

{"id":37289,"date":"2021-09-27T10:30:07","date_gmt":"2021-09-27T02:30:07","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=37289"},"modified":"2021-10-04T19:37:43","modified_gmt":"2021-10-04T11:37:43","slug":"%e4%ba%ba%e5%b7%a5%e6%99%ba%e6%85%a7%e6%b5%aa%e6%bd%ae%e4%b8%8b%e7%9a%84%e6%95%b8%e5%ad%b8%e6%95%99%e8%82%b2%ef%bc%88%e4%b8%8a%ef%bc%89","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=37289","title":{"rendered":"\u4eba\u5de5\u667a\u6167\u6d6a\u6f6e\u4e0b\u7684\u6578\u5b78\u6559\u80b2\uff08\u4e0a\uff09"},"content":{"rendered":"<p><span style=\"color: #333399;\"><strong>\u5728\u4eba\u5de5\u667a\u6167\uff08Artificial Intelligence\uff0cAI\uff09\u7684\u98a8\u6f6e\u4e0b\uff0c\u6578\u5b78\u79d1\u666e\u3001\u6559\u80b2\u6216\u8005\u751a\u81f3\u6578\u5b78\u672c\u8eab\uff0c\u5fae\u5999\u5730\u9677\u5165\u4e00\u500b\u5c37\u5c2c\u7684\u8655\u5883\uff1b\u6216\u8005\u61c9\u8a72\u8aaa\uff0c\u9677\u5165\u5169\u500b\u5c37\u5c2c\u8655\u5883\u3002<\/strong><\/span><\/p>\n<p><strong>\u64b0\u6587\uff0f\u9b4f\u6fa4\u4eba\uff08\u570b\u7acb\u967d\u660e\u4ea4\u901a\u5927\u5b78\u667a\u6167\u8a08\u7b97\u8207\u79d1\u6280\u7814\u7a76\u6240\u526f\u6559\u6388\uff09<\/strong><br \/>\n<strong>\u8f49\u8f09\u81ea\u300a\u79d1\u5b78\u6708\u520a\u300b2018\u5e744\u6708\u7b2c580\u671f<\/strong><!--more--><\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf<\/strong><\/span><span style=\"color: #008080;\"><strong>\u6211\u5011\u66fe\u5b78\u904e\u7684\u6578\u5b78\uff0c\u7a76\u7adf\u5c0d\u4eba\u751f\u6709\u4ec0\u9ebc\u5e6b\u52a9\uff1f<\/strong><\/span><\/p>\n<p>\u7b2c\u4e00\u500b\u5c37\u5c2c\u9ede\u662f\uff0c\u6578\u5b78\u7684\u5be6\u7528\u6027\u8b8a\u5f97\u5341\u5206\u660e\u986f\uff0c\u660e\u986f\u5230\u4ee4\u4eba\u5c37\u5c2c\u3002\u5b78\u6578\u5b78\u7684\u4eba\uff0c\u5e38\u6703\u807d\u5230\u4eba\u554f\uff1a\u300c\u5b78\u6578\u5b78\u6709\u4ec0\u9ebc\u7528\uff1f\u300d\u3001\u300c\u6211\u9ad8\u4e2d\u6578\u5b78\u90fd\u5fd8\u5149\u4e86\uff0c\u9084\u4e0d\u662f\u6d3b\u5f97\u597d\u597d\u7684\uff1f\u300d\u3001\u300c\u5de5\u4f5c\u4e0a\u597d\u50cf\u5b8c\u5168\u6c92\u7528\u5230\u3002\u300d\u3001\u300c\u6211\u5beb\u7a0b\u5f0f\u9019\u9ebc\u4e45\u4e86\uff0c\u4e5f\u6c92\u7528\u5230\u4ec0\u9ebc\u6578\u5b78\u3002