{"id":85708,"date":"2026-07-27T21:24:32","date_gmt":"2026-07-27T13:24:32","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/85708.html"},"modified":"2026-07-27T21:24:32","modified_gmt":"2026-07-27T13:24:32","slug":"%e5%9b%be%e5%83%8f%e8%af%84%e4%bc%b0%e6%96%b9%e6%b3%95-fid-%e7%9a%84%e5%85%b7%e4%bd%93%e5%ae%9e%e7%8e%b0%e5%8e%9f%e7%90%86%e4%b8%8e%e4%bb%a3%e7%a0%81%e5%ae%9e%e7%8e%b0","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/85708.html","title":{"rendered":"\u56fe\u50cf\u8bc4\u4f30\u65b9\u6cd5 FID \u7684\u5177\u4f53\u5b9e\u73b0\u539f\u7406\u4e0e\u4ee3\u7801\u5b9e\u73b0"},"content":{"rendered":"<h3>\u4e00\u3001FID \u5b8c\u6574\u539f\u7406<\/h3>\n<h4>1. \u7279\u5f81\u63d0\u53d6\u539f\u7406<\/h4>\n<li>\u4f7f\u7528 ImageNet \u9884\u8bad\u7ec3\u7684 InceptionV3 \u4f5c\u4e3a\u56fa\u5b9a\u7279\u5f81\u63d0\u53d6\u5668<\/li>\n<li>\u79fb\u9664\u7f51\u7edc\u672b\u7aef\u5206\u7c7b\u5c42\u4e0e Softmax&#xff0c;\u622a\u53d6\u5012\u6570\u7b2c\u4e8c\u5c42&#xff08;Mixed_7c&#xff09;\u7279\u5f81\u56fe<\/li>\n<li>\u5bf9\u7279\u5f81\u56fe\u6267\u884c\u5168\u5c40\u5e73\u5747\u6c60\u5316&#xff0c;\u5c06\u4efb\u610f\u8f93\u5165\u56fe\u50cf\u6620\u5c04\u4e3a\u56fa\u5b9a\u7684 2048 \u7ef4\u5b9e\u6570\u7279\u5f81\u5411\u91cf<\/li>\n<li>\u5206\u522b\u5bf9\u771f\u5b9e\u56fe\u548c\u751f\u6210\u56fe\u6279\u91cf\u63d0\u53d6&#xff0c;\u5404\u81ea\u6784\u6210\u72ec\u7acb\u7279\u5f81\u6837\u672c\u96c6<\/li>\n<h4>2. \u5206\u5e03\u5efa\u6a21\u539f\u7406<\/h4>\n<li>\u6d77\u91cf\u56fe\u50cf\u7ecf InceptionV3 \u5f97\u5230\u7684 2048 \u7ef4\u7279\u5f81&#xff0c;\u7edf\u8ba1\u5206\u5e03\u8fd1\u4f3c\u670d\u4ece\u591a\u7ef4\u9ad8\u65af\u5206\u5e03<\/li>\n<li>\u591a\u7ef4\u9ad8\u65af\u5206\u5e03\u7531\u4e24\u4e2a\u53c2\u6570\u552f\u4e00\u786e\u5b9a&#xff1a;<\/li>\n<table>\n<tr>\u53c2\u6570\u8ba1\u7b97\u65b9\u5f0f\u8868\u5f81\u542b\u4e49<\/tr>\n<tbody>\n<tr>\n<td>\u5747\u503c\u5411\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u03bc<\/p>\n<p>          \\\\boldsymbol{\\\\mu}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6389em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">\u03bc<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u5168\u90e8\u6837\u672c\u9010\u7ef4\u7b97\u672f\u5e73\u5747<\/td>\n<td>\u7279\u5f81\u5206\u5e03\u7684\u4e2d\u5fc3\u4f4d\u7f6e<\/td>\n<\/tr>\n<tr>\n<td>\u534f\u65b9\u5dee\u77e9\u9635 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u03a3<\/p>\n<p>          \\\\Sigma<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u03a3<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u504f\u5dee\u5411\u91cf\u5916\u79ef\u6c42\u548c&#xff0c;\u5f52\u4e00\u5316<\/td>\n<td>\u7279\u5f81\u6563\u5e03\u8303\u56f4\u3001\u7ef4\u5ea6\u95f4\u7ebf\u6027\u76f8\u5173\u7a0b\u5ea6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<li>\u771f\u5b9e\u56fe\u548c\u751f\u6210\u56fe\u5404\u81ea\u5bf9\u5e94\u4e00\u4e2a\u72ec\u7acb\u7684\u9ad8\u65af\u5206\u5e03&#xff1a;\n<ul>\n<li>\u771f\u5b9e\u5206\u5e03&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           N<\/p>\n<p>           (<\/p>\n<p>            \u03bc<\/p>\n<p>            r<\/p>\n<p>           ,<\/p>\n<p>            \u03a3<\/p>\n<p>            r<\/p>\n<p>           )<\/p>\n<p>          \\\\mathcal{N}(\\\\boldsymbol{\\\\mu}_r, \\\\Sigma_r)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.1474em\">N<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">\u03bc<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.0573em\"><span class=\"\" style=\"top: -2.4559em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2441em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u751f\u6210\u5206\u5e03&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           N<\/p>\n<p>           (<\/p>\n<p>            \u03bc<\/p>\n<p>            g<\/p>\n<p>           ,<\/p>\n<p>            \u03a3<\/p>\n<p>            g<\/p>\n<p>           )<\/p>\n<p>          \\\\mathcal{N}(\\\\boldsymbol{\\\\mu}_g, \\\\Sigma_g)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1302em;vertical-align: -0.3802em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.1474em\">N<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">\u03bc<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.0573em\"><span class=\"\" style=\"top: -2.4559em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3802em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<h4>3. FID \u6570\u5b66\u8ba1\u7b97\u539f\u7406<\/h4>\n<p>FID \u662f\u4e24\u4e2a\u591a\u7ef4\u9ad8\u65af\u5206\u5e03\u7684 Wasserstein-2 \u8ddd\u79bb\u5e73\u65b9&#xff0c;\u5b58\u5728\u89e3\u6790\u95ed\u5f0f\u89e3&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         F<\/p>\n<p>         I<\/p>\n<p>         D<\/p>\n<p>         &#061;<\/p>\n<p>            \u2225<\/p>\n<p>             \u03bc<\/p>\n<p>             r<\/p>\n<p>            \u2212<\/p>\n<p>             \u03bc<\/p>\n<p>             g<\/p>\n<p>             \u2225<\/p>\n<p>             2<\/p>\n<p>             2<\/p>\n<p>           \u23df<\/p>\n<p>          \u4e2d\u5fc3\u4f4d\u7f6e\u8bef\u5dee<\/p>\n<p>         &#043;<\/p>\n<p>            Tr<\/p>\n<p>             (<\/p>\n<p>              \u03a3<\/p>\n<p>              r<\/p>\n<p>             &#043;<\/p>\n<p>              \u03a3<\/p>\n<p>              g<\/p>\n<p>             \u2212<\/p>\n<p>             2<\/p>\n<p>                \u03a3<\/p>\n<p>                r<\/p>\n<p>                \u03a3<\/p>\n<p>                g<\/p>\n<p>             )<\/p>\n<p>           \u23df<\/p>\n<p>          \u5206\u5e03\u5f62\u72b6\u8bef\u5dee<\/p>\n<p>        FID &#061; \\\\underbrace{\\\\|\\\\boldsymbol{\\\\mu}_r &#8211; \\\\boldsymbol{\\\\mu}_g\\\\|_2^2}_{\\\\text{\u4e2d\u5fc3\u4f4d\u7f6e\u8bef\u5dee}} &#043; \\\\underbrace{\\\\text{Tr}\\\\left(\\\\Sigma_r &#043; \\\\Sigma_g &#8211; 2\\\\sqrt{\\\\Sigma_r \\\\Sigma_g}\\\\right)}_{\\\\text{\u5206\u5e03\u5f62\u72b6\u8bef\u5dee}}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">F<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.5707em;vertical-align: -1.7066em\"><\/span><span class=\"mord munder\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -1.2934em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord cjk_fallback mtight\">\u4e2d\u5fc3\u4f4d\u7f6e\u8bef\u5dee<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord munder\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"svg-align\" style=\"top: -1.9718em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"stretchy\" style=\"height: 0.548em;min-width: 1.6em\"><span class=\"brace-left\" style=\"height: 0.548em\"><\/p>\n<p>                  <\/span><span class=\"brace-center\" style=\"height: 0.548em\"><\/p>\n<p>                  <\/span><span class=\"brace-right\" style=\"height: 0.548em\"><\/p>\n<p>                  <\/span><\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2225<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">\u03bc<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.0573em\"><span class=\"\" style=\"top: -2.4559em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2441em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">\u03bc<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.0573em\"><span class=\"\" style=\"top: -2.4559em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3802em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\">\u2225<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -2.453em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0282em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.7066em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.1264em;vertical-align: -1.9764em\"><\/span><span class=\"mord munder\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.15em\"><span class=\"\" style=\"top: -1.1736em\"><span class=\"pstrut\" style=\"height: 3.15em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord cjk_fallback mtight\">\u5206\u5e03\u5f62\u72b6\u8bef\u5dee<\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.15em\"><span class=\"pstrut\" style=\"height: 3.15em\"><\/span><span class=\"mord munder\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.15em\"><span class=\"svg-align\" style=\"top: -1.852em\"><span class=\"pstrut\" style=\"height: 3.15em\"><\/span><span class=\"stretchy\" style=\"height: 0.548em;min-width: 1.6em\"><span class=\"brace-left\" style=\"height: 0.548em\"><\/p>\n<p>                  <\/span><span class=\"brace-center\" style=\"height: 0.548em\"><\/p>\n<p>                  <\/span><span class=\"brace-right\" style=\"height: 0.548em\"><\/p>\n<p>                  <\/span><\/span><\/span><span class=\"\" style=\"top: -3.15em\"><span class=\"pstrut\" style=\"height: 3.15em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Tr<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size2\">(<\/span><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">2<\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9325em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.8925em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>                        <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3075em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size2\">)<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.298em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.9764em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h5>\u7b2c\u4e00\u9879&#xff1a;\u4e2d\u5fc3\u4f4d\u7f6e\u8bef\u5dee<\/h5>\n<ul>\n<li>\u8fd0\u7b97&#xff1a;\u4e24\u4e2a\u5747\u503c\u5411\u91cf\u9010\u7ef4\u505a\u5dee&#xff0c;\u5dee\u503c\u5e73\u65b9\u6c42\u548c&#xff08;L2 \u8303\u6570\u5e73\u65b9&#xff09;<\/li>\n<li>\u6570\u5b66\u542b\u4e49&#xff1a;\u91cf\u5316\u4e24\u4e2a\u9ad8\u65af\u5206\u5e03\u4e2d\u5fc3\u70b9\u7684\u6b27\u5f0f\u8ddd\u79bb&#xff0c;\u8868\u5f81\u5168\u5c40\u4f4d\u7f6e\u504f\u79fb<\/li>\n<li>\u8bed\u4e49\u89e3\u91ca&#xff1a;InceptionV3 \u7279\u5f81\u7f16\u7801\u4e86\u7269\u4f53\u7c7b\u522b\u3001\u5149\u7167\u3001\u8272\u5f69\u3001\u6784\u56fe\u7b49\u9ad8\u5c42\u8bed\u4e49&#xff0c;\u4e2d\u5fc3\u504f\u79fb &#061; \u4e24\u6279\u56fe\u6574\u4f53\u8bed\u4e49\u5747\u503c\u5b58\u5728\u504f\u5dee<\/li>\n<\/ul>\n<h5>\u7b2c\u4e8c\u9879&#xff1a;\u5206\u5e03\u5f62\u72b6\u8bef\u5dee<\/h5>\n<p>\u7531\u5185\u5411\u5916\u8fd0\u7b97&#xff1a;<\/p>\n<table>\n<tr>\u6b65\u9aa4\u8fd0\u7b97\u8bf4\u660e<\/tr>\n<tbody>\n<tr>\n<td>1<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u03a3<\/p>\n<p>            r<\/p>\n<p>            \u03a3<\/p>\n<p>            g<\/p>\n<p>          \\\\Sigma_r \\\\Sigma_g<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u534f\u65b9\u5dee\u77e9\u9635\u6807\u51c6\u4e58\u6cd5<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>              \u03a3<\/p>\n<p>              r<\/p>\n<p>              \u03a3<\/p>\n<p>              g<\/p>\n<p>          \\\\sqrt{\\\\Sigma_r \\\\Sigma_g}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.24em;vertical-align: -0.3564em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8836em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.8436em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3564em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u77e9\u9635\u5e73\u65b9\u6839&#xff08;\u6ee1\u8db3 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            M<\/p>\n<p>            2<\/p>\n<p>           &#061;<\/p>\n<p>            \u03a3<\/p>\n<p>            r<\/p>\n<p>            \u03a3<\/p>\n<p>            g<\/p>\n<p>          M^2 &#061; \\\\Sigma_r \\\\Sigma_g<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u6b63\u5b9a\u77e9\u9635 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           M<\/p>\n<p>          M<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><\/span>&#xff09;<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           2<\/p>\n<p>              \u03a3<\/p>\n<p>              r<\/p>\n<p>              \u03a3<\/p>\n<p>              g<\/p>\n<p>          2\\\\sqrt{\\\\Sigma_r \\\\Sigma_g}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.24em;vertical-align: -0.3564em\"><\/span><span class=\"mord\">2<\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8836em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.8436em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3564em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u5e73\u65b9\u6839\u77e9\u9635\u6574\u4f53\u4e58 2<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u03a3<\/p>\n<p>            r<\/p>\n<p>           &#043;<\/p>\n<p>            \u03a3<\/p>\n<p>            g<\/p>\n<p>          \\\\Sigma_r &#043; \\\\Sigma_g<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord\">\u03a3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u5bf9\u4f4d\u76f8\u52a0&#xff0c;\u4e24\u7ec4\u7279\u5f81\u603b\u6563\u5e03\u91cf<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>\u51cf\u6cd5<\/td>\n<td>\u5f97\u5230\u4ec5\u4fdd\u7559\u5dee\u5f02\u7684\u65b9\u9635<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           Tr<\/p>\n<p>           (<\/p>\n<p>           \u22c5<\/p>\n<p>           )<\/p>\n<p>          \\\\text{Tr}(\\\\cdot)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">Tr<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u22c5<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u8ff9\u8fd0\u7b97<\/td>\n<td>\u4e3b\u5bf9\u89d2\u7ebf\u6c42\u548c&#xff0c;2048\u00d72048 \u2192 \u5355\u4e2a\u6807\u91cf<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li>\u6570\u5b66\u542b\u4e49&#xff1a;\u91cf\u5316\u4e24\u4e2a\u534f\u65b9\u5dee\u77e9\u9635\u7684\u6574\u4f53\u5dee\u5f02&#xff0c;\u8868\u5f81\u6563\u5e03\u5f62\u6001\u3001\u79bb\u6563\u7a0b\u5ea6\u5dee\u5f02<\/li>\n<li>\u8bed\u4e49\u89e3\u91ca&#xff1a;\u534f\u65b9\u5dee\u63cf\u8ff0\u6837\u672c\u6ce2\u52a8\u8303\u56f4\u4e0e\u7ef4\u5ea6\u5173\u8054&#xff0c;\u8be5\u9879\u5bf9\u5e94\u4e24\u6279\u56fe\u591a\u6837\u6027\u548c\u7eb9\u7406\u5206\u5e03\u7684\u7edf\u8ba1\u504f\u5dee<\/li>\n<\/ul>\n<h4>4. \u6570\u503c\u5224\u5b9a\u539f\u7406<\/h4>\n<li>FID \u4e3a\u975e\u8d1f\u5b9e\u6570&#xff0c;\u4e24\u7ec4\u5206\u5e03\u5b8c\u5168\u4e00\u81f4\u65f6\u4e24\u9879\u5747\u4e3a 0&#xff0c;FID &#061; 0<\/li>\n<li>FID \u5355\u8c03\u9012\u589e\u5bf9\u5e94\u4e24\u7ec4\u56fe\u50cf\u7279\u5f81\u5206\u5e03\u5dee\u5f02\u6269\u5927<\/li>\n<table>\n<tr>FID\u542b\u4e49<\/tr>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>\u5b8c\u7f8e\u4e00\u81f4<\/td>\n<\/tr>\n<tr>\n<td>&lt; 