{"id":21283,"date":"2020-10-17T21:56:30","date_gmt":"2020-10-17T13:56:30","guid":{"rendered":"https:\/\/swarma.org\/?p=21283"},"modified":"2020-10-17T21:56:30","modified_gmt":"2020-10-17T13:56:30","slug":"%e4%b8%ba%e4%bb%80%e4%b9%88%e8%9b%8b%e7%99%bd%e8%b4%a8%e5%85%bc%e5%85%b7%e5%8f%af%e5%a1%91%e6%80%a7%e4%b8%8e%e7%a8%b3%e5%ae%9a%e6%80%a7%ef%bc%9f%e4%bb%8e%e8%bf%9b%e5%8c%96%e8%a7%86%e8%a7%92%e6%8f%ad","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=21283","title":{"rendered":"\u4e3a\u4ec0\u4e48\u86cb\u767d\u8d28\u517c\u5177\u53ef\u5851\u6027\u4e0e\u7a33\u5b9a\u6027\uff1f\u4ece\u8fdb\u5316\u89c6\u89d2\u63ed\u793a\u751f\u547d\u590d\u6742\u7cfb\u7edf\u7684\u5185\u5728\u5e73\u8861"},"content":{"rendered":"
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1. \u53ef\u5851\u6027\uff08plasticity\uff09\u548c\u7a33\u5b9a\u6027\uff08robustness\uff09\uff1a<\/span><\/strong><\/strong><\/span><\/p>\n

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\u4e0e\u53ef\u5851\u6027\u76f8\u53cd\u7684\u4e00\u4e2a\u6982\u5ff5\u662f\u7a33\u5b9a\u6027<\/span>\uff08<\/span>robustness\uff0c<\/span>\u5e73\u65f6\u4e5f\u7ffb\u8bd1\u4e3a\u9c81\u68d2\u6027\u3001\u7a33\u5065\u6027\u7b49\uff0c\u672c\u6587\u4e3a\u7b80\u5355\u8d77\u89c1\uff0c\u7edf\u4e00\u79f0\u4e3a\u201c\u7a33\u5b9a\u6027\u201d<\/span>\uff09<\/span>\u3002\u4f8b\u5982\uff0c\u6052\u6e29\u52a8\u7269\u7684\u4f53\u6e29\u5728\u4e0d\u540c\u7684\u73af\u5883\u4e0b\u53ef\u4ee5\u4fdd\u6301\u5728\u76f8\u5bf9\u7a33\u5b9a\u7684\u8303\u56f4\u5185\uff0c\u8fd9\u4f53\u73b0\u7684\u5c31\u662f\u4e00\u79cd\u7a33\u5b9a\u6027\u3002\u7a33\u5b9a\u6027\u6240\u53cd\u6620\u7684\u662f\u7cfb\u7edf\u968f\u73af\u5883\u53d8\u5316\u72b6\u6001\u201c\u4e0d\u53d8\u201d\u7684\u4e00\u79cd\u7279\u6027\u3002\u53ef\u5851\u6027\u4e0e\u7a33\u5b9a\u6027\uff0c\u4ee3\u8868\u7740\u590d\u6742\u7cfb\u7edf\u201c\u53ef\u53d8\u201d\u4e0e\u201c\u4e0d\u53d8\u201d\u8fd9\u6837\u4e00\u4e2a\u57fa\u672c\u77db\u76fe\u3002<\/span><\/p>\n


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Functional sensitivity and mutational robustness of proteins<\/span><\/p>\n

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https:\/\/journals.aps.org\/prresearch\/abstract\/10.1103\/PhysRevResearch.2.033452<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


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2. \u86cb\u767d\u8d28\u7684\u529f\u80fd\u654f\u611f\u6027\uff08functional sensitivity\uff09\u548c<\/strong><\/strong><\/span><\/p>\n

\u7a81\u53d8\u7a33\u5b9a\u6027\uff08mutational robustness\uff09<\/strong><\/strong><\/span><\/p>\n

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\u5ef6\u7eed\u5728\u4e0a\u4e00\u8282\u4e2d\u63d0\u5230\u7684\u201c\u4e92\u8865\u5173\u7cfb\u201d\uff0c\u6211\u4eec\u60f3\u5230\u4e86\u8fd9\u6837\u4e00\u4e2a\u95ee\u9898\uff1a\u4e00\u4e2a\u7cfb\u7edf\u5bf9\u5916\u754c\uff08external\uff09<\/strong>\u6270\u52a8\u7684\u654f\u611f\u6027\u548c\u5bf9\u5185\u90e8\uff08internal\uff09<\/strong>\u6270\u52a8\u7684\u7a33\u5b9a\u6027\u4e4b\u95f4\uff0c\u662f\u4e0d\u662f\u4e5f\u5177\u6709\u7c7b\u4f3c\u7684\u4e92\u8865\u5173\u7cfb\u3002\u8bf7\u6ce8\u610f\uff0c\u8fd9\u91cc\u6211\u4eec\u5c06\u4e0a\u4e00\u8282\u4e2d\u7684\u201c\u53ef\u5851\u6027\u201d\u5207\u6362\u6210\u4e86\u201c\u654f\u611f\u6027\u201d\uff0c\u8fd9\u662f\u56e0\u4e3a\u7cfb\u7edf\u7684\u654f\u611f\u6027\u7279\u5f81\u5f80\u5f80\u4e0e\u53ef\u5851\u6027\u662f\u7d27\u5bc6\u8054\u7cfb\u7684\uff0c\u56e0\u4e3a\u53ea\u6709\u5f53\u654f\u611f\u5730\u611f\u77e5\u5230\u5916\u754c\u73af\u5883\u7684\u53d8\u5316\uff0c\u624d\u80fd\u5bf9\u8fd9\u79cd\u53d8\u5316\u505a\u51fa\u6539\u53d8\uff0c\u8fd9\u79cd\u54cd\u5e94\u5173\u7cfb\u6240\u53cd\u6620\u7684\u5c31\u662f\u7cfb\u7edf\u7684\u654f\u611f\u6027\u7279\u5f81\u3002\u6211\u4eec\u5c06\u7cfb\u7edf\u5bf9\u5916\u754c\u6270\u52a8\u7684\u654f\u611f\u6027\u79f0\u4e3a\u201c\u529f\u80fd\u654f\u611f\u6027\u201d\uff0c\u5c06\u7cfb\u7edf\u5bf9\u5185\u90e8\u6270\u52a8\u7684\u7a33\u5b9a\u6027\u79f0\u4e3a\u201c\u7a81\u53d8\u7a33\u5b9a\u6027\u201d\u3002\u4e4b\u6240\u4ee5\u8fd9\u6837\u5b9a\u4e49\u8fd9\u4e24\u4e2a\u6982\u5ff5\uff0c\u4e3b\u8981\u662f\u8003\u8651\u5230\u5b83\u80cc\u540e\u7684\u751f\u7269\u5b66\u7684\u5b9e\u9645\u610f\u4e49\u3002<\/span><\/p>\n


