of-interest" aria-label="">利益冲突</a></span> <span class="sc-hzDEsm gxpLsG grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fOICqy iXqXlM" href="#acknowledgments" aria-label="">致谢</a></span> <span class="sc-hzDEsm gxpLsG grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fOICqy iXqXlM" href="#references" aria-label="">参考文献</a></span> <span class="sc-hzDEsm gxpLsG grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fOICqy iXqXlM" href="#copyright" aria-label="">版权</a></span> </div> </div> </div> <div class="threeColumn__ContentWrapper-sc-1bf4078-3 bbzREB contentWrapper"> <div class="threeColumn__Content-sc-1bf4078-4 jknsZc content"> <div class="articleContent__ArticleContentsWrapper-sc-2yl9jy-0 eSvjPB article_contents"> <div class="articleContent__ArticleContentsSectionsWrapper-sc-2yl9jy-1 jntdRu article_contents__sections_wrapper"> <div class="articleContent__ArticleWrapper-sc-2yl9jy-2 hAzjHP"> <div class="sc-ebFjAB jxEVjH article_header_class"> <p class="sc-hzNEM exLcDH article_type">研究文章|开放访问</p> <div class="sc-chbbiW kzNyka article_citation"> 体积 2020. <span class="sc-cooIXK hCCmjz">|</span>文章的ID 8829432. <span class="sc-cooIXK hCCmjz">|</span> <a class="sc-htpNat bUhGXt link sc-fcdeBU dJIaji" href="https://doi.org/10.1155/2020/8829432" aria-label="Doi-link">https://doi.org/10.1155/2020/8829432</a> </div> <div class="sc-bmyXtO gDNLQN article_full_citation"> <div class="sc-jtggT bycqoT isHide"> <p>Shuyue Zhou，Xiaobo Li，Yihong Dong，Hao Xu那 “<span>用于多标签分类的解耦和双向重采样方法，具有标签并发的不平衡数据</span>"，<i>科学规划</一世>那 卷。2020.那 文章的ID8829432.那 10.   页面那 2020.． https://doi.org/10.1155/2020/8829432</p> </div> <button class="sc-iAyFgw irxuxk sc-dEoRIm jkPgtr" color="">显示引文</button> </div> <h1 class="sc-gPEVay iUuzmH sc-kxynE OJqzj article_title heading-title">用于多标签分类的解耦和双向重采样方法，具有标签并发的不平衡数据</h1> </div> <div class="sc-gpHHfC cdKJIh article_authors"> <hr class="sc-gPzReC jVvWtU hr__author"> <span class="">水岳周<a class="sc-htpNat bUhGXt link" href="https://orcid.org/0000-0002-2355-3738" aria-label="Redirect to Doi" target="_blank"><img alt="" class="sc-EHOje iiusBg sc-eXNvrr jzSEeN" title="" role="presentation" src="data:image/svg+xml;base64,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" height="16"></a>那<sup>1</sup></span> <span class=""><b>小波李</b><a class="sc-htpNat bUhGXt link" href="mailto:" aria-label="Mail Option"><span class="sc-htoDjs kNoiZu sc-gVyKpa kNPCsS icon-colored _2zt-1j0LmaF8UjTQAM413G icon-themeable" title="" font-size="16"></span></a><a class="sc-htpNat bUhGXt link" href="https://orcid.org/0000-0001-8343-3124" aria-label="Redirect to Doi" target="_blank"><img alt="" class="sc-EHOje iiusBg sc-eXNvrr jzSEeN" title="" role="presentation" src="data:image/svg+xml;base64,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" height="16"></a>那<sup>2那3.</sup></span> <span class="">Yihong董那<sup>1</sup> 和</span> <span class="">郝徐<a class="sc-htpNat bUhGXt link" href="https://orcid.org/0000-0002-6627-4528" aria-label="Redirect to Doi" target="_blank"><img alt="" class="sc-EHOje iiusBg sc-eXNvrr jzSEeN" title="" role="presentation" src="data:image/svg+xml;base64,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" height="16"></a><sup>3.</sup></span> <div class="sc-kQsIoO lnoGXA isHide"> <p><sup>1</sup><span>宁波大学电气工程与计算机科学学院，宁波315211</span></p> <p><sup>2</sup><span>浙江师范大学数学与计算机科学学院，Jinhua 321004</span></p> <p><sup>3.</sup><span>丽水大学工程学院，丽水323000</span></p> </div> <button class="sc-iAyFgw irxuxk sc-cpmKsF dxqSPm" color="">展示更多</button> </div> <div class="articleContent__EditorWrapper-sc-2yl9jy-3 evMkvU"> <div class="articleContent__TextWrapper-sc-2yl9jy-8 fYrLtk"> <b>学术编辑：</b>伊凡Garcia-Magarino</div> <div class="articleContent__PublicationTimeLineWrapper-sc-2yl9jy-4 fjviok"> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">收到了</span> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2020年3月17日</span> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">修改后的</span> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2020年6月25日</span> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">公认</span> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2020年6月29日</span> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC isPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">发表</span> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2020年8月01</span> </div> </div> </div> <article class="sc-hgHYgh hcbNlZ article_body "> <div> <div class="xml-content"> <h4 class="header" id="abstract">抽象的</h4> <p>标签不平衡是Multilabel数据的特征之一，并且不平衡数据严重影响了分类器的性能。在Multilabel分类中，重采样方法主要用于处理不平衡的问题。现有的重采样方法通过欠采样或过采样进行平衡，这导致过度拟合和信息丢失。重采样对少数民族标签产生重大影响。此外，许多情况下多数标签和少数民族标签的高并发性也会影响分类的性能。在这项研究中，我们提出了一种双向重采样方法来解除多议标签数据集。一方面，通过设置去耦的终端条件，可以减少标签的并发性，另一方面，通过组合过采样和欠采样来缓解实例信息和过度装备的丢失。通过测量实例的少数群体标签，选择对少数群体标签影响的实例进行重新取样。重采样次数限制为保持在重新采样阶段期间数据的原始分布。七个基准Multilabel数据集的实验证明了算法的有效性，尤其是大多数标签和少数民族标签并发的数据集。</p> <span class="end-abs"></span> <h4 id="introduction">1.介绍</h4> <p>随着大数据时代的出现，近年来的数据分类受到了很多关注。不平衡数据通常发生在数据分类领域，包括医疗数据。数据不平衡意味着某些类别的实例远远高于其他类别。通常，与平衡数据集相比，大多数算法在处理不平衡数据时表现不佳。分类器的性能被偏置到多数类，并且在少数群体类上会出现更高的错误率。在实际应用中，我们倾向于更加关注少数阶级的正确分类结果;因此，正确识别少数群体比正确识别多数课程更为重要。例如，在肿瘤分类领域中，非讲患者是多数阶级，而肿瘤患者是少数阶级[<a href="#B1">1</a>，但我们更关心的是少数肿瘤患者。这些问题在医学影像分类、信用卡诈骗等领域也存在[<a href="#B2">2</a>]检测和网络入侵识别等。</p> <p>多标签不平衡问题与传统的不平衡问题不同。在多标签不平衡问题中，每个实例与一组标签相关联，而不是仅在二进制分类中的一种类型的标签。具有较大实例的类被称为多数类，它对应于大多数标签，并且具有较少数量的实例的类称为少数类，这对应于少数标签[<a href="#B3">3.</a>-<a href="#B5">5.</a>］.例如，在预测药物靶标中，由于每个药物分子可以对应于多个靶标，靶也可以对应于多种药物分子，但是一些目标含有比其余目标的实例更少，这大大增加了分类的难度。</p> <p>在传统的二进制分类中，因为每个样本仅对应于一个类，所以没有必要考虑不同类的影响。但是多标签分类必须面临新的挑战，其中一些实例包含多数标签和少数民族标签。这两种标签都是高度并发的，这使得能够正确地分类多标签数据更加困难。多标签数据不平衡和多数标签和少数民族标签的并发性经常共存。同时处理这两个问题时，他们通常需要一起考虑。</p> <h4 id="related-work">2.相关工作</h4> <p>根据实例标签的数量，将不均衡数据分为单标签不均衡数据和多标签不均衡数据。本节将介绍传统的单标签不平衡数据和多标签不平衡数据的重采样方法，并详细描述其优缺点。</p> <p>在传统的单标签不平衡数据处理方法中，相关研究可分为三个方面:算法级方法、代价敏感学习方法[<a href="#B6">6.</a>-<a href="#B8">8.</a>和数据级方法。在算法级方法中，对分类算法进行了改进，以适应不平衡数据集。改进算法通常通过移动决策边界来增强少数标签实例的存在性。洪等人[<a href="#B9">9.</a>]通过改进核分类器优化了不平衡数据集的分布。Liu等[<a href="#B10">10.</a>]应用加权GINI指数（WGI）选择特征的子集，这有利于准确确定少数阶级。成本敏感的学习通过惩罚错误分类来实现正确分类的目标。数据级方法主要关注重采样方法，包括underAppling [<a href="#B11">11.</a>]，过采样[<a href="#B12">12.</a>和SMOTE方法(合成少数过采样技术)。通过删除数据集中多数类的实例或增加少数类的实例来平衡数据。Galar等[<a href="#B13">13.</a>]比较了常用的非平衡学习算法，证明了数据预处理结合其他分类方法是一种有效的非平衡分类方法。康等人[<a href="#B14">14.</a>通过在执行重采样过程之前结合噪声滤波器提出了一种噪声过滤的下采样方案（NUS）。</p> <p>虽然多标号不平衡数据的处理也基于数据级方法和算法级方法，但传统的不平衡数据处理方法并不完全适用于多标号不平衡数据集。在以往的方法中，算法级方法主要侧重于调整现有的分类方法以适应不平衡数据[<a href="#B15">15.</a>那<a href="#B16">16.</a>］.传统的多标签[<a href="#B17">17.</a>分类是将多标签问题转化为两类问题[<a href="#B18">18.</a>那<a href="#B19">19.</a>或多重问题[<a href="#B20">20.</a>那<a href="#B21">21.</a>]，如标签Powerset（LP）[<a href="#B22">22.</a>]和二进制相关性（BR）[<a href="#B4">4.</a>］.Zhang等[<a href="#B23">23.</a>]改进了传统的分类算法并提出了Cocoa算法，它将原始MultiLabel数据集转换为一个二进制数据集和每个标签的多个多字符数据集，并将每个数据集重新列到构建不平衡分类器的目的。</p> <p>数据级方法更改实例的分布以实现数据集的余额。该方法主要关注重采样，包括过采样，以生成少数群体类和欠采样方法的新实例，以删除多数标签的一些实例。在Multilabel不平衡数据处理方法中，基于数据级别的方法应更加关注，因为该方法具有以下优点：（1）它与分类过程无关，并且可以在不打扰分类算法的情况下应用。（2）任务的分离允许不同的算法施加它们的优势。因此，一些研究人员对这方面进行了相关的研究。2015年，Dendamrongvit和Kubat提出了数据级LP-RUS（基于LP的随机欠载）和LP-ROS（基于LP的随机过度采样）[<a href="#B24">24.</a>算法及其改进算法ML-RUS (Multilabel Random Undersampling)和ML-ROS (Multilabel Random过采样)[<a href="#B25">25.</a>］.</p> <p>LP-RUS和LP-ROS方法都通过考虑数据集的标签集来决定如何重新采样。LP-RUS删除出现频率最高的标签集实例，LP-ROS克隆出现频率最低的标签集实例。在重采样过程中，LP-RUS和LP-ROS可能会导致一些标签出现新的不平衡。为了平衡数据集，ML-ROS算法随机复制少数标签相关的实例，增加数据集中少数标签出现的频率，ML-RUS算法随机删除多数标签的实例数量，减少实例集中多数标签出现的频率。</p> <p>ML-ROS和ML-RU重新采样数据集，从而提高了分类性能。但是，存在一些缺点：（1）仅使用超采样或欠采样，因此少数标签信息的冗余和多数标签信息的损失;（2）这些方法破坏了数据集的原始分布，对分类产生不利影响[<a href="#B26">26.</a>];(3)不能平衡多数标签和少数标签高度并发的实例。</p> <p>为了减轻少数标签和多数标签高度并发的问题，Charte等。[<a href="#B27">27.</a>]提出了补救措施 - HWR-ROS（对随机过度采样的补救杂交）和补救措施-HUR -US（用启发式欠采样纠正杂交）。补救算法独立于重采样算法，可以与各种重采样算法组合以解除多数和少数标签，降低标签之间的并发程度[<a href="#B28">28.</a>］.remedial - hrr - ros将高度并发的标签解耦，然后寻找与少数标签链接的实例，并从它们生成克隆。remedial - hcr - hus对高并发标签解耦，并采用欠采样处理。但这些算法存在以下几个问题:(1)算法并没有从根本上改变原有的缺点，仍可能造成严重的过拟合或信息丢失;(2)算法将数据集分为两部分。即使在解耦过程中解决了高并发问题，但解耦还会继续，分类过程中可能会出现过拟合。</p> <h4 id="our-approach">3.我们的方法</h4> <p>在本节中，我们提出了一种多标签解耦双向重采样算法（ML-DBR）。</p> <h5 id="sec3.1">３.１.相关定义</h5> <p>在研究多标签数据的不平衡问题中，为了测量数据不平衡程度，有两个测量指示指示器可以区分不同标签在多标签不平衡数据中：每标签（IR）的不平衡比和平均不平衡比（平均值）。</p> <p>让Multilabel DataSet<一世>D.</一世>= {(X<sub><i>一世</一世></sub>那<一世>L.</一世><sub><i>一世</一世></sub>）|0≤. <一世>一世</一世>≤<一世>N</一世>那<一世>L.</一世><sub><i>一世</一世></sub> ∈ Y}, where X<sub><i>一世</一世></sub>代表<一世>一世</一世>-数据集的第一个实例，<一世>L.</一世><sub><i>一世</一世></sub>是X的标签集吗<sub><i>一世</一世></sub>，y是数据集的标签集。<span class="equation_break" id="EEq1"><span class="left_break" id="L1"></span><span class="middle_break"><span class="center_break" id="M1"> <svg height="86.6919pt" id="M1-1" version="1.1" viewbox="0 0 32.295 86.6919" width="32.295pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B1-1"> <g transform="matrix(.013,0,0,-0.013,0,25.754)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z" id="g190-74"></path> </g> <g transform="matrix(.013,0,0,-0.013,4.44,25.754)"> <path d="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z" id="g190-83"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.74,25.754)"> <path d="M332 -241C217 -138 149 60 149 271C149 483 216 680 332 783L312 808C148 686 74 491 74 272V271C74 50 148 -146 312 -266L332 -241Z" id="g119-5"></path> </g> <g transform="matrix(.013,0,0,-0.013,19.76,25.754)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z" id="g113-122"></path> </g> <g transform="matrix(.013,0,0,-0.013,27.29,25.754)"> <path d="M311 271V272C311 491 237 686 73 808L53 783C169 680 236 483 236 271C236 60 168 -138 53 -241L73 -266C237 -146 311 50 311 271Z" id="g119-6"></path> </g> </g> </svg> <svg height="86.6919pt" id="M1-2" version="1.1" viewbox="0 0 159.914 86.6919" width="159.914pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B1-2"> <g transform="matrix(.013,0,0,-0.013,0,25.754)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.46,13.755)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z" id="g121-95"></path> </g> <g transform="matrix(.013,0,0,-0.013,18.05,13.755)"> <path d="M181 342V451C133 431 89 419 40 411V388C98 381 102 377 102 311V104C102 38 95 32 33 26V0H263V26C186 32 181 38 181 104V287C203 343 235 372 261 372C277 372 289 366 304 352C310 346 318 345 330 350C349 359 362 379 362 399C362 422 338 449 304 449C256 449 213 393 183 342H181Z" id="g121-112"></path> </g> <g transform="matrix(.013,0,0,-0.013,22.77,13.755)"> <path d="M463 437C426 431 375 425 327 422C297 440 264 449 231 449H230C153 449 51 396 51 283C51 215 94 168 139 149C123 129 91 103 51 88C50 78 53 60 62 46C75 25 100 2 136 -9C112 -28 73 -59 53 -79C38 -94 29 -113 29 -135C30 -192 91 -257 203 -257C336 -257 452 -160 452 -59C452 39 371 59 309 59C275 59 240 58 203 58C158 58 140 77 140 96C140 110 157 129 170 138C186 135 205 133 221 133C306 133 396 185 396 293C396 328 384 360 366 381L423 378C439 387 459 413 468 429L463 437ZM219 418C277 418 314 362 314 284C314 205 275 166 231 165C176 165 137 221 137 299C137 376 177 418 219 418ZM241 -11C285 -11 314 -14 339 -24C367 -36 384 -61 384 -95C384 -157 335 -206 240 -206C166 -206 108 -165 108 -110C108 -82 128 -54 154 -32C172 -17 195 -11 241 -11Z" id="g121-101"></path> </g> <g transform="matrix(.013,0,0,-0.013,33.27,13.755)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z" id="g121-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,43.88,13.755)"> <use xlink:href="#g121-95"></use> </g> <g transform="matrix(.013,0,0,-0.013,49.58,13.755)"> <path d="M474 0V26C414 34 401 43 364 100L267 248C300 297 324 332 345 358C381 400 394 405 455 411V437H272V411C316 406 323 401 305 370C287 337 267 306 247 276L188 369C169 397 173 405 215 411V437H16V411C71 404 83 396 114 348L201 212C171 167 144 127 116 92C77 42 66 34 4 26V0H190V26C139 34 136 43 156 77C175 113 198 150 220 183L294 66C311 39 302 31 260 26V0H474Z" id="g121-118"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,55.83,6.033)"> <path d="M679 650H432L424 619L456 615C499 610 507 601 486 568C442 499 366 400 315 336C281 403 229 526 211 570C199 600 202 610 239 614C239 614 281 618 281 619L288 650H33L24 619C98 612 106 606 129 552L226 325C238 297 238 282 234 259L211 136C193 42 184 38 97 32L86 0H375L382 32C285 39 277 45 296 136L324 267C329 290 337 304 350 322C420 416 479 489 523 539C582 607 595 613 668 619L679 650Z" id="g50-90"></path> </g> <g transform="matrix(.0065,0,0,-0.0065,60.91,8.133)"> <path d="M171 -163V705H102V-163H171Z" id="g176-9"></path> </g> <g transform="matrix(.0065,0,0,-0.0065,62.68,8.133)"> <path d="M691 650H435L427 617L459 613C504 607 511 597 489 564C444 495 372 400 321 340C286 404 239 512 216 566C203 596 206 604 242 610C242 610 285 615 285 617L293 650H35L25 617C101 610 111 604 134 551L231 327C243 299 244 282 240 260L218 143C200 46 191 42 102 35L88 0H385L394 35C290 40 284 50 305 143L333 268C338 292 342 304 357 323C428 413 485 484 529 533C591 603 602 611 678 617L691 650Z" id="g176-90"></path> </g> <g transform="matrix(.0065,0,0,-0.0065,67.07,8.133)"> <use xlink:href="#g176-9"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,55.83,17.796)"> <path d="M563 395C563 428 543 451 519 451C500 451 480 438 472 423C468 415 465 403 470 394C477 381 482 368 482 347C482 272 386 136 342 74H340C334 163 323 257 312 337C302 410 290 451 257 451C214 451 160 385 127 338L145 310C169 341 203 373 209 373C219 373 225 369 232 325C249 215 269 62 271 -15C220 -80 135 -165 18 -231L26 -257L142 -230C254 -105 279 -74 342 13C394 85 484 211 526 286C553 334 563 365 563 395Z" id="g50-122"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,61.17,17.796)"> <path d="M556 331V384H55V331H556ZM556 140V193H55V140H556Z" id="g54-34"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,66.73,17.796)"> <use xlink:href="#g50-90"></use> </g> <g transform="matrix(.0065,0,0,-0.0065,71.81,19.897)"> <path d="M394 0V37C301 42 295 50 295 122V635C236 613 178 596 109 583V553L165 551C205 549 209 544 209 495V122C209 50 203 42 111 37V0H394Z" id="g176-50"></path> </g> <g transform="matrix(.013,0,0,-0.013,78.27,13.755)"> <path d="M378 -385C239 -253 158 0 158 271S238 795 378 927L356 953C165 798 79 550 79 272V271C79 -10 165 -259 356 -411L378 -385Z" id="g119-133"></path> </g> <g transform="matrix(.013,0,0,-0.013,84.05,13.761)"> <path d="M697 -46L668 -39C637 -126 611 -142 545 -142H163L474 298L206 694H483C558 694 584 688 600 668C615 651 627 625 639 580L667 585L655 739H70V714L378 254L53 -203V-228H655L697 -46Z" id="g119-65"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,93.83,7.361)"> <path d="M167 -163V704H102V-163H167Z" id="g50-9"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,96.28,7.361)"> <path d="M786 370C786 572 637 650 431 650H137L130 618C217 606 220 603 204 519L129 127C115 48 107 39 26 30L18 0H270C410 0 516 20 609 75C722 140 786 240 786 370ZM683 373C683 178 547 40 323 40C298 40 264 40 241 45C213 51 207 64 220 127L295 545C304 582 309 595 320 601C335 610 367 613 406 613C570 613 683 538 683 373Z" id="g50-69"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,103.32,7.361)"> <use xlink:href="#g50-9"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,93.83,17.539)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z" id="g50-106"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,96.38,17.539)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,101.94,17.539)"> <path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path> </g> <g transform="matrix(.013,0,0,-0.013,106.92,13.755)"> <path d="M499 88L487 113C459 86 422 65 413 65C403 65 403 74 409 98L461 318C487 426 460 448 431 448C408 448 383 441 352 424C305 398 223 344 157 257H155L243 674C249 702 249 712 240 712C227 712 170 680 87 673L82 648H117C155 648 162 644 150 590L23 -4L30 -12C55 -4 81 3 105 8C113 53 131 150 143 187C199 281 323 387 372 387C390 387 393 369 380 311L328 86C313 19 319 -12 347 -12C379 -12 442 24 499 88Z" id="g113-105"></path> </g> <g transform="matrix(.013,0,0,-0.013,115.81,13.755)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,120.83,13.755)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,128.36,13.755)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z" id="g113-45"></path> </g> <g transform="matrix(.013,0,0,-0.013,133.5,13.755)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z" id="g113-77"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,141.8,16.886)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,144.85,13.755)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,149.94,13.755)"> <path d="M364 271V272C364 550 278 798 87 953L65 927C205 795 285 542 285 271S204 -253 65 -385L87 -411C278 -259 364 -10 364 271Z" id="g119-134"></path> </g> <rect height="0.65243" width="143.291" x="12.46" y="22.101"></rect> <g transform="matrix(.013,0,0,-0.013,49.62,37.486)"> <use xlink:href="#g119-65"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,60.61,31.177)"> <use xlink:href="#g50-9"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,63.06,31.086)"> <use xlink:href="#g50-69"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,70.1,31.177)"> <use xlink:href="#g50-9"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,72.58,31.177)"> <use xlink:href="#g50-9"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.41,41.268)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.96,41.268)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,67.52,41.268)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,75.54,37.48)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.013,0,0,-0.013,84.42,37.48)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.45,37.48)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.98,37.48)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,102.12,37.48)"> <use xlink:href="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,110.41,40.612)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,113.47,37.48)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,156.95,25.754)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="86.6919pt" id="M1-3" version="1.1" viewbox="0 0 126.944 86.6919" width="126.944pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B1-3"> <g transform="matrix(.013,0,0,-0.013,0,71.82)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.89,71.82)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.91,71.82)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.44,71.82)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.76,71.82)"> <use xlink:href="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,37.05,74.952)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.11,71.82)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,48.83,71.82)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,60.1,71.82)"> <path d="M533 -990V-954C407 -937 392 -869 392 -793L412 76C412 166 380 246 300 269V273C381 294 412 374 412 463C412 753 392 1055 392 1340C392 1413 407 1477 533 1494V1530C445 1530 317 1507 317 1312L327 436C327 378 321 302 144 292V248C321 238 327 162 327 104L317 -778C317 -970 445 -990 533 -990Z" id="g119-167"></path> </g> <g transform="matrix(.013,0,0,-0.013,68.68,61.305)"> <path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path> </g> <g transform="matrix(.013,0,0,-0.013,74.92,61.305)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,90.97,61.305)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,102.13,61.305)"> <path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z" id="g117-173"></path> </g> <g transform="matrix(.013,0,0,-0.013,112.63,61.305)"> <use xlink:href="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,120.92,64.436)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,123.47,64.436)"> <path d="M98 134C72 134 46 117 46 90C46 73 55 65 60 64C95 55 124 32 124 -4C124 -42 95 -68 44 -89L57 -123C122 -104 194 -60 194 22C194 94 136 134 98 134Z" id="g50-45"></path> </g> <g transform="matrix(.013,0,0,-0.013,68.68,81.945)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z" id="g113-49"></path> </g> <g transform="matrix(.013,0,0,-0.013,74.92,81.945)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,90.97,81.945)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,102.13,81.945)"> <path d="M448 1V51H364C325 51 289 60 257 75L304 230H448V280H320L374 459H448V509H389L420 610L366 627L329 507C189 491 80 384 80 255C80 173 123 101 191 54L144 -99L199 -116L242 26C279 10 321 1 365 1H448ZM245 230L207 108C171 139 146 182 140 230H245ZM313 454L260 280H140C151 366 221 435 313 454Z" id="g117-181"></path> </g> <g transform="matrix(.013,0,0,-0.013,112.63,81.945)"> <use xlink:href="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,120.92,85.076)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,123.98,81.945)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z" id="g113-47"></path> </g> </g> </svg> <svg class="alt_equation" height="110.116pt" id="I1" version="1.1" viewbox="0 0 173.54 110.116" width="173.54pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 -15.16)" xlink:href="#B1-1"></use> <use transform="matrix(1 0 0 1 13.6 23.42)" xlink:href="#B1-2"></use> <use transform="matrix(1 0 0 1 0 23.43)" xlink:href="#B1-3"></use> </svg></span></span><span class="right_break" id="R1"> <svg class="label" height="11.44pt" id="M1-4" version="1.1" viewbox="0 0 13.398 11.44" width="13.398pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B1-4"> <g transform="matrix(.013,0,0,-0.013,0,9.25)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 611 70 451 70 272V271C70 90 136 -71 282 -169L300 -147Z" id="g190-41"></path> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.25)"> <path d="M311 0V25C221 32 216 41 216 113V635C162 613 103 594 39 583V559L88 556C131 552 135 546 135 500V113C135 41 131 32 40 25V0H311Z" id="g190-213"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.9,9.25)"> <path d="M275 271C275 451 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 269V271Z" id="g190-42"></path> </g> </g> </svg> <svg class="alt_label" height="110.116pt" id="IL1" version="1.1" viewbox="0 0 13.45 110.116" width="13.45pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 49.13)" xlink:href="#B1-4"></use> </svg></span></span></p> <h5 id="sec3.2">3.2。MeanIR</h5> <p>MeanIR表示数据集不平衡的平均水平，如方程(<a href="#EEq2">2</a>）.MeanIR为所有标签IR的平均值:<span class="equation_break" id="EEq2"><span class="left_break" id="L2"></span><span class="middle_break"><span class="center_break" id="M2"> <svg height="41.7107pt" id="M2-1" version="1.1" viewbox="0 0 144.344 41.7107" width="144.344pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B2-1"> <g transform="matrix(.013,0,0,-0.013,0,24.229)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z" id="g190-78"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.25,24.229)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z" id="g190-102"></path> </g> <g transform="matrix(.013,0,0,-0.013,16.85,24.229)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z" id="g190-98"></path> </g> <g transform="matrix(.013,0,0,-0.013,22.44,24.229)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z" id="g190-111"></path> </g> <g transform="matrix(.013,0,0,-0.013,29.55,24.229)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.99,24.229)"> <use xlink:href="#g190-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.85,24.229)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,62.86,15.721)"> <use xlink:href="#g113-50"></use> </g> <rect height="0.65243" width="15.3714" x="58.31" y="20.575"></rect> <g transform="matrix(.013,0,0,-0.013,58.31,33.696)"> <path d="M162 -163V703H101V-163H162Z" id="g113-9"></path> </g> <g transform="matrix(.013,0,0,-0.013,61.74,33.455)"> <path d="M640 650H413L406 622L438 617C475 611 483 605 463 571C422 503 346 400 296 333C264 403 215 529 199 575C189 604 191 614 228 618L262 622L271 650H30L23 622C90 615 97 609 119 553L212 321C222 295 223 285 218 259L193 127C176 39 167 33 82 28L76 0H350L356 28C266 36 257 40 275 127L303 266C308 290 314 302 328 322C396 418 454 493 498 546C551 610 565 616 631 622L640 650Z" id="g113-90"></path> </g> <g transform="matrix(.013,0,0,-0.013,70.22,33.696)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,77.98,7.468)"> <use xlink:href="#g50-90"></use> </g> <g transform="matrix(.0065,0,0,-0.0065,83.06,9.569)"> <use xlink:href="#g176-9"></use> </g> <g transform="matrix(.0065,0,0,-0.0065,84.83,9.569)"> <use xlink:href="#g176-90"></use> </g> <g transform="matrix(.0065,0,0,-0.0065,89.21,9.569)"> <use xlink:href="#g176-9"></use> </g> <g transform="matrix(.013,0,0,-0.013,78.17,24.236)"> <path d="M956 -188L922 -180C881 -295 847 -317 759 -317H196L640 311L259 873H678C777 873 812 865 833 838C853 816 869 781 885 721L918 727L902 932H77V907L514 253L53 -396V-421H902L956 -188Z" id="g119-73"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,74.87,37.878)"> <use xlink:href="#g50-122"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,80.22,37.878)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,85.78,37.878)"> <use xlink:href="#g50-90"></use> </g> <g transform="matrix(.0065,0,0,-0.0065,90.86,39.979)"> <use xlink:href="#g176-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.81,24.229)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,101.84,24.229)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,106.27,24.229)"> <use xlink:href="#g190-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,116.57,24.229)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,121.59,24.229)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,129.12,24.229)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,134.17,24.229)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,141.38,24.229)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R2"> <svg class="label" height="11.44pt" id="M2-2" version="1.1" viewbox="0 0 15.038 11.44" width="15.038pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B2-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M411 139C381 76 368 73 314 73H129L267 224C351 317 400 380 400 469C400 574 322 635 233 635C176 635 128 610 98 576L40 495L63 476C89 515 130 568 198 568C274 568 316 519 316 436C316 347 251 264 191 192C142 134 85 76 30 21V0H403C415 45 425 89 438 131L411 139Z" id="g190-243"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.54,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span></p> <p>根据大学和IR，我们可以定义多数和少数民族标签。