10<\/td>\n<td>\u4f18\u79c0&#xff0c;\u63a5\u8fd1\u771f\u5b9e<\/td>\n<\/tr>\n<tr>\n<td>10~50<\/td>\n<td>\u53ef\u7528<\/td>\n<\/tr>\n<tr>\n<td>&gt; 50<\/td>\n<td>\u8d28\u91cf\u8f83\u5dee<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h4>5. \u5de5\u7a0b\u8ba1\u7b97\u539f\u7406<\/h4>\n<li>\u6279\u91cf\u8bfb\u53d6\u56fe\u50cf&#xff0c;\u7edf\u4e00\u7f29\u653e\u81f3 299\u00d7299&#xff08;InceptionV3 \u6807\u51c6\u8f93\u5165&#xff09;<\/li>\n<li>\u6279\u91cf\u524d\u5411\u63a8\u7406\u63d0\u53d6 2048 \u7ef4\u7279\u5f81&#xff0c;\u7f13\u5b58\u5168\u90e8\u7279\u5f81\u6837\u672c<\/li>\n<li>\u57fa\u4e8e\u7f13\u5b58\u7279\u5f81\u5206\u522b\u6c42\u89e3\u771f\u5b9e\u96c6\u3001\u751f\u6210\u96c6\u7684\u5747\u503c\u5411\u91cf\u4e0e\u534f\u65b9\u5dee\u77e9\u9635<\/li>\n<li>\u4ee3\u5165 Wasserstein-2 \u8ddd\u79bb\u95ed\u5f0f\u516c\u5f0f&#xff0c;\u8f93\u51fa\u6807\u91cf FID<\/li>\n<hr \/>\n<h3>\u4e8c\u3001\u5b8c\u6574\u53ef\u8fd0\u884c\u4ee3\u7801<\/h3>\n<h4>\u4f9d\u8d56\u5b89\u88c5<\/h4>\n<p>pip <span class=\"token function\">install<\/span> torch torchvision pillow numpy scipy<\/p>\n<h4>\u5b8c\u6574\u5b9e\u73b0<\/h4>\n<p><span class=\"token keyword\">import<\/span> os<br \/>\n<span class=\"token keyword\">import<\/span> argparse<br \/>\n<span class=\"token keyword\">import<\/span> numpy <span class=\"token keyword\">as<\/span> np<br \/>\n<span class=\"token keyword\">from<\/span> PIL <span class=\"token keyword\">import<\/span> Image<br \/>\n<span class=\"token keyword\">import<\/span> torch<br \/>\n<span class=\"token keyword\">import<\/span> torchvision<span class=\"token punctuation\">.<\/span>models <span class=\"token keyword\">as<\/span> models<br \/>\n<span class=\"token keyword\">import<\/span> torchvision<span class=\"token punctuation\">.<\/span>transforms <span class=\"token keyword\">as<\/span> transforms<br \/>\n<span class=\"token keyword\">from<\/span> scipy<span class=\"token punctuation\">.<\/span>linalg <span class=\"token keyword\">import<\/span> sqrtm<\/p>\n<p>device <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>device<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;cuda&#034;<\/span> <span class=\"token keyword\">if<\/span> torch<span class=\"token punctuation\">.<\/span>cuda<span class=\"token punctuation\">.<\/span>is_available<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token string\">&#034;cpu&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token comment\"># 1. \u6784\u5efa InceptionV3 \u7279\u5f81\u63d0\u53d6\u5668<\/span><br \/>\n<span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">build_inception_extractor<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u52a0\u8f7d\u9884\u8bad\u7ec3 InceptionV3&#xff0c;\u622a\u53d6 Mixed_7c \u5c42\u7684 2048 \u7ef4\u7279\u5f81&#034;&#034;&#034;<\/span><br \/>\n    <span class=\"token comment\"># \u517c\u5bb9\u65b0\u7248 torchvision \u6743\u91cd\u52a0\u8f7d&#xff08;pretrained&#061;True \u5df2\u5e9f\u5f03&#xff09;<\/span><br \/>\n    weights <span class=\"token operator\">&#061;<\/span> models<span class=\"token punctuation\">.<\/span>Inception_V3_Weights<span class=\"token punctuation\">.<\/span>IMAGENET1K_V1<br \/>\n    inception <span class=\"token operator\">&#061;<\/span> models<span class=\"token punctuation\">.<\/span>inception_v3<span class=\"token punctuation\">(<\/span>weights<span class=\"token operator\">&#061;<\/span>weights<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token comment\"># \u5173\u95ed\u8f85\u52a9\u5206\u7c7b\u5206\u652f&#xff0c;\u6d88\u9664\u5197\u4f59\u8ba1\u7b97<\/span><br \/>\n    inception<span class=\"token punctuation\">.<\/span>aux_logits <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">False<\/span><br \/>\n    inception<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">eval<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    feat_output <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">None<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">hook_fn<\/span><span class=\"token punctuation\">(<\/span>module<span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">input<\/span><span class=\"token punctuation\">,<\/span> output<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">nonlocal<\/span> feat_output<br \/>\n        feat_output <span class=\"token operator\">&#061;<\/span> output<\/p>\n<p>    handle <span class=\"token operator\">&#061;<\/span> inception<span class=\"token punctuation\">.<\/span>Mixed_7c<span class=\"token punctuation\">.<\/span>register_forward_hook<span class=\"token punctuation\">(<\/span>hook_fn<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">get_feature<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> feat_output<\/p>\n<p>    <span class=\"token keyword\">return<\/span> inception<span class=\"token punctuation\">,<\/span> handle<span class=\"token punctuation\">,<\/span> get_feature<\/p>\n<p><span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token comment\"># 2. \u56fe\u50cf\u9884\u5904\u7406<\/span><br \/>\n<span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\ntransform <span class=\"token operator\">&#061;<\/span> transforms<span class=\"token punctuation\">.