\u300d<\/p>\n<p>\u7576\u7136\uff0c\u5167\u884c\u4eba\u90fd\u77e5\u9053\u6578\u5b78\u5728\u79d1\u5b78\u3001\u6280\u8853\u3001\u5de5\u7a0b\u4e2d\uff0c\u61c9\u7528\u5341\u5206\u5ee3\u6cdb\u3002\u7279\u5225\u5728\u7db2\u8def\u6642\u4ee3\uff0c\u7db2\u8def\u52a0\u5bc6\u3001\u96fb\u8166\u904b\u7b97\u3001\u5f71\u50cf\u58d3\u7e2e\uff0c\u751a\u81f3\u7db2\u9801\u548c\u61c9\u7528\u7a0b\u5f0f\u7684\u81ea\u52d5\u6392\u7248\u90fd\u5f97\u7528\u5230\u6578\u5b78\u3002\u5373\u4f7f\u9023\u7167\u7247\u7de8\u4fee\u9019\u7a2e\u5c6c\u65bc\u85dd\u8853\u6587\u5316\u7684\u6d3b\u52d5\uff0c\u5176\u4e2d\u7684\u5716\u5c64\u64cd\u4f5c\u5c31\u5305\u542b\u4e86\u5411\u91cf\u6982\u5ff5\uff0c\u8abf\u8272\u76e4\u6703\u770b\u523016 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style=\"color: #008080;\"><strong>\u25cf\u5728\u9019\u500b\u6642\u4ee3\u88e1\uff0c\u6578\u5b78\u80fd\u70ba\u4f55\u6240\u7528\uff1f<\/strong><\/span><\/p>\n<p>\u5728\u6df1\u5ea6\u5b78\u7fd2\u53ca\u4eba\u5de5\u667a\u6167\u6210\u70ba\u986f\u5b78\u7684\u4eca\u65e5\uff0c\u60c5\u5f62\u5df2\u7d93\u6709\u6240\u4e0d\u540c\uff1b\u539f\u4f86\u96b1\u85cf\u7684\u9b54\u6cd5\u4e16\u754c\u5c31\u50cf\u7a81\u7136\u66dd\u5149\u4f3c\u7684\uff0c\u6578\u5b78\u7684\u7528\u9014\u8b8a\u5f97\u986f\u800c\u6613\u898b\u3002<\/p>\n<p>\u96fb\u8166\u5de5\u7a0b\u5e2b\u5011\u91cd\u65b0\u62ff\u8d77\u7d71\u8a08\u3001\u5fae\u7a4d\u5206\u53ca\u7dda\u6027\u4ee3\u6578\u8ab2\u672c\uff0c\u60f3\u8981\u4e86\u89e3\u73fe\u4ee3\u7684\u4eba\u5de5\u667a\u6167\u5728\u73a9\u4ec0\u9ebc\u628a\u6232\u3002\u73fe\u4ee3\u4eba\u5de5\u667a\u6167\u7684\u9818\u8ecd\u4eba\u7269\u4e4b\u4e00\u52d2\u4e18\u6069\uff08Yann LeCun\uff09\u8aaa\u300c\u4eba\u5de5\u667a\u6167\u5c31\u662f\u6578\u5b78\u300d\uff08Artificial intelligence is all about math.\uff09\uff0c\u4ed6\u7d66\u60f3\u5f9e\u6df1\u5165\u4eba\u5de5\u667a\u6167\u9818\u57df\u5927\u5b78\u751f\u7684\u5efa\u8b70\u662f\uff1a\u300c\u5982\u679c\u5728\u300eiOS\u7a0b\u5f0f\u8a2d\u8a08\u300f\u53ca\u300e\u91cf\u5b50\u529b\u5b78\u300f\u4e2d\u8981\u9078\u4e00\u9580\u8ab2\u4f86\u4fee\u7684\u8a71\uff0c\u9078\u91cf\u5b50\u529b\u5b78\uff0c\u4e14\u4e00\u5b9a\u8981\u9078\u4fee\u5fae\u7a4d\u5206\u4e00\u3001\u5fae\u7a4d\u5206\u4e8c\u3001\u5fae\u7a4d\u5206\u4e09\u2026\u