如果标签的IR值高于平均值，则它是少数标签;否则，它是多数标签。对于标签<一世>y</一世>,如果红外(<一世>y</一世>）>意思，它属于Minbag;否则，它属于Majbag。</p> <h5 id="sec3.3">３．3.渐淡(<a href="#B29">29.</a>]</h5> <p>此外，我们使用SCUMBLE度量来评估majority标签和minority标签之间的并发程度，它们的值在(0,1)范围内。该值越高，数据集中包含少数标签和多数标签的实例就越多:<span class="equation_break" id="EEq3"><span class="left_break" id="L3"></span><span class="middle_break"><span class="center_break" id="M3"> <svg height="89.0691pt" id="M3-1" version="1.1" viewbox="0 0 79.098 89.0691" width="79.098pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B3-1"> <g transform="matrix(.013,0,0,-0.013,0,20.415)"> <path d="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z" id="g190-84"></path> </g> <g transform="matrix(.013,0,0,-0.013,6.16,20.415)"> <path d="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z" id="g190-68"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.81,20.415)"> <path d="M716 650H478V622C549 617 570 605 575 566C579 535 582 493 582 401V326C582 161 537 40 393 40C269 40 205 133 205 294V521C205 611 213 617 291 622V650H33V622C111 615 120 611 120 521V272C120 154 148 80 208 34C252 0 309 -14 368 -14C434 -14 501 7 548 55C605 116 623 201 623 319V401C623 493 626 536 629 563C633 605 656 618 716 622V650Z" id="g190-86"></path> </g> <g transform="matrix(.013,0,0,-0.013,24.18,20.415)"> <use xlink:href="#g190-78"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.76,20.415)"> <path d="M372 352C427 368 507 407 507 502C507 548 486 592 451 616C420 638 376 650 301 650H44V622C124 616 128 610 128 527V123C128 40 122 34 36 28V0H257C336 0 402 12 453 40C512 72 548 124 548 191C548 291 471 335 372 350V352ZM213 362V558C213 591 216 602 226 608C235 614 258 618 282 618C377 618 415 558 415 490C415 406 369 362 260 362H213ZM213 328H258C380 328 450 283 450 181C450 76 377 35 296 34C231 34 213 53 213 125V328Z" id="g190-67"></path> </g> <g transform="matrix(.013,0,0,-0.013,43.35,20.415)"> <path d="M495 163C480 117 462 85 444 65C421 39 387 34 332 34C290 34 256 36 236 47C218 57 213 77 213 131V526C213 612 222 616 301 622V650H40V622C122 616 128 611 128 526V126C128 41 120 34 36 28V0H489C498 31 519 126 525 157L495 163Z" id="g190-77"></path> </g> <g transform="matrix(.013,0,0,-0.013,50.35,20.415)"> <path d="M517 162C503 123 484 88 467 68C445 42 417 34 341 34C291 34 256 34 237 47C219 59 213 81 213 128V317H308C395 317 402 311 415 240H444V431H415C403 364 398 356 307 356H213V584C213 613 215 616 246 616H322C394 616 421 609 435 587C448 566 458 544 467 502L496 506C493 557 488 625 488 650H42V622C120 616 128 612 128 523V125C128 43 120 35 29 28V0H511C520 31 540 125 546 158L517 162Z" id="g190-70"></path> </g> <g transform="matrix(.013,0,0,-0.013,60.13,20.598)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z" id="g113-41"></path> </g> <g transform="matrix(.013,0,0,-0.013,64.64,20.415)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z" id="g113-69"></path> </g> <g transform="matrix(.013,0,0,-0.013,74.6,20.598)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z" id="g113-42"></path> </g> </g> </svg> <svg height="89.0691pt" id="M3-2" version="1.1" viewbox="0 0 138.504 89.0691" width="138.504pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B3-2"> <g transform="matrix(.013,0,0,-0.013,0,20.415)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.6,11.907)"> <use xlink:href="#g113-50"></use> </g> <rect height="0.65243" width="6.55046" x="12.46" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,12.46,29.64)"> <path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z" id="g113-111"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,24.45,5.65)"> <path d="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z" id="g50-111"></path> </g> <g transform="matrix(.013,0,0,-0.013,20.2,20.421)"> <use xlink:href="#g119-73"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.49,34.064)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.04,34.064)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,28.6,34.064)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.55,20.598)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.06,20.415)"> <use xlink:href="#g190-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.23,20.415)"> <use xlink:href="#g190-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.87,20.415)"> <use xlink:href="#g190-86"></use> </g> <g transform="matrix(.013,0,0,-0.013,64.24,20.415)"> <use xlink:href="#g190-78"></use> </g> <g transform="matrix(.013,0,0,-0.013,75.83,20.415)"> <use xlink:href="#g190-67"></use> </g> <g transform="matrix(.013,0,0,-0.013,83.42,20.415)"> <use xlink:href="#g190-77"></use> </g> <g transform="matrix(.013,0,0,-0.013,90.41,20.415)"> <use xlink:href="#g190-70"></use> </g> <g transform="matrix(.013,0,0,-0.013,97.8,20.415)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,102.02,20.415)"> <use xlink:href="#g190-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,109.03,20.415)"> <path d="M319 325C317 349 306 409 297 431C277 440 250 449 209 449C117 449 57 389 57 319C57 243 122 209 182 182C232 159 261 135 261 91C261 48 227 21 190 21C130 21 85 79 68 145L41 140C41 104 51 36 58 22C75 7 121 -12 172 -12C252 -12 337 35 337 126C337 195 286 231 210 262C166 281 126 304 126 348C126 388 152 417 191 417C240 417 274 378 294 318L319 325Z" id="g190-116"></path> </g> <g transform="matrix(.013,0,0,-0.013,116.26,20.598)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,120.77,20.415)"> <path d="M244 607C244 633 228 655 200 655C166 655 146 618 146 594C146 564 166 546 191 546C221 546 244 574 244 607ZM222 91L209 114C184 94 148 66 133 66C127 66 124 73 130 96L201 370C213 416 211 448 191 448C162 448 88 407 29 352L42 328C73 354 104 371 114 371C120 371 119 365 115 345L53 92C32 5 45 -12 68 -12C103 -12 186 50 222 91Z" id="g113-106"></path> </g> <g transform="matrix(.013,0,0,-0.013,124.32,20.598)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,128.85,20.598)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,135.54,20.415)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="89.0691pt" id="M3-4" version="1.1" viewbox="0 0 88.748 89.0691" width="88.748pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B3-4"> <g transform="matrix(.013,0,0,-0.013,0,71.588)"> <use xlink:href="#g190-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.16,71.588)"> <use xlink:href="#g190-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.8,71.588)"> <use xlink:href="#g190-86"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.18,71.588)"> <use xlink:href="#g190-78"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.76,71.588)"> <use xlink:href="#g190-67"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.35,71.588)"> <use xlink:href="#g190-77"></use> </g> <g transform="matrix(.013,0,0,-0.013,50.34,71.588)"> <use xlink:href="#g190-70"></use> </g> <g transform="matrix(.013,0,0,-0.013,57.73,71.588)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,61.95,71.588)"> <use xlink:href="#g190-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.96,71.588)"> <use xlink:href="#g190-116"></use> </g> <g transform="matrix(.013,0,0,-0.013,76.19,71.77)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.7,71.588)"> <use xlink:href="#g113-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,84.25,71.77)"> <use xlink:href="#g113-42"></use> </g> </g> </svg> <svg height="89.0691pt" id="M3-5" version="1.1" viewbox="0 0 144.304 89.0691" width="144.304pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B3-5"> <g transform="matrix(.013,0,0,-0.013,0,71.588)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.26,71.588)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.4,71.588)"> <path d="M535 230V280H52V230H535Z" id="g117-33"></path> </g> <g transform="matrix(.013,0,0,-0.013,36.81,63.08)"> <use xlink:href="#g113-50"></use> </g> <rect height="0.65243" width="15.6086" x="32.14" y="67.934"></rect> <rect height="0.65243" width="15.6086" x="32.14" y="71.196"></rect> <g transform="matrix(.013,0,0,-0.013,32.14,82.281)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.57,82.281)"> <use xlink:href="#g190-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,44.69,85.413)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.12,71.588)"> <path d="M660 -1246C379 -940 215 -355 215 271C215 898 376 1482 660 1788L626 1823C273 1470 113 904 113 272V271C113 -367 273 -935 626 -1281L660 -1246Z" id="g119-225"></path> </g> <g transform="matrix(.013,0,0,-0.013,62.79,71.594)"> <path d="M1157 899V932H53V899C161 890 172 875 172 765V-254C172 -364 161 -380 58 -388V-421H402V-388C299 -380 288 -364 288 -254V839C288 867 291 871 322 871H887C914 871 920 868 920 841V-254C920 -364 909 -380 797 -388V-421H1153V-388C1047 -380 1036 -364 1036 -254V767C1036 875 1047 890 1157 899Z" id="g119-74"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,61.44,85.236)"> <use xlink:href="#g50-122"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.78,85.236)"> <path d="M496 -1V52H376C259 52 161 132 147 236H496V289H147C162 392 259 473 376 473H496V526H374C213 526 83 408 83 262S213 -1 374 -1H496Z" id="g54-173"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,72.05,85.236)"> <path d="M567 167L534 181C505 122 482 94 454 70C428 46 385 42 330 42C288 42 248 44 235 55C216 70 213 91 220 130L295 528C310 609 314 611 401 618L409 650H140L131 618C222 611 224 609 209 528L133 126C118 47 108 41 25 33L18 0H497C514 33 554 126 567 167Z" id="g50-77"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,77.32,85.236)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.94,71.588)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,84.37,71.588)"> <use xlink:href="#g190-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,92.49,74.719)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,97.72,71.588)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,102.75,71.588)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,110.28,71.588)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,115.33,71.588)"> <path d="M678 271V272C678 904 518 1470 165 1823L131 1788C415 1482 576 898 576 271C576 -355 412 -940 131 -1246L165 -1281C518 -935 678 -367 678 271Z" id="g119-232"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,125.65,51.042)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,130.08,51.042)"> <path d="M381 704H317L48 -163H112L381 704Z" id="g50-48"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,133.99,51.042)"> <path d="M485 418C485 434 469 451 441 451C389 451 312 387 255 335C221 304 194 278 159 242H157L259 678C264 698 264 710 255 710C242 710 183 681 96 673L90 643L128 642C165 641 171 640 162 602L24 -5L31 -12C51 -4 81 4 110 9L145 181C154 195 180 220 205 242C233 170 263 106 291 53C318 1 335 -12 360 -12C383 -12 425 0 483 82L463 105C437 79 411 57 400 57C388 57 378 68 355 110C329 156 288 244 268 298C299 333 355 376 405 376C426 376 440 373 448 368C453 365 465 368 468 373C477 386 485 405 485 418Z" id="g50-108"></path> </g> <g transform="matrix(.013,0,0,-0.013,141.34,71.588)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R3"> <svg class="label" height="11.44pt" id="M3-3" version="1.1" viewbox="0 0 14.868 11.44" width="14.868pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B3-3"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M269 381C298 400 325 421 340 436C360 455 370 476 370 504C370 579 313 635 223 635H222C170 635 123 610 95 579L52 516L72 497C95 533 136 577 193 577C245 577 286 546 286 482C286 408 218 369 127 339L133 314C149 319 174 325 197 325C254 325 324 285 324 192C325 83 266 39 201 39C143 39 103 68 78 91C70 98 62 97 54 91C45 84 33 71 32 58C30 46 34 35 48 22C61 10 102 -12 148 -12C216 -12 410 57 410 225C410 298 357 362 269 379V381Z" id="g190-232"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.37,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="label" height="11.44pt" id="M3-6" version="1.1" viewbox="0 0 15.458 11.44" width="15.458pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B3-6"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M465 179V225H369V632H330C227 497 124 346 29 205V179H289V107C289 37 284 33 198 26V0H454V26C374 33 369 37 369 107V179H465ZM289 225H92C156 335 222 430 287 520H289V225Z" id="g190-166"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.96,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span></p> <p>在等式（<a href="#EEq3">3.</a>)，<一世>N</一世>是数据集中的实例数，以及等式（<a href="#EEq3">4.</a>)，<一世>K.</一世>X的标签数是多少<sub><i>一世</一世></sub>和红外<sub><i>一世</一世></sub>IR是多少<一世>L.</一世><sub><i>一世</一世></sub>．</p> <h5 id="sec3.4">3.4。闵薄</h5> <p>相关研究[<a href="#B27">27.</a>]表明少数群体标签实例的重采样对实例中包含的其他少数标签的影响最大。重新采样某个标签时，此标签的重新采样还将其他少数群体标签中包含在实例中，这将干扰其他少数标签的重新采样。基于摇滚度量标准，我们提出了一个Min-Scumble度量标准，在重新采样时，在实例中对少数群体标签进行特别措施：<span class="equation_break" id="EEq5"><span class="left_break" id="L4"></span><span class="middle_break"><span class="center_break" id="M4"> <svg height="44.4934pt" id="M4-1" version="1.1" viewbox="0 0 124.368 44.4934" width="124.368pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B4-1"> <g transform="matrix(.013,0,0,-0.013,0,27.062)"> <use xlink:href="#g190-78"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.49,27.062)"> <path d="M135 536C164 536 186 560 186 587C186 617 164 639 136 639C109 639 85 617 85 587C85 560 109 536 135 536ZM252 0V26C188 32 181 38 181 106V451C138 433 90 420 39 412V388C99 379 102 374 102 312V106C102 38 95 32 32 26V0H252Z" id="g190-106"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.97,27.062)"> <use xlink:href="#g190-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.07,27.062)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.61,27.062)"> <use xlink:href="#g190-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.77,27.062)"> <use xlink:href="#g190-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,50.42,27.062)"> <use xlink:href="#g190-86"></use> </g> <g transform="matrix(.013,0,0,-0.013,59.79,27.062)"> <use xlink:href="#g190-78"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.37,27.062)"> <use xlink:href="#g190-67"></use> </g> <g transform="matrix(.013,0,0,-0.013,78.96,27.062)"> <use xlink:href="#g190-77"></use> </g> <g transform="matrix(.013,0,0,-0.013,85.96,27.062)"> <use xlink:href="#g190-70"></use> </g> <g transform="matrix(.013,0,0,-0.013,93.34,27.062)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,97.57,27.062)"> <use xlink:href="#g190-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,104.57,27.062)"> <use xlink:href="#g190-116"></use> </g> <g transform="matrix(.013,0,0,-0.013,111.8,27.245)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,116.32,27.062)"> <use xlink:href="#g113-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,119.87,27.245)"> <use xlink:href="#g113-42"></use> </g> </g> </svg> <svg height="44.4934pt" id="M4-2" version="1.1" viewbox="0 0 17.5 44.4934" width="17.5pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B4-2"> <g transform="matrix(.013,0,0,-0.013,0,27.062)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.26,27.062)"> <use xlink:href="#g113-50"></use> </g> </g> </svg> <svg height="44.4934pt" id="M4-3" version="1.1" viewbox="0 0 154.574 44.4934" width="154.574pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B4-3"> <g transform="matrix(.013,0,0,-0.013,0,27.062)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.41,18.554)"> <use xlink:href="#g113-50"></use> </g> <rect height="0.65243" width="15.6086" x="11.74" y="23.408"></rect> <rect height="0.65243" width="15.6086" x="11.74" y="26.671"></rect> <g transform="matrix(.013,0,0,-0.013,11.74,37.755)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.17,37.755)"> <use xlink:href="#g190-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,24.29,40.887)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.72,27.062)"> <use xlink:href="#g119-225"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.46,27.069)"> <use xlink:href="#g119-74"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,41.04,40.661)"> <use xlink:href="#g50-122"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,46.38,40.661)"> <use xlink:href="#g54-173"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,51.65,40.661)"> <path d="M810 0V30C751 35 744 40 744 106V296C744 396 694 451 614 451C583 451 558 438 537 425C512 409 485 391 454 368C434 420 390 451 342 451C309 451 285 439 260 424C228 405 206 387 185 372V453C141 434 90 421 43 413V386C102 378 105 373 105 309V106C105 41 96 35 29 30V0H243V30C194 35 185 41 185 106V335C216 360 256 389 297 389C357 389 384 348 384 275V106C384 41 374 35 312 30V0H530V30C475 35 465 41 465 104V294C465 313 464 324 463 336C502 367 539 389 576 389C637 389 663 346 663 274V109C663 41 653 35 593 30V0H810Z" id="g58-107"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,59.24,40.661)"> <path d="M138 535C169 535 191 560 191 589C191 620 168 644 139 644S85 620 85 589C85 560 110 535 138 535ZM257 0V30C192 35 185 43 185 109V453C142 435 94 422 40 414V386C101 378 104 372 104 311V109C104 41 97 35 33 30V0H257Z" id="g58-103"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,61.74,40.661)"> <path d="M532 0V30C473 38 467 38 467 107V298C467 395 416 451 336 451C307 451 279 439 251 420C226 404 205 389 185 374V453C142 434 94 422 43 413V386C98 378 104 373 104 309V107C104 41 100 38 31 30V0H251V30C191 35 185 40 185 107V337C216 364 255 389 295 389C360 389 386 347 386 276V110C386 44 380 35 321 30V0H532Z" id="g58-108"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,69.94,40.661)"> <use xlink:href="#g190-67"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,75.37,40.661)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,79.32,40.661)"> <path d="M463 437C426 431 375 425 327 422C297 440 264 449 231 449H230C153 449 51 396 51 283C51 215 94 168 139 149C123 129 91 103 51 88C50 78 53 60 62 46C75 25 100 2 136 -9C112 -28 73 -59 53 -79C38 -94 29 -113 29 -135C30 -192 91 -257 203 -257C336 -257 452 -160 452 -59C452 39 371 59 309 59C275 59 240 58 203 58C158 58 140 77 140 96C140 110 157 129 170 138C186 135 205 133 221 133C306 133 396 185 396 293C396 328 384 360 366 381L423 378C439 387 459 413 468 429L463 437ZM219 418C277 418 314 362 314 284C314 205 275 166 231 165C176 165 137 221 137 299C137 376 177 418 219 418ZM241 -11C285 -11 314 -14 339 -24C367 -36 384 -61 384 -95C384 -157 335 -206 240 -206C166 -206 108 -165 108 -110C108 -82 128 -54 154 -32C172 -17 195 -11 241 -11Z" id="g190-104"></path> </g> <g transform="matrix(.013,0,0,-0.013,83.67,27.062)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.1,27.062)"> <use xlink:href="#g190-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,96.22,30.194)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,101.45,27.062)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,106.48,27.062)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.013,0,0,-0.013,114.01,27.062)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,119.06,27.062)"> <use xlink:href="#g119-232"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,129.38,6.517)"> <path d="M309 -142C211 -61 151 99 151 271S210 601 309 683L288 710C141 611 75 451 75 272V271C75 90 141 -72 288 -169L309 -142Z" id="g50-41"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,132.64,6.517)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,137.07,6.517)"> <use xlink:href="#g50-48"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,140.98,6.517)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,145.61,6.517)"> <path d="M283 271C283 451 220 610 70 710L48 683C146 603 207 443 207 271S149 -59 48 -142L70 -169C220 -67 283 90 283 271Z" id="g50-42"></path> </g> <g transform="matrix(.013,0,0,-0.013,151.61,27.062)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg class="alt_equation" height="87.5274pt" id="I4" version="1.1" viewbox="0 0 178.7 87.5274" width="178.7pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 -17.88)" xlink:href="#B4-1"></use> <use transform="matrix(1 0 0 1 9.9 3.14)" xlink:href="#B4-2"></use> <use transform="matrix(1 0 0 1 24.09 43.03)" xlink:href="#B4-3"></use> </svg></span></span><span class="right_break" id="R4"> <svg class="label" height="11.44pt" id="M4-4" version="1.1" viewbox="0 0 14.898 11.44" width="14.898pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B4-4"> <g transform="matrix(.013,0,0,-0.013,0,9.25)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.25)"> <path d="M130 550H367L393 615L386 623H101L63 323C82 331 123 342 165 342C275 342 328 277 328 188C328 107 283 40 201 40C141 40 99 72 78 91C69 99 59 98 51 91C39 81 30 67 29 58C28 48 33 37 46 24C60 10 104 -12 149 -12C203 -11 269 14 323 59C384 109 412 165 412 225C412 308 347 399 219 399C193 399 146 382 104 367L130 550Z" id="g190-161"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.4,9.25)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="87.5274pt" id="IL4" version="1.1" viewbox="0 0 14.96 87.5274" width="14.96pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 37.83)" xlink:href="#B4-4"></use> </svg></span></span>在哪里<一世>K.</一世>是少数民族标签的数量。</p> <h5 id="sec3.5">3．5．MeanSamples</h5> <p>此外，ML-DBR中使用了视图。手段代表所有标签到达平衡状态的所有标签所需的实例数。通过将具有最高出现频率的标签实例除以平均值来计算它：<span class="equation_break" id="EEq6"><span class="left_break" id="L5"></span><span class="middle_break"><span class="center_break" id="M5"> <svg height="35.1602pt" id="M5-1" version="1.1" viewbox="0 0 74.171 35.1602" width="74.171pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B5-1"> <g transform="matrix(.013,0,0,-0.013,0,25.754)"> <use xlink:href="#g190-78"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.24,25.754)"> <use xlink:href="#g190-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.84,25.754)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,22.43,25.754)"> <use xlink:href="#g190-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,31.72,25.754)"> <use xlink:href="#g190-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,37.88,25.754)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.47,25.754)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z" id="g190-110"></path> </g> <g transform="matrix(.013,0,0,-0.013,53.87,25.754)"> <path d="M169 380V459C122 440 66 423 24 416V392C86 384 90 382 90 317V-135C90 -201 81 -207 17 -213V-240H253V-213C176 -207 169 -201 169 -125V6C182 -1 208 -11 238 -12C368 12 487 109 487 260C487 358 421 449 310 449C298 449 279 444 261 433L169 380ZM169 346C196 367 237 389 269 389C341 389 403 329 403 221C403 109 347 37 263 37C228 37 191 53 169 76V346Z" id="g190-113"></path> </g> <g transform="matrix(.013,0,0,-0.013,60.59,25.754)"> <path d="M238 0V26C174 32 166 38 166 104V712C132 700 70 683 18 677V653C81 647 87 645 87 577V104C87 38 78 32 15 26V0H238Z" id="g190-109"></path> </g> <g transform="matrix(.013,0,0,-0.013,63.88,25.754)"> <use xlink:href="#g190-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,69.4,25.754)"> <use xlink:href="#g190-116"></use> </g> </g> </svg> <svg height="35.1602pt" id="M5-2" version="1.1" viewbox="0 0 167.324 35.1602" width="167.324pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B5-2"> <g transform="matrix(.013,0,0,-0.013,0,25.754)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.46,13.755)"> <use xlink:href="#g121-95"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.05,13.755)"> <use xlink:href="#g121-112"></use> </g> <g transform="matrix(.013,0,0,-0.013,22.77,13.755)"> <use xlink:href="#g121-101"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.27,13.755)"> <use xlink:href="#g121-107"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.88,13.755)"> <use xlink:href="#g121-95"></use> </g> <g transform="matrix(.013,0,0,-0.013,49.58,13.755)"> <use xlink:href="#g121-118"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,55.83,6.033)"> <use xlink:href="#g50-90"></use> </g> <g transform="matrix(.0065,0,0,-0.0065,60.91,8.133)"> <use xlink:href="#g176-9"></use> </g> <g transform="matrix(.0065,0,0,-0.0065,62.68,8.133)"> <use xlink:href="#g176-90"></use> </g> <g transform="matrix(.0065,0,0,-0.0065,67.06,8.133)"> <use xlink:href="#g176-9"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,55.83,17.796)"> <use xlink:href="#g50-122"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.17,17.796)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z" id="g50-31"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,64.46,17.796)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,70.02,17.796)"> <use xlink:href="#g50-90"></use> </g> <g transform="matrix(.0065,0,0,-0.0065,75.1,19.897)"> <use xlink:href="#g176-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,81.56,13.755)"> <use xlink:href="#g119-133"></use> </g> <g transform="matrix(.013,0,0,-0.013,87.34,13.761)"> <use xlink:href="#g119-65"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,97.13,7.361)"> <use xlink:href="#g50-69"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,97.13,17.539)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,99.68,17.539)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,105.24,17.539)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,110.22,13.755)"> <use xlink:href="#g113-105"></use> </g> <g transform="matrix(.013,0,0,-0.013,119.1,13.755)"> <use xlink:href="#g119-133"></use> </g> <g transform="matrix(.013,0,0,-0.013,124.88,13.755)"> <use xlink:href="#g113-122"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,132.41,8.013)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.013,0,0,-0.013,136.21,13.755)"> <use xlink:href="#g113-45"></use> </g> <g transform="matrix(.013,0,0,-0.013,141.35,13.755)"> <use xlink:href="#g113-90"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,148.46,16.887)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,151.52,13.755)"> <use xlink:href="#g119-134"></use> </g> <g transform="matrix(.013,0,0,-0.013,157.36,13.755)"> <use xlink:href="#g119-134"></use> </g> <rect height="0.65243" width="150.71" x="12.46" y="22.101"></rect> <g transform="matrix(.013,0,0,-0.013,66.71,34.98)"> <use xlink:href="#g190-78"></use> </g> <g transform="matrix(.013,0,0,-0.013,77.95,34.98)"> <use xlink:href="#g190-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,83.55,34.98)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.14,34.98)"> <use xlink:href="#g190-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.25,34.98)"> <use xlink:href="#g190-74"></use> </g> <g transform="matrix(.013,0,0,-0.013,100.69,34.98)"> <use xlink:href="#g190-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,164.36,25.754)"> <use xlink:href="#g113-47"></use> </g> </g> </svg> <svg class="alt_equation" height="57.2993pt" id="I5" version="1.1" viewbox="0 0 171 57.2993" width="171pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 -16.45)" xlink:href="#B5-1"></use> <use transform="matrix(1 0 0 1 3.63 22.14)" xlink:href="#B5-2"></use> </svg></span></span><span class="right_break" id="R5"> <svg class="label" height="11.44pt" id="M5-3" version="1.1" viewbox="0 0 15.428 11.44" width="15.428pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B5-3"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.49,9.26)"> <path d="M143 344C173 483 265 547 326 576C363 593 402 605 434 611L429 641C389 634 343 623 301 608C195 570 43 456 43 236C43 81 135 -12 245 -12C368 -12 453 88 453 208C453 310 380 393 273 393C253 393 232 386 211 376L143 344ZM234 338C325 338 367 255 367 172C367 102 346 21 264 21C184 21 132 113 132 239C132 267 133 291 138 312C164 327 197 338 234 338Z" id="g190-227"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.93,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="57.2993pt" id="IL5" version="1.1" viewbox="0 0 15.49 57.2993" width="15.49pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 22.72)" xlink:href="#B5-3"></use> </svg></span></span></p> <h5 id="sec3.6">3.6。