{"id":48352,"date":"2024-02-16T21:34:15","date_gmt":"2024-02-16T13:34:15","guid":{"rendered":"https:\/\/swarma.org\/?p=48352"},"modified":"2024-02-16T21:34:15","modified_gmt":"2024-02-16T13:34:15","slug":"prl%e9%80%9f%e9%80%92%ef%bc%9a%e6%b7%b1%e5%ba%a6%e7%a5%9e%e7%bb%8f%e7%bd%91%e7%bb%9c%e7%9a%84%e6%9c%89%e9%99%90%e6%97%b6%e9%97%b4lyapunov%e6%8c%87%e6%95%b0","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=48352","title":{"rendered":"PRL\u901f\u9012\uff1a\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u7684\u6709\u9650\u65f6\u95f4Lyapunov\u6307\u6570"},"content":{"rendered":"
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\u5173\u952e\u8bcd\uff1a\u6df7\u6c8c\uff0c\u975e\u7ebf\u6027\uff0cLyapunov\u6307\u6570\uff0c\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc<\/span><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/span><\/p>\n


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\u8bba\u6587\u9898\u76ee\uff1aFinite-Time Lyapunov Exponents of Deep Neural Networks<\/span><\/span><\/section>\n
\u8bba\u6587\u671f\u520a\uff1aPhysical Review Letters<\/span><\/em><\/em><\/span><\/section>\n
\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.132.057301<\/span><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

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\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u53ef\u4ee5\u88ab\u8bad\u7ec3\u7528\u4e8e\u5efa\u6a21\u590d\u6742\u7684\u51fd\u6570\u5173\u7cfb\u3002\u8fd9\u79cd\u795e\u7ecf\u7f51\u7edc\u7684\u8868\u73b0\u529b\uff0c\u5373\u5c55\u5f00\u590d\u6742\u7684\u6570\u636e\u7ed3\u6784\u7684\u80fd\u529b\uff0c\u968f\u7740\u5c42\u6570\u7684\u589e\u52a0\u5448\u6307\u6570\u7ea7\u589e\u957f\u3002\u6700\u8fd1\u795e\u7ecf\u7f51\u7edc\u7684\u7a81\u7834\u6027\u5e94\u7528\u4f7f\u7528\u4e86\u5177\u6709\u8bb8\u591a\u795e\u7ecf\u5143\u5c42\u7684\u6df1\u5ea6\u524d\u9988\u5e03\u5c40\u3002\u76ee\u524d\u5df2\u6709\u7814\u7a76\u5728\u65e0\u9650\u5bbd\u5c42\u7684\u6e10\u8fd1\u6781\u9650\u4e0b\u8fdb\u884c\u7684\u6570\u5b66\u5206\u6790\u63ed\u793a\u4e86\u6df1\u5c42\u7f51\u7edc\u5982\u4f55\u5b66\u4e60\u89e3\u51b3\u5206\u7c7b\u4efb\u52a1\u3002\u7136\u800c\uff0c\u6211\u4eec\u8fd8\u4e0d\u77e5\u9053\u6709\u9650\u5bbd\u5ea6\u7f51\u7edc\u4f55\u65f6\uff0c\u4ee5\u53ca\u5982\u4f55\u5229\u7528\u5176\u6307\u6570\u7ea7\u7684\u8868\u73b0\u529b\u6765\u8868\u793a\u5206\u7c7b\u4efb\u52a1\u6240\u9700\u7684\u6570\u636e\u7279\u5f81\uff0c\u8868\u793a\u5982\u4f55\u5f71\u54cd\u9884\u6d4b\u7684\u51c6\u786e\u6027\u548c\u4e0d\u786e\u5b9a\u6027\uff0c\u4ee5\u53ca\u5b83\u5982\u4f55\u4f9d\u8d56\u4e8e\u7f51\u7edc\u5e03\u5c40\u3002<\/span><\/section>\n

