{"id":54938,"date":"2025-01-09T18:36:04","date_gmt":"2025-01-09T10:36:04","guid":{"rendered":"https:\/\/swarma.org\/?p=54938"},"modified":"2025-01-09T18:36:04","modified_gmt":"2025-01-09T10:36:04","slug":"pre-%e9%80%9f%e9%80%92%ef%bc%9a%e7%94%9f%e6%88%90%e6%89%a9%e6%95%a3%e6%a8%a1%e5%9e%8b%e7%9a%84%e9%9d%9e%e5%b9%b3%e8%a1%a1%e7%89%a9%e7%90%86","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=54938","title":{"rendered":"PRE \u901f\u9012\uff1a\u751f\u6210\u6269\u6563\u6a21\u578b\u7684\u975e\u5e73\u8861\u7269\u7406"},"content":{"rendered":"
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\u8bba\u6587\u9898\u76ee\uff1aNonequilbrium physics of generative diffusion models<\/span><\/p>\n

\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.111.014111<\/span><\/p>\n

\u671f\u520a\u540d\u79f0\uff1aPhysical Review E<\/em><\/span><\/p>\n<\/blockquote>\n


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\u8fd1\u5e74\u6765\uff0c\u57fa\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u751f\u6210\u6269\u6563\u6a21\u578b<\/span>\uff08Generative Diffusion Models, GDMs\uff09<\/span>\u9010\u6e10\u6210\u4e3a\u673a\u5668\u5b66\u4e60\u548c\u7edf\u8ba1\u7269\u7406\u7684\u7814\u7a76\u70ed\u70b9\u3002\u5b83\u4e0d\u4ec5\u5728\u65e0\u76d1\u7763\u5b66\u4e60\u4e2d\u8868\u73b0\u5353\u8d8a\uff0c\u8fd8\u5c55\u793a\u4e86\u4e0e\u975e\u5e73\u8861\u7269\u7406\u6df1\u523b\u7684\u7406\u8bba\u8054\u7cfb\u3002\u8fd1\u671f\u4e00\u7bc7\u53d1\u8868\u5728 Physical Review E<\/em> \u7684\u7814\u7a76\u5229\u7528\u975e\u5e73\u8861\u7edf\u8ba1\u7269\u7406\u7684\u5de5\u5177\uff0c\u6df1\u5165\u7814\u7a76\u4e86\u751f\u6210\u6269\u6563\u6a21\u578b\u7684\u6838\u5fc3\u673a\u5236\uff0c\u5e76\u63d0\u51fa\u4e86\u57fa\u4e8e\u8def\u5f84\u79ef\u5206\u3001\u71b5\u4ea7\u751f\u548c\u51e0\u4f55\u81ea\u7531\u80fd\u7684\u7406\u8bba\u6846\u67b6\u3002<\/span><\/p>\n


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\u7814\u7a76\u5229\u7528\u975e\u5e73\u8861\u7269\u7406\u4e2d\u7684\u8def\u5f84\u79ef\u5206\u65b9\u6cd5\uff0c\u5206\u522b\u5206\u6790\u4e86\u751f\u6210\u6269\u6563\u6a21\u578b\u4e2d\u7684\u524d\u5411\u6269\u6563\u548c\u9006\u5411\u6269\u6563\u8fc7\u7a0b\uff0c\u8ba1\u7b97\u8def\u5f84\u6982\u7387\u3001\u71b5\u6d41\u548c\u71b5\u4ea7\u751f\u7387\u7684\u53d8\u5316\u3002\u53d1\u73b0\u524d\u5411\u6269\u6563\u8fc7\u7a0b\u4e2d\uff0c\u71b5\u4ea7\u751f\u4e3b\u8981\u6e90\u81ea\u6570\u636e\u70b9\u5411\u9ad8\u65af\u767d\u566a\u58f0\u7684\u6269\u6563\uff0c\u8868\u73b0\u4e3a\u663e\u8457\u7684\u71b5\u6d41\u53d8\u5316\u3002\u9006\u5411\u6269\u6563\u8fc7\u7a0b\u5219\u901a\u8fc7\u8def\u5f84\u6982\u7387\u7684\u68af\u5ea6\u9a71\u52a8\u751f\u6210\uff0c\u6ee1\u8db3\u8def\u5f84\u79ef\u5206\u5f62\u5f0f\u7684\u6da8\u843d\u5b9a\u7406<\/span>\uff08Fluctuation Theorem\uff09<\/span>\u3002<\/span><\/p>\n


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\u56fe1. \u4e8c\u7ef4\u9ad8\u65af\u6df7\u5408\u6570\u636e\u751f\u6210\u6269\u6563\u8fc7\u7a0b\u7684\u793a\u610f\u56fe\uff0c\u5305\u62ec\u4ece\u65f6\u95f4t = 0\u5230\u65f6\u95f4t = 3\u7684\u524d\u5411\u8fc7\u7a0b\u4e0e\u4ece\u65f6\u95f4t = 3\u5230\u65f6\u95f4t = 0\u7684\u9006\u5411\u8fc7\u7a0b\u3002<\/span><\/section>\n