<\/span>Compose<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><br \/>\n    transforms<span class=\"token punctuation\">.<\/span>Resize<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">299<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">299<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    transforms<span class=\"token punctuation\">.<\/span>ToTensor<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n    transforms<span class=\"token punctuation\">.<\/span>Normalize<span class=\"token punctuation\">(<\/span>mean<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0.485<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.456<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.406<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span><br \/>\n                         std<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0.229<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.224<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.225<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token comment\"># 3. \u6279\u91cf\u63d0\u53d6 2048 \u7ef4\u7279\u5f81<\/span><br \/>\n<span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">extract_all_features<\/span><span class=\"token punctuation\">(<\/span>img_dir<span class=\"token punctuation\">,<\/span> extractor<span class=\"token punctuation\">,<\/span> get_feat<span class=\"token punctuation\">,<\/span> batch_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u6279\u91cf\u63a8\u7406\u63d0\u53d6\u7279\u5f81&#xff0c;\u81ea\u52a8\u8df3\u8fc7\u635f\u574f\u56fe\u7247&#034;&#034;&#034;<\/span><br \/>\n    feat_list <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    valid_suffix <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;.jpg&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;.jpeg&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;.png&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    img_names <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span>f <span class=\"token keyword\">for<\/span> f <span class=\"token keyword\">in<\/span> os<span class=\"token punctuation\">.<\/span>listdir<span class=\"token punctuation\">(<\/span>img_dir<span class=\"token punctuation\">)<\/span><br \/>\n                 <span class=\"token keyword\">if<\/span> f<span class=\"token punctuation\">.<\/span>lower<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>endswith<span class=\"token punctuation\">(<\/span>valid_suffix<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u68c0\u6d4b\u5230 <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>img_names<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> \u5f20\u56fe\u7247&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">for<\/span> start_idx <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>img_names<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> batch_size<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        batch_imgs <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n        end_idx <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">min<\/span><span class=\"token punctuation\">(<\/span>start_idx <span class=\"token operator\">&#043;<\/span> batch_size<span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>img_names<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token keyword\">for<\/span> name <span class=\"token keyword\">in<\/span> img_names<span class=\"token punctuation\">[<\/span>start_idx<span class=\"token punctuation\">:<\/span>end_idx<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            img_path <span class=\"token operator\">&#061;<\/span> os<span class=\"token punctuation\">.<\/span>path<span class=\"token punctuation\">.<\/span>join<span class=\"token punctuation\">(<\/span>img_dir<span class=\"token punctuation\">,<\/span> name<span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token keyword\">try<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                img <span class=\"token operator\">&#061;<\/span> Image<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">open<\/span><span class=\"token punctuation\">(<\/span>img_path<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>convert<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;RGB&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                batch_imgs<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>transform<span class=\"token