<\/p>\n

\u6211\u4eec\u5c06\u751f\u7269\u4f53\u5185\u5404\u79cd\u751f\u7406\u529f\u80fd\u7684\u4e3b\u8981\u6267\u884c\u8005\u2014\u2014\u86cb\u767d\u8d28\u5206\u5b50\u2014\u2014\u4f5c\u4e3a\u6211\u4eec\u5173\u6ce8\u7684\u7cfb\u7edf\u3002\u86cb\u767d\u8d28\u5728\u53d1\u6325\u529f\u80fd\u7684\u65f6\u5019\uff0c\u5e38\u5e38\u5bf9\u4e8e\u5916\u754c<\/strong>\u7684\u6270\u52a8\u548c\u566a\u58f0\u6709\u9ad8\u5ea6\u7684\u654f\u611f\u6027\uff0c\u751a\u81f3\u8868\u73b0\u51fa\u7c7b\u4f3c\u4e8e\u201c\u4e34\u754c\u6001\u201d\u7684\u9ad8\u654f\u611f\u6027<\/span>\uff08susceptibility\uff09<\/span>\u7279\u5f81[3]\uff0c\u5e76\u80fd\u6839\u636e\u5916\u754c\u73af\u5883\u4e2d\u7684\u6270\u52a8\u505a\u51fa\u76f8\u5e94\u7684\u6784\u8c61\u53d8\u5316\uff0c\u6211\u4eec\u5c06\u86cb\u767d\u8d28\u5206\u5b50\u5728\u529f\u80fd\u52a8\u529b\u5b66<\/span>\uff08functional dynamics\uff09<\/span>\u4e2d\uff0c\u9488\u5bf9\u5916\u754c<\/strong>\u6270\u52a8\u6240\u4f53\u73b0\u51fa\u6765\u7684\u654f\u611f\u6027\u53eb\u505a\u201c\u529f\u80fd\u654f\u611f\u6027<\/strong>\u201d\u3002\u4e0e\u6b64\u540c\u65f6\uff0c\u86cb\u767d\u8d28\u5206\u5b50\u5728\u9762\u4e34\u7740\u5185\u90e8\u7684\u6270\u52a8\u65f6\uff0c\u5e38\u5e38\u8868\u73b0\u51fa\u9ad8\u5ea6\u7684\u7a33\u5b9a\u6027\u3002<\/span><\/p>\n


<\/p>\n

\u4e0e\u6b64\u540c\u65f6\uff0c\u86cb\u767d\u8d28\u5728\u9762\u5bf9\u5206\u5b50\u5185\u90e8<\/strong>\u7684\u6270\u52a8<\/span>\uff08\u7a81\u53d8\uff09<\/span>\u65f6\uff0c\u8868\u73b0\u51fa\u4e86\u9ad8\u5ea6\u7684\u7a33\u5b9a\u6027\u3002\u5c3d\u7ba1\u7684\u786e\u6709\u4e9b\u5173\u952e\u7a81\u53d8\u4f1a\u5f71\u54cd\u86cb\u767d\u8d28\u7684\u529f\u80fd\u6216\u6298\u53e0\uff0c\u4f46\u86cb\u767d\u8d28\u5bf9\u4e8e\u7edd\u5927\u591a\u6570\u7684\u7a81\u53d8\u90fd\u5177\u6709\u5f88\u9ad8\u7684\u5bb9\u5fcd\u5ea6\u3002\u8fd9\u4e5f\u5f88\u597d\u7406\u89e3\uff0c\u56e0\u4e3a\u4e00\u65e6\u5931\u53bb\u4e86\u7a81\u53d8\u7a33\u5b9a\u6027\uff0c\u86cb\u767d\u8d28\u7684\u6027\u8d28\u548c\u529f\u80fd\u5c06\u65e0\u6cd5\u88ab\u9057\u4f20\uff0c\u8bd5\u60f3\uff0c\u4e00\u4e2a\u80fd\u6709\u6548\u6267\u884c\u751f\u7269\u5b66\u529f\u80fd\u7684\u86cb\u767d\u8d28\u5206\u5b50\uff0c\u4e00\u65e6\u5f15\u5165\u4e00\u4e2a\u5c0f\u5c0f\u7684\u7a81\u53d8\uff0c\u9a6c\u4e0a\u5c31\u53d8\u5f97\u65e0\u6cd5\u518d\u53d1\u6325\u529f\u80fd\uff0c\u9020\u6210\u9002\u5e94\u5ea6<\/span>\uff08fitness\uff09<\/span>\u5927\u51cf\uff0c\u8fd9\u6837\u7684\u5206\u5b50\u5728\u81ea\u7136\u9009\u62e9\u7684\u8fc7\u7a0b\u4e2d\u662f\u4e0d\u5229\u7684\u3002\u4e3a\u4e86\u63cf\u8ff0\u8fd9\u79cd\u5728\u5e94\u5bf9\u7a81\u53d8\u65f6\u7684\u7a33\u5b9a\u6027\uff0c\u6211\u4eec\u5b9a\u4e49\u4e86\u201c\u7a81\u53d8\u7a33\u5b9a\u6027<\/strong>\u201d\u8fd9\u4e00\u6982\u5ff5\uff0c\u5b83\u523b\u753b\u7684\u662f\u7cfb\u7edf\u5728\u7ecf\u8fc7\u7a81\u53d8\u4e4b\u540e\uff0c\u5728\u591a\u5927\u7a0b\u5ea6\u4e0a\u80fd\u591f\u4fdd\u6301\u5176\u539f\u6709\u6027\u8d28\u7684\u4e00\u79cd\u80fd\u529b\u3002\u53ea\u6709\u5f53\u4e00\u4e2a\u7cfb\u7edf\u7684\u7a81\u53d8\u7a33\u5b9a\u6027\u5f88\u9ad8\uff0c\u90a3\u4e48\u5728\u8fdb\u5316\u7684\u8fc7\u7a0b\u4e2d\uff0c\u8fd9\u4e2a\u751f\u7269\u7cfb\u7edf\u7684\u6240\u6267\u884c\u7684\u529f\u80fd\u624d\u53ef\u4ee5\u88ab\u4fdd\u6301\u4e0b\u6765\u3002<\/span><\/p>\n


<\/p>\n

<\/p>\n

\u56fe1.\uff08\u4e0a\uff09\u4e00\u4e2a\u5e26\u6709\u8f93\u5165\u548c\u8f93\u51fa\u7684\u7cfb\u7edf\uff1b\uff08\u4e2d\uff09\u529f\u80fd\u654f\u611f\u6027\u548c\u7cfb\u7edf\u5bf9\u5916\u754c\u7684\u6270\u52a8\u7684\u654f\u611f\u6027\u76f8\u5173\uff0c\u5f53\u8f93\u5165\u4ea7\u751f\u6270\u52a8\u65f6\uff0c\u7cfb\u7edf\u7684\u8f93\u51fa\u4e5f\u4f1a\u53d1\u751f\u76f8\u5e94\u7684\u6539\u53d8\uff1b\uff08\u4e0b\uff09\u7a81\u53d8\u7a33\u5b9a\u6027\u4e0e\u7cfb\u7edf\u5bf9\u5185\u90e8\u6270\u52a8\u7684\u7a33\u5b9a\u6027\u76f8\u5173\uff0c\u5f53\u7cfb\u7edf\u672c\u8eab\u53d1\u751f\u6539\u53d8\u65f6\uff0c\u7cfb\u7edf\u7684\u201c\u8f93\u5165\u2014\u8f93\u51fa\u201d\u5173\u7cfb\u5982\u679c\u80fd\u7ee7\u7eed\u4fdd\u6301\u4e0d\u53d8\uff0c\u5219\u7cfb\u7edf\u6709\u8f83\u5f3a\u7684\u7a81\u53d8\u7a33\u5b9a\u6027<\/span><\/section>\n