2026\u3001\u7dda\u6027\u4ee3\u6578\u3001\u6a5f\u7387\u8207\u7d71\u8a08\uff0c\u548c\u76e1\u53ef\u80fd\u7684\u591a\u9078\u7269\u7406\u8ab2\u7a0b\u3002\u5373\u4fbf\u5982\u6b64\uff0c\u6700\u91cd\u8981\u7684\u9084\u662f\u8981\u6703\u5beb\u7a0b\u5f0f\u3002\u300d<\/p>\n<p>\u5927\u773e\u80fd\u8a8d\u540c\u6578\u5b78\u7684\u5be6\u7528\u6027\u548c\u597d\u8655\uff0c\u5c0d\u6578\u5b78\u63a8\u5ee3\u4f86\u8aaa\uff0c\u81ea\u7136\u662f\u597d\u4e8b\uff1b\u554f\u984c\u662f\uff0c\u8fa6\u5230\u9019\u4ef6\u4e8b\u60c5\u7684\u4eba\uff0c\u4e0d\u662f\u6578\u5b78\u5bb6\u548c\u6578\u5b78\u8001\u5e2b\u3002\u9664\u4e86\u60c5\u6cc1\u6709\u4e9b\u56f0\u7a98\u5916\uff0c\u4e4b\u524d\u5927\u8a00\u4e0d\u615a\u300c\u7121\u7528\u4e4b\u7528\u662f\u70ba\u5927\u7528\u300d\u4e4b\u985e\u7684\u8b1b\u6cd5\uff0c\u76f8\u5f62\u4e4b\u4e0b\u66f4\u52a0\u7a7a\u865b\u5bc2\u5bde\uff0c\u800c\u6578\u5b78\u904a\u6232\u3001\u9b54\u8853\u7b49\u7b49\u89aa\u6c11\u7684\u65b9\u5f0f\uff0c\u76f8\u5f62\u4e4b\u4e0b\u4e5f\u8b8a\u5f97\u592a\u904e\u53ef\u611b\uff0c\u751a\u81f3\u6709\u9ede\u591a\u9918\u3002\u6487\u958b\u9762\u5b50\u5c64\u9762\uff0c\u66f4\u5be6\u969b\u554f\u984c\u662f\uff0c\u5927\u90e8\u5206\u6578\u5b78\u8001\u5e2b\u4e0d\u898b\u5f97\u6e05\u695a\u4eba\u5de5\u667a\u6167\u7684\u9032\u5c55\u4ee5\u53ca\u6578\u5b78\u5728\u5176\u4e2d\u626e\u6f14\u7684\u89d2\u8272\u7136\u800c\u5176\u5be6\u6709\u5f88\u591a\u5730\u65b9\u80fd\u8ddf\u6578\u5b78\u8ab2\u7a0b\u9023\u7d50\u3002\u53e6\u5916\u4e00\u500b\u71b1\u9580\u7684\u6280\u8853\u2500\u2500\u300c\u5340\u584a\u93c8\u300d\uff08block chain\uff09\u4e5f\u6709\u4e00\u5806\u6578\u5b78\u8ab2\u7a0b\u5167\u5bb9\u80fd\u5920\u9023\u7d50\uff0c\u4f46\u4e26\u975e\u591a\u534a\u6578\u5b78\u6559\u5e2b\u4e0d\u719f\u6089\u3002\u4e0d\u904e\u5728\u6b64\u6211\u5011\u5148\u628a\u91cd\u9ede\u653e\u5728\u4eba\u5de5\u667a\u6167\u9019\u584a\u3002\u4eba\u5de5\u667a\u6167\u3001\u6a5f\u5668\u5b78\u7fd2\u3001\u6df1\u5ea6\u5b78\u7fd2\u88e1\uff0c\u7a76\u7adf\u7528\u5230\u4e86\u4ec0\u9ebc\u6578\u5b78\u5462\uff1f<\/p>\n<p><span style=\"color: #008080;\"><strong>\u25cf\u6975\u503c\u554f\u984c\u8207\u68af\u5ea6\u4e0b\u964d\u6cd5<\/strong><\/span><\/p>\n<p>\u5728\u6df1\u5ea6\u5b78\u7fd2\u76f8\u95dc\u7684\u6578\u5b78\u4e2d\uff0c\u6700\u5148\u88ab\u63d0\u5230\u7684\u5f80\u5f80\u662f\u300c\u68af\u5ea6\u4e0b\u964d\u6cd5\u300d\uff08gradient