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\u8fd1\u65e5\u4e00\u7bc7\u53d1\u8868\u5728 Physical Review Letters <\/em>\u7684\u7814\u7a76\u8ba1\u7b97\u4e86\u5c0f\u7684\u8f93\u5165\u6270\u52a8\u5982\u4f55\u5f71\u54cd\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u7684\u8f93\u51fa\uff0c\u63a2\u7d22\u4e86\u6df1\u5ea6\u524d\u9988\u7f51\u7edc\u4e0e\u52a8\u529b\u7cfb\u7edf\u4e4b\u95f4\u7684\u7c7b\u6bd4\uff0c\u5176\u4e2d\u5c40\u90e8\u6270\u52a8\u7684\u589e\u957f\u6216\u8870\u51cf\u7531\u6709\u9650\u65f6\u95f4\u7684Lyapunov\u6307\u6570\u6240\u63cf\u8ff0\u3002\u8be5\u7814\u7a76\u8868\u660e\uff0c\u6700\u5927\u6307\u6570\u5728\u8f93\u5165\u7a7a\u95f4\u4e2d\u5f62\u6210\u51e0\u4f55\u7ed3\u6784\uff0c\u7c7b\u4f3c\u4e8e\u52a8\u529b\u7cfb\u7edf\u4e2d\u7684\u76f8\u5e72\u7ed3\u6784\u3002\u5927\u6b63\u6307\u6570\u7684\u810a\u7ebf\u5c06\u8f93\u5165\u7a7a\u95f4\u5206\u6210\u4e0d\u540c\u7684\u533a\u57df\uff0c\u7f51\u7edc\u5c06\u5176\u4e0e\u4e0d\u540c\u7c7b\u522b\u76f8\u5173\u8054\u3002\u8fd9\u4e9b\u810a\u7ebf\u53ef\u89c6\u5316\u6df1\u5ea6\u7f51\u7edc\u5728\u8f93\u5165\u7a7a\u95f4\u4e2d\u6784\u5efa\u7684\u51e0\u4f55\u5f62\u72b6\uff0c\u9610\u660e\u4e86\u5176\u5b66\u4e60\u80fd\u529b\u7684\u57fa\u672c\u673a\u5236\u3002<\/span><\/section>\n

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\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/span><\/section>\n
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\u200d<\/span>\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/strong><\/section>\n
1. <\/strong>Nat. Commun.\u901f\u9012\uff1a\u57fa\u7840\u97f3\u4e50\u611f\u77e5\u5728\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u81ea\u53d1\u6d8c\u73b0<\/a><\/strong><\/span><\/strong><\/strong><\/section>\n
2. <\/strong>PNAS\u901f\u9012\uff1a\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u9884\u6d4b\u5c0f\u5c3a\u5ea6\u6e4d\u6d41\u52a8\u529b\u5b66<\/a><\/strong><\/span><\/strong><\/strong><\/section>\n
3.<\/strong> \u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u7684\u7edf\u8ba1\u7269\u7406\uff1a\u5bfb\u627e\u6700\u4f18\u521d\u59cb\u5316\u7406\u8bba<\/a><\/a><\/strong><\/strong><\/strong><\/span><\/section>\n
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4. <\/strong><\/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
5. <\/strong><\/strong><\/strong><\/strong>\u52a0\u5165\u96c6\u667a\u5b66\u56edVIP\uff0c\u4e00\u6b21\u6027\u83b7\u53d6\u96c6\u667a\u5e73\u53f0\u6240\u6709\u5185\u5bb9\u8d44\u6e90<\/a><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/strong><\/strong><\/section>\n
6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/section>\n


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

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

\u5173\u952e\u8bcd\uff1a\u6df7\u6c8c\uff0c\u975e\u7ebf\u6027\uff0cLyapunov\u6307\u6570\uff0c\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc \u8bba\u6587\u9898\u76ee\uff1aFinite-Time Lyapunov Exponents of Deep Neural Networks \u8bba\u6587\u671f\u520a\uff1aPhysical Review Letters \u8bba\u6587\u5730\u5740\uff1ahttps:\/\/journals.aps.org\/pr…<\/p>\n","protected":false},"author":0,"featured_media":48338,"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\/48352"}],"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=48352"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/48352\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/48338"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=48352"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=48352"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=48352"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=48352"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}