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\u56fe 2. \u524d\u5411OU\u8fc7\u7a0b10000\u4e2a\u8f68\u8ff9\u4f30\u8ba1\u7684\u71b5\u53d8\u5316\u5f52\u4e00\u5316\u76f4\u65b9\u56fe\u3002<\/span><\/p>\n


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\u56fe 3. \u4e00\u7ef4\u6570\u636e\u7684\u5bf9\u79f0\u6027\u7834\u7f3a\u76f8\u56fe\u3002<\/span><\/p>\n


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\u5f15\u5165 Franz-Parisi \u52bf\u5206\u6790\u751f\u6210\u6837\u672c\u5728\u6570\u636e\u7a7a\u95f4\u7684\u51e0\u4f55\u7279\u6027\uff0c\u5e76\u7814\u7a76\u5176\u5728\u751f\u6210\u8fc7\u7a0b\u4e2d\u7684\u52a8\u6001\u53d8\u5316\u3002\u751f\u6210\u6269\u6563\u8fc7\u7a0b\u4e2d\uff0cFranz-Parisi \u52bf\u8868\u73b0\u51fa\u4e0e\u81ea\u65cb\u73bb\u7483\u6a21\u578b\u76f8\u4f3c\u7684\u51e0\u4f55\u884c\u4e3a\uff0c\u53cd\u6620\u51fa\u6570\u636e\u5206\u5e03\u4ece\u65e0\u5e8f\u72b6\u6001\u5411\u51dd\u805a\u72b6\u6001\u7684\u8f6c\u53d8\uff1b\u4e0d\u540c\u65f6\u95f4\u70b9\u7684 Franz-Parisi \u52bf\u66f2\u7ebf\u663e\u793a\u4e86\u7a33\u6001\u5bf9\u79f0\u7834\u7f3a\u4e0e\u975e\u7a33\u6001\u5206\u5e03\u4e4b\u95f4\u7684\u8fc7\u6e21\u3002<\/span><\/p>\n


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\u56fe 4.Franz-Parisi\u52bf\u53ca\u5176\u5728\u03bc=1\u7684\u4e00\u9636\u548c\u4e8c\u9636\u5bfc\u6570\u3002<\/span><\/p>\n


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\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/strong><\/section>\n
1. <\/strong>\u4ece\u6269\u6563\u6a21\u578b\u5230\u6cca\u677e\u6d41\u6a21\u578b\uff0c\u751f\u6210\u5f0fAI\u7684\u7269\u7406\u57fa\u7840\u662f\u5426\u6709\u671b\u5927\u4e00\u7edf\uff1f<\/a><\/strong><\/span><\/strong><\/section>\n
2. <\/strong>AI\u751f\u6210\u827a\u672f\u7684\u5e95\u5c42\u539f\u7406\uff1a\u975e\u5e73\u8861\u7269\u7406\u7684\u6269\u6563\u6a21\u578b<\/a><\/strong><\/span><\/strong><\/section>\n
3. <\/strong>PRL \u901f\u9012\uff1a\u7ed3\u5408\u4e24\u79cd\u975e\u5e73\u8861\u8303\u5f0f\uff1a\u9a71\u52a8\u73bb\u7483\u7cfb\u7edf\u4e2d\u7684\u8106\u5f31\u8001\u5316\u4e0e\u7a33\u5065\u8001\u5316<\/a><\/strong><\/span><\/strong><\/section>\n
4. <\/strong><\/span>\u5f20\u6c5f\uff1a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406 | \u96c6\u667a\u5b66\u56ed\u5168\u65b0\u8bfe\u7a0b<\/a><\/strong><\/strong><\/span><\/section>\n
<\/strong>5. <\/strong>\u9f99\u5e74\u5927\u8fd0\u8d77\uff0c\u5b66\u4e60\u6b63\u5f53\u65f6\uff01\u89e3\u9501\u96c6\u667a\u5168\u7ad9\u5185\u5bb9\uff0c\u5f00\u542f\u65b0\u5e74\u5b66\u4e60\u8ba1\u5212<\/a><\/strong><\/section>\n

6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/p>\n


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\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/span><\/section>\n

<\/mp-style-type><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u5173\u952e\u8bcd\uff1a\u795e\u7ecf\u7f51\u7edc\uff0c\u751f\u6210\u6269\u6563\u6a21\u578b\uff0c\u975e\u5e73\u8861\u7269\u7406\uff0c\u968f\u673a\u70ed\u529b\u5b66\uff0c\u8def\u5f84\u79ef\u5206\uff0c\u5bf9\u79f0\u6027\u7834\u7f3a\uff0c\u6da8\u843d\u5b9a\u7406\uff0c\u81ea\u65cb\u73bb\u7483\u76f8\u53d8 \u8bba\u6587\u9898\u76ee\uff1aNonequilbrium physics of generative diffusion models \u8bba\u6587\u5730\u5740\uff1ahttps:\/\/journals.aps.org\/pre\/abstrac…<\/p>\n","protected":false},"author":0,"featured_media":54931,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/54938"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=54938"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/54938\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/54931"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=54938"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=54938"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=54938"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=54938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}