<\/p>\n

\u7528\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\u6765\u5e2e\u52a9\u5927\u5bb6\u7406\u89e3\u8fd9\u4e24\u4e2a\u6982\u5ff5\u3002\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u673a\u5668\u7ffb\u8bd1\u7cfb\u7edf\u3002\u6211\u4eec\u8981\u6d4b\u8bd5\u8fd9\u4e2a\u7ffb\u8bd1\u7cfb\u7edf\u7684\u201c\u529f\u80fd\u654f\u611f\u6027\u201d\uff0c\u9996\u5148\uff0c\u6211\u4eec\u7ed9\u8fd9\u4e2a\u7cfb\u7edf\u4e00\u4e2a\u8f93\u5165\u201c\u6211\u592a\u997f\u4e86\u201d\uff0c\u7cfb\u7edf\u7ed9\u51fa\u4e86\u4e00\u4e2a\u7ffb\u8bd1\u201cI am so hungry.\u201d\uff0c\u63a5\u7740\uff0c\u6211\u4eec\u7ed9\u521a\u624d\u7684\u8f93\u5165\u4e00\u4e2a\u5c0f\u5c0f\u7684\u6270\u52a8\uff0c\u8ba9\u5b83\u53d8\u6210\u201c\u6211\u592a\u592a\u997f\u4e86\u201d\uff0c\u5982\u679c\u8fd9\u4e2a\u7ffb\u8bd1\u7cfb\u7edf\u8db3\u591f\u4f18\u79c0\uff0c\u5bf9\u4e8e\u8fd9\u4e2a\u5c0f\u5c0f\u7684\u6270\u52a8\uff0c\u7cfb\u7edf\u51b3\u4e0d\u80fd\u65e0\u52a8\u4e8e\u8877\uff0c\u800c\u662f\u8981\u505a\u51fa\u76f8\u5e94\u7684\u6539\u53d8<\/span>\uff08\u8f93\u51fa\u201cMy wife is hungry.\u201d\uff09<\/span>\u3002\u8fd9\u6837\u7684\u7cfb\u7edf\u5c31\u662f\u5bf9\u4e8e\u5916\u754c<\/strong>\u8f93\u5165\u5177\u6709\u529f\u80fd\u654f\u611f\u6027<\/strong>\u7684\u7cfb\u7edf\u3002<\/span><\/p>\n


<\/p>\n

\u63a5\u7740\uff0c\u6211\u4eec\u5e0c\u671b\u6765\u6d4b\u8bd5\u4e00\u4e0b\u8fd9\u4e2a\u7ffb\u8bd1\u7cfb\u7edf\u7684\u201c\u7a81\u53d8\u7a33\u5b9a\u6027\u201d\u3002\u5b83\u5bf9\u5e94\u7684\u662f\uff0c\u6211\u4eec\u5bf9\u8fd9\u4e2a\u673a\u5668\u7ffb\u8bd1\u7cfb\u7edf\u7684\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u7684\u5185\u90e8<\/strong>\u7ed3\u6784\u8fdb\u884c\u4e00\u4e9b\u5fae\u5c0f\u7684\u7a81\u53d8\uff0c\u4f8b\u5982\u5bf9\u795e\u7ecf\u7f51\u7edc\u8fde\u63a5\u7684\u6743\u91cd\u8fdb\u884c\u4e00\u4e9b\u5fae\u5c0f\u7684\u4fee\u6539\uff0c\u5982\u679c\u795e\u7ecf\u7f51\u7edc\u7ecf\u8fc7\u4e86\u7a81\u53d8\uff0c\u8fd9\u4e2a\u7ffb\u8bd1\u7cfb\u7edf\u8fd8\u662f\u53ef\u4ee5\u6b63\u786e\u7ffb\u8bd1\uff0c\u90a3\u4e48\u5c31\u8bf4\u660e\uff0c\u8fd9\u4e2a\u673a\u5668\u7ffb\u8bd1\u7cfb\u7edf\u672c\u8eab\u662f\u9ad8\u5ea6\u7a33\u5b9a\u7684\uff0c\u5728\u673a\u5668\u5b66\u4e60\u95ee\u9898\u4e2d\uff0c\u8fd9\u6837\u7684\u7cfb\u7edf\u5f80\u5f80\u4f1a\u5177\u6709\u8f83\u9ad8\u7684\u6cdb\u5316<\/span>\uff08generalization\uff09<\/span>\u80fd\u529b\uff0c\u6211\u4eec\u5728\u8fd9\u91cc\u6682\u65f6\u4e0d\u518d\u5bf9\u8fd9\u4e00\u95ee\u9898\u8fdb\u884c\u66f4\u591a\u7684\u5ef6\u4f38\u3002\u603b\u4e4b\uff0c\u5b9a\u91cf\u523b\u753b\u7406\u89e3\u529f\u80fd\u654f\u611f\u6027\u548c\u7a81\u53d8\u7a33\u5b9a\u6027\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4e0d\u4ec5\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u66f4\u6df1\u523b\u5730\u8ba4\u8bc6\u86cb\u767d\u8d28\u7684\u529f\u80fd\u8fd0\u52a8\u548c\u7a81\u53d8\u8fdb\u5316\u4e4b\u95f4\u7684\u5173\u7cfb<\/span>\uff08\u8fd9\u662f\u751f\u7269\u201c\u57fa\u56e0\u578b\u2014\u8868\u73b0\u578b\u201d\u5173\u7cfb\u4e2d\u6781\u4e3a\u91cd\u8981\u7684\u4e00\u73af\uff09<\/span>\uff0c\u4e5f\u80fd\u52a0\u6df1\u6211\u4eec\u5bf9\u4e8e\u590d\u6742\u7cfb\u7edf\u548c\u4eba\u5de5\u667a\u80fd\u7cfb\u7edf\u7684\u7406\u89e3\u3002<\/span><\/p>\n


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3. \u5b9a\u91cf\u5206\u6790\u548c\u8ba8\u8bba<\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