punctuation\">(<\/span>img<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token keyword\">except<\/span> Exception <span class=\"token keyword\">as<\/span> e<span class=\"token punctuation\">:<\/span><br \/>\n                <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u8df3\u8fc7\u635f\u574f\u56fe\u7247 <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>name<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>e<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n                <span class=\"token keyword\">continue<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span> <span class=\"token keyword\">not<\/span> batch_imgs<span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">continue<\/span><\/p>\n<p>        img_batch <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>stack<span class=\"token punctuation\">(<\/span>batch_imgs<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">with<\/span> torch<span class=\"token punctuation\">.<\/span>no_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            extractor<span class=\"token punctuation\">(<\/span>img_batch<span class=\"token punctuation\">)<\/span><\/p>\n<p>        feat_map <span class=\"token operator\">&#061;<\/span> get_feat<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>                                   <span class=\"token comment\"># [B, 2048, 8, 8]<\/span><br \/>\n        feat_vec <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>mean<span class=\"token punctuation\">(<\/span>feat_map<span class=\"token punctuation\">,<\/span> dim<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>cpu<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>numpy<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># [B, 2048]<\/span><br \/>\n        feat_list<span class=\"token punctuation\">.<\/span>extend<span class=\"token punctuation\">(<\/span>feat_vec<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u5df2\u5904\u7406 <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>end_idx<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">\/<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>img_names<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> np<span class=\"token punctuation\">.<\/span>array<span class=\"token punctuation\">(<\/span>feat_list<span class=\"token punctuation\">)<\/span>                                  <span class=\"token comment\"># [N, 2048]<\/span><\/p>\n<p><span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token comment\"># 4. \u8ba1\u7b97\u5747\u503c\u548c\u534f\u65b9\u5dee&#xff08;\u6709\u504f\u4f30\u8ba1&#xff0c;\u4e0e pytorch-fid \u5bf9\u9f50&#xff09;<\/span><br \/>\n<span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">calc_mu_sigma<\/span><span class=\"token punctuation\">(<\/span>features<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u4ece\u7279\u5f81\u77e9\u9635 [N, 2048] \u8ba1\u7b97\u9ad8\u65af\u5206\u5e03\u7684\u5747\u503c\u548c\u534f\u65b9\u5dee&#034;&#034;&#034;<\/span><br \/>\n    mu <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>mean<span class=\"token punctuation\">(<\/span>features<span class=\"token punctuation\">,<\/span> axis<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span>                              <span class=\"token comment\"># [2048]<\/span><br \/>\n    sigma <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>cov<span class=\"token punctuation\">(<\/span>features<span class=\"token punctuation\">,<\/span> rowvar<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span> bias<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span>           <span class=\"token comment\"># [2048, 2048]<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> mu<span class=\"token punctuation\">,<\/span> sigma<\/p>\n<p><span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token comment\"># 5. FID \u6838\u5fc3\u516c\u5f0f<\/span><br \/>\n<span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">calculate_fid<\/span><span class=\"token punctuation\">(<\/span>mu1<span class=\"token punctuation\">,<\/span> sigma1<span class=\"token punctuation\">,<\/span> mu2<span class=\"token punctuation\">,<\/span> sigma2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;Wasserstein-2 \u8ddd\u79bb\u5e73\u65b9 &#061; \u4e2d\u5fc3\u504f\u79fb &#043; \u5f62\u72b6\u5dee\u5f02&#034;&#034;&#034;<\/span><br \/>\n    <span class=\"token comment\"># \u7b2c\u4e00\u9879&#xff1a;\u5747\u503c L2 \u8303\u6570\u5e73\u65b9<\/span><br \/>\n    diff_mu <span class=\"token operator\">&#061;<\/span> mu1 <span class=\"token operator\">&#8211;<\/span> mu2<br \/>\n    term1 <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span>diff_mu <span class=\"token operator\">**<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u7b2c\u4e8c\u9879&#xff1a;\u534f\u65b9\u5dee\u8ff9\u90e8\u5206<\/span><br \/>\n    cov_product <span class=\"token operator\">&#061;<\/span> sigma1 &#064; sigma2<br \/>\n    cov_sqrt <span class=\"token operator\">&#061;<\/span> sqrtm<span class=\"token punctuation\">(<\/span>cov_product<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> np<span class=\"token punctuation\">.