算法</h5> <p>算法中给出了ML-DBR的伪代码<a href="//www.newsama.com/journals/sp/2020/alg1/" target="_blank">1</a>．算法分为解耦和重采样两个阶段。在第一阶段，解耦策略对高并发标签进行解耦，防止低并发标签实例的解耦(算法中的步骤4-10)<a href="//www.newsama.com/journals/sp/2020/alg1/" target="_blank">1</a>）.第二阶段结合过采样和欠采样，选择对少数标签影响较小的实例进行重采样(算法步骤11-24)<a href="//www.newsama.com/journals/sp/2020/alg1/" target="_blank">1</a>）.</p> <div class="floats-partial-section partial-other-wrapper" data-section="alg1"> <div class="floats-partial-content fig-content-alg1"> <table class="algorithm-group"> <tbody> <tr> <td> <table class="algorithm" id="alg1"> <tbody> <tr> <td></td> <td>算法ML-DBR：</T.d> </tr> <tr> <td></td> <td>输入：Multilabel数据集<一世>D.</一世>，重采样率<svg height="8.68572pt" id="M6" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.15071 8.68572" width="8.15071pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td>输出：预处理数据集<一世>D.</一世></td> </tr> <tr> <td></td> <td>去耦策略</T.d> </tr> <tr> <td></td> <td> (1) Calculate samplesToResampling = <svg height="11.439pt" id="M7" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 16.9586 11.439" width="16.9586pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,3.419,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,13.377,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> </svg> <svg height="10.1524pt" id="M8" style="vertical-align:-0.04990005pt" version="1.1" viewbox="-0.0498162 -10.1025 6.17869 10.1524" width="6.17869pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.0091,0,0,-0.0091,0,-5.741)"> <path d="M486 158C486 177 478 202 466 220C413 228 386 236 336 262C386 288 413 297 466 304C478 323 486 347 485 366C470 376 444 381 422 380C389 338 368 319 321 288C323 345 329 372 349 422C339 442 322 461 305 470C289 461 271 442 262 422C281 372 287 345 290 288C243 319 222 338 189 380C167 381 142 376 125 366C125 347 133 322 145 304C198 296 225 288 275 262C225 236 198 227 145 220C133 201 125 177 126 158C141 148 167 143 189 144C222 186 243 205 290 236C288 179 282 152 262 102C272 82 289 63 306 54C322 63 340 82 350 102C330 152 324 179 321 236C368 205 390 186 422 144C444 143 470 148 486 158Z"></path> </g> </svg>P，IR，平均值样本</T.d> </tr> <tr> <td></td> <td> (2) Calculate SCUMBLEIns in<一世>D.</一世>并设置SCUMBLE(<一世>D.</一世>）丑体（<一世>D.</一世>）<sub>1</sub></td> </tr> <tr> <td></td> <td> (3) For<svg height="11.927pt" id="M9" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 13.0854 11.927" width="13.0854pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.893,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> </svg>在<一世>D.</一世>那</T.d> </tr> <tr> <td></td> <td>(4)如果<span class="nowrap"> <svg height="12.5794pt" id="M10" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 183.549 12.5794" width="183.549pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,6.162,0)"> <path d="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.807,0)"> <path d="M716 650H478V622C549 617 570 605 575 566C579 535 582 493 582 401V326C582 161 537 40 393 40C269 40 205 133 205 294V521C205 611 213 617 291 622V650H33V622C111 615 120 611 120 521V272C120 154 148 80 208 34C252 0 309 -14 368 -14C434 -14 501 7 548 55C605 116 623 201 623 319V401C623 493 626 536 629 563C633 605 656 618 716 622V650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,24.179,0)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,35.762,0)"> <path d="M372 352C427 368 507 407 507 502C507 548 486 592 451 616C420 638 376 650 301 650H44V622C124 616 128 610 128 527V123C128 40 122 34 36 28V0H257C336 0 402 12 453 40C512 72 548 124 548 191C548 291 471 335 372 350V352ZM213 362V558C213 591 216 602 226 608C235 614 258 618 282 618C377 618 415 558 415 490C415 406 369 362 260 362H213ZM213 328H258C380 328 450 283 450 181C450 76 377 35 296 34C231 34 213 53 213 125V328Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,43.354,0)"> <path d="M495 163C480 117 462 85 444 65C421 39 387 34 332 34C290 34 256 36 236 47C218 57 213 77 213 131V526C213 612 222 616 301 622V650H40V622C122 616 128 611 128 526V126C128 41 120 34 36 28V0H489C498 31 519 126 525 157L495 163Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,50.348,0)"> <path d="M517 162C503 123 484 88 467 68C445 42 417 34 341 34C291 34 256 34 237 47C219 59 213 81 213 128V317H308C395 317 402 311 415 240H444V431H415C403 364 398 356 307 356H213V584C213 613 215 616 246 616H322C394 616 421 609 435 587C448 566 458 544 467 502L496 506C493 557 488 625 488 650H42V622C120 616 128 612 128 523V125C128 43 120 35 29 28V0H511C520 31 540 125 546 158L517 162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,57.732,0)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,61.956,0)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,68.963,0)"> <path d="M319 325C317 349 306 409 297 431C277 440 250 449 209 449C117 449 57 389 57 319C57 243 122 209 182 182C232 159 261 135 261 91C261 48 227 21 190 21C130 21 85 79 68 145L41 140C41 104 51 36 58 22C75 7 121 -12 172 -12C252 -12 337 35 337 126C337 195 286 231 210 262C166 281 126 304 126 348C126 388 152 417 191 417C240 417 274 378 294 318L319 325Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,74.012,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,78.51,0)"> <path d="M244 607C244 633 228 655 200 655C166 655 146 618 146 594C146 564 166 546 191 546C221 546 244 574 244 607ZM222 91L209 114C184 94 148 66 133 66C127 66 124 73 130 96L201 370C213 416 211 448 191 448C162 448 88 407 29 352L42 328C73 354 104 371 114 371C120 371 119 365 115 345L53 92C32 5 45 -12 68 -12C103 -12 186 50 222 91Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,82.06,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,90.19,0)"> <path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,101.452,0)"> <path d="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,107.614,0)"> <path d="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,116.259,0)"> <path d="M716 650H478V622C549 617 570 605 575 566C579 535 582 493 582 401V326C582 161 537 40 393 40C269 40 205 133 205 294V521C205 611 213 617 291 622V650H33V622C111 615 120 611 120 521V272C120 154 148 80 208 34C252 0 309 -14 368 -14C434 -14 501 7 548 55C605 116 623 201 623 319V401C623 493 626 536 629 563C633 605 656 618 716 622V650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,125.632,0)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,137.215,0)"> <path d="M372 352C427 368 507 407 507 502C507 548 486 592 451 616C420 638 376 650 301 650H44V622C124 616 128 610 128 527V123C128 40 122 34 36 28V0H257C336 0 402 12 453 40C512 72 548 124 548 191C548 291 471 335 372 350V352ZM213 362V558C213 591 216 602 226 608C235 614 258 618 282 618C377 618 415 558 415 490C415 406 369 362 260 362H213ZM213 328H258C380 328 450 283 450 181C450 76 377 35 296 34C231 34 213 53 213 125V328Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,144.807,0)"> <path d="M495 163C480 117 462 85 444 65C421 39 387 34 332 34C290 34 256 36 236 47C218 57 213 77 213 131V526C213 612 222 616 301 622V650H40V622C122 616 128 611 128 526V126C128 41 120 34 36 28V0H489C498 31 519 126 525 157L495 163Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,151.801,0)"> <path d="M517 162C503 123 484 88 467 68C445 42 417 34 341 34C291 34 256 34 237 47C219 59 213 81 213 128V317H308C395 317 402 311 415 240H444V431H415C403 364 398 356 307 356H213V584C213 613 215 616 246 616H322C394 616 421 609 435 587C448 566 458 544 467 502L496 506C493 557 488 625 488 650H42V622C120 616 128 612 128 523V125C128 43 120 35 29 28V0H511C520 31 540 125 546 158L517 162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,159.402,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,163.9,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,173.858,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,178.356,3.132)"> <path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z"></path> </g> </svg>那</span>然后</T.d> </tr> <tr> <td></td> <td>(5)克隆<svg height="16.9651pt" id="M11" style="vertical-align:-5.528999pt" version="1.1" viewbox="-0.0498162 -11.4361 262.79 16.9651" width="262.79pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.893,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,16.58,0)"> <path d="M567 230V280H69V230H567Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,22.356,0)"> <path d="M901 255C861 290 790 361 716 442L694 427L796 280H69V230H796L694 83L716 68C790 149 861 220 901 255Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,38.468,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,48.426,-5.741)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,48.361,3.784)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,52.221,0)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,57.364,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,64.549,-5.741)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,65.658,3.784)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,72.346,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,83.609,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,91.903,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,94.451,3.132)"> <path d="M297 -163V-131C189 -122 187 -119 187 -41V582C187 660 190 663 297 672V704H122V-163H297Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,97.709,3.132)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,100.812,3.132)"> <path d="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,106.496,3.132)"> <path d="M309 -142C211 -61 151 99 151 271S210 601 309 683L288 710C141 611 75 451 75 272V271C75 90 141 -72 288 -169L309 -142Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,109.754,3.132)"> <path d="M563 395C563 428 543 451 519 451C500 451 480 438 472 423C468 415 465 403 470 394C477 381 482 368 482 347C482 272 386 136 342 74H340C334 163 323 257 312 337C302 410 290 451 257 451C214 451 160 385 127 338L145 310C169 341 203 373 209 373C219 373 225 369 232 325C249 215 269 62 271 -15C220 -80 135 -165 18 -231L26 -257L142 -230C254 -105 279 -74 342 13C394 85 484 211 526 286C553 334 563 365 563 395Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,115.097,3.132)"> <path d="M283 271C283 451 220 610 70 710L48 683C146 603 207 443 207 271S149 -59 48 -142L70 -169C220 -67 283 90 283 271Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,118.355,3.132)"> <path d="M552 293V344L59 566V507L489 319L59 131V72L552 293ZM552 -41V12H59V-41H552Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,123.915,3.132)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,131.785,3.132)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,135.708,3.132)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,139.62,3.132)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,144.598,3.132)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,147.701,3.132)"> <path d="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,153.463,3.132)"> <path d="M237 -163V704H62V672C170 663 172 660 172 582V-40C172 -118 170 -122 62 -131V-163H237Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,157.317,0)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,162.46,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,170.754,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,177.442,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,188.704,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,196.998,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,199.547,3.132)"> <path d="M297 -163V-131C189 -122 187 -119 187 -41V582C187 660 190 663 297 672V704H122V-163H297Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,202.804,3.132)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,205.907,3.132)"> <path d="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,211.591,3.132)"> <path d="M309 -142C211 -61 151 99 151 271S210 601 309 683L288 710C141 611 75 451 75 272V271C75 90 141 -72 288 -169L309 -142Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,214.849,3.132)"> <path d="M563 395C563 428 543 451 519 451C500 451 480 438 472 423C468 415 465 403 470 394C477 381 482 368 482 347C482 272 386 136 342 74H340C334 163 323 257 312 337C302 410 290 451 257 451C214 451 160 385 127 338L145 310C169 341 203 373 209 373C219 373 225 369 232 325C249 215 269 62 271 -15C220 -80 135 -165 18 -231L26 -257L142 -230C254 -105 279 -74 342 13C394 85 484 211 526 286C553 334 563 365 563 395Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,220.192,3.132)"> <path d="M283 271C283 451 220 610 70 710L48 683C146 603 207 443 207 271S149 -59 48 -142L70 -169C220 -67 283 90 283 271Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,223.45,3.132)"> <path d="M552 72V131L122 319L552 507V566L59 344V293L552 72ZM552 -41V12H59V-41H552Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,229.01,3.132)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,236.881,3.132)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,240.803,3.132)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,244.716,3.132)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,249.693,3.132)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,252.796,3.132)"> <path d="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,258.559,3.132)"> <path d="M237 -163V704H62V672C170 663 172 660 172 582V-40C172 -118 170 -122 62 -131V-163H237Z"></path> </g> </svg>（<svg height="15.3797pt" id="M12" style="vertical-align:-3.9436pt" version="1.1" viewbox="-0.0498162 -11.4361 11.4804 15.3797" width="11.4804pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> </svg>是标签集<span class="nowrap"> <svg height="15.3797pt" id="M13" style="vertical-align:-3.9436pt" version="1.1" viewbox="-0.0498162 -11.4361 13.8905 15.3797" width="13.8905pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.958,-5.741)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.893,3.784)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> </svg>）</span></td> </tr> <tr> <td></td> <td> (6) <svg height="15.3797pt" id="M14" style="vertical-align:-3.9436pt" version="1.1" viewbox="-0.0498162 -11.4361 168.604 15.3797" width="168.604pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.893,3.132)"> <path d="M538 684C542 703 539 710 529 710C512 710 455 682 363 674L361 644H396C444 644 448 642 438 594L405 438C373 450 347 451 336 451C288 451 200 416 147 374C69 312 24 207 24 113C24 29 60 -12 94 -12C126 -12 156 4 196 30C231 53 296 100 346 166H348L328 81C311 10 325 -12 348 -12C380 -12 450 24 512 98L495 125C466 97 431 70 417 70C408 70 408 80 411 98L538 684ZM390 373L361 240C336 196 210 56 145 56C132 56 113 73 113 131C113 216 156 338 220 379C243 394 266 402 303 402C331 402 375 388 390 373Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,19.175,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,30.438,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,40.33,3.132)"> <path d="M538 684C542 703 539 710 529 710C512 710 455 682 363 674L361 644H396C444 644 448 642 438 594L405 438C373 450 347 451 336 451C288 451 200 416 147 374C69 312 24 207 24 113C24 29 60 -12 94 -12C126 -12 156 4 196 30C231 53 296 100 346 166H348L328 81C311 10 325 -12 348 -12C380 -12 450 24 512 98L495 125C466 97 431 70 417 70C408 70 408 80 411 98L538 684ZM390 373L361 240C336 196 210 56 145 56C132 56 113 73 113 131C113 216 156 338 220 379C243 394 266 402 303 402C331 402 375 388 390 373Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,48.886,0)"> <path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,59.422,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,69.315,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,75.276,0)"> <path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,85.813,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,95.771,-5.741)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,95.706,3.784)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,99.567,0)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,106.889,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,120.479,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,131.742,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,144.606,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,155.142,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,165.035,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> </svg>（<svg height="11.927pt" id="M15" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 15.6795 11.927" width="15.6795pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.893,3.132)"> <path d="M538 684C542 703 539 710 529 710C512 710 455 682 363 674L361 644H396C444 644 448 642 438 594L405 438C373 450 347 451 336 451C288 451 200 416 147 374C69 312 24 207 24 113C24 29 60 -12 94 -12C126 -12 156 4 196 30C231 53 296 100 346 166H348L328 81C311 10 325 -12 348 -12C380 -12 450 24 512 98L495 125C466 97 431 70 417 70C408 70 408 80 411 98L538 684ZM390 373L361 240C336 196 210 56 145 56C132 56 113 73 113 131C113 216 156 338 220 379C243 394 266 402 303 402C331 402 375 388 390 373Z"></path> </g> </svg>是解耦的数据集)</T.d> </tr> <tr> <td></td> <td>(7)<svg height="12.0653pt" id="M16" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -8.6359 15.4841 12.0653" width="15.4841pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,5.5,0)"> <path d="M594 629L561 652L159 -9L190 -32L594 629ZM194 635C92 635 49 534 49 453C49 374 92 272 193 272C295 272 338 374 338 454S295 635 194 635ZM193 605C257 605 265 504 265 453C265 405 257 302 194 302C133 302 122 403 122 454S133 605 193 605ZM567 351C465 351 421 250 421 169C421 90 465 -12 566 -12S710 90 710 170S667 351 567 351ZM566 322C628 322 637 221 637 169C637 121 628 18 567 18S494 119 494 170C494 223 506 322 566 322Z"></path> </g> </svg>样本<svg height="12.7178pt" id="M17" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 70.9758 12.7178" width="70.9758pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,4.498,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,13.63,0)"> <path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,24.126,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,28.624,0)"> <path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,34.864,0)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,40.007,0)"> <path d="M285 378C315 398 338 416 353 432C373 451 384 474 384 503C384 579 325 635 236 635H235C182 635 136 610 108 579L65 516L85 496C110 533 150 575 205 575C258 575 300 543 300 481C300 407 232 369 141 339L147 310C163 315 188 321 211 321C268 321 338 284 338 192C338 94 288 40 217 40C160 40 119 68 93 91C85 98 77 97 69 91C60 84 47 71 46 58C44 46 48 35 62 22C75 10 116 -12 162 -12C234 -12 424 62 424 224C424 297 373 359 285 376V378Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,48.426,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,53.57,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,58.713,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,61.71,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,66.208,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td> (8) Recalculate the SCUMBLE(<一世>D.</一世>）丑体（<一世>D.</一世>）<sub><i>j</一世></sub></td> </tr> <tr> <td></td> <td> (9) If SCUMBLE(<一世>D.</一世>）<sub><i>j</一世>-1</sub>渐淡(<一世>D.</一世>）<sub><i>j</一世></sub> < <一世>T.</一世>，然后停止去耦</T.d> </tr> <tr> <td></td> <td>(10)<一世>D.</一世> = <一世>D.</一世> + <svg height="11.927pt" id="M18" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 15.6795 11.927" width="15.6795pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.893,3.132)"> <path d="M538 684C542 703 539 710 529 710C512 710 455 682 363 674L361 644H396C444 644 448 642 438 594L405 438C373 450 347 451 336 451C288 451 200 416 147 374C69 312 24 207 24 113C24 29 60 -12 94 -12C126 -12 156 4 196 30C231 53 296 100 346 166H348L328 81C311 10 325 -12 348 -12C380 -12 450 24 512 98L495 125C466 97 431 70 417 70C408 70 408 80 411 98L538 684ZM390 373L361 240C336 196 210 56 145 56C132 56 113 73 113 131C113 216 156 338 220 379C243 394 266 402 303 402C331 402 375 388 390 373Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td>重新采样策略</T.d> </tr> <tr> <td></td> <td> (11) While samplesToResampling > 0</T.d> </tr> <tr> <td></td> <td> (12) random select<svg height="9.39034pt" id="M19" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.65486 9.39034" width="7.65486pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td> (13) if<svg height="12.7178pt" id="M20" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 290.447 12.7178" width="290.447pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.161,0)"> <path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,21.657,0)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,32.304,0)"> <path d="M135 536C164 536 186 560 186 587C186 617 164 639 136 639C109 639 85 617 85 587C85 560 109 536 135 536ZM252 0V26C188 32 181 38 181 106V451C138 433 90 420 39 412V388C99 379 102 374 102 312V106C102 38 95 32 32 26V0H252Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,35.788,0)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,45.158,0)"> <path d="M372 352C427 368 507 407 507 502C507 548 486 592 451 616C420 638 376 650 301 650H44V622C124 616 128 610 128 527V123C128 40 122 34 36 28V0H257C336 0 402 12 453 40C512 72 548 124 548 191C548 291 471 335 372 350V352ZM213 362V558C213 591 216 602 226 608C235 614 258 618 282 618C377 618 415 558 415 490C415 406 369 362 260 362H213ZM213 328H258C380 328 450 283 450 181C450 76 377 35 296 34C231 34 213 53 213 125V328Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,52.919,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,58.561,0)"> <path d="M463 437C426 431 375 425 327 422C297 440 264 449 231 449H230C153 449 51 396 51 283C51 215 94 168 139 149C123 129 91 103 51 88C50 78 53 60 62 46C75 25 100 2 136 -9C112 -28 73 -59 53 -79C38 -94 29 -113 29 -135C30 -192 91 -257 203 -257C336 -257 452 -160 452 -59C452 39 371 59 309 59C275 59 240 58 203 58C158 58 140 77 140 96C140 110 157 129 170 138C186 135 205 133 221 133C306 133 396 185 396 293C396 328 384 360 366 381L423 378C439 387 459 413 468 429L463 437ZM219 418C277 418 314 362 314 284C314 205 275 166 231 165C176 165 137 221 137 299C137 376 177 418 219 418ZM241 -11C285 -11 314 -14 339 -24C367 -36 384 -61 384 -95C384 -157 335 -206 240 -206C166 -206 108 -165 108 -110C108 -82 128 -54 154 -32C172 -17 195 -11 241 -11Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,64.645,0)"> <path d="M717 427H488V399C559 390 569 378 549 331C530 287 513 253 489 216C425 282 354 343 321 371C360 397 383 416 402 432C423 450 444 479 444 520C444 600 377 658 296 658C208 658 132 590 132 500C132 446 159 403 204 361C119 300 54 260 54 167C54 80 125 -14 251 -14C323 -14 389 22 461 118C494 84 536 37 548 23C560 10 615 -13 670 -18L677 -9C647 49 556 150 514 191C549 244 573 285 601 324C634 373 647 391 717 399V427ZM285 624C335 624 369 576 369 519C369 465 342 426 295 391C235 437 204 472 204 524C204 584 239 624 285 624ZM278 54C212 54 139 100 139 196C139 245 164 292 230 339C321 265 385 204 438 145C405 99 345 54 278 54Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,73.966,0)"> <path d="M717 427H488V399C559 390 569 378 549 331C530 287 513 253 489 216C425 282 354 343 321 371C360 397 383 416 402 432C423 450 444 479 444 520C444 600 377 658 296 658C208 658 132 590 132 500C132 446 159 403 204 361C119 300 54 260 54 167C54 80 125 -14 251 -14C323 -14 389 22 461 118C494 84 536 37 548 23C560 10 615 -13 670 -18L677 -9C647 49 556 150 514 191C549 244 573 285 601 324C634 373 647 391 717 399V427ZM285 624C335 624 369 576 369 519C369 465 342 426 295 391C235 437 204 472 204 524C204 584 239 624 285 624ZM278 54C212 54 139 100 139 196C139 245 164 292 230 339C321 265 385 204 438 145C405 99 345 54 278 54Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,83.43,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,86.849,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,94.378,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,101.429,0)"> <path