 <\/span><\/p>\n

\u4e0b\u9762\uff0c\u6211\u5c06\u7b80\u5355\u4ecb\u7ecd\u4e00\u4e0b\u6211\u4eec\u5bf9\u86cb\u767d\u8d28\u7cfb\u7edf\u7684\u529f\u80fd\u654f\u611f\u6027\u548c\u7a81\u53d8\u7a33\u5b9a\u6027\u7684\u5b9a\u91cf\u63cf\u8ff0\u3002\u56e0\u4e3a\u8fd9\u4e2a\u5de5\u4f5c\u7684\u4e3b\u8981\u76ee\u7684\u662f\u4e3a\u4e86\u5efa\u6784\u5173\u4e8e\u86cb\u767d\u8d28\u201c\u57fa\u56e0\u578b\u2014\u8868\u73b0\u578b\u201d\u7684\u7406\u8bba\uff0c\u4e3a\u7b80\u5355\u8d77\u89c1\uff0c\u6211\u4eec\u8fd9\u91cc\u4ec5\u8003\u8651\u86cb\u767d\u8d28\u7684\u5929\u7136\u6001\u52a8\u529b\u5b66\u3002\u6b64\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u86cb\u767d\u8d28\u7684\u8fd0\u52a8\u7b80\u5316\u4e3a\u5929\u7136\u6001<\/span>\uff08\u80fd\u91cf\u6700\u4f4e\u7ed3\u6784\uff09<\/span>\u9644\u8fd1\u7684\u632f\u52a8\u3002\u5728\u5b9e\u8df5\u4e2d\uff0c\u53ef\u4ee5\u7528\u5f39\u6027\u7f51\u7edc\u6a21\u578b<\/span>\uff08elastic network model\uff09<\/span>\u6765\u63cf\u8ff0\u86cb\u767d\u8d28\u7684\u5929\u7136\u6001\u52a8\u529b\u5b66[4]\uff0c\u5728\u8fd9\u79cd\u6a21\u578b\u4e2d\uff0c\u6784\u6210\u86cb\u767d\u8d28\u7684\u57fa\u672c\u5355\u5143<\/span>\uff08\u6c28\u57fa\u9178\u6b8b\u57fa\uff09<\/span>\u88ab\u63cf\u8ff0\u4e3a\u4e00\u7cfb\u5217\u7684\u5c0f\u7403\uff0c\u8fd9\u4e9b\u5c0f\u7403\u4e4b\u95f4\u7531\u5f39\u7c27\u8fde\u63a5\uff0c\u8fde\u63a5\u5173\u7cfb\u7531\u86cb\u767d\u8d28\u7684\u5929\u7136\u6001\u7ed3\u6784\u51b3\u5b9a\u3002\u8fd9\u6837\uff0c\u86cb\u767d\u8d28\u7684\u632f\u52a8\u95ee\u9898\u5c31\u53d8\u6210\u4e86\u529b\u5b66\u4e2d\u7684\u4e00\u4e2a\u7ecf\u5178\u95ee\u9898\uff0c\u5373\u6c42\u89e3\u8026\u5408\u632f\u5b50\u7684\u632f\u52a8\u6a21\u5f0f\uff0c\u8fd9\u4e2a\u95ee\u9898\u4e5f\u4e0e\u7ed3\u6784\u5316\u5b66\u4e2d\u6c42\u89e3\u5206\u5b50\u7684\u632f\u52a8\u6a21\u5f0f\u3001\u6216\u8005\u56fa\u4f53\u7269\u7406\u4e2d\u6c42\u89e3\u6676\u4f53\u4e2d\u7684\u683c\u6ce2\u662f\u7c7b\u4f3c\u7684\u3002\u6ce8\u610f\u5230\u5f39\u6027\u7f51\u7edc\u6a21\u578b\u662f\u4e00\u4e2a\u7ebf\u6027\u6a21\u578b\uff0c\u800c\u5f39\u6027\u7f51\u7edc\u7684\u62d3\u6251\u7ed3\u6784\u53ef\u4ee5\u7531\u8be5\u7f51\u7edc\u7684\u62c9\u666e\u62c9\u65af\u77e9\u9635<\/span>\uff08graph Laplacian\uff09<\/span>\u63cf\u8ff0\uff0c\u8be5 Laplacian\u7684\u7279\u5f81\u503c<\/span>\uff08eigenvalue\uff09<\/span>\u6b63\u6bd4\u76f8\u5e94\u632f\u52a8\u6a21\u5f0f\u7684\u9891\u7387\u7684\u5e73\u65b9\uff0c\u800c\u4e0e\u8fd9\u4e9b\u7279\u5f81\u503c\u76f8\u5bf9\u5e94\u7684\u7279\u5f81\u5411\u91cf<\/span>\uff08eigenvector\uff09<\/span>\u5219\u63cf\u8ff0\u4e86\u76f8\u5e94\u632f\u52a8\u6a21\u5f0f\u7684\u57fa\u672c\u5f62\u6001\u3002<\/span><\/p>\n


<\/p>\n

<\/p>\n

\u56fe2. \u86cb\u767d\u8d28\u7684\u5929\u7136\u6001\u7ed3\u6784\uff08\u5de6\uff09\u4e0e\u5176\u6240\u5bf9\u5e94\u7684\u5f39\u6027\u7f51\u7edc\u6a21\u578b\uff08\u53f3\uff09\u793a\u610f\u56fe<\/span><\/section>\n


<\/p>\n

\u6709\u4e86\u8fd9\u6837\u4e00\u4e2a\u6a21\u578b\u6846\u67b6\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u6765\u5b9a\u91cf\u523b\u753b\u201c\u529f\u80fd\u654f\u611f\u6027\u201d\u548c\u201c\u7a81\u53d8\u7a33\u5b9a\u6027\u201d\u3002\u5728\u672c\u6587\u4e2d\uff0c\u6211\u5e0c\u671b\u4e0d\u7528\u516c\u5f0f\uff0c\u4ecb\u7ecd\u76f8\u5173\u5b9a\u4e49\u7684\u57fa\u672c\u601d\u8def\u3002<\/span><\/p>\n


<\/p>\n

<\/p>\n

\u56fe3. \u86cb\u767d\u8d28\u7684\u529f\u80fd\u654f\u611f\u6027\uff08A\uff09\u4e0e\u7a81\u53d8\u7a33\u5b9a\u6027\uff08B\uff09\u7684\u5b9a\u4e49\u793a\u610f\u56fe<\/span><\/p>\n


<\/p>\n

\u5982\u524d\u6240\u8ff0\uff0c\u529f\u80fd\u654f\u611f\u6027\u63cf\u8ff0\u7684\u662f\u7cfb\u7edf\u5728\u5916\u754c\u6270\u52a8\u4e0b\u7684\u54cd\u5e94\u60c5\u51b5\u3002\u6839\u636e\u8fd9\u4e2a\u5b9a\u4e49\uff0c\u5f88\u5bb9\u6613\u60f3\u5230\uff0c\u5728\u76f8\u540c\u7684\u566a\u58f0\u60c5\u51b5\u4e0b\uff0c\u7ed3\u6784\u6da8\u843d\u8d8a\u5927\u7684\u5206\u5b50\u529f\u80fd\u654f\u611f\u6027\u8d8a\u9ad8\uff0c\u800c\u8fd9\u4e2a\u6da8\u843d\u7684\u5927\u5c0f\u53ef\u4ee5\u7528\u86cb\u767d\u8d28\u7684\u6784\u8c61\u71b5<\/span>\uff08conformation entropy\uff09<\/span>\u6765\u63cf\u8ff0\uff0c\u71b5\u8d8a\u5927\uff0c\u53ef\u80fd\u7684\u7ed3\u6784\u6570\u4e5f\u5c31\u8d8a\u591a\u3002\u7ecf\u8fc7\u6570\u5b66\u63a8\u5bfc\uff0c\u53ef\u4ee5\u53d1\u73b0\uff0c\u8fd9\u4e2a\u71b5\u4e0e\u632f\u52a8\u8c31\u4e2d\u632f\u52a8\u9891\u7387<\/span>\uff08\u7279\u5f81\u503c\uff09<\/span>\u7684\u4e58\u79ef\u7684\u5bf9\u6570\u6709\u5173\u3002\u5f53\u6240\u6709\u9891\u7387\u7684\u4e58\u79ef\u8d8a\u5c0f\u65f6\uff0c\u7cfb\u7edf\u7684\u71b5\u8d8a\u5927\uff0c\u8fd9\u4e2a\u7ed3\u679c\u6709\u5f88\u76f4\u89c2\u7684\u610f\u4e49\u3002\u4e00\u65b9\u9762\uff0c\u8fd9\u4e2a\u4e58\u79ef\u53ef\u4ee5\u770b\u6210\u662f\u9ad8\u7ef4\u7a7a\u95f4\u4e2d\u7684\u4e00\u4e2a\u692d\u7403\uff0c\u692d\u7403\u7684\u5927\u5c0f\u5373\u4e3a\u6784\u8c61\u7a7a\u95f4\u7684\u4f53\u79ef\uff1b\u53e6\u4e00\u65b9\u9762\uff0c\u8fd9\u4e00\u7ed3\u679c\u4e5f\u6709\u5f88\u76f4\u89c2\u7684\u7269\u7406\u610f\u4e49\uff0c\u5982\u679c\u4e00\u4e2a\u7cfb\u7edf\u6709\u5927\u91cf\u4f4e\u9891\u7684\u6a21\u5f0f\uff0c\u90a3\u4e48\u5f88\u5c0f\u7684\u80fd\u91cf\u5c31\u80fd\u6fc0\u53d1\u51fa\u7cfb\u7edf\u5927\u632f\u5e45\u7684\u8fd0\u52a8\u3002\u5f53\u6211\u4eec\u5e0c\u671b\u6700\u5927\u5316\u4e00\u4e2a\u86cb\u767d\u8d28\u5206\u5b50\u7684\u6784\u8c61\u71b5\u65f6\uff0c\u6211\u4eec\u5b9e\u9645\u4e0a\u662f\u5e0c\u671b\u8fd9\u4e2a\u5206\u5b50\u6709\u5c3d\u53ef\u80fd\u591a\u7684\u4f4e\u9891\u7684\u632f\u52a8\u6a21\u5f0f\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u6211\u4eec\u5e0c\u671b\u8fd9\u4e2a\u5206\u5b50\u7684\u632f\u52a8\u8c31\u4e2d\u6709\u5927\u91cf\u96c6\u4e2d\u5728\u63a5\u8fd10\u7684\u7279\u5f81\u503c\u3002<\/span><\/p>\n