<\/span>iscomplexobj<span class=\"token punctuation\">(<\/span>cov_sqrt<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span>                               <span class=\"token comment\"># \u6d88\u9664\u6d6e\u70b9\u865a\u6570\u8bef\u5dee<\/span><br \/>\n        cov_sqrt <span class=\"token operator\">&#061;<\/span> cov_sqrt<span class=\"token punctuation\">.<\/span>real<br \/>\n    term2 <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>trace<span class=\"token punctuation\">(<\/span>sigma1 <span class=\"token operator\">&#043;<\/span> sigma2 <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> cov_sqrt<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> <span class=\"token builtin\">float<\/span><span class=\"token punctuation\">(<\/span>term1 <span class=\"token operator\">&#043;<\/span> term2<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token comment\"># \u4e3b\u7a0b\u5e8f&#xff08;\u652f\u6301\u547d\u4ee4\u884c\u53c2\u6570&#xff09;<\/span><br \/>\n<span class=\"token comment\"># &#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;&#061;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> __name__ <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#034;__main__&#034;<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    parser <span class=\"token operator\">&#061;<\/span> argparse<span class=\"token punctuation\">.<\/span>ArgumentParser<span class=\"token punctuation\">(<\/span>description<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;FID \u56fe\u50cf\u8d28\u91cf\u8bc4\u4f30&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    parser<span class=\"token punctuation\">.<\/span>add_argument<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&#8211;real&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">type<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token builtin\">str<\/span><span class=\"token punctuation\">,<\/span> required<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">help<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;\u771f\u5b9e\u56fe\u7247\u6587\u4ef6\u5939\u8def\u5f84&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    parser<span class=\"token punctuation\">.<\/span>add_argument<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&#8211;gen&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">type<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token builtin\">str<\/span><span class=\"token punctuation\">,<\/span> required<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">help<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;\u751f\u6210\u56fe\u7247\u6587\u4ef6\u5939\u8def\u5f84&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    parser<span class=\"token punctuation\">.<\/span>add_argument<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&#8211;batch&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">type<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token builtin\">int<\/span><span class=\"token punctuation\">,<\/span> default<span class=\"token operator\">&#061;<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">help<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;\u63a8\u7406\u6279\u91cf\u5927\u5c0f&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    args <span class=\"token operator\">&#061;<\/span> parser<span class=\"token punctuation\">.<\/span>parse_args<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u521d\u59cb\u5316\u7279\u5f81\u63d0\u53d6\u5668<\/span><br \/>\n    model<span class=\"token punctuation\">,<\/span> hook_handle<span class=\"token punctuation\">,<\/span> get_feature <span class=\"token operator\">&#061;<\/span> build_inception_extractor<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u63d0\u53d6\u7279\u5f81<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&#061;&#061;&#061;&#061;&#061; \u63d0\u53d6\u771f\u5b9e\u56fe\u7247\u7279\u5f81 &#061;&#061;&#061;&#061;&#061;&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    feats_real <span class=\"token operator\">&#061;<\/span> extract_all_features<span class=\"token punctuation\">(<\/span>args<span class=\"token punctuation\">.<\/span>real<span class=\"token punctuation\">,<\/span> model<span class=\"token punctuation\">,<\/span> get_feature<span class=\"token punctuation\">,<\/span> args<span class=\"token punctuation\">.<\/span>batch<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u6709\u6548\u771f\u5b9e\u6837\u672c: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>feats_real<span class=\"token punctuation\">.