d="M512 -3V55L134 254V256L512 456V514L75 281V230L512 -3Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,112.692,0)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,123.935,0)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,129.539,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,135.128,0)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,142.239,0)"> <path d="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,148.401,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,153.991,0)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,164.39,0)"> <path d="M169 380V459C122 440 66 423 24 416V392C86 384 90 382 90 317V-135C90 -201 81 -207 17 -213V-240H253V-213C176 -207 169 -201 169 -125V6C182 -1 208 -11 238 -12C368 12 487 109 487 260C487 358 421 449 310 449C298 449 279 444 261 433L169 380ZM169 346C196 367 237 389 269 389C341 389 403 329 403 221C403 109 347 37 263 37C228 37 191 53 169 76V346Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,171.111,0)"> <path d="M238 0V26C174 32 166 38 166 104V712C132 700 70 683 18 677V653C81 647 87 645 87 577V104C87 38 78 32 15 26V0H238Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,174.4,0)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,179.925,0)"> <path d="M319 325C317 349 306 409 297 431C277 440 250 449 209 449C117 449 57 389 57 319C57 243 122 209 182 182C232 159 261 135 261 91C261 48 227 21 190 21C130 21 85 79 68 145L41 140C41 104 51 36 58 22C75 7 121 -12 172 -12C252 -12 337 35 337 126C337 195 286 231 210 262C166 281 126 304 126 348C126 388 152 417 191 417C240 417 274 378 294 318L319 325Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,184.969,0)"> <path d="M717 427H488V399C559 390 569 378 549 331C530 287 513 253 489 216C425 282 354 343 321 371C360 397 383 416 402 432C423 450 444 479 444 520C444 600 377 658 296 658C208 658 132 590 132 500C132 446 159 403 204 361C119 300 54 260 54 167C54 80 125 -14 251 -14C323 -14 389 22 461 118C494 84 536 37 548 23C560 10 615 -13 670 -18L677 -9C647 49 556 150 514 191C549 244 573 285 601 324C634 373 647 391 717 399V427ZM285 624C335 624 369 576 369 519C369 465 342 426 295 391C235 437 204 472 204 524C204 584 239 624 285 624ZM278 54C212 54 139 100 139 196C139 245 164 292 230 339C321 265 385 204 438 145C405 99 345 54 278 54Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,194.29,0)"> <path d="M717 427H488V399C559 390 569 378 549 331C530 287 513 253 489 216C425 282 354 343 321 371C360 397 383 416 402 432C423 450 444 479 444 520C444 600 377 658 296 658C208 658 132 590 132 500C132 446 159 403 204 361C119 300 54 260 54 167C54 80 125 -14 251 -14C323 -14 389 22 461 118C494 84 536 37 548 23C560 10 615 -13 670 -18L677 -9C647 49 556 150 514 191C549 244 573 285 601 324C634 373 647 391 717 399V427ZM285 624C335 624 369 576 369 519C369 465 342 426 295 391C235 437 204 472 204 524C204 584 239 624 285 624ZM278 54C212 54 139 100 139 196C139 245 164 292 230 339C321 265 385 204 438 145C405 99 345 54 278 54Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,203.611,0)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,208.044,0)"> <path d="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,216.295,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,220.793,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,228.322,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,236.452,0)"> <path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,247.714,0)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,258.958,0)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,264.561,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,270.151,0)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,277.262,0)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,281.695,0)"> <path d="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z"></path> </g> </svg>然后</T.d> </tr> <tr> <td></td> <td>(14)<svg height="12.7373pt" id="M21" style="vertical-align:-3.429399pt" version="1.1" viewbox="-0.0498162 -9.3079 184.543 12.7373" width="184.543pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.899,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,22.162,0)"> <path d="M181 342V451C133 431 89 419 40 411V388C98 381 102 377 102 311V104C102 38 95 32 33 26V0H263V26C186 32 181 38 181 104V287C203 343 235 372 261 372C277 372 289 366 304 352C310 346 318 345 330 350C349 359 362 379 362 399C362 422 338 449 304 449C256 449 213 393 183 342H181Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,26.985,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,32.574,0)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,39.633,0)"> <path d="M517 51L485 54C448 58 441 63 441 115V712C404 700 337 684 285 678V653C357 648 362 645 362 580V437C339 446 309 449 295 449C159 449 38 340 38 201C38 61 143 -12 223 -12C234 -12 261 -6 301 17L362 53V-12C420 9 495 22 517 26V51ZM362 85C338 67 301 51 266 51C201 51 128 109 128 228C128 373 212 411 259 411C296 411 338 395 362 360V85Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,46.497,0)"> <path d="M257 449C165 449 37 374 37 209C37 98 119 -12 256 -12C355 -12 473 65 473 226C473 349 381 449 257 449ZM244 416C333 416 380 320 380 204C380 67 329 21 267 21C184 21 130 115 130 241C130 354 184 416 244 416Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,52.971,0)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,63.774,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,68.272,0)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,74.512,0)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,79.656,0)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,90.899,0)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,96.503,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,102.092,0)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,109.203,0)"> <path d="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,115.365,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,120.955,0)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,131.354,0)"> <path d="M169 380V459C122 440 66 423 24 416V392C86 384 90 382 90 317V-135C90 -201 81 -207 17 -213V-240H253V-213C176 -207 169 -201 169 -125V6C182 -1 208 -11 238 -12C368 12 487 109 487 260C487 358 421 449 310 449C298 449 279 444 261 433L169 380ZM169 346C196 367 237 389 269 389C341 389 403 329 403 221C403 109 347 37 263 37C228 37 191 53 169 76V346Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,138.074,0)"> <path d="M238 0V26C174 32 166 38 166 104V712C132 700 70 683 18 677V653C81 647 87 645 87 577V104C87 38 78 32 15 26V0H238Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,141.363,0)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,146.888,0)"> <path d="M319 325C317 349 306 409 297 431C277 440 250 449 209 449C117 449 57 389 57 319C57 243 122 209 182 182C232 159 261 135 261 91C261 48 227 21 190 21C130 21 85 79 68 145L41 140C41 104 51 36 58 22C75 7 121 -12 172 -12C252 -12 337 35 337 126C337 195 286 231 210 262C166 281 126 304 126 348C126 388 152 417 191 417C240 417 274 378 294 318L319 325Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,154.838,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,165.374,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,168.793,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,176.323,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,179.742,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td> (15) While<svg height="8.98582pt" id="M22" style="vertical-align:-0.6370001pt" version="1.1" viewbox="-0.0498162 -8.34882 28.5806 8.98582" width="28.5806pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.899,0)"> <path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,22.162,0)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td> (16) random get<一世>m</一世>样本<svg height="9.39034pt" id="M23" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.65486 9.39034" width="7.65486pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td> (17) let the max Min-SCUMBLEIns sample of samples as<一世>Z.</一世>,克隆<一世>Z.</一世></td> </tr> <tr> <td></td> <td> (18) <一世>D.</一世> = <一世>D.</一世> + <一世>Z.</一世>那<span class="nowrap"> <svg height="7.35473pt" id="M24" style="vertical-align:-0.3499303pt" version="1.1" viewbox="-0.0498162 -7.0048 28.5241 7.35473" width="28.5241pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.173,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,20.709,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> </svg>那</span>samplesToResampling<svg height="7.35473pt" id="M25" style="vertical-align:-0.3499303pt" version="1.1" viewbox="-0.0498162 -7.0048 17.598 7.35473" width="17.598pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,2.179,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.81,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td>(19)<svg height="12.7178pt" id="M26" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 286.415 12.7178" width="286.415pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.161,0)"> <path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,21.657,0)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,32.265,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,37.724,0)"> <path d="M135 536C163 536 185 560 185 587C185 617 163 639 136 639C108 639 85 617 85 587C85 560 108 536 135 536ZM34 389C96 380 101 376 101 308V113C101 22 99 -37 93 -80C87 -114 80 -137 68 -152C54 -170 28 -182 -5 -190C-19 -193 -26 -200 -26 -213C-26 -237 -3 -257 10 -257C18 -257 26 -253 36 -246C59 -226 122 -150 157 -50C176 3 180 46 180 111V451C137 433 86 420 34 412V389Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,41.052,0)"> <path d="M372 352C427 368 507 407 507 502C507 548 486 592 451 616C420 638 376 650 301 650H44V622C124 616 128 610 128 527V123C128 40 122 34 36 28V0H257C336 0 402 12 453 40C512 72 548 124 548 191C548 291 471 335 372 350V352ZM213 362V558C213 591 216 602 226 608C235 614 258 618 282 618C377 618 415 558 415 490C415 406 369 362 260 362H213ZM213 328H258C380 328 450 283 450 181C450 76 377 35 296 34C231 34 213 53 213 125V328Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,48.813,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,54.455,0)"> <path d="M463 437C426 431 375 425 327 422C297 440 264 449 231 449H230C153 449 51 396 51 283C51 215 94 168 139 149C123 129 91 103 51 88C50 78 53 60 62 46C75 25 100 2 136 -9C112 -28 73 -59 53 -79C38 -94 29 -113 29 -135C30 -192 91 -257 203 -257C336 -257 452 -160 452 -59C452 39 371 59 309 59C275 59 240 58 203 58C158 58 140 77 140 96C140 110 157 129 170 138C186 135 205 133 221 133C306 133 396 185 396 293C396 328 384 360 366 381L423 378C439 387 459 413 468 429L463 437ZM219 418C277 418 314 362 314 284C314 205 275 166 231 165C176 165 137 221 137 299C137 376 177 418 219 418ZM241 -11C285 -11 314 -14 339 -24C367 -36 384 -61 384 -95C384 -157 335 -206 240 -206C166 -206 108 -165 108 -110C108 -82 128 -54 154 -32C172 -17 195 -11 241 -11Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,60.539,0)"> <path d="M717 427H488V399C559 390 569 378 549 331C530 287 513 253 489 216C425 282 354 343 321 371C360 397 383 416 402 432C423 450 444 479 444 520C444 600 377 658 296 658C208 658 132 590 132 500C132 446 159 403 204 361C119 300 54 260 54 167C54 80 125 -14 251 -14C323 -14 389 22 461 118C494 84 536 37 548 23C560 10 615 -13 670 -18L677 -9C647 49 556 150 514 191C549 244 573 285 601 324C634 373 647 391 717 399V427ZM285 624C335 624 369 576 369 519C369 465 342 426 295 391C235 437 204 472 204 524C204 584 239 624 285 624ZM278 54C212 54 139 100 139 196C139 245 164 292 230 339C321 265 385 204 438 145C405 99 345 54 278 54Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,69.86,0)"> <path d="M717 427H488V399C559 390 569 378 549 331C530 287 513 253 489 216C425 282 354 343 321 371C360 397 383 416 402 432C423 450 444 479 444 520C444 600 377 658 296 658C208 658 132 590 132 500C132 446 159 403 204 361C119 300 54 260 54 167C54 80 125 -14 251 -14C323 -14 389 22 461 118C494 84 536 37 548 23C560 10 615 -13 670 -18L677 -9C647 49 556 150 514 191C549 244 573 285 601 324C634 373 647 391 717 399V427ZM285 624C335 624 369 576 369 519C369 465 342 426 295 391C235 437 204 472 204 524C204 584 239 624 285 624ZM278 54C212 54 139 100 139 196C139 245 164 292 230 339C321 265 385 204 438 145C405 99 345 54 278 54Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,79.398,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,82.817,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,90.346,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,97.397,0)"> <path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,108.66,0)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,119.903,0)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,125.507,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,131.096,0)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,138.207,0)"> <path d="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,144.369,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,149.959,0)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,160.358,0)"> <path d="M169 380V459C122 440 66 423 24 416V392C86 384 90 382 90 317V-135C90 -201 81 -207 17 -213V-240H253V-213C176 -207 169 -201 169 -125V6C182 -1 208 -11 238 -12C368 12 487 109 487 260C487 358 421 449 310 449C298 449 279 444 261 433L169 380ZM169 346C196 367 237 389 269 389C341 389 403 329 403 221C403 109 347 37 263 37C228 37 191 53 169 76V346Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,167.078,0)"> <path d="M238 0V26C174 32 166 38 166 104V712C132 700 70 683 18 677V653C81 647 87 645 87 577V104C87 38 78 32 15 26V0H238Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,170.367,0)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,175.892,0)"> <path d="M319 325C317 349 306 409 297 431C277 440 250 449 209 449C117 449 57 389 57 319C57 243 122 209 182 182C232 159 261 135 261 91C261 48 227 21 190 21C130 21 85 79 68 145L41 140C41 104 51 36 58 22C75 7 121 -12 172 -12C252 -12 337 35 337 126C337 195 286 231 210 262C166 281 126 304 126 348C126 388 152 417 191 417C240 417 274 378 294 318L319 325Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,180.936,0)"> <path d="M717 427H488V399C559 390 569 378 549 331C530 287 513 253 489 216C425 282 354 343 321 371C360 397 383 416 402 432C423 450 444 479 444 520C444 600 377 658 296 658C208 658 132 590 132 500C132 446 159 403 204 361C119 300 54 260 54 167C54 80 125 -14 251 -14C323 -14 389 22 461 118C494 84 536 37 548 23C560 10 615 -13 670 -18L677 -9C647 49 556 150 514 191C549 244 573 285 601 324C634 373 647 391 717 399V427ZM285 624C335 624 369 576 369 519C369 465 342 426 295 391C235 437 204 472 204 524C204 584 239 624 285 624ZM278 54C212 54 139 100 139 196C139 245 164 292 230 339C321 265 385 204 438 145C405 99 345 54 278 54Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,190.258,0)"> <path d="M717 427H488V399C559 390 569 378 549 331C530 287 513 253 489 216C425 282 354 343 321 371C360 397 383 416 402 432C423 450 444 479 444 520C444 600 377 658 296 658C208 658 132 590 132 500C132 446 159 403 204 361C119 300 54 260 54 167C54 80 125 -14 251 -14C323 -14 389 22 461 118C494 84 536 37 548 23C560 10 615 -13 670 -18L677 -9C647 49 556 150 514 191C549 244 573 285 601 324C634 373 647 391 717 399V427ZM285 624C335 624 369 576 369 519C369 465 342 426 295 391C235 437 204 472 204 524C204 584 239 624 285 624ZM278 54C212 54 139 100 139 196C139 245 164 292 230 339C321 265 385 204 438 145C405 99 345 54 278 54Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,199.579,0)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,204.012,0)"> <path d="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,212.262,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,216.76,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,224.29,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,232.42,0)"> <path d="M512 -3V55L134 254V256L512 456V514L75 281V230L512 -3Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,243.682,0)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,254.926,0)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,260.529,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,266.119,0)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,273.23,0)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,277.663,0)"> <path d="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z"></path> </g> </svg>然后</T.d> </tr> <tr> <td></td> <td> (20) <svg height="12.7373pt" id="M27" style="vertical-align:-3.429399pt" version="1.1" viewbox="-0.0498162 -9.3079 184.543 12.7373" width="184.543pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.899,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,22.162,0)"> <path d="M181 342V451C133 431 89 419 40 411V388C98 381 102 377 102 311V104C102 38 95 32 33 26V0H263V26C186 32 181 38 181 104V287C203 343 235 372 261 372C277 372 289 366 304 352C310 346 318 345 330 350C349 359 362 379 362 399C362 422 338 449 304 449C256 449 213 393 183 342H181Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,26.985,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,32.574,0)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,39.633,0)"> <path d="M517 51L485 54C448 58 441 63 441 115V712C404 700 337 684 285 678V653C357 648 362 645 362 580V437C339 446 309 449 295 449C159 449 38 340 38 201C38 61 143 -12 223 -12C234 -12 261 -6 301 17L362 53V-12C420 9 495 22 517 26V51ZM362 85C338 67 301 51 266 51C201 51 128 109 128 228C128 373 212 411 259 411C296 411 338 395 362 360V85Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,46.497,0)"> <path d="M257 449C165 449 37 374 37 209C37 98 119 -12 256 -12C355 -12 473 65 473 226C473 349 381 449 257 449ZM244 416C333 416 380 320 380 204C380 67 329 21 267 21C184 21 130 115 130 241C130 354 184 416 244 416Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,52.971,0)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,63.774,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,68.272,0)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,74.512,0)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,79.656,0)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,90.899,0)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,96.503,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,102.092,0)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,109.203,0)"> <path d="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,115.365,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,120.955,0)"> <path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,131.354,0)"> <path d="M169 380V459C122 440 66 423 24 416V392C86 384 90 382 90 317V-135C90 -201 81 -207 17 -213V-240H253V-213C176 -207 169 -201 169 -125V6C182 -1 208 -11 238 -12C368 12 487 109 487 260C487 358 421 449 310 449C298 449 279 444 261 433L169 380ZM169 346C196 367 237 389 269 389C341 389 403 329 403 221C403 109 347 37 263 37C228 37 191 53 169 76V346Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,138.074,0)"> <path d="M238 0V26C174 32 166 38 166 104V712C132 700 70 683 18 677V653C81 647 87 645 87 577V104C87 38 78 32 15 26V0H238Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,141.363,0)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,146.888,0)"> <path d="M319 325C317 349 306 409 297 431C277 440 250 449 209 449C117 449 57 389 57 319C57 243 122 209 182 182C232 159 261 135 261 91C261 48 227 21 190 21C130 21 85 79 68 145L41 140C41 104 51 36 58 22C75 7 121 -12 172 -12C252 -12 337 35 337 126C337 195 286 231 210 262C166 281 126 304 126 348C126 388 152 417 191 417C240 417 274 378 294 318L319 325Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,154.838,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,165.374,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,168.793,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,176.323,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,179.742,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td> (21) While<svg height="8.98582pt" id="M28" style="vertical-align:-0.6370001pt" version="1.1" viewbox="-0.0498162 -8.34882 28.5806 8.98582" width="28.5806pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.899,0)"> <path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,22.162,0)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td> (22) random get m samples from<svg height="9.39034pt" id="M29" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.65486 9.39034" width="7.65486pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td>(23)设m个样本的max Min-SCUMBLEIns样本为<一世>Z.</一世>，放<svg height="9.39034pt" id="M30" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.65486 9.39034" width="7.65486pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path> </g> </svg>的<一世>Z.</一世>为0</T.d> </tr> <tr> <td></td> <td> (24) <span class="nowrap"> <svg height="7.35473pt" id="M31" style="vertical-align:-0.3499303pt" version="1.1" viewbox="-0.0498162 -7.0048 28.5241 7.35473" width="28.5241pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.173,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,20.709,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> </svg>那</span>samplesToResampling<svg height="7.35473pt" id="M32" style="vertical-align:-0.3499303pt" version="1.1" viewbox="-0.0498162 -7.0048 17.598 7.35473" width="17.598pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,2.179,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.81,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td> (25) Recalculate MeanIR, if<svg height="10.108pt" id="M33" style="vertical-align:-1.58302pt" version="1.1" viewbox="-0.0498162 -8.52498 75.7126 10.108" width="75.7126pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.244,0)"> <path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 37 201C37 88 109 -12 232 -12C263 -12 332 6 395 84L380 106ZM225 412C281 412 315 364 314 312C314 297 308 292 290 292C232 290 176 289 120 289C135 370 180 412 225 412Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,16.847,0)"> <path d="M433 39L423 65C413 59 399 54 387 54C370 54 352 69 352 114V299C352 352 342 392 307 422C285 440 255 449 225 449C168 437 102 399 75 379C56 365 44 353 44 339C44 315 69 296 87 296C101 296 111 303 116 319C124 349 133 371 145 385C156 397 171 404 190 404C241 404 275 364 275 291V274C253 256 180 229 120 209C65 190 39 159 39 110C39 47 88 -12 159 -12C189 -12 237 25 277 52C282 35 288 21 301 8C312 -3 333 -12 348 -12L433 39ZM275 84C256 65 221 48 195 48C164 48 124 73 124 124C124 161 146 180 185 198C206 208 254 229 275 240V84Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,22.437,0)"> <path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 378 102 374 102 310V104C102 38 97 33 29 26V0H246V26C187 32 181 36 181 104V339C211 365 250 390 290 390C357 390 381 345 381 276V109C381 40 374 32 315 26V0H524Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,29.548,0)"> <path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,33.981,0)"> <path d="M631 18C609 24 585 35 559 65C534 91 514 117 478 169C448 214 406 281 389 313C462 346 516 399 516 485C516 545 490 590 449 616C412 641 363 650 290 650H42V622C120 615 128 612 128 527V125C128 40 120 34 38 28V0H300V28C221 34 212 40 212 125V284H244C295 284 312 272 329 244C359 195 395 133 430 84C475 19 516 -3 592 -7C603 -8 615 -8 627 -8L631 18ZM212 316V563C212 591 215 602 223 607C231 613 248 617 277 617C352 617 423 577 423 469C423 415 407 375 368 345C343 324 310 316 260 316H212Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,45.844,0)"> <path d="M531 71V127L115 310L531 494V550L57 335V285L531 71ZM531 -40V10H57V-40H531Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,57.107,0)"> <path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,63.347,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,66.322,0)"> <path d="M153 550H386L412 615L406 623H120L82 318C104 327 142 338 184 338C294 338 347 275 347 187C347 112 305 39 221 39C160 39 119 71 97 89C88 97 80 96 71 90C59 80 50 67 49 57C48 45 52 36 66 23C80 9 123 -12 169 -12C221 -11 288 15 342 59C403 109 431 165 431 225C431 308 366 395 238 395C212 395 165 379 127 364L153 550Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,72.563,0)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path> </g> </svg>然后停止算法</T.d> </tr> <tr> <td></td> <td>(26)返回<一世>D.</一世></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">算法1</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/sp/2020/alg1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> ML-DBR的伪代码。</div> </div> </div> <p>对每个标签计算IR和MeanIR，确定标签属于哪个类别。重采样率<svg height="8.68572pt" id="M34" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.15071 8.68572" width="8.15071pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z" id="g113-81"></path> </g> </svg>代表数据集的增加或减少的比例。在ML-ROS和ML-RU中，它导致数据集膨胀或缩小比例<span class="nowrap"> <svg height="8.68572pt" id="M35" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.15071 8.68572" width="8.15071pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> </svg>．</span>在ml-dbr中，<svg height="8.68572pt" id="M36" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.15071 8.68572" width="8.15071pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> </svg>不是数据集增加或减少的比例，而是计算需要调整的实例数。接下来，我们介绍ML-DBR中使用的策略。</p> <h6 id="sec3.6.1">3.6.1。去耦策略</h6> <p>ml-dbr计算数据集中每个实例的剥离值，设置初始括号（<一世>D.</一世>）DataSet款式（<一世>D.</一世>）<sub>1</sub>，并根据衬垫讨论要求的实例解耦（<一世>D.</一世>）<sub>1</sub>，以减少具有高度并发标签的实例。如果剥离（<一世>一世</一世>) >渐淡(<一世>D.</一世>）<sub>1</sub>，克隆实例<一世>D.</一世><sub><i>一世</一世></sub>作为<span class="nowrap"> <svg height="15.3797pt" id="M37" style="vertical-align:-3.9436pt" version="1.1" viewbox="-0.0498162 -11.4361 13.8905 15.3797" width="13.8905pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.958,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.893,3.784)"> <use xlink:href="#g50-106"></use> </g> </svg>那</span><i>L.</一世><sub><i>一世</一世></sub>是标签集<一世>D.