<\/p>\n

\u63a5\u7740\uff0c\u6211\u4eec\u6765\u8003\u8651\u5b9a\u91cf\u523b\u753b\u4e00\u4e2a\u5206\u5b50\u7684\u201c\u7a81\u53d8\u7a33\u5b9a\u6027\u201d\u3002\u800c\u6211\u4eec\u5728\u8fd9\u91cc\u6240\u8003\u8651\u7684\u201c\u7a81\u53d8\u201d\uff0c\u662f\u5bf9\u7cfb\u7edf\u5185\u90e8\u7684\u6270\u52a8\uff0c\u6362\u53e5\u8bdd\u8bf4\uff0c\u662f\u8981\u5bf9\u7f51\u7edc\u7684\u62d3\u6251\u505a\u4e9b\u6539\u53d8\uff0c\u770b\u770b\u7ecf\u8fc7\u8fd9\u4e00\u6539\u53d8\uff0c\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u5230\u5e95\u53d1\u751f\u4e86\u4e9b\u4ec0\u4e48\u53d8\u5316\u3002\u524d\u9762\u63d0\u5230\uff0c\u7279\u5f81\u503c\u76f8\u5bf9\u5e94\u7684\u7279\u5f81\u5411\u91cf\u63cf\u8ff0\u4e86\u4e0e\u529f\u80fd\u76f8\u5173\u7684\u632f\u52a8\u6a21\u5f0f\u7684\u57fa\u672c\u5f62\u6001\uff0c\u5982\u679c\u5728\u7a81\u53d8\u524d\u540e\uff0c\u76f8\u5e94\u7684\u7279\u5f81\u5411\u91cf\u6ca1\u6709\u53d1\u751f\u592a\u5927\u7684\u6539\u53d8\uff0c\u5219\u8bf4\u660e\u8fd9\u4e2a\u7cfb\u7edf\u5177\u6709\u8f83\u9ad8\u7684\u7a81\u53d8\u7a33\u5b9a\u6027\uff0c\u800c\u5982\u679c\u7f51\u7edc\u7ed3\u6784\u7684\u53d8\u5316\u7279\u5f81\u5411\u91cf\u53d1\u751f\u4e86\u5de8\u5927\u7684\u6539\u53d8\uff0c\u5219\u8bf4\u660e\u7cfb\u7edf\u5bf9\u7a81\u53d8\u662f\u654f\u611f\u7684\u3002\u600e\u6837\u5b9a\u91cf\u523b\u753b\u8fd9\u79cd\u7a33\u5b9a\u6027\u6216\u654f\u611f\u6027\u5462\uff1f\u6839\u636e\u5fae\u6270\u8bba<\/span>\uff08\u6216\u6839\u636eDavis-Kahan\u5b9a\u7406\uff09<\/span>\uff0c\u53ef\u4ee5\u8bc1\u660e\uff0c\u7b2ci\u4e2a\u7279\u5f81\u5411\u91cf\u7684\u7a81\u53d8\u7a33\u5b9a\u6027\u4e0e\u5b83\u6240\u5bf9\u5e94\u7684\u7279\u5f81\u503c<\/span>\uff08\u03bbi<\/sub>\uff09<\/span>\u53ca\u5176\u8fd1\u90bb\u7684\u7279\u5f81\u503c<\/span>\uff08\u03bbi-1<\/sub>\u548c\u03bbi+1<\/sub>\uff09<\/span>\u4e4b\u95f4\u7684\u8ddd\u79bb<\/span>\uff08gap\uff09<\/span>\u6709\u5173\uff0c\u5982\u679c\u8981\u6700\u5927\u5316\u7b2ci\u4e2a\u7279\u5f81\u5411\u91cf\u7684\u7a33\u5b9a\u6027\uff0c\u90a3\u4e48\u6211\u4eec\u9700\u8981\u6700\u5927\u5316\u03bbi\u548c\u5b83\u76f8\u90bb\u7684\u7279\u5f81\u503c\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u5982\u679c\u6211\u4eec\u5e0c\u671b\u8ba9\u6240\u6709\u7684\u7279\u5f81\u5411\u91cf\u90fd\u5c3d\u53ef\u80fd\u7a33\u5b9a\uff0c\u90a3\u4e48\u6211\u4eec\u9700\u8981\u8ba9\u632f\u52a8\u8c31\u4e2d\uff0c\u5404\u4e2a\u7279\u5f81\u503c\u4e0e\u5b83\u7684\u8fd1\u90bb\u503c\u4e4b\u95f4\u7684\u6700\u5c0f\u8ddd\u79bb\u6700\u5927\u5316\u3002\u800c\u8981\u6700\u5927\u5316\u8fd9\u4e2a\u6700\u5c0f\u8ddd\u79bb\uff0c\u6211\u4eec\u6240\u671f\u5f85\u7684\u662f\u4e00\u4e2a\u5747\u5300\u7684\u7279\u5f81\u503c\u5206\u5e03\u3002<\/span><\/p>\n


<\/p>\n

\u4ece\u4e0a\u9762\u7684\u8ba8\u8bba\u4e2d\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u5982\u679c\u5e0c\u671b\u6700\u5927\u5316\u4e00\u4e2a\u7cfb\u7edf\u7684\u201c\u529f\u80fd\u654f\u611f\u6027\u201d\uff0c \u6211\u4eec\u5e0c\u671b\u8fd9\u4e2a\u5206\u5b50\u7684\u632f\u52a8\u8c31\u4e2d\u6709\u5927\u91cf\u96c6\u4e2d\u5728\u63a5\u8fd10\u7684\u7279\u5f81\u503c\uff1b\u5982\u679c\u5e0c\u671b\u6700\u5927\u5316\u4e00\u4e2a\u7cfb\u7edf\u7684\u201c\u7a81\u53d8\u7a33\u5b9a\u6027\u201d\uff0c\u6211\u4eec\u5e0c\u671b\u5f97\u5230\u4e00\u4e2a\u5747\u5300\u7684\u7279\u5f81\u503c\u5206\u5e03\u3002\u8fd9\u4e24\u4e2a\u4f18\u5316\u7684\u76ee\u6807\u4e4b\u95f4\u5b58\u5728\u4e00\u5b9a\u7684\u77db\u76fe\u3002\u4e3a\u4e86\u5728\u8fd9\u4e24\u4e2a\u4f18\u5316\u76ee\u6807\u4e4b\u95f4\u8fbe\u6210\u67d0\u79cd\u5e73\u8861\uff0c\u6211\u4eec\u7528\u71b5\u6700\u5927\u5316\u7684\u65b9\u6cd5\uff0c\u5c06\u529f\u80fd\u654f\u611f\u6027\u4f5c\u4e3a\u4e00\u4e2a\u7ea6\u675f\u6761\u4ef6<\/span>\uff08\u9664\u6b64\u4e4b\u5916\u7684\u7ea6\u675f\u6761\u4ef6\u8fd8\u6709\u5f52\u4e00\u5316\u548c\u7cfb\u7edf\u7684\u603b\u80fd\u91cf\u6216\u8005\u8bf4\u603b\u8fde\u8fb9\u6570\u56fa\u5b9a\uff09<\/span>\uff0c\u6700\u5927\u5316\u7cfb\u7edf\u7684\u7a81\u53d8\u7a33\u5b9a\u6027<\/span>\uff08\u4e5f\u53ef\u4ee5\u53cd\u8fc7\u6765\u505a\uff09<\/span>\uff0c\u6700\u7ec8\u5f97\u5230\u4e86\u4e00\u4e2a\u5e42\u5f8b<\/span>\uff08power-law\uff09<\/span>\u7684\u7279\u5f81\u503c\u5206\u5e03\u3002\u4f17\u6240\u5468\u77e5\uff0c\u5e42\u5f8b\u662f\u4e34\u754c\u73b0\u8c61\u7684\u4e00\u4e2a\u91cd\u8981\u7279\u5f81\uff0c\u8fd9\u4e00\u7ed3\u679c\u4ece\u7406\u8bba\u7684\u89d2\u5ea6\u8bc1\u660e\u4e86\u4e34\u754c\u6027\u5bf9\u4e8e\u86cb\u767d\u8d28\u7cfb\u7edf\u7684\u91cd\u8981\u610f\u4e49\uff0c\u5b83\u4e0d\u4ec5\u4fdd\u8bc1\u4e86\u86cb\u767d\u8d28\u7cfb\u7edf\u5bf9\u4e8e\u5916\u754c\u6270\u52a8\u7684\u654f\u611f\u6027\uff0c\u4e5f\u8ba9\u86cb\u767d\u8d28\u5206\u5b50\u672c\u8eab\u7684\u8fdb\u5316\u53d8\u5f97\u66f4\u52a0\u7a33\u5b9a\u3002<\/span><\/p>\n