descent\uff09\u3002\u68af\u5ea6\uff0c\u5373gradient\uff0c\u7c21\u55ae\u4f86\u8aaa\u5c31\u662f\u591a\u8b8a\u6578\u51fd\u6578\u7684\u5fae\u5206\uff0c\u800c\u68af\u5ea6\u4e0b\u964d\u6cd5\u5ee3\u6cdb\u7528\u4f86\u8655\u7406\u300c\u6975\u503c\u554f\u984c\u300d\u3002\u5728\u6df1\u5ea6\u5b78\u7fd2\u3001\u6a5f\u5668\u5b78\u7fd2\u4e2d\u5e38\u6703\u8a2d\u8a08\u4e00\u500b\u640d\u5931\u51fd\u6578\uff08loss function\uff09\uff0c\u7528\u4f86\u8a55\u4f30\u6a5f\u5668\u6709\u591a\u63a5\u8fd1\u6211\u5011\u7684\u7406\u60f3\u76ee\u6a19\u3002\u8d8a\u63a5\u8fd1\u7406\u60f3\u7684\u884c\u70ba\uff0c\u6bd4\u65b9\u8aaa\u6587\u5b57\u8207\u5716\u7247\u8fa8\u8b58\u5f97\u8d8a\u6e96\u78ba\u3001\u4e0b\u68cb\u4e0b\u5f97\u8d8a\u597d\u3001\u7ffb\u8b6f\u5f97\u8d8a\u6b63\u78ba\uff0c\u90a3\u640d\u5931\u51fd\u6578\u7684\u503c\u5c31\u6703\u8d8a\u5c0f\uff0c\u5982\u6b64\u4e00\u4f86\u53ea\u8981\u627e\u5230\u9069\u7576\u7684\u53c3\u6578\uff0c\u8b93\u640d\u5931\u51fd\u6578\u76e1\u91cf\u5c0f\uff0c\u90a3\u6a5f\u5668\u5c31\u80fd\u57f7\u884c\u6211\u5011\u5e0c\u671b\u7684\u884c\u70ba\u3002<\/p>\n<p>\u9019\u500b\u640d\u5931\u51fd\u6578\u4e00\u5b9a\u90fd\u662f\u6578\u5b78\u4e0a\u80fd\u8a08\u7b97\u7684\u51fd\u6578\uff0c\u800c\u9019\u5c31\u662f\u6578\u5b78\u4e0a\u6a19\u6e96\u7684\u6975\u503c\u554f\u984c\uff0c\u6709\u5f88\u591a\u65b9\u6cd5\u4f86\u8655\u7406\u3002\u5176\u5be6\u4e0d\u53ea\u662f\u6a5f\u5668\u5b78\u7fd2\u8207\u4eba\u5de5\u667a\u6167\uff0c\u8a31\u591a\u7684\u79d1\u5b78\u3001\u5de5\u7a0b\u6280\u8853\u3001\u751a\u81f3\u65e5\u5e38\u751f\u6d3b\u554f\u984c\uff0c\u90fd\u80fd\u4ee5\u6975\u503c\u554f\u984c\u7684\u5f62\u5f0f\u51fa\u73fe\u3002\u8209\u4f8b\u4f86\u8aaa\uff0c\u7576\u4f60\u5feb\u6a02\u5730\u8a08\u756b\u8457\u51fa\u9580\u65c5\u884c\uff0c\u5c31\u6703\u78b0\u5230\u597d\u5e7e\u500b\u6975\u503c\u554f\u984c\uff1a\u5728\u4f60\u6536\u62fe\u884c\u674e\u6642\uff0c\u60f3\u5728\u6709\u9650\u7684\u5305\u5305\u88e1\u585e\u5165\u6700\u591a\u7684\u7269\u54c1\uff0c\u5c31\u662f\u4e00\u500b\u6709\u540d\u7684\u7d44\u5408\u6975\u503c\u554f\u984c\u2500\u2500\u300c\u80cc\u5305\u554f\u984c\u300d\uff08Knapsack