</一世><sub><i>一世</一世></sub>那<svg height="15.3797pt" id="M38" style="vertical-align:-3.9436pt" version="1.1" viewbox="-0.0498162 -11.4361 11.4804 15.3797" width="11.4804pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <use xlink:href="#g50-106"></use> </g> </svg>是标签集<span class="nowrap"> <svg height="15.3797pt" id="M39" style="vertical-align:-3.9436pt" version="1.1" viewbox="-0.0498162 -11.4361 13.8905 15.3797" width="13.8905pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.958,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,9.893,3.784)"> <use xlink:href="#g50-106"></use> </g> </svg>那</span> <svg height="15.3797pt" id="M40" style="vertical-align:-3.9436pt" version="1.1" viewbox="-0.0498162 -11.4361 11.4804 15.3797" width="11.4804pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <use xlink:href="#g50-31"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <use xlink:href="#g50-106"></use> </g> </svg> = <一世>L.</一世><sub><i>一世</一世>[IR（<一世>y</一世>)≥MeanIR]</sub>那<一世>L.</一世><sub><i>一世</一世></sub> =<一世>L.</一世><sub><i>一世</一世></sub><sub>[IR（<一世>y</一世>）≤meanir]</sub>．然后，当数据集中的每1％的实例进行分离时，缝隙（<一世>D.</一世>）重新计算未耦合的数据集。嘲笑时（<一世>D.</一世>）<sub><i>j</一世>-1</sub>- 丑闻（<一世>D.</一世>）<sub><i>j</一世></sub> ≥ <一世>T.</一世>，认为数据集的高并发性已经解决，在其中<一世>j</一世>意味着去耦<一世>j</一世>％实例，和<一世>j</一世>−1表示解耦到(<一世>j</一世> − 1) % instances. If SCUMBLE(<一世>D.</一世>）<sub><i>j</一世>-1</sub>−渐淡(<一世>D.</一世>）<sub><i>j</一世></sub> <<一世>T.</一世>，继续解耦剥离>剥落的情况（<一世>D.</一世>）<sub>1</sub>．</p> <p>通过解耦，可以将具有高并发标签的实例从少数标签和多数标签中分离出来，按照步骤4找到高并发标签。从步骤4到步骤6，实例被解耦为两个实例。尽管解耦实例的特征相同，但标签集是不同的。</p> <h6 id="sec3.6.2">操作。重采样策略</h6> <p>首先，这个策略随机选择<一世>m</一世>某个标签的实例<一世>y</一世>．mean sample用于限制样本数量，可以平衡样本之间的分布，在重采样时不超过或低于达到平衡所需的样本数量。接下来，生成一个随机的<一世>X</一世>随机挑选<一世>m</一世>实例<一世>y</一世>．Min-Scommuthtins指标用于重新采样随机选择的实例，并比较最小剥落<一世>m</一世>实例选择对少数标签影响较小的实例进行重采样。如果<一世>y</一世>属于minBags,<一世>X</一世>=随机(0,MeanSamples−|<一世>y</一世>|），并克隆较低的碎片。如果<一世>y</一世>属于Majbags，<一世>X</一世> = Random (0, |<一世>y</一世>| − MeanSamples), and set the label<一世>y</一世>较低的Min-Scrumble到0的实例。</p> <p>在每次重采样结束时，重新计算MeanIR和IR, MeanSamples只记录初始值，在重采样过程中不重新计算，这样不会对数据集的原始分布造成太大影响。研究发现，当MeanIR≤1.5时，对数据集进行重采样对分类器性能的改善有限[<a href="#B25">25.</a>，当MeanIR≤1.5时，ML-DBR停止。</p> <h4 id="results-and-discussion">4.结果与讨论</h4> <h5 id="sec4.1">4.1。评估指标</h5> <p>一般多标签分类器的性能可以以各种方式测量，可以分为多种类型：基于示例的基于标签和基于排名的。为了更好地评估不同方法的性能，我们使用基于标签的评估方法。这种方法可以更好地反映大多数标签和少数民族标签的正确分类。基于标签的评价方法有两种类型：大分子水煮和微量。准确性，宏观 -<一世>F</一世>和微量的<一世>F</一世>被选为评估指标[<a href="#B30">30.</a>]为了获得综合评价。对于标签，TP表示真正的阳性，TN代表否定，FP表示误报，FN表示假否定。</p> <p>无论实例是正面还是负的，准确性是正确预测的实例的数量与预测实例总数的比率。准确性计算如下：<span class="equation_break" id="EEq7"><span class="left_break" id="L41"></span><span class="middle_break"><span class="center_break" id="M41"> <svg height="26.8365pt" id="M41-1" version="1.1" viewbox="0 0 170.724 26.8365" width="170.724pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B41-1"> <g transform="matrix(.013,0,0,-0.013,0,17.261)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,5.71,17.261)"> <path d="M390 111C344 68 312 56 269 56C212 56 118 102 118 241C118 346 175 401 241 401C277 401 312 388 342 360C350 352 355 349 361 349C372 349 394 371 394 392C394 403 391 411 378 422C362 436 329 449 288 449H287C250 449 190 432 138 392C71 341 37 274 37 197C37 90 112 -12 238 -12C297 -12 363 32 407 90L390 111Z" id="g190-100"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.2,17.261)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.79,17.261)"> <path d="M518 50L491 51C452 54 444 60 444 110V444C429 441 405 437 377 434C348 430 314 427 287 426V403L323 397C356 392 365 386 365 333V99C331 66 293 51 257 51C212 51 169 75 169 164V299C169 366 169 413 172 444C156 441 128 437 101 433C75 430 50 427 29 426V403L57 397C82 391 90 386 90 333V137C90 29 147 -12 214 -12C241 -12 262 -4 291 13S342 48 365 65V-6L371 -12C390 -7 415 1 441 8C468 15 496 21 518 24V50Z" id="g190-118"></path> </g> <g transform="matrix(.013,0,0,-0.013,23.7,17.261)"> <path d="M181 342V451C133 431 89 419 40 411V388C98 381 102 377 102 311V104C102 38 95 32 33 26V0H263V26C186 32 181 38 181 104V287C203 343 235 372 261 372C277 372 289 366 304 352C310 346 318 345 330 350C349 359 362 379 362 399C362 422 338 449 304 449C256 449 213 393 183 342H181Z" id="g190-115"></path> </g> <g transform="matrix(.013,0,0,-0.013,28.52,17.261)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.23,17.261)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.94,17.261)"> <path d="M478 437H297V411C355 404 361 392 349 355C329 292 285 174 257 106L167 356C153 394 158 404 205 411L204 437H2V411C57 404 66 391 88 336C117 265 162 144 202 30C208 13 209 0 204 -15C199 -28 191 -49 173 -84C149 -128 130 -153 98 -172C81 -184 73 -193 73 -209C73 -233 101 -257 129 -257C143 -257 156 -252 161 -232C175 -179 197 -122 264 38C333 203 364 286 390 339C417 395 425 403 478 411V437Z" id="g190-122"></path> </g> <g transform="matrix(.013,0,0,-0.013,49.71,17.261)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,91.06,8.753)"> <path d="M592 498C586 556 582 629 581 675H560C545 656 537 650 510 650H115C87 650 74 652 60 675H40C38 620 33 555 28 495H57C69 539 77 568 89 585C102 607 122 616 205 616H267V123C267 44 259 34 168 28V0H454V28C360 34 352 44 352 123V616H422C498 616 514 608 531 584C542 568 552 543 562 495L592 498Z" id="g190-85"></path> </g> <g transform="matrix(.013,0,0,-0.013,99.08,8.753)"> <path d="M46 650V622C120 617 128 613 128 525V125C128 42 120 34 40 28V0H311V28C221 34 212 39 212 124V281L286 262C297 261 316 261 331 263C429 275 526 338 526 468C526 533 501 579 462 609C422 638 364 650 293 650H46ZM212 559C212 588 215 600 223 606C230 613 251 618 279 618C361 618 430 572 430 464C430 337 350 302 285 302C252 302 225 309 212 314V559Z" id="g190-81"></path> </g> <g transform="matrix(.013,0,0,-0.013,109.36,8.753)"> <path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z" id="g117-36"></path> </g> <g transform="matrix(.013,0,0,-0.013,119.9,8.753)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,127.92,8.753)"> <path d="M719 650H483V622C553 619 576 606 581 560C585 532 588 487 588 394V148H585L167 650H20V622C67 618 88 610 109 585C127 562 129 557 129 484V264C129 173 126 124 123 93C118 44 92 31 35 28V0H272V28C204 32 181 44 176 95C173 124 170 172 170 264V515H172L598 -9H629V394C629 487 631 532 635 563C639 606 663 619 719 622V650Z" id="g190-79"></path> </g> <rect height="0.65243" width="104.403" x="62.16" y="13.608"></rect> <g transform="matrix(.013,0,0,-0.013,62.16,26.487)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,70.18,26.487)"> <use xlink:href="#g190-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.47,26.487)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,91,26.487)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,99.02,26.487)"> <use xlink:href="#g190-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,111.66,26.487)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,122.19,26.487)"> <path d="M493 503C489 551 484 614 483 650H43V622C120 616 128 611 128 525V126C128 40 120 34 40 28V0H312V28C221 34 213 40 213 126V307H316C407 307 412 296 424 227H453V420H424C412 355 407 346 316 346H213V584C213 613 216 616 246 616H322C398 616 419 607 436 579C449 559 455 539 464 499L493 503Z" id="g190-71"></path> </g> <g transform="matrix(.013,0,0,-0.013,129.07,26.487)"> <use xlink:href="#g190-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,139.35,26.487)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,149.88,26.487)"> <use xlink:href="#g190-71"></use> </g> <g transform="matrix(.013,0,0,-0.013,156.76,26.487)"> <use xlink:href="#g190-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,167.76,17.261)"> <use xlink:href="#g113-47"></use> </g> </g> </svg> <svg class="alt_equation" height="26.8365pt" id="I41" version="1.1" viewbox="0 0 170.73 26.8365" width="170.73pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 0)" xlink:href="#B41-1"></use> </svg></span></span><span class="right_break" id="R41"> <svg class="label" height="11.44pt" id="M41-2" version="1.1" viewbox="0 0 15.028 11.44" width="15.028pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B41-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M430 623H48C43 580 39 534 30 478H57C80 544 84 550 152 550H369C286 366 187 178 74 -1L81 -12L156 -2C249 201 343 408 438 611L430 623Z" id="g190-223"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.53,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="26.8365pt" id="IL41" version="1.1" viewbox="0 0 15.08 26.8365" width="15.08pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 7.49)" xlink:href="#B41-2"></use> </svg></span></span></p> <p>宏观<一世>F</一世>和微<一世>F</一世>继承了优势<一世>F</一世>-测量并能更好的体现少数标签的分类效果。</p> <p>宏观<一世>F</一世>指所有类别的每个统计指标值的算术平均值。宏观的计算方法<一世>F</一世>在等式中显示（<a href="#EEq8">10.</a>），方程（<a href="#EEq8">8.</a>）和（<a href="#EEq8">9.</a>）是宏观精度（宏观 -<一世>P.</一世>）和宏观召回（宏观 -<一世>R.</一世>）.在等式中（<a href="#EEq8">8.</a>）和（<a href="#EEq8">9.</a>)，<一世>P.</一世>和<一世>R.</一世>代表精度并回忆：<span class="equation_break" id="EEq8"><span class="left_break" id="L42"></span><span class="middle_break"><span class="center_break" id="M42"> <svg height="115.77pt" id="M42-1" version="1.1" viewbox="0 0 97.794 115.77" width="97.794pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B42-1"> <g transform="matrix(.013,0,0,-0.013,0,20.415)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.61,20.415)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.31,20.415)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.81,20.415)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.46,20.415)"> <path d="M257 449C165 449 37 374 37 209C37 98 119 -12 256 -12C355 -12 473 65 473 226C473 349 381 449 257 449ZM244 416C333 416 380 320 380 204C380 67 329 21 267 21C184 21 130 115 130 241C130 354 184 416 244 416Z" id="g190-112"></path> </g> <rect height="0.3985" width="3.91466" x="34" y="20.016"></rect> <g transform="matrix(.013,0,0,-0.013,37.92,20.415)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.75,20.415)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,64.35,11.907)"> <use xlink:href="#g113-50"></use> </g> <rect height="0.65243" width="6.55046" x="64.21" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,64.21,29.64)"> <use xlink:href="#g113-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,76.2,5.65)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.95,20.421)"> <use xlink:href="#g119-73"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,72.24,34.064)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.79,34.064)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,80.35,34.064)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,85.12,20.415)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,91.78,23.546)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,94.83,20.415)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="115.77pt" id="M42-3" version="1.1" viewbox="0 0 99.364 115.77" width="99.364pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B42-3"> <g transform="matrix(.013,0,0,-0.013,0,64.94)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.61,64.94)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.32,64.94)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.82,64.94)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.47,64.94)"> <use xlink:href="#g190-112"></use> </g> <rect height="0.3985" width="3.91466" x="34.01" y="64.542"></rect> <g transform="matrix(.013,0,0,-0.013,37.92,64.94)"> <path d="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z" id="g113-83"></path> </g> <g transform="matrix(.013,0,0,-0.013,51.88,64.94)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,64.48,56.432)"> <use xlink:href="#g113-50"></use> </g> <rect height="0.65243" width="6.55046" x="64.34" y="61.287"></rect> <g transform="matrix(.013,0,0,-0.013,64.34,74.166)"> <use xlink:href="#g113-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,76.33,50.176)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,72.09,64.947)"> <use xlink:href="#g119-73"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,72.38,78.589)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.93,78.589)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,80.49,78.589)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,85.25,64.94)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,93.34,68.072)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.4,64.94)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="115.77pt" id="M42-5" version="1.1" viewbox="0 0 54.561 115.77" width="54.561pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B42-5"> <g transform="matrix(.013,0,0,-0.013,0,106.194)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.61,106.194)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.32,106.194)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.82,106.194)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.47,106.194)"> <use xlink:href="#g190-112"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.13,106.194)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.67,106.194)"> <path d="M584 650H137L131 622C214 614 217 612 200 521L125 127C109 41 101 35 23 28L17 0H288L294 28C201 35 193 42 209 128L242 309H348C440 309 442 300 443 226H471L510 422H482C452 354 449 348 357 348H251L295 575C302 609 304 615 338 615H426C502 615 517 604 526 581C534 560 536 524 537 492L565 494C574 554 583 631 584 650Z" id="g113-71"></path> </g> </g> </svg> <svg height="115.77pt" id="M42-6" version="1.1" viewbox="0 0 141.894 115.77" width="141.894pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B42-6"> <g transform="matrix(.013,0,0,-0.013,0,106.194)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.46,97.687)"> <path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z" id="g113-51"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.61,97.687)"> <path d="M471 153C471 170 463 194 452 212C400 220 373 229 322 255C373 281 400 290 452 298C463 316 471 339 471 357C456 366 431 371 410 370C377 329 356 310 308 279C311 336 317 364 336 413C326 432 310 451 294 459C279 451 262 432 252 413C271 364 277 336 280 279C232 310 211 329 178 370C157 371 132 367 117 357C117 340 125 316 136 298C188 290 215 281 266 255C215 229 188 220 136 212C125 194 117 171 117 153C132 144 157 139 178 140C211 181 232 200 280 231C277 174 271 146 252 97C262 78 278 59 294 51C309 59 326 78 336 97C317 146 311 174 308 231C356 200 377 181 410 140C431 139 456 143 471 153Z" id="g113-43"></path> </g> <g transform="matrix(.013,0,0,-0.013,32.14,97.687)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,42.75,97.687)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,48.46,97.687)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,53.96,97.687)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,58.61,97.687)"> <use xlink:href="#g190-112"></use> </g> <rect height="0.3985" width="3.91466" x="66.15" y="97.288"></rect> <g transform="matrix(.013,0,0,-0.013,70.06,97.687)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.99,97.687)"> <use xlink:href="#g113-43"></use> </g> <g transform="matrix(.013,0,0,-0.013,91.53,97.687)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,102.14,97.687)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,107.84,97.687)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,113.34,97.687)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,118,97.687)"> <use xlink:href="#g190-112"></use> </g> <rect height="0.3985" width="3.91466" x="125.53" y="97.288"></rect> <g transform="matrix(.013,0,0,-0.013,129.45,97.687)"> <use xlink:href="#g113-83"></use> </g> <rect height="0.65243" width="125.277" x="12.46" y="102.541"></rect> <g transform="matrix(.013,0,0,-0.013,22.33,115.42)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.93,115.42)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.64,115.42)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.14,115.42)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,48.79,115.42)"> <use xlink:href="#g190-112"></use> </g> <rect height="0.3985" width="3.91466" x="56.33" y="115.021"></rect> <g transform="matrix(.013,0,0,-0.013,60.25,115.42)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.18,115.42)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,81.71,115.42)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,92.32,115.42)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,98.03,115.42)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,103.53,115.42)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,108.18,115.42)"> <use xlink:href="#g190-112"></use> </g> <rect height="0.3985" width="3.91466" x="115.72" y="115.021"></rect> <g transform="matrix(.013,0,0,-0.013,119.63,115.42)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,138.93,106.194)"> <use xlink:href="#g113-47"></use> </g> </g> </svg> <svg class="alt_equation" height="137.785pt" id="I42" version="1.1" viewbox="0 0 155.53 137.785" width="155.53pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 0)" xlink:href="#B42-1"></use> <use transform="matrix(1 0 0 1 0 0)" xlink:href="#B42-3"></use> <use transform="matrix(1 0 0 1 0 -7.96)" xlink:href="#B42-5"></use> <use transform="matrix(1 0 0 1 13.59 22.02)" xlink:href="#B42-6"></use> </svg></span></span><span class="right_break" id="R42"> <svg class="label" height="11.44pt" id="M42-2" version="1.1" viewbox="0 0 15.168 11.44" width="15.168pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B42-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M246 635C138 635 67 554 67 471C67 401 116 348 178 315C143 296 103 268 87 252C65 231 42 203 42 157C42 50 128 -12 234 -12C319 -12 432 52 432 169C432 256 370 303 299 344C347 376 373 399 381 408C399 430 408 459 408 487C408 569 341 635 246 635ZM235 603C284 603 334 567 334 483C334 420 306 383 273 358C202 393 142 427 142 503C142 552 173 603 235 603ZM245 21C179 21 122 70 122 163C122 219 155 270 204 300C279 263 352 219 352 144C352 66 308 21 245 21Z" id="g190-152"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.67,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="label" height="11.44pt" id="M42-4" version="1.1" viewbox="0 0 15.338 11.44" width="15.338pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B42-4"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M247 635C117 635 41 518 41 422C41 317 114 239 220 239C239 239 256 244 278 255L348 290C315 139 207 37 63 13L67 -15C93 -15 155 -5 207 17C343 71 443 203 443 385C443 520 371 635 247 635ZM231 602C331 602 355 476 355 390C355 371 354 349 351 325C334 310 298 294 261 294C177 294 128 369 128 457C128 516 155 602 231 602Z" id="g190-193"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.84,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="label" height="11.44pt" id="M42-7" version="1.1" viewbox="0 0 19.728 11.44" width="19.728pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B42-7"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.49,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.82,9.26)"> <path d="M248 635C97 635 43 457 43 311C43 153 97 -12 247 -12S450 166 450 312C450 466 397 635 248 635ZM246 603C337 603 361 452 361 312S337 20 248 20S132 172 132 313C132 452 156 603 246 603Z" id="g190-254"></path> </g> <g transform="matrix(.013,0,0,-0.013,15.23,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="137.785pt" id="IL42" version="1.1" viewbox="0 0 19.81 137.785" width="19.81pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 11.9)" xlink:href="#B42-2"></use> <use transform="matrix(1 0 0 1 0 56.42)" xlink:href="#B42-4"></use> <use transform="matrix(1 0 0 1 0 107.49)" xlink:href="#B42-7"></use> </svg></span></span></p> <p>微-<一世>F</一世>是为了计算数据集中的每个实例的全局混淆矩阵，而不管该类别如何。微-<一世>F</一世>按式(<a href="#EEq11">11.</a>），和（<a href="#EEq11">12.</a>）和（<a href="#EEq11">13.</a>）是微精度（微观 -<一世>P.</一世>）和微召回（微观 -<一世>R.</一世>）：<span class="equation_break" id="EEq11"><span class="left_break" id="L43"></span><span class="middle_break"><span class="center_break" id="M43"> <svg height="112.417pt" id="M43-1" version="1.1" viewbox="0 0 105.049 112.417" width="105.049pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B43-1"> <g transform="matrix(.013,0,0,-0.013,0,20.524)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.65,20.524)"> <use xlink:href="#g190-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.13,20.524)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.63,20.524)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.28,20.524)"> <use xlink:href="#g190-112"></use> </g> <rect height="0.3985" width="3.91466" x="31.81" y="20.125"></rect> <g transform="matrix(.013,0,0,-0.013,35.73,20.524)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,49.56,20.524)"> <use xlink:href="#g117-34"></use> </g> <rect height="0.65243" width="15.3975" x="75.88" y=".703"></rect> <g transform="matrix(.013,0,0,-0.013,75.88,12.016)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,83.9,12.016)"> <use xlink:href="#g190-81"></use> </g> <rect height="0.65243" width="43.1173" x="62.02" y="16.87"></rect> <rect height="0.65243" width="15.3975" x="62.02" y="20.132"></rect> <g transform="matrix(.013,0,0,-0.013,62.02,31.445)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,70.04,31.445)"> <use xlink:href="#g190-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.32,31.445)"> <use xlink:href="#g117-36"></use> </g> <rect height="0.65243" width="14.2492" x="90.86" y="20.36"></rect> <g transform="matrix(.013,0,0,-0.013,90.86,31.445)"> <use xlink:href="#g190-71"></use> </g> <g transform="matrix(.013,0,0,-0.013,97.73,31.445)"> <use xlink:href="#g190-81"></use> </g> </g> </svg> <svg height="112.417pt" id="M43-2" version="1.1" viewbox="0 0 111.594 112.417" width="111.594pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B43-2"> <g transform="matrix(.013,0,0,-0.013,0,20.524)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.28,11.025)"> <use xlink:href="#g119-65"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,49.07,4.625)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,49.07,14.803)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,51.62,14.803)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,57.18,14.803)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,62.16,11.019)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,70.18,11.019)"> <use xlink:href="#g190-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,77.55,14.151)"> <use xlink:href="#g50-106"></use> </g> <rect height="0.65243" width="94.9716" x="12.46" y="16.87"></rect> <g transform="matrix(.013,0,0,-0.013,12.46,30.045)"> <use xlink:href="#g119-65"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,22.25,23.645)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,22.25,33.823)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,24.8,33.823)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,30.36,33.823)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.33,30.039)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.35,30.039)"> <use xlink:href="#g190-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,50.73,33.17)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.69,30.039)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,67.23,30.045)"> <use xlink:href="#g119-65"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,77.01,23.645)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,77.01,33.823)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,79.56,33.823)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,85.12,33.823)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,90.1,30.039)"> <use xlink:href="#g190-71"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.98,30.039)"> <use xlink:href="#g190-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,104.35,33.17)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,108.63,20.524)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="112.417pt" id="M43-4" version="1.1" viewbox="0 0 105.349 112.417" width="105.349pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B43-4"> <g transform="matrix(.013,0,0,-0.013,0,63.372)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.65,63.372)"> <use xlink:href="#g190-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.13,63.372)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.63,63.372)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.29,63.372)"> <use xlink:href="#g190-112"></use> </g> <rect height="0.3985" width="3.91466" x="31.82" y="62.974"></rect> <g transform="matrix(.013,0,0,-0.013,35.73,63.372)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.51,63.372)"> <use xlink:href="#g117-34"></use> </g> <rect height="0.65243" width="15.3975" x="75.01" y="43.551"></rect> <g transform="matrix(.013,0,0,-0.013,75.01,54.865)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,83.03,54.865)"> <use xlink:href="#g190-81"></use> </g> <rect height="0.65243" width="45.4661" x="59.97" y="59.719"></rect> <rect height="0.65243" width="15.3975" x="59.97" y="62.981"></rect> <g transform="matrix(.013,0,0,-0.013,59.97,74.294)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,67.99,74.294)"> <use xlink:href="#g190-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,78.27,74.294)"> <use xlink:href="#g117-36"></use> </g> <rect height="0.65243" width="16.598" x="88.81" y="63.209"></rect> <g transform="matrix(.013,0,0,-0.013,88.81,74.294)"> <use xlink:href="#g190-71"></use> </g> <g transform="matrix(.013,0,0,-0.013,95.69,74.294)"> <use xlink:href="#g190-79"></use> </g> </g> </svg> <svg height="112.417pt" id="M43-5" version="1.1" viewbox="0 0 113.944 112.417" width="113.944pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B43-5"> <g transform="matrix(.013,0,0,-0.013,0,63.372)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.46,53.874)"> <use xlink:href="#g119-65"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,50.25,47.474)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,50.25,57.652)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,52.8,57.652)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,58.36,57.652)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.33,53.868)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.35,53.868)"> <use