<\/p>\n

<\/p>\n

\u56fe4. \u540c\u65f6\u8003\u8651\u86cb\u767d\u8d28\u7684\u529f\u80fd\u654f\u611f\u6027\uff08\u8981\u6c42\u5c3d\u53ef\u80fd\u591a\u7684\u4f4e\u9891\u6a21\u5f0f\uff09\u548c\u7a81\u53d8\u7a33\u5b9a\u6027\uff08\u8981\u6c42\u7279\u5f81\u503c\u5747\u5300\u5206\u5e03\uff09\u4e24\u4e2a\u6761\u4ef6\uff0c\u5c06\u4f1a\u5f97\u5230\u5e42\u5f8b\u5206\u5e03<\/span><\/section>\n


<\/p>\n

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<\/strong><\/span><\/p>\n

4. \u751f\u7269\u7cfb\u7edf\u52a8\u529b\u5b66\u4e2d\u7684\u4f4e\u7ef4\u7279\u6027<\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

 <\/span><\/p>\n

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<\/p>\n

\u6211\u4eec\u6765\u770b\u4e0b\u9762\u4e00\u4e2a\u4f8b\u5b50\uff0c\u8fd9\u4e2a\u4f8b\u5b50\u4e5f\u5e38\u5e38\u88ab\u7528\u6765\u63cf\u8ff0\u673a\u5668\u5b66\u4e60\u7cfb\u7edf\u7684\u6cdb\u5316\u95ee\u9898[5]\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u56fe\u4e2d\u7684\u9ed1\u8272\u5b9e\u7ebf\u4ee3\u8868\u7740\u4e00\u4e2a1\u7ef4\u7684\u80fd\u91cf\u9762\uff0c\u5728\u8fd9\u4e2a\u80fd\u91cf\u9762\u4e0a\u6709\u4e24\u4e2a\u80fd\u91cf\u6781\u5c0f\u503c\u70b9<\/span>\uff08\u4e24\u4e2a\u52bf\u9631\uff09<\/span>\uff0c\u5176\u4e2d\u5de6\u8fb9\u7684\u4e00\u4e2a\u6bd4\u8f83\u9661\u5ced<\/span>\uff08\u6781\u5c0f\u70b9\u9644\u8fd1\u66f2\u7387\u8f83\u5927\uff09<\/span>\uff0c\u53e6\u4e00\u4e2a\u5219\u6bd4\u8f83\u5e73\u5766<\/span>\uff08\u6781\u5c0f\u70b9\u9644\u8fd1\u66f2\u7387\u8f83\u5c0f\uff09<\/span>\u3002\u5f53\u5c0f\u7403\u843d\u5728\u6bd4\u8f83\u9661\u5ced\u7684\u52bf\u9631\u4e2d\u65f6\uff0c\u5982\u679c\u7ed9\u5b83\u4e00\u4e9b\u6270\u52a8\uff0c\u5c0f\u7403\u7684\u8fd0\u52a8<\/span>\uff08\u6da8\u843d\uff09<\/span>\u662f\u6bd4\u8f83\u5c0f\u7684<\/span>\uff08\u5982\u56fe\u4e2d\u68d5\u8272\u865a\u7ebf\u6240\u793a\uff09<\/span>\uff0c\u800c\u5f53\u5c0f\u7403\u843d\u5728\u6bd4\u8f83\u5e73\u5766\u7684\u52bf\u9631\u4e2d\u65f6\uff0c\u7ed9\u5c0f\u7403\u540c\u6837\u5927\u5c0f\u7684\u6270\u52a8\uff0c\u90a3\u4e48\u5b83\u53ef\u4ee5\u6709\u6bd4\u8f83\u5927\u7684\u6da8\u843d\u5e45\u5ea6\u3002\u8fd9\u91cc\uff0c\u6211\u4eec\u6240\u8ba8\u8bba\u7684\u6270\u52a8\u90fd\u4e0e\u80fd\u91cf\u9762<\/span>\uff08\u7cfb\u7edf\uff09<\/span>\u672c\u8eab\u65e0\u5173\uff0c\u8fd9\u79cd\u6270\u52a8\u6765\u81ea\u4e8e\u7cfb\u7edf\u4ee5\u5916\uff0c\u56e0\u6b64\u7cfb\u7edf\u5bf9\u6270\u52a8\u7684\u654f\u611f\u6027\u4f53\u73b0\u4e3a\u201c\u529f\u80fd\u654f\u611f\u6027\u201d\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u8003\u8651\u5bf9\u7cfb\u7edf<\/span>\uff08\u80fd\u91cf\u9762\uff09<\/span>\u672c\u8eab\u4f5c\u6270\u52a8\uff0c\u4f8b\u5982\u5bf9\u80fd\u91cf\u9762\u4f5c\u4e00\u4e2a\u5c0f\u5c0f\u7684\u5e73\u79fb<\/span>\uff08\u79fb\u52a8\u5230\u6d45\u84dd\u8272\u7684\u66f2\u7ebf\uff09<\/span>\uff0c\u5982\u679c\u6270\u52a8\u524d\u540e\uff0c\u539f\u52bf\u9631\u9644\u8fd1\u7684\u80fd\u91cf\u53d8\u5316\u5f88\u5c0f\uff0c\u5c31\u8bf4\u660e\u5728\u8fd9\u4e2a\u52bf\u9631\u9644\u8fd1\uff0c\u7cfb\u7edf\u662f\u7a81\u53d8\u7a33\u5b9a\u7684\uff0c\u53cd\u4e4b\u5219\u662f\u7a81\u53d8\u654f\u611f\u7684\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u9661\u5ced\u7684\u52bf\u9631\u7ecf\u8fc7\u5e73\u79fb\uff0c\u539f\u5148\u80fd\u91cf\u6781\u5c0f\u503c\u70b9\u7684\u80fd\u91cf\u589e\u52a0\u4e86\u8bb8\u591a\uff0c\u662f\u7a81\u53d8\u654f\u611f\u7684\uff1b\u800c\u5e73\u7f13\u7684\u52bf\u9631\u5728\u7ecf\u8fc7\u5e73\u79fb\u4e4b\u540e\uff0c\u80fd\u91cf\u7684\u6539\u53d8\u5f88\u5c0f\uff0c\u56e0\u6b64\u662f\u7a81\u53d8\u7a33\u5b9a\u7684\u3002<\/span><\/p>\n