<\/span>shape<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> \u5f20&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&#061;&#061;&#061;&#061;&#061; \u63d0\u53d6\u751f\u6210\u56fe\u7247\u7279\u5f81 &#061;&#061;&#061;&#061;&#061;&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    feats_gen <span class=\"token operator\">&#061;<\/span> extract_all_features<span class=\"token punctuation\">(<\/span>args<span class=\"token punctuation\">.<\/span>gen<span class=\"token punctuation\">,<\/span> model<span class=\"token punctuation\">,<\/span> get_feature<span class=\"token punctuation\">,<\/span> args<span class=\"token punctuation\">.<\/span>batch<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u6709\u6548\u751f\u6210\u6837\u672c: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>feats_gen<span class=\"token punctuation\">.<\/span>shape<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> \u5f20&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u8ba1\u7b97\u9ad8\u65af\u53c2\u6570<\/span><br \/>\n    mu_real<span class=\"token punctuation\">,<\/span> sigma_real <span class=\"token operator\">&#061;<\/span> calc_mu_sigma<span class=\"token punctuation\">(<\/span>feats_real<span class=\"token punctuation\">)<\/span><br \/>\n    mu_gen<span class=\"token punctuation\">,<\/span> sigma_gen <span class=\"token operator\">&#061;<\/span> calc_mu_sigma<span class=\"token punctuation\">(<\/span>feats_gen<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u8ba1\u7b97 FID<\/span><br \/>\n    fid_score <span class=\"token operator\">&#061;<\/span> calculate_fid<span class=\"token punctuation\">(<\/span>mu_real<span class=\"token punctuation\">,<\/span> sigma_real<span class=\"token punctuation\">,<\/span> mu_gen<span class=\"token punctuation\">,<\/span> sigma_gen<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\\\\n&#061;&#061;&#061;&#061;&#061; FID &#061; <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>fid_score<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">.4f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> &#061;&#061;&#061;&#061;&#061;&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    hook_handle<span class=\"token punctuation\">.<\/span>remove<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    torch<span class=\"token punctuation\">.<\/span>cuda<span class=\"token punctuation\">.<\/span>empty_cache<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<hr \/>\n<h3>\u4e09\u3001\u4f7f\u7528\u8bf4\u660e<\/h3>\n<p>pip <span class=\"token function\">install<\/span> torch torchvision pillow numpy scipy<\/p>\n<p><span class=\"token comment\"># \u547d\u4ee4\u884c\u4f20\u53c2<\/span><br \/>\npython fid_calc.py <span class=\"token parameter variable\">&#8211;real<\/span> .\/real_images <span class=\"token parameter variable\">&#8211;gen<\/span> .\/gen_images <span class=\"token parameter variable\">&#8211;batch<\/span> <span class=\"token number\">32<\/span><\/p>\n<h4>\u6ce8\u610f\u4e8b\u9879<\/h4>\n<table>\n<tr>\u6ce8\u610f\u70b9\u8bf4\u660e<\/tr>\n<tbody>\n<tr>\n<td>\u6837\u672c\u91cf<\/td>\n<td>\u5efa\u8bae \u2265 50000 \u5f20&#xff08;\u8bba\u6587\u6807\u51c6&#xff09;&#xff0c;&lt; 10000 \u504f\u7f6e\u4e25\u91cd&#xff0c;\u4e0d\u5177\u5907\u5bf9\u6bd4\u4ef7\u503c<\/td>\n<\/tr>\n<tr>\n<td>\u534f\u65b9\u5dee\u8ba1\u7b97<\/td>\n<td>bias&#061;True \u6709\u504f\u4f30\u8ba1&#xff0c;\u4e0e pytorch-fid \u5b98\u65b9\u5de5\u5177\u7ed3\u679c\u4e00\u81f4<\/td>\n<\/tr>\n<tr>\n<td>\u635f\u574f\u56fe\u7247<\/td>\n<td>\u81ea\u52a8\u8df3\u8fc7&#xff0c;\u4e0d\u4f1a\u4e2d\u65ad\u7a0b\u5e8f<\/td>\n<\/tr>\n<tr>\n<td>\u6279\u91cf\u63a8\u7406<\/td>\n<td>&#8211;batch \u53c2\u6570\u63a7\u5236 batch size&#xff0c;GPU \u73af\u5883\u5efa\u8bae 32~64<\/td>\n<\/tr>\n<tr>\n<td>\u8bbe\u5907<\/td>\n<td>\u81ea\u52a8\u9002\u914d CPU \/ GPU<\/td>\n<\/tr>\n<tr>\n<td>\u56fe\u7247\u683c\u5f0f<\/td>\n<td>\u652f\u6301 .jpg \/ .jpeg \/ .png<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u4e2a\u4eba\u80fd\u529b\u6709\u9650&#xff0c;\u6709\u95ee\u9898\u968f\u65f6\u8054\u7cfb~<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u3001FID \u5b8c\u6574\u539f\u7406<br \/>\n1. \u7279\u5f81\u63d0\u53d6\u539f\u7406<br \/>\n\u4f7f\u7528 ImageNet \u9884\u8bad\u7ec3\u7684 InceptionV3 \u4f5c\u4e3a\u56fa\u5b9a\u7279\u5f81\u63d0\u53d6\u5668\u79fb\u9664\u7f51\u7edc\u672b\u7aef\u5206\u7c7b\u5c42\u4e0e Softmax&#xff0c;\u622a\u53d6\u5012\u6570\u7b2c\u4e8c\u5c42&#xff08;Mixed_7c&#xff09;\u7279\u5f81\u56fe\u5bf9\u7279\u5f81\u56fe\u6267\u884c\u5168\u5c40\u5e73\u5747\u6c60\u5316&#xff0c;\u5c06\u4efb\u610f\u8f93\u5165\u56fe\u50cf\u6620\u5c04\u4e3a\u56fa\u5b9a\u7684 2048 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