xlink:href="#g190-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,78.73,56.999)"> <use xlink:href="#g50-106"></use> </g> <rect height="0.65243" width="97.3204" x="12.46" y="59.719"></rect> <g transform="matrix(.013,0,0,-0.013,12.46,72.894)"> <use xlink:href="#g119-65"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,22.25,66.494)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,22.25,76.672)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,24.8,76.672)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,30.36,76.672)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.33,72.887)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.36,72.887)"> <use xlink:href="#g190-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,50.73,76.019)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.69,72.887)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,67.23,72.894)"> <use xlink:href="#g119-65"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,77.02,66.494)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,77.02,76.672)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,79.56,76.672)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,85.12,76.672)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,90.1,72.887)"> <use xlink:href="#g190-71"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.98,72.887)"> <use xlink:href="#g190-79"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,106.7,76.019)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,110.98,63.372)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="112.417pt" id="M43-7" version="1.1" viewbox="0 0 52.361 112.417" width="52.361pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B43-7"> <g transform="matrix(.013,0,0,-0.013,0,102.841)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.65,102.841)"> <use xlink:href="#g190-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.13,102.841)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.63,102.841)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.28,102.841)"> <use xlink:href="#g190-112"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.94,102.841)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.47,102.841)"> <use xlink:href="#g113-71"></use> </g> </g> </svg> <svg height="112.417pt" id="M43-8" version="1.1" viewbox="0 0 137.514 112.417" width="137.514pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B43-8"> <g transform="matrix(.013,0,0,-0.013,0,102.841)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.46,94.334)"> <use xlink:href="#g113-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.6,94.334)"> <use xlink:href="#g113-43"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.14,94.334)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,42.79,94.334)"> <use xlink:href="#g190-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.27,94.334)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.77,94.334)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.42,94.334)"> <use xlink:href="#g190-112"></use> </g> <rect height="0.3985" width="3.91466" x="63.95" y="93.935"></rect> <g transform="matrix(.013,0,0,-0.013,67.87,94.334)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,78.8,94.334)"> <use xlink:href="#g113-43"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.34,94.334)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,99.98,94.334)"> <use xlink:href="#g190-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,103.47,94.334)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,108.97,94.334)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,113.62,94.334)"> <use xlink:href="#g190-112"></use> </g> <rect height="0.3985" width="3.91466" x="121.15" y="93.935"></rect> <g transform="matrix(.013,0,0,-0.013,125.06,94.334)"> <use xlink:href="#g113-83"></use> </g> <rect height="0.65243" width="120.892" x="12.46" y="99.188"></rect> <g transform="matrix(.013,0,0,-0.013,22.32,112.067)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.97,112.067)"> <use xlink:href="#g190-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.46,112.067)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.96,112.067)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.61,112.067)"> <use xlink:href="#g190-112"></use> </g> <rect height="0.3985" width="3.91466" x="54.14" y="111.668"></rect> <g transform="matrix(.013,0,0,-0.013,58.05,112.067)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.98,112.067)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.52,112.067)"> <use xlink:href="#g190-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,90.17,112.067)"> <use xlink:href="#g190-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,93.65,112.067)"> <use xlink:href="#g190-100"></use> </g> <g transform="matrix(.013,0,0,-0.013,99.15,112.067)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,103.8,112.067)"> <use xlink:href="#g190-112"></use> </g> <rect height="0.3985" width="3.91466" x="111.33" y="111.668"></rect> <g transform="matrix(.013,0,0,-0.013,115.25,112.067)"> <use xlink:href="#g113-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,134.55,102.841)"> <use xlink:href="#g113-47"></use> </g> </g> </svg> <svg class="alt_equation" height="214.936pt" id="I43" version="1.1" viewbox="0 0 151.14 214.936" width="151.14pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 0)" xlink:href="#B43-1"></use> <use transform="matrix(1 0 0 1 13.59 40.25)" xlink:href="#B43-2"></use> <use transform="matrix(1 0 0 1 0 40.25)" xlink:href="#B43-4"></use> <use transform="matrix(1 0 0 1 13.59 80.5)" xlink:href="#B43-5"></use> <use transform="matrix(1 0 0 1 0 72.54)" xlink:href="#B43-7"></use> <use transform="matrix(1 0 0 1 13.59 102.52)" xlink:href="#B43-8"></use> </svg></span></span><span class="right_break" id="R43"> <svg class="label" height="11.44pt" id="M43-3" version="1.1" viewbox="0 0 17.788 11.44" width="17.788pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B43-3"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.9,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.29,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="label" height="11.44pt" id="M43-6" version="1.1" viewbox="0 0 19.468 11.44" width="19.468pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B43-6"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.93,9.26)"> <use xlink:href="#g190-243"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.97,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="label" height="11.44pt" id="M43-9" version="1.1" viewbox="0 0 19.258 11.44" width="19.258pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B43-9"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.49,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.89,9.26)"> <use xlink:href="#g190-232"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.76,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="214.936pt" id="IL43" version="1.1" viewbox="0 0 19.55 214.936" width="19.55pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 31.19)" xlink:href="#B43-3"></use> <use transform="matrix(1 0 0 1 0 114.29)" xlink:href="#B43-6"></use> <use transform="matrix(1 0 0 1 0 184.64)" xlink:href="#B43-9"></use> </svg></span></span></p> <h5 id="sec4.2">4.2。数据集</h5> <p>如表所示<a href="//www.newsama.com/journals/sp/2020/tab1/" target="_blank">1</a>的七个基准多标签数据集<一世>酵母</一世>那<一世>安然</一世>那<一世>TMC-2007.</一世>那<一世>cal500</一世>那<一世>Corel-16k.</一世>那<一世>Corel-5k</一世>和<一世>mediamill</一世>被选为实验数据集[<a href="#B31">31.</a>］.Multilabels的分类性能不仅与标签数相关，而且与数据集的不同特征相关。为了测量数据集的不同特征，我们介绍了DENS，卡和TCS [<a href="#B32">32.</a>]作为数据集的测量。DENS表示标签的密度，如等式所示（<a href="#EEq14">14.</a>）.值越高，标签越密集。卡片表示每个实例的平均标签数，如公式(<a href="#EEq14">15.</a>）.数量越高，每个实例的平均标签数越多。TCS用于评估数据集的复杂性，如等式所示（<a href="#EEq14">16.</a>）.更高的值表示数据集更复杂，并且对分类器更难预测正确的分类结果：<span class="equation_break" id="EEq14"><span class="left_break" id="L44"></span><span class="middle_break"><span class="center_break" id="M44"> <svg height="103.622pt" id="M44-1" version="1.1" viewbox="0 0 119.924 103.622" width="119.924pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B44-1"> <g transform="matrix(.013,0,0,-0.013,0,20.415)"> <path d="M43 650V622C120 616 128 612 128 526V124C128 39 120 33 34 27V0H270C392 0 492 25 567 83C643 141 690 230 690 350C690 444 655 517 605 565C543 625 450 650 323 650H43ZM213 547C213 587 217 598 226 604C236 612 262 617 304 617C371 617 429 604 474 576C554 529 592 439 592 336C592 176 505 36 319 36C246 36 213 55 213 131V547Z" id="g190-69"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.63,20.415)"> <use xlink:href="#g190-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.15,20.415)"> <use xlink:href="#g190-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,22.16,20.415)"> <use xlink:href="#g190-116"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.21,20.598)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.73,20.415)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.69,20.598)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.87,20.415)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,64.48,11.907)"> <use xlink:href="#g113-50"></use> </g> <rect height="0.65243" width="6.56351" x="64.33" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,64.33,29.641)"> <path d="M480 416C480 431 465 448 438 448C388 448 312 383 252 330C217 299 188 273 155 237H153L257 680C262 700 263 712 253 712C240 712 183 684 97 674L92 648L126 647C166 646 172 645 163 606L23 -6L29 -12C51 -5 77 2 107 8C115 62 130 128 142 180C153 193 179 220 204 241C231 170 259 106 288 54C317 0 336 -12 358 -12C381 -12 423 2 477 80L460 100C434 74 408 54 398 54C385 54 374 65 351 107C326 154 282 241 263 299C296 332 351 377 403 377C424 377 436 372 445 368C449 366 456 368 462 375C472 386 480 402 480 416Z" id="g113-108"></path> </g> <g transform="matrix(.013,0,0,-0.013,73.43,11.907)"> <use xlink:href="#g113-50"></use> </g> <rect height="0.65243" width="6.55046" x="73.28" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,73.28,29.641)"> <use xlink:href="#g113-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,85.27,5.651)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,81.03,20.422)"> <use xlink:href="#g119-73"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,81.32,34.064)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,83.87,34.064)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,89.43,34.064)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.37,20.657)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.013,0,0,-0.013,99.81,20.415)"> <use xlink:href="#g113-90"></use> </g> <g transform="matrix(.013,0,0,-0.013,107.76,20.415)"> <use xlink:href="#g113-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,111.31,20.657)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.013,0,0,-0.013,116.96,20.415)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="103.622pt" id="M44-3" version="1.1" viewbox="0 0 109.904 103.622" width="109.904pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B44-3"> <g transform="matrix(.013,0,0,-0.013,0,64.941)"> <use xlink:href="#g190-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.76,64.941)"> <use xlink:href="#g190-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.35,64.941)"> <use xlink:href="#g190-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,19,64.941)"> <path d="M517 51L485 54C448 58 441 63 441 115V712C404 700 337 684 285 678V653C357 648 362 645 362 580V437C339 446 309 449 295 449C159 449 38 340 38 201C38 61 143 -12 223 -12C234 -12 261 -6 301 17L362 53V-12C420 9 495 22 517 26V51ZM362 85C338 67 301 51 266 51C201 51 128 109 128 228C128 373 212 411 259 411C296 411 338 395 362 360V85Z" id="g190-101"></path> </g> <g transform="matrix(.013,0,0,-0.013,28.14,65.123)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.66,64.941)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.013,0,0,-0.013,42.62,65.123)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,50.8,64.941)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.4,56.433)"> <use xlink:href="#g113-50"></use> </g> <rect height="0.65243" width="6.55046" x="63.26" y="61.287"></rect> <g transform="matrix(.013,0,0,-0.013,63.26,74.166)"> <use xlink:href="#g113-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,75.25,50.176)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.01,64.947)"> <use xlink:href="#g119-73"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,71.3,78.59)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,73.84,78.59)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,79.4,78.59)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,86.35,65.182)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.78,64.941)"> <use xlink:href="#g113-90"></use> </g> <g transform="matrix(.013,0,0,-0.013,97.74,64.941)"> <use xlink:href="#g113-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,101.29,65.182)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.013,0,0,-0.013,106.94,64.941)"> <use xlink:href="#g113-45"></use> </g> </g> </svg> <svg height="103.622pt" id="M44-5" version="1.1" viewbox="0 0 142.624 103.622" width="142.624pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B44-5"> <g transform="matrix(.013,0,0,-0.013,0,99.644)"> <use xlink:href="#g190-85"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.92,99.644)"> <use xlink:href="#g190-68"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.56,99.644)"> <use xlink:href="#g190-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.99,99.827)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.5,99.644)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.46,99.827)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.64,99.644)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,58.91,99.644)"> <path d="M238 0V26C174 32 166 38 166 104V712C132 700 70 683 18 677V653C81 647 87 645 87 577V104C87 38 78 32 15 26V0H238Z" id="g121-106"></path> </g> <g transform="matrix(.013,0,0,-0.013,62.2,99.644)"> <path d="M257 449C165 449 37 374 37 209C37 98 119 -12 256 -12C355 -12 473 65 473 226C473 349 381 449 257 449ZM244 416C333 416 380 320 380 204C380 67 329 21 267 21C184 21 130 115 130 241C130 354 184 416 244 416Z" id="g121-109"></path> </g> <g transform="matrix(.013,0,0,-0.013,68.83,99.644)"> <use xlink:href="#g121-101"></use> </g> <g transform="matrix(.013,0,0,-0.013,77.15,99.644)"> <use xlink:href="#g119-5"></use> </g> <g transform="matrix(.013,0,0,-0.013,82.17,99.644)"> <path d="M619 670C619 686 593 712 555 712S459 686 410 634S335 504 320 430H250L219 400L222 388H312L258 73C223 -133 201 -166 187 -180C175 -191 158 -199 140 -199C123 -199 88 -188 74 -172C68 -166 63 -164 54 -171C38 -185 23 -201 23 -215C23 -236 60 -261 93 -261C122 -261 161 -247 207 -200C268 -138 300 -71 337 94C365 220 376 277 394 387L501 399L521 430H401C432 623 464 665 501 665C524 665 544 651 567 627C577 617 583 618 592 625C601 631 619 651 619 670Z" id="g113-103"></path> </g> <g transform="matrix(.013,0,0,-0.013,93.43,99.644)"> <use xlink:href="#g113-43"></use> </g> <g transform="matrix(.013,0,0,-0.013,103.97,99.644)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,113.41,99.644)"> <use xlink:href="#g113-43"></use> </g> <g transform="matrix(.013,0,0,-0.013,123.95,99.644)"> <path d="M238 681C243 705 239 712 230 712C217 712 156 682 75 674L70 648H105C148 648 153 641 144 598L39 110C18 11 35 -12 55 -12C90 -12 166 36 221 103L205 125C174 93 130 65 118 65C112 65 108 68 114 96L238 681Z" id="g113-109"></path> </g> <g transform="matrix(.013,0,0,-0.013,127.45,99.644)"> <path d="M352 391C352 416 319 448 267 448C236 448 173 423 147 400C107 364 96 332 96 304C96 248 143 210 193 181C241 153 258 124 258 100C258 72 232 38 184 38C151 38 107 66 81 108C77 114 64 116 55 111C34 99 23 84 23 65C23 29 81 -12 134 -12C220 -12 325 61 325 141C325 184 297 215 234 256C194 282 161 309 161 346C161 380 188 401 217 401C255 401 279 380 301 353C308 344 313 341 325 347C341 355 352 371 352 391Z" id="g113-116"></path> </g> <g transform="matrix(.013,0,0,-0.013,132.32,99.644)"> <use xlink:href="#g119-6"></use> </g> <g transform="matrix(.013,0,0,-0.013,139.66,99.644)"> <use xlink:href="#g113-45"></use> </g> </g> </svg></span></span><span class="right_break" id="R44"> <svg class="label" height="11.44pt" id="M44-2" version="1.1" viewbox="0 0 19.638 11.44" width="19.638pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B44-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.68,9.26)"> <use xlink:href="#g190-166"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.14,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="label" height="11.44pt" id="M44-4" version="1.1" viewbox="0 0 19.288 11.44" width="19.288pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B44-4"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.89,9.26)"> <use xlink:href="#g190-161"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.79,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="label" height="11.44pt" id="M44-6" version="1.1" viewbox="0 0 19.758 11.44" width="19.758pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B44-6"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.83,9.26)"> <use xlink:href="#g190-227"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.26,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span>在哪里<一世>N</一世>为实例数，<一世>F</一世>为输入特征的个数，<一世>K.</一世>是标签的数量，还有<一世>ls</一世>是不同标签集的数量。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab1"> <div class="floats-partial-content fig-content-tab1"> <table class="table-group" id="tab1"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="8"> <hr></td> </tr> <tr class="thead"> <td class="align_left">数据集</T.d> <td class="align_center">实例</T.d> <td class="align_center">标签</T.d> <td class="align_center">d</T.d> <td class="align_center">卡片</T.d> <td class="align_center">MeanIR</T.d> <td class="align_center">渐淡</T.d> <td class="align_center">TCS</T.d> </tr> <tr> <td class="thead-hr" colspan="8"> <hr></td> </tr> <tr> <td class="align_left">酵母</T.d> <td class="align_center">2417</T.d> <td class="align_center">14.</T.d> <td class="align_center">0.303</T.d> <td class="align_center">4.24</T.d> <td class="align_center">7.20</T.d> <td class="align_center">0.10</T.d> <td class="align_center">12.56</T.d> </tr> <tr> <td class="align_left">安然</T.d> <td class="align_center">1702</T.d> <td class="align_center">53.</T.d> <td class="align_center">0.06</T.d> <td class="align_center">3.38</T.d> <td class="align_center">73.95</T.d> <td class="align_center">0.30</T.d> <td class="align_center">17.50</T.d> </tr> <tr> <td class="align_left">TMC2007.</T.d> <td class="align_center">28596</T.d> <td class="align_center">22.</T.d> <td class="align_center">0.10</T.d> <td class="align_center">2.16</T.d> <td class="align_center">15.16</T.d> <td class="align_center">0.18</T.d> <td class="align_center">16.37</T.d> </tr> <tr> <td class="align_left">cal500</T.d> <td class="align_center">502.</T.d> <td class="align_center">174.</T.d> <td class="align_center">0.15</T.d> <td class="align_center">26.04</T.d> <td class="align_center">20.59</T.d> <td class="align_center">0.34</T.d> <td class="align_center">15.60</T.d> </tr> <tr> <td class="align_left">Corel-16k.</T.d> <td class="align_center">13766</T.d> <td class="align_center">153.</T.d> <td class="align_center">0.02</T.d> <td class="align_center">2.86</T.d> <td class="align_center">34.16</T.d> <td class="align_center">0.27</T.d> <td class="align_center">19.72</T.d> </tr> <tr> <td class="align_left">Corel-5k</T.d> <td class="align_center">5000</T.d> <td class="align_center">161.</T.d> <td class="align_center">0.01</T.d> <td class="align_center">3.52</T.d> <td class="align_center">189.57</T.d> <td class="align_center">0.39</T.d> <td class="align_center">20.20</T.d> </tr> <tr> <td class="align_left">MediaMill.</T.d> <td class="align_center">43907</T.d> <td class="align_center">101.</T.d> <td class="align_center">0.04</T.d> <td class="align_center">4.38</T.d> <td class="align_center">256.41</T.d> <td class="align_center">0.36</T.d> <td class="align_center">18.19</T.d> </tr> <tr class="table-tr"> <td colspan="8"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表1</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/sp/2020/tab1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 七个基准测试数据集的描述。</div> </div> </div> <h5 id="sec4.3">4.3。最佳价值<一世>T.</一世>和<一世>m</一世></h5> <p>参数<一世>T.</一世>和<一世>m</一世>在我们的方法(ML-DBR算法)中，直接影响算法的性能，因此探索合适的值也很重要<一世>T.</一世>和<一世>m</一世>．<一世>T.</一世>为解耦的阈值。什么时候<一世>T.</一世>很高，有些情况没有解耦。如果<一世>T.</一世>较低，当标签并发平衡时，实例继续解耦<一世>T.</一世>应低于不同数据集的SCUMBLE值。在不同的数据集上，SCUMBLE的最低值是0.1，所以<一世>T.</一世>≤0.1.<一世>m</一世>是在每次重采样期间提取的实例数。什么时候<一世>m</一世>是高的，就有可能增加某些实例的频率。什么时候<一世>m</一世>可以选择对少数标签产生更大影响的情况。此外，<一世>m</一世>需要少于少数民族标签的最小实例数。在ML-DBR中，<一世>T.</一世>设置为0.1、0.01和0.001，<一世>m</一世>设置为3,5和7进行比较。在传统的多标签分类中，将MultiBel转换为二进制分类问题，例如LP和BR是最常见的方法。在本文中，LP，BR和ML-KNN [<a href="#B33">33.</a>选择进行分类，C4.5用作BR和LP中的底层分类器。算法中的所有参数被选为默认参数，重采样率<svg height="8.68572pt" id="M45" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.15071 8.68572" width="8.15071pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> </svg>在实验中设定为0.1，这是ML-ROS的最佳重采样率，并且ML-KNN的邻居数量设定为10.在该实验中使用10倍的交叉验证。<一世>酵母</一世>那<一世>安然</一世>那<一世>TMC-2007.</一世>那<一世>cal500</一世>,<一世>Corel16k</一世>作为实验数据集。</p> <p>的实验结果<一世>m</一世>和<一世>T.</一世>值如图所示<a href="//www.newsama.com/journals/sp/2020/fig1/" target="_blank">1</a>-<a href="//www.newsama.com/journals/sp/2020/fig5/" target="_blank">5.</a>．什么时候<一世>m</一世> = 3, it performs better on different datasets than<一世>m</一世> = 5 and<一世>m</一世> = 7. In the measurement of micro-<一世>F</一世>，表现<一世>m</一世> = 3 far exceeds that of the other two values. The main reason is that when<一世>m</一世>是5和7，它增加了具有高分剥离的一部分情况的频率，并且过度装备比<一世>m</一世> = 3 in the classification. Therefore,<一世>m</一世> = 3 is an appropriate value in the ML-DBR. It is also found in the experiment that the performance at<一世>T.</一世>= 0.01优于0.001和0.1。原因是阈值较低时<一世>T.</一世>= 0.001，和SCUMBLEIns的所有实例> SCUMBLE(<一世>D.</一世>）<sub>1</sub>几乎跟解耦，在数据集平衡之后无法终止解耦;什么时候<一世>T.</一世> = 0.1, the threshold is higher, and the decoupling is terminated when the dataset is not balanced. These figures show that<一世>T.</一世>= 0.01,<一世>m</一世> = 3 obtained the best results for most of the datasets and the combination of ML-DBR and ML-kNN classification algorithms has the best effect, and it is better than LP and BR in different measurements, indicating that ML-kNN is more suitable for ML-DBR.</p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig1"> <div class="floats-partial-content fig-content-fig1"> <div class="partial-carousel--single-image"> <img alt="" name="8829432.fig.001" src="https://static-01.hindawi.com/articles/sp/volume-2020/8829432/figures/8829432.fig.001.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/sp/2020/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 结果不同<一世>T.</一世>和<一世>m</一世>酵母数据集中的值。不同的颜色代表不同的评估指标，不同的线型代表不同的算法。</div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig2"> <div class="floats-partial-content fig-content-fig2"> <div class="partial-carousel--single-image"> <img alt="" name="8829432.fig.002" src="https://static-01.hindawi.com/articles/sp/volume-2020/8829432/figures/8829432.fig.002.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/sp/2020/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 结果不同<一世>T.</一世>和<一世>m</一世>enron数据集中的值。不同的颜色代表不同的评估指标，不同的线型代表不同的算法。</div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig3"> <div class="floats-partial-content fig-content-fig3"> <div class="partial-carousel--single-image"> <img alt="" name="8829432.fig.003" src="https://static-01.hindawi.com/articles/sp/volume-2020/8829432/figures/8829432.fig.003.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/sp/2020/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 结果不同<一世>T.</一世>和<一世>m</一世>TMC-2007数据集中的值。不同的颜色代表不同的评估指标，不同的线型代表不同的算法。</div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig4"> <div class="floats-partial-content fig-content-fig4"> <div class="partial-carousel--single-image"> <img alt="" name="8829432.fig.004" src="https://static-01.hindawi.com/articles/sp/volume-2020/8829432/figures/8829432.fig.004.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/sp/2020/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 结果不同<一世>T.</一世>和<一世>m</一世>CAL-500数据集中的值。不同的颜色代表不同的评估指标，不同的线型代表不同的算法。</div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig5"> <div class="floats-partial-content fig-content-fig5"> <div class="partial-carousel--single-image"> <img alt="" name="8829432.fig.005" src="https://static-01.hindawi.com/articles/sp/volume-2020/8829432/figures/8829432.fig.005.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/sp/2020/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 结果不同<一世>T.</一世>和<一世>m</一世>Corel-16k数据集中的值。不同的颜色代表不同的评估指标，不同的线型代表不同的算法。</div> </div> </div> <h5 id="sec4.4">4.4。实验和分析</h5> <p>将所提出的ML-DBR算法与三种算法进行比较：Remedial-HWR-HUS，Remedial-HWR-ROS [<a href="#B28">28.</a>]，以及补救的组合[<a href="#B27">27.</a>)和LP-ROS。在之前的实验中，特别是在非平衡数据集上，remed - hrr - hus和remed - hrr - ros算法取得了良好的效果。使用LP、BR和ML-kNN分类器对数据集进行分类，并使用十倍交叉验证。在ML-DBR,<一世>m</一世>值设置为3，<一世>T.</一世>被设定为0.01。重采样率<svg height="8.68572pt" id="M46" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.15071 8.68572" width="8.15071pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> </svg>在所有算法中为0.1，默认情况下所有其他参数。在每个数据集上进行10个实验，并将结果进行了平均值。</p> <p>桌子<a href="//www.newsama.com/journals/sp/2020/tab2/" target="_blank">2</a>-<a href="//www.newsama.com/journals/sp/2020/tab4/" target="_blank">4.</a>展示了实验结果评定的准确性、宏观性<一世>F</一世>和微f。最佳结果是以粗体字体突出显示的。如表所示<a href="//www.newsama.com/journals/sp/2020/tab2/" target="_blank">2</a>与其他算法相比，ML-DBR取得了最好的结果。