<\/p>\n

<\/p>\n

\u56fe5. \u5728\u4f4e\u81ea\u7531\u5ea6\u7684\u7cfb\u7edf\u4e2d\uff0c\u529f\u80fd\u654f\u611f\u6027\u548c\u7a81\u53d8\u7a33\u5b9a\u6027\u4e8c\u8005\u662f\u7b49\u4ef7\u7684<\/span><\/section>\n


<\/p>\n

\u4e0a\u9762\u7684\u8fd9\u4e2a\u4f8b\u5b50\u5982\u679c\u7528\u6570\u5b66\u8bed\u8a00\u6765\u8bf4\u7684\u8bdd\uff0c\u7cfb\u7edf\u5bf9\u5916\u754c\u6270\u52a8\u7684\u654f\u611f\u6027\u53ef\u4ee5\u7528\u52bf\u51fd\u6570\u5bf9\u53d8\u91cf\uff08variable\uff09<\/strong>\u7684\u4e8c\u9636\u5bfc\u6570<\/span>\uff08\u4e0e\u6211\u4eec\u524d\u9762\u63d0\u5230\u7684\u201c\u66f2\u7387\u201d\u76f8\u5173\uff09<\/span>\u6765\u63cf\u8ff0\uff1b\u7cfb\u7edf\u5bf9\u5185\u90e8\u6270\u52a8\u7684\u7a33\u5b9a\u6027\u6027\u53ef\u4ee5\u7528\u52bf\u51fd\u6570\u5bf9\u53c2\u6570\uff08parameter\uff09<\/strong>\u7684\u4e8c\u9636\u5bfc\u6570\u6765\u63cf\u8ff0\uff0c\u524d\u8005\u5bf9\u5e94\u4e8e\u52bf\u51fd\u6570\u5bf9\u53d8\u91cf<\/strong>\u7684Hessian\u77e9\u9635\uff1b\u540e\u8005\u5bf9\u5e94\u4e8e\u52bf\u51fd\u6570\u5bf9\u53c2\u6570<\/strong>\u7684Hessian\u77e9\u9635\uff0c\u800c\u5b83\u5728\u7edf\u8ba1\u5b66\u4e2d\u5bf9\u5e94\u4e8eFisher\u4fe1\u606f\u77e9\u9635\uff0c\u8fd9\u91cc\u6211\u4eec\u4e0d\u518d\u5ef6\u4f38\u8ba8\u8bba\u3002\u603b\u4e4b\uff0c\u7efc\u5408\u4ee5\u4e0a\u7684\u7ed3\u679c\uff0c\u6211\u4eec\u53d1\u73b0\uff0c\u5728\u8fd9\u6837\u4e00\u4e2a\u4f4e\u81ea\u7531\u5ea6\u7684\u7cfb\u7edf\u4e2d\uff0c\u529f\u80fd\u654f\u611f\u6027<\/span>\uff08\u7cfb\u7edf\u5bf9\u5916\u754c\u6270\u52a8\u7684\u654f\u611f\u6027\uff09<\/span>\u4e0e\u7a81\u53d8\u7a33\u5b9a\u6027<\/span>\uff08\u7cfb\u7edf\u5bf9\u5185\u90e8\u6270\u52a8\u7684\u7a33\u5b9a\u6027\uff09<\/span>\u662f\u8054\u7cfb\u5728\u4e00\u8d77\u7684\uff0c\u751a\u81f3\u53ef\u4ee5\u8bf4\u662f\u7b49\u4ef7\u7684<\/span>\uff08\u8bc1\u660e\u7565\uff09<\/span>\u3002<\/span><\/p>\n


<\/p>\n

\u6211\u4eec\u4e5f\u53ef\u4ee5\u4ece\u4e0a\u4e00\u8282\u4e2d\u6240\u4ecb\u7ecd\u7684\u7279\u5f81\u503c\u7684\u76f8\u5173\u7279\u6027\u6765\u8bf4\u660e\u8fd9\u79cd\u7b49\u4ef7\u6027\u3002\u6211\u4eec\u8003\u8651\u4e00\u4e2a\u4e8c\u80fd\u7ea7\u7cfb\u7edf\uff0c\u5b83\u672c\u8eab\u7684\u4e24\u4e2a\u7279\u5f81\u503c\u4e3aE1<\/sub>\u548cE2<\/sub>\uff0cE1<\/sub>\u2264E2<\/sub>\uff0c\u6211\u4eec\u8003\u8651\u56fa\u5b9a\u8fd9\u4e24\u4e2a\u7279\u5f81\u503c\u7684\u548c\uff0c\u8fd9\u76f8\u5f53\u4e8e\u56fa\u5b9a\u4e86\u7cfb\u7edf\u7684\u603b\u80fd\u91cf<\/span>\uff08\u5728\u5f39\u6027\u7f51\u7edc\u4e2d\u5bf9\u5e94\u4e8e\u603b\u8fb9\u6570\uff0c\u8bc1\u660e\u7565\uff09<\/span>\u3002\u5982\u679c\u8981\u6700\u5927\u5316\u8fd9\u4e2a\u7cfb\u7edf\u7684\u7a81\u53d8\u7a33\u5b9a\u6027\uff0c\u6b63\u5982\u4e4b\u524d\u8ba8\u8bba\u7684\uff0c\u9700\u8981\u6700\u5927\u5316\u8fd9\u4e2a\u7cfb\u7edf\u4e24\u4e2a\u503c\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u800c\u5982\u679c\u8981\u6700\u5927\u5316\u7cfb\u7edf\u7684\u529f\u80fd\u654f\u611f\u6027\uff0c\u6211\u4eec\u5219\u5e0c\u671b\u6700\u5c0f\u5316\u5176\u4e2d\u8f83\u5c0f\u7684\u7279\u5f81\u503c\uff0c\u8ba9\u5b83\u5c3d\u53ef\u80fd\u63a5\u8fd1\u4e8e0\uff0c\u8fd9\u6837\u8be5\u6a21\u5f0f\u6240\u5bf9\u5e94\u7684\u8fd0\u52a8\u5c31\u53ef\u4ee5\u88ab\u5f88\u5c0f\u7684\u6270\u52a8\u800c\u6fc0\u53d1\u3002\u5728\u8fd9\u4e2a\u4ec5\u6709\u5f88\u5c0f\u81ea\u7531\u5ea6\u7684\u4f53\u7cfb\u4e2d\uff0c\u4e0d\u7ba1\u662f\u6700\u5927\u5316\u529f\u80fd\u654f\u611f\u6027\u8fd8\u662f\u7a81\u53d8\u7a33\u5b9a\u6027\uff0c\u6211\u4eec\u90fd\u9700\u8981\u6700\u5927\u5316\u7279\u5f81\u503c\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002<\/span><\/p>\n