在表中<a href="//www.newsama.com/journals/sp/2020/tab3/" target="_blank">3.</a>和<a href="//www.newsama.com/journals/sp/2020/tab4/" target="_blank">4.</a>，ML-DBR还具有宏观的最佳性能<一世>F</一世>和微<一世>F</一世>价值观。ML-DBR的性能远远领先于其他算法<一世>Corel16k</一世>那<一世>安然</一世>那<一世>Corel-5k</一世>,<一世>mediamill</一世>数据集表示我们所提出的ML-DBR算法在焊缝和TCS更高时获得最佳结果。此外，ML-DBR还在具有较低缝隙和TCS的数据集上具有某些优点。ML-DBR实现了最佳结果<一世>TMC-2007.</一世>数据集。在这一点<一世>酵母</一世>数据集中，与remedial - hrr - ros相比，ML-DBR在某些指标上没有获得最佳结果。这是因为<一世>酵母</一世>DataSet具有较低的滚动滚动和VILIR值，并且在预处理时两种算法之间没有明显的差异<一世>酵母</一世>数据集。在这一点<一世>卡尔- 500</一世>数据集上，ML-DBR的精度没有明显提高，但宏- dbr的精度没有显著提高<一世>F</一世>和微<一世>F</一世>ML-DBR的值优于其他算法，这表明少数群体标签的分类精度已经提高<一世>卡尔- 500</一世>数据集。一般情况下，ML-DBR和ML-kNN分类器的组合性能最好。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab2"> <div class="floats-partial-content fig-content-tab2"> <table class="table-group" id="tab2"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr class="thead"> <td class="align_left">算法</T.d> <td class="align_center">数据集</T.d> <td class="align_center">LP-ROS.</T.d> <td class="align_center">补救措施-HWR-HUS</T.d> <td class="align_center">remedial-hwr-ros</T.d> <td class="align_center">ML-DBR.</T.d> </tr> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">酵母</T.d> <td class="align_center">0.4038</T.d> <td class="align_center">0.4179</T.d> <td class="align_center"><b>0.4344</b></td> <td class="align_center">0.4321</T.d> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">安然</T.d> <td class="align_center">0.3447</T.d> <td class="align_center">0.3523</T.d> <td class="align_center">0.3605</T.d> <td class="align_center"><b>0.3936.</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">TMC-2007.</T.d> <td class="align_center">0.5929</T.d> <td class="align_center">0.6027</T.d> <td class="align_center">0.6038</T.d> <td class="align_center"><b>0.6052</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">卡尔- 500</T.d> <td class="align_center">0.2069</T.d> <td class="align_center">0.1851</T.d> <td class="align_center"><b>0.2291</b></td> <td class="align_center">0.2284</T.d> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">Corel-16k.</T.d> <td class="align_center">0.0951</T.d> <td class="align_center">0.1018</T.d> <td class="align_center">0.1196.</T.d> <td class="align_center"><b>0.1356</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">Corel-5k</T.d> <td class="align_center">0.0864</T.d> <td class="align_center">0.1011</T.d> <td class="align_center">0.0924</T.d> <td class="align_center"><b>0.1028</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">MediaMill.</T.d> <td class="align_center">0.4039.</T.d> <td class="align_center">0.4326</T.d> <td class="align_center">0.4462</T.d> <td class="align_center"><b>0.4697</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">酵母</T.d> <td class="align_center">0.4027</T.d> <td class="align_center"><b>0.4306</b></td> <td class="align_center">0.4191</T.d> <td class="align_center">0.4286</T.d> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">安然</T.d> <td class="align_center">0.3134</T.d> <td class="align_center">0.3912</T.d> <td class="align_center">0.3903</T.d> <td class="align_center"><b>0.4291</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">TMC-2007.</T.d> <td class="align_center">0.4862</T.d> <td class="align_center">0.6012</T.d> <td class="align_center">0.6068</T.d> <td class="align_center"><b>0.6127</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">卡尔- 500</T.d> <td class="align_center">0.1961</T.d> <td class="align_center">0.1849.</T.d> <td class="align_center"><b>0.2336</b></td> <td class="align_center">0.2315</T.d> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">Corel-16k.</T.d> <td class="align_center">0.0958</T.d> <td class="align_center">0.1067</T.d> <td class="align_center">0.1214</T.d> <td class="align_center"><b>0.1338</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">Corel-5k</T.d> <td class="align_center">0.0871</T.d> <td class="align_center">0.0951</T.d> <td class="align_center">0.0894</T.d> <td class="align_center"><b>0.0972</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">MediaMill.</T.d> <td class="align_center">0.4018</T.d> <td class="align_center">0.4276</T.d> <td class="align_center">0.4250</T.d> <td class="align_center"><b>0.4429</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">酵母</T.d> <td class="align_center">0.4046.</T.d> <td class="align_center">0.4219</T.d> <td class="align_center">0.4367</T.d> <td class="align_center"><b>0.4463</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">安然</T.d> <td class="align_center">0.3875</T.d> <td class="align_center">0.4286</T.d> <td class="align_center">0.4322</T.d> <td class="align_center"><b>0.4468</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">TMC-2007.</T.d> <td class="align_center">0.5328</T.d> <td class="align_center">0.6340</T.d> <td class="align_center">0.6379</T.d> <td class="align_center"><b>0.6479</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">卡尔- 500</T.d> <td class="align_center">0.2494</T.d> <td class="align_center">0.2231.</T.d> <td class="align_center"><b>0.2771</b></td> <td class="align_center">0.2741</T.d> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">Corel-16k.</T.d> <td class="align_center">0.1028</T.d> <td class="align_center">0.1242</T.d> <td class="align_center">0.1266</T.d> <td class="align_center"><b>0.1453</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">Corel-5k</T.d> <td class="align_center">0.1020</T.d> <td class="align_center"><b>0.1238</b></td> <td class="align_center">0.1136.</T.d> <td class="align_center">0.1221</T.d> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">MediaMill.</T.d> <td class="align_center">0.4457</T.d> <td class="align_center">0.4813</T.d> <td class="align_center">0.4879</T.d> <td class="align_center"><b>0.4908</b></td> </tr> <tr class="table-tr"> <td colspan="6"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表2</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/sp/2020/tab2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 不同重采样算法的准确性值。</div> </div> </div> <div class="floats-partial-section partial-other-wrapper" data-section="tab3"> <div class="floats-partial-content fig-content-tab3"> <table class="table-group" id="tab3"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr class="thead"> <td class="align_left">算法</T.d> <td class="align_center">数据集</T.d> <td class="align_center">LP-ROS.</T.d> <td class="align_center">补救措施-HWR-HUS</T.d> <td class="align_center">remedial-hwr-ros</T.d> <td class="align_center">ML-DBR.</T.d> </tr> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">酵母</T.d> <td class="align_center">0.4328</T.d> <td class="align_center">0.4592</T.d> <td class="align_center"><b>0.4629</b></td> <td class="align_center">0.4609</T.d> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">安然</T.d> <td class="align_center">0.3582</T.d> <td class="align_center">0.3863</T.d> <td class="align_center">0.3927</T.d> <td class="align_center"><b>0.4151</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">TMC-2007.</T.d> <td class="align_center">0.5174</T.d> <td class="align_center">0.6138</T.d> <td class="align_center">0.6199</T.d> <td class="align_center"><b>0.6264</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">卡尔- 500</T.d> <td class="align_center">0.3041</T.d> <td class="align_center">0.3028</T.d> <td class="align_center">0.3325.</T.d> <td class="align_center"><b>0.3406</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">Corel-16k.</T.d> <td class="align_center">0.0924</T.d> <td class="align_center">0.1057</T.d> <td class="align_center">0.1129.</T.d> <td class="align_center"><b>0.1377</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">Corel-5k</T.d> <td class="align_center">0.1236</T.d> <td class="align_center">0.1429.</T.d> <td class="align_center">0.1354</T.d> <td class="align_center"><b>0.1438</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">MediaMill.</T.d> <td class="align_center">0.2248</T.d> <td class="align_center">0.2379</T.d> <td class="align_center">0.2406</T.d> <td class="align_center"><b>0.2428</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">酵母</T.d> <td class="align_center">0.4320</T.d> <td class="align_center"><b>0.4573</b></td> <td class="align_center">0.4512</T.d> <td class="align_center">0.4556</T.d> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">安然</T.d> <td class="align_center">0.3602</T.d> <td class="align_center">0.3667</T.d> <td class="align_center">0.4021.</T.d> <td class="align_center"><b>0.4134</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">TMC-2007.</T.d> <td class="align_center">0.5228</T.d> <td class="align_center">0.5854</T.d> <td class="align_center">0.6039.</T.d> <td class="align_center"><b>0.6194</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">卡尔- 500</T.d> <td class="align_center">0.3112</T.d> <td class="align_center">0.2935.</T.d> <td class="align_center">0.3209</T.d> <td class="align_center"><b>0.3461</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">Corel-16k.</T.d> <td class="align_center">0.0941</T.d> <td class="align_center">0.1124</T.d> <td class="align_center">0.1136.</T.d> <td class="align_center"><b>0.1461</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">Corel-5k</T.d> <td class="align_center">0.1265</T.d> <td class="align_center"><b>0.1479</b></td> <td class="align_center">0.1323</T.d> <td class="align_center">0.1468</T.d> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">MediaMill.</T.d> <td class="align_center">0.2392</T.d> <td class="align_center">0.2416</T.d> <td class="align_center">0.2473</T.d> <td class="align_center"><b>0.2605</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">酵母</T.d> <td class="align_center">0.4292</T.d> <td class="align_center">0.4760</T.d> <td class="align_center"><b>0.5374</b></td> <td class="align_center">0.5360.</T.d> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">安然</T.d> <td class="align_center">0.4338</T.d> <td class="align_center">0.3851</T.d> <td class="align_center">0.4417.</T.d> <td class="align_center"><b>0.4624</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">TMC-2007.</T.d> <td class="align_center">0.4864</T.d> <td class="align_center">0.6133</T.d> <td class="align_center">0.6420.</T.d> <td class="align_center"><b>0.6515</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">卡尔- 500</T.d> <td class="align_center">0.3543</T.d> <td class="align_center">0.3691</T.d> <td class="align_center">0.3757</T.d> <td class="align_center"><b>0.4204.</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">Corel-16k.</T.d> <td class="align_center">0.1245</T.d> <td class="align_center">0.1263</T.d> <td class="align_center">0.1565</T.d> <td class="align_center"><b>0.1829</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">Corel-5k</T.d> <td class="align_center">0.2012</T.d> <td class="align_center">0.2205</T.d> <td class="align_center">0.2187</T.d> <td class="align_center"><b>0.2274</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">MediaMill.</T.d> <td class="align_center">0.2572</T.d> <td class="align_center">0.2938</T.d> <td class="align_center">0.2856.</T.d> <td class="align_center"><b>0.3067</b></td> </tr> <tr class="table-tr"> <td colspan="6"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表3</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/sp/2020/tab3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 宏观<一世>F</一世>不同重采样算法的值。</div> </div> </div> <div class="floats-partial-section partial-other-wrapper" data-section="tab4"> <div class="floats-partial-content fig-content-tab4"> <table class="table-group" id="tab4"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr class="thead"> <td class="align_left">算法</T.d> <td class="align_center">数据集</T.d> <td class="align_center">LP-ROS.</T.d> <td class="align_center">补救措施-HWR-HUS</T.d> <td class="align_center">remedial-hwr-ros</T.d> <td class="align_center">ML-DBR.</T.d> </tr> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">酵母</T.d> <td class="align_center">0.5737</T.d> <td class="align_center"><b>0.6774</b></td> <td class="align_center">0.6743</T.d> <td class="align_center">0.6763</T.d> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">安然</T.d> <td class="align_center">0.5581</T.d> <td class="align_center">0.5649</T.d> <td class="align_center">0.6016</T.d> <td class="align_center"><b>0.6238</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">TMC-2007.</T.d> <td class="align_center">0.6125</T.d> <td class="align_center">0.7033</T.d> <td class="align_center">0.7072</T.d> <td class="align_center"><b>0.7103</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">卡尔- 500</T.d> <td class="align_center">0.4279</T.d> <td class="align_center">0.4213</T.d> <td class="align_center">0.4316</T.d> <td class="align_center"><b>0.4424</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">Corel-16k.</T.d> <td class="align_center">0.2374</T.d> <td class="align_center">0.2867</T.d> <td class="align_center">0.3416</T.d> <td class="align_center"><b>0.3652</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">Corel-5k</T.d> <td class="align_center">0.2229</T.d> <td class="align_center">0.2752</T.d> <td class="align_center">0.2433</T.d> <td class="align_center"><b>0.2809</b></td> </tr> <tr> <td class="align_left">LP.</T.d> <td class="align_center">MediaMill.</T.d> <td class="align_center">0.5136</T.d> <td class="align_center">0.5625</T.d> <td class="align_center">0.5593</T.d> <td class="align_center"><b>0.5671</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">酵母</T.d> <td class="align_center">0.5917</T.d> <td class="align_center">0.6667</T.d> <td class="align_center"><b>0.6753</b></td> <td class="align_center">0.6742</T.d> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">安然</T.d> <td class="align_center">0.5784</T.d> <td class="align_center">0.5939.</T.d> <td class="align_center">0.6016</T.d> <td class="align_center"><b>0.6429</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">TMC-2007.</T.d> <td class="align_center">0.6379</T.d> <td class="align_center">0.7221</T.d> <td class="align_center">0.7230.</T.d> <td class="align_center"><b>0.7248</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">卡尔- 500</T.d> <td class="align_center">0.4213</T.d> <td class="align_center">0.4652</T.d> <td class="align_center">0.4679</T.d> <td class="align_center"><b>0.4956</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">Corel-16k.</T.d> <td class="align_center">0.2466</T.d> <td class="align_center">0.3455</T.d> <td class="align_center">0.3492</T.d> <td class="align_center"><b>0.3601</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">Corel-5k</T.d> <td class="align_center">0.2185</T.d> <td class="align_center">0.2673</T.d> <td class="align_center">0.2357</T.d> <td class="align_center"><b>0.2710</b></td> </tr> <tr> <td class="align_left">布尔</T.d> <td class="align_center">MediaMill.</T.d> <td class="align_center">0.5278</T.d> <td class="align_center">0.5562</T.d> <td class="align_center">0.5641</T.d> <td class="align_center"><b>0.5698</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">酵母</T.d> <td class="align_center">0.6939</T.d> <td class="align_center">0.6985</T.d> <td class="align_center">0.7011</T.d> <td class="align_center"><b>0.7213</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">安然</T.d> <td class="align_center">0.6061.</T.d> <td class="align_center">0.5732</T.d> <td class="align_center">0.6108</T.d> <td class="align_center"><b>0.6805</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">TMC-2007.</T.d> <td class="align_center">0.7248</T.d> <td class="align_center">0.7225</T.d> <td class="align_center">0.7354</T.d> <td class="align_center"><b>0.7826</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">卡尔- 500</T.d> <td class="align_center">0.5849</T.d> <td class="align_center">0.5320.</T.d> <td class="align_center">0.6287</T.d> <td class="align_center"><b>0.6735</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">Corel-16k.</T.d> <td class="align_center">0.4266</T.d> <td class="align_center">0.4212</T.d> <td class="align_center">0.4597</T.d> <td class="align_center"><b>0.4675</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">Corel-5k</T.d> <td class="align_center">0.3901</T.d> <td class="align_center">0.4670</T.d> <td class="align_center">0.4524</T.d> <td class="align_center"><b>0.4709</b></td> </tr> <tr> <td class="align_left">ML-kNN</T.d> <td class="align_center">MediaMill.</T.d> <td class="align_center">0.6817.</T.d> <td class="align_center">0.7724</T.d> <td class="align_center">0.7782</T.d> <td class="align_center"><b>0.7815</b></td> </tr> <tr class="table-tr"> <td colspan="6"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表4</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/sp/2020/tab4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 微-<一世>F</一世>不同重采样算法的值。</div> </div> </div> <p>桌子<a href="//www.newsama.com/journals/sp/2020/tab5/" target="_blank">5.</a>显示了使用ML-DBR后每个数据集的新的SCUMBLE和MeanIR值。SCUMLE和MeanIR值较表有所降低<a href="//www.newsama.com/journals/sp/2020/tab1/" target="_blank">1</a>，验证了所提出的ML-DBR算法所采用的解耦策略和重采样策略的有效性。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab5"> <div class="floats-partial-content fig-content-tab5"> <table class="table-group" id="tab5"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="3"> <hr></td> </tr> <tr class="thead"> <td class="align_left">数据集</T.d> <td class="align_center">MeanIR</T.d> <td class="align_center">渐淡</T.d> </tr> <tr> <td class="thead-hr" colspan="3"> <hr></td> </tr> <tr> <td class="align_left">酵母</T.d> <td class="align_center">2.43</T.d> <td class="align_center">0.07</T.d> </tr> <tr> <td class="align_left">安然</T.d> <td class="align_center">48.19.</T.d> <td class="align_center">0.23</T.d> </tr> <tr> <td class="align_left">TMC2007.</T.d> <td class="align_center">12.42</T.d> <td class="align_center">0.14</T.d> </tr> <tr> <td class="align_left">cal500</T.d> <td class="align_center">18.19</T.d> <td class="align_center">0.24</T.d> </tr> <tr> <td class="align_left">Corel-16k.</T.d> <td class="align_center">27.32</T.d> <td class="align_center">0.21</T.d> </tr> <tr> <td class="align_left">Corel-5k</T.d> <td class="align_center">69.75</T.d> <td class="align_center">0.26</T.d> </tr> <tr> <td class="align_left">MediaMill.</T.d> <td class="align_center">80.61</T.d> <td class="align_center">0.26</T.d> </tr> <tr class="table-tr"> <td colspan="3"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表5</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/sp/2020/tab5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> ML-DBR应用后的均值ir和SCUMBLE值。</div> </div> </div> <p>综上所述，与其他重采样算法相比，我们的实验证明ML-DBR是几种多标签重采样算法中性能最好的。它能有效地在数据级均衡多标签不均衡数据。ML-DBR能有效处理多标签不均衡数据，少数标签和多数标签的并发性高，对提高少数标签的分类性能有显著效果。</p> <h4 id="conclusions">5。结论</h4> <p>多标签数据存在多数标签和少数标签不平衡和高并发的问题。本文提出了数据级的ML-DBR算法。通过对多标号和少标号的高并发数据解耦，测量重采样过程中标号的影响，减少了标号的不平衡性，保证了实例的独立性。因此，ML-DBR具有以下优点:(1)解耦策略更加有效合理;(2)将欠采样和过采样过程相结合，减少了过采样造成的少数标签信息冗余和欠采样造成的多数标签信息丢失，使实例分布更加均衡，减少了采样过程中对少数标签的影响;(3)数据集的原始分布状态不会发生太大变化，保持了数据集的原始分布。实验表明，ML-DBR可以有效地提高分类器的分类性能。ML-DBR算法在TCS值高、标签数量多、scumble值高的标签并发性高的数据集上取得了显著的效果。如何找到更合适的<一世>m</一世>和<一世>T.</一世>不同数据集的价值观是我们未来工作的重点。</p> <h4 id="data-availability">数据可用性</h4> <p>用于支持本研究结果的数据集已存入Mulan存储库（<a href="http://mulan.sourceforge.net/datasets-mlc.html" target="_blank">http://mulan.sourceforge.net/datasets-mlc.html</a>）.</p> <h4 id="conflicts-of-interest">利益冲突</h4> <p>作者声明本文的发表不存在利益冲突。</p> <h4 id="acknowledgments">致谢</h4> <p>该研究得到了中国国家自然科学基金的支持，否定。61373057，浙江省自然科学基金会授予否。LY20F020009，丽水市科技规划项目授予拒绝。2019RC05。</p> </div> <div class="xml-content"> <h4 class="references" id="references">参考文献</h4> <ol> <li id="B1">G. Menardi和N. Torelli，《用不平衡的数据训练和评估分类规则》，<一世>数据挖掘和知识发现</一世>，卷。28，不。1，pp。92-122,2014。<span class="reflinks">查看在：<a href="https://doi.org/10.1007/s10618-012-0295-5">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Training%20and%20assessing%20classification%20rules%20with%20imbalanced%20data&author=G. Menardi &author=N. Torelli&publication_year=2014" target="_blank">谷歌学术</a></span></li> <li id="B2">朱海峰，刘刚，周明，“基于加权极值学习机的信用卡欺诈检测方法及其应用”，<一世>Neurocomputing</一世>，卷。407，pp。50-62,2020。<span class="reflinks">查看在：<a href="https://doi.org/10.1016/j.neucom.2020.04.078">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Optimizing%20weighted%20extreme%20learning%20machines%20for%20imbalanced%20classification%20and%20application%20to%20credit%20card%20fraud%20detection&author=H. Zhu&author=G. Liu&author=M. Zhou&author=Y. Xie&author=A. Abusorrah&author=&author=Q. Kang&publication_year=2020" target="_blank">谷歌学术</a></span></li> <li id="B3">H. Elghazel，A.Aussem，O. Gharroudi和W. Saadaoui，“基于旋转森林和潜在语义索引的集合多标签文本分类”，<一世>具有应用的专家系统</一世>，卷。57，pp。1-11,2016。<span class="reflinks">查看在：<a href="https://doi.org/10.1016/j.eswa.2016.03.041">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Ensemble%20multi-label%20text%20categorization%20based%20on%20rotation%20forest%20and%20latent%20semantic%20indexing&author=H. Elghazel&author=A. Aussem&author=O. Gharroudi&author=&author=W. Saadaoui&publication_year=2016" target="_blank">谷歌学术</a></span></li> <li id="B4">M. R. Boutell，J. Luo，X. Shen和C. M. Brown，“学习多标签场景分类”，<一世>模式识别</一世>，第37卷，第2期9，页1757 - 1771,2004。<span class="reflinks">查看在：<a href="https://doi.org/10.1016/j.patcog.2004.03.009">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Learning%20multi-label%20scene%20classification&author=M. R. Boutell&author=J. Luo&author=X. Shen&author=&author=C. M. Brown&publication_year=2004" target="_blank">谷歌学术</a></span></li> <li id="B5">丹尼尔斯(Z. A. Daniels)和梅塔克斯(D. N. Metaxas)，“利用结构海灵格森林解决多标签分类中的不平衡”，刊于<一世>第三十一届AAAI人工智能会议论文集</一世>，pp.1826-1832，美国旧金山，加利福尼亚州，2017年2月。<span class="reflinks">查看在：<a href="https://scholar.google.com/scholar_lookup?title=Addressing%20imbalance%20in%20multi-label%20classification%20using%20structured%20hellinger%20forests&author=Z. A. Daniels &author=D. N. Metaxas" target="_blank">谷歌学术</a></span></li> <li id="B6">C. L. Castro和A.P. Braga，“新颖的成本敏感方法来改善不平衡数据的多层的感知性能，”<一世>神经网络与学习系统</一世>，第24卷，第2期6，第88 - 899页，2013。<span class="reflinks">查看在：<a href="https://doi.org/10.1109/tnnls.2013.2246188">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Novel%20cost-sensitive%20approach%20to%20improve%20the%20multilayer%20perceptron%20performance%20on%20imbalanced%20data&author=C. L. Castro &author=A. P. Braga&publication_year=2013" target="_blank">谷歌学术</a></span></li> <li id="B7">S.-J。黄,J.-L。陈晓明，穆晓明，张志华。周，“向不同的标签商进行高性价比的主动学习”<一世>第二十六届国际人工智能联席会议的诉讼程序</一世>，pp.1879-1885，墨尔本，澳大利亚，2017年8月。<span class="reflinks">查看在：<a href="https://doi.org/10.24963/ijcai.2017/261">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Cost-effective%20active%20learning%20from%20diverse%20labelers&author=S.-J. Huang&author=J.-L. Chen&author=X. Mu&author=&author=Z.-H. Zhou" target="_blank">谷歌学术</a></span></li> <li id="B8">P. Cao, D. Zhao, and O. Zaiane，“一种用于不平衡数据学习的优化成本敏感的支持向量机”，刊于<一世>太平洋知识发现和数据挖掘会议的诉讼程序</一世>，pp.280-292，新加坡，2013年5月。<span class="reflinks">查看在：<a href="https://doi.org/10.1007/978-3-642-37456-2_24">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=An%20optimized%20cost-sensitive%20SVM%20for%20imbalanced%20data%20learning&author=P. Cao&author=D. Zhao&author=&author=O. Zaiane" target="_blank">谷歌学术</a></span></li> <li id="B9">X. Hong，S. Chen和C. J. Harris，“基于内核的两性分类器，用于非衡度数据集，”<一世>神经网络上的IEEE交易</一世>第18卷第2期1，页28-41,2007。<span class="reflinks">查看在：<a href="https://doi.org/10.1109/tnn.2006.882812">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=A%20kernel-based%20two-class%20classifier%20for%20imbalanced%20data%20sets&author=X. Hong&author=S. Chen&author=&author=C. J. Harris&publication_year=2007" target="_blank">谷歌学术</a></span></li> <li id="B10">Liu H.， M. Zhou, and Q. Liu，“一种用于非平衡数据分类的嵌入式特征选择方法”，<一世>IEEE / CAA自动的SINICA</一世>，第6卷，第2期3，pp。703-715,2019。<span class="reflinks">查看在：<a href="https://doi.org/10.1109/jas.2019.1911447">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=An%20embedded%20feature%20selection%20method%20for%20imbalanced%20data%20classification&author=H. Liu&author=M. Zhou&author=&author=Q. Liu&publication_year=2019" target="_blank">谷歌学术</a></span></li> <li id="B11">a . Akkasi, E. Varoğlu，和N. Dimililer，“平衡的欠采样:一种基于句子的欠采样方法，以提高化学和生物医学文本中命名实体的识别，”<一世>应用智力</一世>，卷。48，不。8，pp。1965-1978,2018。<span class="reflinks">查看在：<a href="https://doi.org/10.1007/s10489-017-0920-5">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Balanced%20undersampling:%20a%20novel%20sentence-based%20undersampling%20method%20to%20improve%20recognition%20of%20named%20entities%20in%20chemical%20and%20biomedical%20text&author=A. Akkasi&author=E. Varoğlu&author=&author=N. Dimililer&publication_year=2018" target="_blank">谷歌学术</a></span></li> <li id="B12">Lin W.， Xu D.，“非平衡多标记学习识别抗菌肽及其功能类型”，<一世>生物信息学</一世>，卷。32，不。24，pp。3745-3752,2016。<span class="reflinks">查看在：<a href="https://doi.org/10.1093/bioinformatics/btw560">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Imbalanced%20multi-label%20learning%20for%20identifying%20antimicrobial%20peptides%20and%20their%20functional%20types&author=W. Lin &author=D. Xu&publication_year=2016" target="_blank">谷歌学术</a></span></li> <li id="B13">M. Galar，A.Fernandez，E. Barrenechea，H. Bustince和F. Herrera，“关于类别不平衡问题的合奏综述：Bagging-，促进和基于混合的方法，”<一世>IEEE在C组，MAN和Cyber Netics上的IEEE交易（申请和评论）</一世>，卷。42，不。4，pp。463-484，2011。<span class="reflinks">查看在：<a href="https://doi.org/10.1109/tsmcc.2011.2161285">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=A%20review%20on%20ensembles%20for%20the%20class%20imbalance%20problem:%20bagging-,%20boosting-,%20and%20hybrid-based%20approaches&author=M. Galar&author=A. Fernandez&author=E. Barrenechea&author=H. Bustince&author=&author=F. Herrera&publication_year=2011" target="_blank">谷歌学术</a></span></li> <li id="B14">Q.康，X.陈，李和M. Zhou，“Zhou”的噪声过滤的底层抽样计划，用于不平衡分类，“<一世>Cyebericics上的IEEE交易</一世>，第47卷，第47期。12, pp. 4263-4274, 2017。<span class="reflinks">查看在：<a href="https://doi.org/10.1109/tcyb.2016.2606104">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=A%20noise-filtered%20under-sampling%20Scheme%20for%20imbalanced%20classification&author=Q. Kang&author=X. Chen&author=S. Li&author=&author=M. Zhou&publication_year=2017" target="_blank">谷歌学术</a></span></li> <li id="B15">H. Ryang和U. Yun， " Top-<一世>K.</一世>具有有效阈值提升策略的高效用模式挖掘<一世>以知识为基础的系统</一世>，卷。76，pp。109-126,2015。<span class="reflinks">查看在：<a href="https://doi.org/10.1016/j.knosys.2014.12.010">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Top-k%20high%20utility%20pattern%20mining%20with%20effective%20threshold%20raising%20strategies&author=H. Ryang &author=U. Yun&publication_year=2015" target="_blank">谷歌学术</a></span></li> <li id="B16">S. Zida，P. fournier-primer，J.C. -W。林，C. -w。吴和五，曾，“efim：一种快速和记忆高效的高实用项目集矿业算法，”<一世>知识和信息系统</一世>第51卷第1期2, pp. 595-625, 2017。<span class="reflinks">查看在：<a href="https://doi.org/10.1007/s10115-016-0986-0">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=EFIM:%20a%20fast%20and%20memory%20efficient%20algorithm%20for%20high-utility%20itemset%20mining&author=S. Zida&author=P. Fournier-Viger&author=J. C.-W. Lin&author=C.-W. Wu&author=&author=V. S. Tseng&publication_year=2017" target="_blank">谷歌学术</a></span></li> <li id="B17">C. W. Wu，B.-e.Shie，V.S. Tseng和P. S. Yu，“挖掘顶部 -<一世>K.</一世>高实用项目集，“<一世>第十八届ACM SIGKDD知识发现与数据挖掘国际会议论文集</一世>，页78-86，纽约，纽约，美国，2012年8月。<span class="reflinks">查看在：<a href="https://doi.org/10.1145/2339530.2339546">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Mining%20top-K%20high%20utility%20itemsets&author=C. W. Wu&author=B.-E. Shie&author=V. S. Tseng&author=&author=P. S. Yu" target="_blank">谷歌学术</a></span></li> <li id="B18">K. Chen，B.-L.Lu和J.T.Kwok，“使用MIN-MAX模块分类器”高效分类多标签和不平衡数据“，”<一世>2006年IEEE国际神经网络诉讼联席会议的诉讼程序</一世>，第1770-1775页，加拿大温哥华，2006年7月。<span class="reflinks">查看在：<a href="https://doi.org/10.1109/ijcnn.2006.246893">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Efficient%20classification%20of%20multi-label%20and%20imbalanced%20data%20using%20min-max%20modular%20classifiers&author=K. Chen&author=B.-L. Lu&author=&author=J. T. Kwok" target="_blank">谷歌学术</a></span></li> <li id="B19">S. WAN，Y. Duan和Q. Zou，“HPSLPRED：用于人类蛋白质亚细胞位置预测的合奏多标签分类器，具有不平衡的来源，”<一世>蛋白质组学</一世>，第十七卷，第二期17-18，文章ID 1700262, 2017。<span class="reflinks">查看在：<a href="https://doi.org/10.1002/pmic.201700262">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=HPSLPred:%20an%20ensemble%20multi-label%20classifier%20for%20human%20protein%20subcellular%20location%20prediction%20with%20imbalanced%20source&author=S. Wan&author=Y. Duan&author=&author=Q. Zou&publication_year=2017" target="_blank">谷歌学术</a></span></li> <li id="B20">M.A.Tahir，J.Cakler和F. Yan，“在抽样中的反随机”，为类别不平衡问题及其应用于多标签分类，“<一世>模式识别</一世>，卷。45，不。10，pp。3738-3750,2012。<span class="reflinks">查看在：<a href="https://doi.org/10.1016/j.patcog.2012.03.014">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Inverse%20random%20under%20sampling%20for%20class%20imbalance%20problem%20and%20its%20application%20to%20multi-label%20classification&author=M. A. Tahir&author=J. Kittler&author=&author=F. Yan&publication_year=2012" target="_blank">谷歌学术</a></span></li> <li id="B21">S. Dendamrongvit和M. Kubat，“不平衡训练集和多标签文本分类领域的归纳的欠采样方法”，发表于《中文摘要》<一世>太平洋知识发现和数据挖掘会议的诉讼程序</一世>，pp.40-52，博加国，泰国，2009年。<span class="reflinks">查看在：<a href="https://doi.org/10.1007/978-3-642-14640-4_4">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Undersampling%20approach%20for%20imbalanced%20training%20sets%20and%20induction%20from%20multi-label%20text-categorization%20domains&author=S. Dendamrongvit &author=M. Kubat" target="_blank">谷歌学术</a></span></li> <li id="B22">S. Godbole和S. Sarawagi，“多标记分类的鉴别方法”，刊于<一世>太平洋知识发现和数据挖掘会议的诉讼程序</一世>，页22-30，澳大利亚悉尼，2004年5月。<span class="reflinks">查看在：<a href="https://doi.org/10.1007/978-3-540-24775-3_5">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Discriminative%20methods%20for%20multi-labeled%20classification&author=S. Godbole &author=S. Sarawagi" target="_blank">谷歌学术</a></span></li> <li id="B23">>。张，y.-k。李，x.-y.刘，“走向类别 - 不平衡的多标签学习，”<一世>第二十四届国际人工智能联席会议的诉讼程序</一世>，第4041-4047页，魁北克市，加拿大，2015。<span class="reflinks">查看在：<a href="https://scholar.google.com/scholar_lookup?title=Towards%20class-imbalance%20aware%20multi-label%20learning&author=M.-L. Zhang&author=Y.-K. Li&author=&author=X.-Y. Liu" target="_blank">谷歌学术</a></span></li> <li id="B24">F. Charte，A. Rivera，M. J. del Jesus和F. Herrera，“在多标签数据集中处理不平衡的第一种方法”<一世>国际混合人工智能系统会议论文集</一世>，第150-160页，萨拉曼卡，西班牙，2013年9月。<span class="reflinks">查看在：<a href="https://doi.org/10.1007/978-3-642-40846-5_16">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=A%20first%20approach%20to%20deal%20with%20imbalance%20in%20multi-label%20datasets&author=F. Charte&author=A. Rivera&author=M. J. del Jesus&author=&author=F. Herrera" target="_blank">谷歌学术</a></span></li> <li id="B25">F. Charte，A. J. Rivera，M. J. del Jesus和F. Herrera，“解决了Multilabel分类的不平衡：措施和随机重采样算法”<一世>Neurocomputing</一世>，第163卷，第3-16页，2015。<span class="reflinks">查看在：<a href="https://doi.org/10.1016/j.neucom.2014.08.091">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Addressing%20imbalance%20in%20multilabel%20classification:%20measures%20and%20random%20resampling%20algorithms&author=F. Charte&author=A. J. Rivera&author=M. J. del Jesus&author=&author=F. Herrera&publication_year=2015" target="_blank">谷歌学术</a></span></li> <li id="B26">N. Japkowicz和S. Stephen，《阶级失衡问题:系统研究》<一世>智能数据分析</一世>，第6卷，第2期5，页429-449,2002。<span class="reflinks">查看在：<a href="https://doi.org/10.3233/ida-2002-6504">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=The%20class%20imbalance%20problem:%20a%20systematic%20study1&author=N. Japkowicz &author=S. Stephen&publication_year=2002" target="_blank">谷歌学术</a></span></li> <li id="B27">F. Charte，A. J.Verrai，M. J. del Jesus和F. Herrera，“在不平衡的Mutilabel数据集中处理困难的少数群体标签，”<一世>Neurocomputing</一世>，第326-327卷，第39-53页，2019年1月。<span class="reflinks">查看在：<a href="https://doi.org/10.1016/j.neucom.2016.08.158">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Dealing%20with%20difficult%20minority%20labels%20in%20imbalanced%20mutilabel%20data%20sets&author=F. Charte&author=A. J. Rivera&author=M. J. del Jesus&author=&author=F. Herrera&publication_year=Jan. 2019" target="_blank">谷歌学术</a></span></li> <li id="B28">F. Charte, A. J. Rivera, M. J. del Jesus，和F. Herrera，“补救- hwr:通过标签解耦和数据重采样杂交解决多标签不平衡”，<一世>Neurocomputing</一世>，卷。326-327，第110-122,2019。<span class="reflinks">查看在：<a href="https://doi.org/10.1016/j.neucom.2017.01.118">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=REMEDIAL-HwR:%20tackling%20multilabel%20imbalance%20through%20label%20decoupling%20and%20data%20resampling%20hybridization&author=F. Charte&author=A. J. Rivera&author=M. J. del Jesus&author=&author=F. Herrera&publication_year=2019" target="_blank">谷歌学术</a></span></li> <li id="B29">F. Charte，A. Rivera，M. J. del Jesus和F. Herrera，“在Mutbalanced标签中同时发生及其对Multilabel重新采样算法的影响”<一世>国际混合人工智能系统会议论文集</一世>，pp.110-121，西班牙萨拉曼卡，2014年6月。<span class="reflinks">查看在：<a href="https://doi.org/10.1007/978-3-319-07617-1_10">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=Concurrence%20among%20imbalanced%20labels%20and%20its%20influence%20on%20multilabel%20resampling%20algorithms&author=F. Charte&author=A. Rivera&author=M. J. del Jesus&author=&author=F. Herrera" target="_blank">谷歌学术</a></span></li> <li id="B30">G. Madjarov，D. Kocev，D.Gjorgjevikj，以及S.džeroski，“多标牌学习方法的广泛实验比较”<一世>模式识别</一世>，卷。45，不。9，pp。3084-3104,2012。<span class="reflinks">查看在：<a href="https://doi.org/10.1016/j.patcog.2012.03.004">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=An%20extensive%20experimental%20comparison%20of%20methods%20for%20multi-label%20learning&author=G. Madjarov&author=D. Kocev&author=D. Gjorgjevikj&author=&author=S. Džeroski&publication_year=2012" target="_blank">谷歌学术</a></span></li> <li id="B31">G. Tsoumakas, E. Spyromitros-Xioufis, J. Vilcek, and I. Vlahavas， " Mulan:一个用于多标签学习的java库，"<一世>机床学习研究</一世>，卷。12，pp。2411-2414，2011。<span class="reflinks">查看在：<a href="https://scholar.google.com/scholar_lookup?title=Mulan:%20a%20java%20library%20for%20multi-label%20learning&author=G. Tsoumakas&author=E. Spyromitros-Xioufis&author=J. Vilcek&author=&author=I. Vlahavas&publication_year=2011" target="_blank">谷歌学术</a></span></li> <li id="B32">F. Charte，A. Rivera，M. J. del Jesus和F. Herrera，“关于数据集复杂性和采样策略在多拉拉带分类器表现中的影响，”<一世>国际混合人工智能系统会议论文集</一世>，第500-511页，西班牙塞维利亚，2016年4月。<span class="reflinks">查看在：<a href="https://scholar.google.com/scholar_lookup?title=On%20the%20impact%20of%20dataset%20complexity%20and%20sampling%20strategy%20in%20multilabel%20classifiers%20performance&author=F. Charte&author=A. Rivera&author=M. J. del Jesus&author=&author=F. Herrera" target="_blank">谷歌学术</a></span></li> <li id="B33">>。张和Z.-H。周，“multi-label learning的懒惰学习方法”，<一世>模式识别</一世>，卷。40，不。7，pp。2038-2048，2007。<span class="reflinks">查看在：<a href="https://doi.org/10.1016/j.patcog.2006.12.019">出版商网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=ML-KNN:%20A%20lazy%20learning%20approach%20to%20multi-label%20learning&author=M.-L. Zhang &author=Z.-H. Zhou&publication_year=2007" target="_blank">谷歌学术</a></span></li> </ol> </div> <div class="xml-content"> <h4 class="copyright" id="copyright">版权</h4> <p>版权所有©2020 Shuyue Zhou等人。这是分布下的开放式访问文章<a rel="license" href="http://creativecommons.org/licenses/by/4.0/">知识共享署名许可协议</a>如果正确引用了原始工作，则允许在任何媒体中的不受限制使用，分发和再现。</p> </div> </div> </article> </div> </div> </div> <div class="biblio__Wrapper-sc-1nou1lz-0 eyHfWh journal_article__BiblioIntegratorWidget-sc-12fk6zy-5 dbAANp article_widget biblioWrapper hide"> <hr> <h4 class="biblio__H4-sc-1nou1lz-2 kgAKHb hrTitleRef">更多相关文章</h4> <div id="biblio_widget" class="biblio__BiblioWrapper-sc-1nou1lz-1 RnBiz"></div> </div> </div> </div> <div class="threeColumn__RightWrapper-sc-1bf4078-2 jzTMLK rightWrapper" id="rightSectionMenu"> <div> <div class="journal_article__ArticleStickyTopToolbar-sc-12fk6zy-0 gbrQxi article_sticky_top_toolbar"> <div class="sc-dxZgTM lwEtq article_top_toolbar"> <a class="sc-htpNat bUhGXt link sc-gFaPwZ hoOvRq sc-iomxrj fOYLEe pdf_desktop button__group" href="//www.newsama.com/downloads/journals/sp/2020/8829432.pdf" aria-label="" target="_blank" id="toolbar__dcNavSmall"><span><img alt="" class="sc-EHOje jOLhQl sc-fhYwyz ieulRf" title="" role="presentation" src="https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/node_modules/hindawi-ui/src/icon/svg/pdf.svg" height="24"><span class="text">PDF.</span></span><span class="sc-htoDjs bqeMOy sc-jzgbtB bcxtxQ fileArrow icon-colored _3P4iUn1NDM5G77nWCamJ4l icon-themeable" title="" font-size="20"></span></a> <a class="sc-htpNat bUhGXt link sc-gFaPwZ hoOvRq sc-dvCyap gEbQUn ref_desktop" href="//www.newsama.com/journals/sp/2020/8829432.ris" aria-label="" target="" id="toolbar__dcNavLarge"><span><img alt="" class="sc-EHOje jOLhQl sc-fhYwyz ieulRf" title="" role="presentation" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHhtbG5zOnhsaW5rPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5L3hsaW5rIiB3aWR0aD0iMTgiIGhlaWdodD0iMjIiIHZpZXdCb3g9IjAgMCAxOCAyMiI+PGRlZnM+PGNsaXBQYXRoIGlkPSJhIj48cGF0aCBkPSJNMywyMmEzLDMsMCwwLDEtMy0zVjNBMywzLDAsMCwxLDMsMGg4YS45OTEuOTkxLDAsMCwxLC41NzMuMTgxbDAsMCwuMDA4LjAwNmEuOTU1Ljk1NSwwLDAsMSwuMTIyLjFsNiw2YTEuMDI1LDEuMDI1LDAsMCwxLC4xLjEyMmwuMDA2LjAxLDAsMEExLDEsMCwwLDEsMTgsNi45NzVWMTlhMywzLDAsMCwxLTMsM1pNMiwzVjE5YTEsMSwwLDAsMCwxLDFIMTVhMSwxLDAsMCwwLDEtMVY4SDExYTEsMSwwLDAsMS0xLTFWMkgzQTEsMSwwLDAsMCwyLDNaTTEyLDZoMi41ODdMMTIsMy40MTRaTTUsMTdhMSwxLDAsMSwxLDAtMmg4YTEsMSwwLDEsMSwwLDJabTAtNGExLDEsMCwxLDEsMC0yaDhhMSwxLDAsMSwxLDAsMlpNNSw5QTEsMSwwLDEsMSw1LDdIN0ExLDEsMCwwLDEsNyw5WiIgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoMyAxKSIvPjwvY2xpcFBhdGg+PC9kZWZzPjxnIHRyYW5zZm9ybT0idHJhbnNsYXRlKC0zIC0xKSI+PHBhdGggZD0iTTMsMjJhMywzLDAsMCwxLTMtM1YzQTMsMywwLDAsMSwzLDBoOGEuOTkxLjk5MSwwLDAsMSwuNTczLjE4MWwwLDAsLjAwOC4wMDZhLjk1NS45NTUsMCwwLDEsLjEyMi4xbDYsNmExLjAyNSwxLjAyNSwwLDAsMSwuMS4xMjJsLjAwNi4wMSwwLDBBMSwxLDAsMCwxLDE4LDYuOTc1VjE5YTMsMywwLDAsMS0zLDNaTTIsM1YxOWExLDEsMCwwLDAsMSwxSDE1YTEsMSwwLDAsMCwxLTFWOEgxMWExLDEsMCwwLDEtMS0xVjJIM0ExLDEsMCwwLDAsMiwzWk0xMiw2aDIuNTg3TDEyLDMuNDE0Wk01LDE3YTEsMSwwLDEsMSwwLTJoOGExLDEsMCwxLDEsMCwyWm0wLTRhMSwxLDAsMSwxLDAtMmg4YTEsMSwwLDEsMSwwLDJaTTUsOUExLDEsMCwxLDEsNSw3SDdBMSwxLDAsMCwxLDcsOVoiIHRyYW5zZm9ybT0idHJhbnNsYXRlKDMgMSkiLz48ZyBjbGlwLXBhdGg9InVybCgjYSkiPjxyZWN0IHdpZHRoPSIyNCIgaGVpZ2h0PSIyNCIgZmlsbD0icmdiYSgwLDAsMCwwKSIvPjxyZWN0IHdpZHRoPSIyNCIgaGVpZ2h0PSIyNCIvPjwvZz48L2c+PC9zdmc+" height="24"><span class="text">下载引用</span></span><span class="sc-htoDjs bqeMOy sc-jzgbtB bcxtxQ fileArrow icon-colored _3P4iUn1NDM5G77nWCamJ4l icon-themeable" title="" font-size="20"></span></a> <a class="sc-htpNat bUhGXt link sc-gFaPwZ hoOvRq sc-iFMziU bGHCWJ ref_desktop" href="//www.newsama.com/journals/sp/2020/8829432.ris" aria-label="" target="" id="toolbar__dcNavSmall"><span><img alt="" class="sc-EHOje jOLhQl sc-fhYwyz ieulRf" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"><span class="text">引用</span></span><span class="sc-htoDjs bqeMOy sc-jzgbtB bcxtxQ fileArrow icon-colored _3P4iUn1NDM5G77nWCamJ4l icon-themeable" title="" font-size="20"></span></a> </div> </div> <div class="journal_article__ArticleStickyBottomToolbar-sc-12fk6zy-1 isgRZA article_sticky_bottom_toolbar"> <div class="sc-drKuOJ cBpQvD article_bottom_toolbar"> <div class="sc-gRnDUn cZpOzA accordion" property="background-color" color="#D8D8D8" id="toolbar__dofNav"> <span><img alt="" class="sc-EHOje jOLhQl sc-cHSUfg prPtb" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"><span class="sc-cugefK gzkcXu">下载其他格式</span><span class="sc-fnwBNb iaVowO">更多的</span></span> <span class="sc-htoDjs bMdQcY sc-cTjmhe jIQcJs icon-colored _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="11"></span> </div> <div class="sc-cmjSyW cpuiKr"> <a class="sc-htpNat bUhGXt link sc-sdtwF hnolyX open_panel" href="//www.newsama.com/downloads/journals/sp/2020/8829432.epub" aria-label="ePub" property="background-color" color="#D8D8D8"> <div class="sc-iYUSvU jmLwpf"> epub.</div><img alt="" class="sc-EHOje jOLhQl sc-cHSUfg prPtb" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"></a> <a class="sc-htpNat bUhGXt link sc-sdtwF hnolyX open_panel" href="//www.newsama.com/downloads/journals/sp/2020/8829432.xml" aria-label="XML" property="background-color" color="#D8D8D8"> <div class="sc-iYUSvU jmLwpf"> XML</div><img alt="" class="sc-EHOje jOLhQl sc-cHSUfg prPtb" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"></a> </div> <a class="sc-htpNat bUhGXt link sc-eAKXzc Lnbhf" href="//www.newsama.com/reprints/8829432/confirm" aria-label="Order Printed Copies" target="_blank" property="background-color" color="#D8D8D8" id="toolbar__opcNav"><span><img alt="" class="sc-EHOje jOLhQl sc-cHSUfg prPtb" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"><span class="sc-cugefK gzkcXu">订单打印副本</span><span class="sc-fnwBNb iaVowO">订单</span></span><span class="sc-htoDjs kNoiZu sc-cTjmhe jIQcJs right__icon icon-colored _32KP5uexH-Bgs7Kj8Gk1Tz icon-themeable" title="" font-size="16"></span></a> <div class="sc-cBdUnI blbVzE"> <div class="sc-exkUMo bzUZma"> <div> 意见<span>243.</span> </div> <div> 下载<span>137.</span> </div> </div> <div> <div class="sc-kcDeIU eatOFG"> <span class="__dimensions_badge_embed__" data-doi="10.1155/2020/8829432" data-style="small_circle"></span>引用</div> </div> </div> <nav class="sc-Rmtcm hZsedb sc-iNhVCk gOltjj" id="toolbar__iconNav"> <h3 class="sc-csuQGl idXHYp">分享文章</h3> <ul class="sc-bRBYWo keayzM"> <li class="iconBorder"><a class="sc-htpNat bUhGXt link" href="https://twitter.com/share?url=https://doi.org/10.1155/2020/8829432&via=Hindawi" aria-label="Sharing on Twitter" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje jOLhQl socialTwitter" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"></a></li> <li class="iconBorder"><a class="sc-htpNat bUhGXt link" href="https://www.linkedin.com/shareArticle/?url=https://doi.org/10.1155/2020/8829432" aria-label="Sharing on Linkedin" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje jOLhQl socialLinkedin" title="" role="presentation" src="https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/node_modules/hindawi-ui/src/icon/svg/socialLinkedin.svg" height="24"></a></li> <li class="iconBorder"><a class="sc-htpNat bUhGXt link" href="https://www.facebook.com/sharer/sharer.php?u=https://doi.org/10.1155/2020/8829432" aria-label="Sharing on Facebook" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje jOLhQl socialFacebook" title="" role="presentation" src="https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/node_modules/hindawi-ui/src/icon/svg/socialFacebook-HINDAWI.svg" height="24"></a></li> <li class="iconBorder"> <div class="wechat-container"> <img alt="" class="sc-EHOje jOLhQl socialWechat" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"> <div class="addthis_inline_share_toolbox"></div> </div></li> <li><a class="sc-htpNat bUhGXt link" href="mailto:?subject=A Decoupling and Bidirectional Resampling Method for Multilabel Classification of Imbalanced Data with Label Concurrence&body=https://doi.org/10.1155/2020/8829432" aria-label="Sharing on Mail" target="_blank"><img alt="" class="sc-EHOje jOLhQl socialMail" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"></a></li> </ul> </nav> </div> </div> <div class="biblio__Wrapper-sc-1nou1lz-0 cBTaXT journal_article__BiblioIntegratorSidebar-sc-12fk6zy-4 cYsVdk biblioWrapperRight biblioWrapper hide"> <hr> <h4 class="biblio__H4-sc-1nou1lz-2 kgAKHb hrTitleRef">相关文章</h4> <div id="biblio_sidebar" class="biblio__BiblioWrapper-sc-1nou1lz-1 RnBiz"></div> </div> </div> </div> </div> </div> </main> <footer class="sc-ckVGcZ bJWOrU"> <section class="sc-jKJlTe fVMBet"> <div class="sc-bZQynM bNmdOy E_HUmlU2Hj3PpkDmWzKPd primary__footer footer__bodypadding"> <div class="sc-eNQAEJ cxmqZh mobile"> 遵循我们:<Nav role="navigation" class="sc-kEYyzF bzVSCX"> <a class="sc-htpNat bUhGXt link sc-hMqMXs csdpbK" href="https://twitter.com/hindawi" aria-label="Twitter" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje TsaZF" title="" role="presentation" src="data:image/svg+xml;base64,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" height="40"></a> <a class="sc-htpNat bUhGXt link sc-hMqMXs csdpbK" href="https://www.linkedin.com/company/hindawilimited/" aria-label="LinkedIn" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje TsaZF" title="" role="presentation" src="data:image/svg+xml;base64,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" height="40"></a> <a class="sc-htpNat bUhGXt link sc-hMqMXs csdpbK" href="https://www.youtube.com/channel/UCDIK_O7FATPEkhad_sQVaSg" aria-label="Youtube" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje TsaZF" title="" role="presentation" src="data:image/svg+xml;base64,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" height="40"></a> <a class="sc-htpNat bUhGXt link sc-hMqMXs csdpbK" href="https://www.facebook.com/HindawiLimited/" aria-label="Facebook" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje TsaZF" title="" role="presentation" src="https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/node_modules/hindawi-ui/src/icon/svg/facebookDark.svg" height="40"></a> </nav> </div> <nav class="E_HUmlU2Hj3PpkDmWzKPd _3wm8FgzqRuRWouJG31YgKx" role="navigation"> <ul class="_2k5c8zEhMT-84kRD4oDgAz _1SoDWGr_FVsil9klRfjnhb"> <li><a class="sc-htpNat bUhGXt link about_us" href="//www.newsama.com/about/" aria-label="About us"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">关于我们</a></li> <li><a class="sc-htpNat bUhGXt link contact_us" href="//www.newsama.com/about/contact/" aria-label="Contact us"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">联系我们</a></li> <li><a class="sc-htpNat bUhGXt link partnerships" href="//www.newsama.com/publishing-partnerships/" aria-label="Partnerships"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">合作伙伴关系</a></li> <li><a class="sc-htpNat bUhGXt link blog" href="//www.newsama.com/blog/" aria-label="Blog"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">博客</a></li> </ul> <ul class="_2k5c8zEhMT-84kRD4oDgAz _1SoDWGr_FVsil9klRfjnhb"> <li><a class="sc-htpNat bUhGXt link journals" href="//www.newsama.com/journals/" aria-label="Journals"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">期刊</a></li> <li><a class="sc-htpNat bUhGXt link article_processing_charges" href="//www.newsama.com/publish-research/authors/article-processing-charges/" aria-label="Article Processing Charges"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">文章处理费用</a></li> <li><a class="sc-htpNat bUhGXt link print_editions" href="//www.newsama.com/print-editions/" aria-label="Print editions"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">打印版本</a></li> </ul> <ul class="_2k5c8zEhMT-84kRD4oDgAz _1SoDWGr_FVsil9klRfjnhb"> <li><a class="sc-htpNat bUhGXt link authors" href="//www.newsama.com/publish-research/authors/" aria-label="Authors"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">作者</a></li> <li><a class="sc-htpNat bUhGXt link editors" href="//www.newsama.com/publish-research/editors/" aria-label="Editors"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHhtbG5zOnhsaW5rPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5L3hsaW5rIiB3aWR0aD0iOCIgaGVpZ2h0PSIxNCIgdmlld0JveD0iMCAwIDggMTQiPjxkZWZzPjxjbGlwUGF0aCBpZD0iYSI+PHBhdGggZD0iTTcsMi40MTRsNS4yOTMsNS4yOTNhMSwxLDAsMSwwLDEuNDE0LTEuNDE0bC02LTZhMSwxLDAsMCwwLTEuNDE0LDBsLTYsNkExLDEsMCwwLDAsMS43MDcsNy43MDdaIiB0cmFuc2Zvcm09InRyYW5zbGF0ZSg1IDgpIi8+PC9jbGlwUGF0aD48L2RlZnM+PGcgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoLTggMTkpIHJvdGF0ZSgtOTApIj48cGF0aCBkPSJNNywyLjQxNGw1LjI5Myw1LjI5M2ExLDEsMCwxLDAsMS40MTQtMS40MTRsLTYtNmExLDEsMCwwLDAtMS40MTQsMGwtNiw2QTEsMSwwLDAsMCwxLjcwNyw3LjcwN1oiIHRyYW5zZm9ybT0idHJhbnNsYXRlKDUgOCkiLz48ZyBjbGlwLXBhdGg9InVybCgjYSkiPjxyZWN0IHdpZHRoPSIyNCIgaGVpZ2h0PSIyNCIgZmlsbD0icmdiYSgwLDAsMCwwKSIvPjxyZWN0IHdpZHRoPSIyNCIgaGVpZ2h0PSIyNCIgZmlsbD0iIzZiYTQzOSIvPjwvZz48L2c+PC9zdmc+" height="14">编辑</a></li> <li><a class="sc-htpNat bUhGXt link reviewers" href="//www.newsama.com/publish-research/reviewers/" aria-label="Reviewers"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">审稿人员</a></li> </ul> <ul class="_2k5c8zEhMT-84kRD4oDgAz _1SoDWGr_FVsil9klRfjnhb"> <li><a class="sc-htpNat bUhGXt link hindawi_xml_corpus" href="//www.newsama.com/hindawi-xml-corpus/" aria-label="Hindawi XML Corpus"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">雷电竞APP</a></li> <li><a class="sc-htpNat bUhGXt link open_archives_initiative" href="//www.newsama.com/open-archives-initiative/" aria-label="Open Archives Initiative"><img alt="" class="sc-EHOje fknadA" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">开放档案倡议</a></li> </ul> </nav> <div class="sc-eNQAEJ cxmqZh desktop"> 遵循我们:<Nav role="navigation" class="sc-kEYyzF bzVSCX"> <a class="sc-htpNat bUhGXt link sc-hMqMXs csdpbK" href="https://twitter.com/hindawi" aria-label="Twitter" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje TsaZF" title="" role="presentation" src="data:image/svg+xml;base64,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" height="40"></a> <a class="sc-htpNat bUhGXt link sc-hMqMXs csdpbK" href="https://www.linkedin.com/company/hindawilimited/" aria-label="LinkedIn" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje TsaZF" title="" role="presentation" src="data:image/svg+xml;base64,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" height="40"></a> <a class="sc-htpNat bUhGXt link sc-hMqMXs csdpbK" href="https://www.youtube.com/channel/UCDIK_O7FATPEkhad_sQVaSg" aria-label="Youtube" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje TsaZF" title="" role="presentation" src="data:image/svg+xml;base64,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" height="40"></a> <a class="sc-htpNat bUhGXt link sc-hMqMXs csdpbK" href="https://www.facebook.com/HindawiLimited/" aria-label="Facebook" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje TsaZF" title="" role="presentation" src="https://static-01.hindawi.com/next_assets/L6Wc4-purEE9eG7SmNos9/_next/static/node_modules/hindawi-ui/src/icon/svg/facebookDark.svg" height="40"></a> </nav> </div> </div> </section> <div class="sc-bZQynM bNmdOy"> <section class="sc-kkGfuU ebwWJp E_HUmlU2Hj3PpkDmWzKPd"> <span class="_2k5c8zEhMT-84kRD4oDgAz _3YBvMs82CMJ-uNoH7JwwWl"><a class="sc-htpNat bUhGXt link" href="//www.newsama.com/privacy/" aria-label="Privacy Policy">隐私政策 |</a><a class="sc-htpNat bUhGXt link" href="//www.newsama.com/terms/" aria-label="Terms of Service">服务条款 |</a><a class="sc-htpNat bUhGXt link" href="//www.newsama.com/responsible-disclosure-policy/" aria-label="Responsible Disclosure Policy">负责任的披露政策 |</a><a class="sc-htpNat bUhGXt link" href="//www.newsama.com/cookie-policy/" aria-label="Cookie Policy">饼干的政策 |</a><a class="sc-htpNat bUhGXt link" href="//www.newsama.com/copyright/" aria-label="Copyright">版权</a></span> </section> </div> </footer> <div class="sc-guztPN fbNqBY advWrapper hideBanner"> <span><p>我们致力于尽可能快地分享与Covid-19相关的结果。我们将为已接受的研究文章提供无限的出版费用豁免，以及与Covid-19相关的报告和案例系列。评论文章被排除在此豁免政策之外。<a href="https://docs.google.com/forms/d/e/1FAIpQLSf7MILluJtO9xV2QXznWVd66UQU4puow4wSk7iwLz7iYcykfA/viewform">注册在这里</a>作为评论员，帮助快速跟踪新的提交。</p></span> <button class="sc-hcnlBt xJPtD"><img alt="" class="sc-EHOje iiusBg sc-hkbPbT gLaWXk" title="" role="presentation" src="data:image/svg+xml;base64,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" height="16"></button> </div> </div> </div> <noscript> <iframe src="https://www.newsama.com/ns.html?id=GTM-MQ4MGW" height="0" width="0" style="display:none;visibility:hidden"></iframe> </noscript> </div> </body> </html>