<\/p>\n

\u5bf9\u4e8e\u8f83\u591a\u81ea\u7531\u5ea6\u7684\u7cfb\u7edf\uff0c\u60c5\u51b5\u5f53\u7136\u4f1a\u6bd4\u8fd9\u66f4\u590d\u6742\uff0c\u5728\u4e0a\u4e00\u8282\u4e2d\uff0c\u6211\u4eec\u7528\u71b5\u6700\u5927\u5316\u7684\u65b9\u6cd5\u8ba8\u8bba\u4e86\u76f8\u5173\u7684\u95ee\u9898\u3002\u6709\u610f\u601d\u7684\u662f\uff0c\u5982\u679c\u6211\u4eec\u4ece\u771f\u5b9e\u7684\u86cb\u767d\u8d28\u7ed3\u6784\u51fa\u53d1\uff0c\u642d\u5efa\u5f39\u6027\u7f51\u7edc\u6a21\u578b\uff0c\u5e76\u8ba1\u7b97\u5176\u632f\u52a8\u8c31\u5206\u5e03\uff0c\u63a5\u7740\uff0c\u6211\u4eec\u53ef\u4ee5\u5206\u522b\u8ba1\u7b97\u51fa\u8fd9\u4e2a\u4f53\u7cfb\u7684\u529f\u80fd\u654f\u611f\u6027<\/span>\uff08\u7528\u7279\u5f81\u503c\u7684\u4e58\u79ef\u8868\u793a\uff09<\/span>\u548c\u7a81\u53d8\u7a33\u5b9a\u6027<\/span>\uff08\u7528\u7279\u5f81\u503c\u7684\u5dee\u8868\u793a\uff09<\/span>\u3002\u6709\u610f\u601d\u7684\u662f\uff0c\u6211\u4eec\u53d1\u73b0\uff0c\u86cb\u767d\u8d28\u5206\u5b50\u7684\u529f\u80fd\u654f\u611f\u6027\u548c\u7a81\u53d8\u7a33\u5b9a\u6027\u4e8c\u8005\u662f\u6210\u6b63\u6bd4\u7684\u3002\u8fd9\u4e2a\u73b0\u8c61\u770b\u8d77\u6765\u5f88\u7b80\u5355\uff0c\u4f46\u4ed4\u7ec6\u60f3\u60f3\uff0c\u5374\u4e0d\u90a3\u4e48\u7b80\u5355\uff0c\u56e0\u4e3a\u5982\u679c\u6211\u4eec\u968f\u673a\u9009\u62e9\u4e24\u4e2a\u6570\u5b57\uff0c\u663e\u7136\u4e0d\u53ef\u80fd\u4fdd\u8bc1\u8fd9\u4e24\u4e2a\u6570\u7684\u4e58\u79ef\u8ddf\u5dee\u7684\u7edd\u5bf9\u503c<\/span>\uff08\u6216\u8005\u5546\uff09<\/span>\u6210\u6b63\u6bd4\u3002\u8fd9\u4e2a\u7ed3\u679c\u8868\u660e\uff0c\u770b\u8d77\u6765\u6709\u5f88\u591a\u81ea\u7531\u5ea6\u7684\u86cb\u767d\u8d28\u4f53\u7cfb\uff0c\u5176\u5b9e\u8ddf\u524d\u9762\u63d0\u5230\u7684\u4e8c\u80fd\u7ea7\u7cfb\u7edf\u7c7b\u4f3c\uff0c\u770b\u8d77\u6765\u6709\u8bb8\u591a\u81ea\u7531\u5ea6\u7684\u86cb\u767d\u8d28\u52a8\u529b\u5b66\u548c\u8fdb\u5316\u73b0\u8c61\uff0c\u5176\u5b9e\u662f\u975e\u5e38\u4f4e\u7ef4\u7684\u3002<\/span><\/p>\n


<\/span><\/p>\n

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\u56fe6. \u771f\u5b9e\u7684\u86cb\u767d\u8d28\u7ed3\u6784\u6570\u636e\u4e5f\u8868\u660e\u529f\u80fd\u654f\u611f\u6027\u548c\u7a81\u53d8\u7a33\u5b9a\u6027\u4e8c\u8005\u6210\u6b63\u6bd4<\/span><\/section>\n


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\u5728\u86cb\u767d\u8d28\u5206\u5b50\u4ee5\u5916\uff0c\u8bb8\u591a\u5176\u5b83\u751f\u7269\u7cfb\u7edf\u4e5f\u5e38\u5e38\u8868\u73b0\u51fa\u4f4e\u7ef4\u7279\u6027\uff0c\u8fd9\u79cd\u73b0\u8c61\u5e76\u4e0d\u96be\u7406\u89e3\u3002\u9996\u5148\uff0c\u4e24\u4e2a\u539f\u672c\u72ec\u7acb\u7684\u81ea\u7531\u5ea6\u53ef\u80fd\u901a\u8fc7\u7ea6\u675f\u6761\u4ef6\uff0c\u76f4\u63a5\u53d8\u6210\u975e\u72ec\u7acb\u7684\u81ea\u7531\u5ea6\uff0c\u800c\u751f\u547d\u4f5c\u4e3a\u4e00\u4e2a\u590d\u6742\u7cfb\u7edf\uff0c\u5185\u90e8\u6709\u6d77\u91cf\u7684\u7ea6\u675f\uff0c\u8fd9\u4e9b\u7ea6\u675f\u4e0d\u662f\u8ba9\u7cfb\u7edf\u7684\u81ea\u7531\u5ea6\u589e\u52a0\uff0c\u800c\u662f\u8ba9\u7cfb\u7edf\u7684\u81ea\u7531\u5ea6\u964d\u4f4e\u3002\u5176\u6b21\uff0c\u751f\u547d\u7cfb\u7edf\u7684\u5185\u90e8\u4e5f\u8fd8\u6709\u8bb8\u591a\u5176\u5b83\u7269\u7406\u7684\u7ea6\u675f\uff0c\u4f8b\u5982\u5bf9\u79f0\u6027\u3001\u51e0\u4f55\u7a7a\u95f4\u6216\u8005\u51e0\u4f55\u7ef4\u5ea6\u7684\u7ea6\u675f\u3001\u80fd\u91cf\u7684\u7ea6\u675f\u7b49\u7b49\uff0c\u8fd9\u4e9b\u7ea6\u675f\u4e5f\u8ba9\u751f\u7269\u7cfb\u7edf\u7684\u5b9e\u9645\u81ea\u7531\u5ea6\u6570\u5927\u5927\u5730\u964d\u4f4e\u4e86\u3002<\/span><\/p>\n


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\u53c2\u8003\u6587\u732e\uff1a<\/span><\/strong><\/p>\n

[1] <\/span>Hatakeyama, T. S., & Kaneko, K. (2015). Reciprocity between robustness of period and plasticity of phase in biological clocks.  Physical Review Letters, 115(21), 218101.<\/span><\/p>\n

[2] <\/span>Tang, Q. Y., Hatakeyama, T. S., & Kaneko, K. (2020). Functional sensitivity and mutational robustness of proteins. Physical Review Research, 2(3), 033452.<\/span><\/p>\n

[3] <\/span>Tang, Q. Y., Zhang, Y. Y., Wang, J., Wang, W., & Chialvo, D. R. (2017). Critical fluctuations in the native state of proteins. Physical Review Letters, 118(8), 088102.<\/span><\/p>\n

[4] Bahar, I., Lezon, T. R., Yang, L. W., & Eyal, E. (2010). Global dynamics of proteins: bridging between structure and function. Annual Review of Biophysics, 39: 23-42<\/span><\/p>\n

[5] Keskar, N. S., Mudigere, D., Nocedal, J., Smelyanskiy, M., & Tang, P. T. P. (2016). On large-batch training for deep learning: Generalization gap and sharp minima. arXiv preprint arXiv:1609.04836.<\/span><\/p>\n

[6] Sato, T. U., & Kaneko, K. (2020). Evolutionary dimension reduction in phenotypic space. Physical Review Research, 2(1), 013197.<\/span><\/p>\n


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\u5546\u52a1\u5408\u4f5c\u53ca\u6295\u7a3f\u8f6c\u8f7d\uff5cswarma@swarma.org
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