problem\uff09\uff1b\u4f60\u60f3\u8981\u7528\u6700\u77ed\u7684\u8def\u5f91\u3001\u6642\u9593\u4f86\u53c3\u89c0\u6240\u6709\u666f\u9ede\uff0c\u53c8\u6703\u78b0\u4e0a\u53e6\u5916\u4e00\u500b\u6709\u540d\u7684\u7d44\u5408\u6975\u503c\u554f\u984c\u2500\u2500\u300c\u65c5\u884c\u63a8\u92b7\u54e1\u554f\u984c\u300d\uff08Traveling salesman problem\uff09\u3002\u5169\u500b\u6975\u503c\u554f\u984c\u90fd\u4ee5\u300c\u56f0\u96e3\u300d\u805e\u540d\uff0c\u5c6c\u65bcNP\u5b8c\u5168\u554f\u984c\uff0c\u5728\u67d0\u7a2e\u7406\u8ad6\u610f\u7fa9\u4e0a\u8981\u5b8c\u6574\u89e3\u6c7a\u9019\u4e9b\u554f\u984c\uff0c\u81f3\u5c11\u8ddf\u7834\u89e3RSA\u5bc6\u78bc\u4e00\u6a23\u96e3\uff08\u4e00\u822c\u76f8\u4fe1\u662f\u6bd4\u7834\u89e3RSA\u66f4\u96e3\uff09\u3002<\/p>\n<p>\u4e0d\u904e\u9019\u5169\u500b\u554f\u984c\u90fd\u662f\u300c\u96e2\u6563\u300d\u7684\u6975\u503c\u554f\u984c\uff0c\u597d\u5728\u6df1\u5ea6\u5b78\u7fd2\u4e2d\uff0c\u6211\u5011\u8981\u8655\u7406\u7684\u640d\u5931\u51fd\u6578\u901a\u5e38\u662f\u300c\u9023\u7e8c\u300d\u7684\u3002\u800c\u5fae\u7a4d\u5206\u5c31\u662f\u8655\u7406\u300c\u9023\u7e8c\u300d\u554f\u984c\u7684\u5229\u5668\u3002\u5728\u8ac7\u5230\u6578\u5b78\u6709\u591a\u53ef\u6015\u6642\uff0c\u300c\u5fae\u7a4d\u5206\u300d\u5e38\u5e38\u88ab\u62ff\u4f86\u626e\u6f14\u864e\u59d1\u5a46\u6216\u8005\u5927\u91ce\u72fc\u9019\u7a2e\u5687\u4eba\u7684\u89d2\u8272\u3002\u4f46\u5c31\u50cf\u5275\u7acb\u73fe\u4ee3\u96fb\u8166\u8207\u535a\u5955\u8ad6\u7684\u6578\u5b78\u5bb6\u99ae\u7d10\u66fc\uff08John von Neumann\uff09\u8aaa\u7684\uff1a\u300c\u5982\u679c\u4eba\u5011\u4e0d\u76f8\u4fe1\u6578\u5b78\u5f88\u7c21\u55ae\uff0c\u90a3\u53ea\u662f\u56e0\u70ba\u4ed6\u5011\u6c92\u6709\u767c\u73fe\u751f\u6d3b\u6709\u591a\u8907\u96dc\u3002\u300d\uff0c\u771f\u8981\u6bd4\u8f03\u7684\u8a71\uff0c\u51fa\u9580\u65c5\u884c\u8981\u6bd4\u5fae\u7a4d\u5206\u8907\u96dc\u800c\u56f0\u96e3\u5f97\u591a\uff0c\u56e0\u70ba\u300c\u9023\u7e8c\u300d\u662f\u4e00\u7a2e\u898f\u5f8b\uff0c\u800c\u6709\u898f\u5f8b\u624d\u53ef\u80fd\u8b93\u554f\u984c\u8b8a\u7c21\u55ae\u3002<\/p>\n<p>\u9023\u7e8c\u6975\u503c\u554f\u984c\u4e2d\uff0c\u68af\u5ea6\u5c31\u662f\u9019\u6a23\u88ab\u5229\u7528\u7684\u3002\u5728\u6578\u5b78\u4e0a\uff0c\u6211\u5011\u77e5\u9053\u68af\u5ea6\u662f\u51fd\u6578\u503c\u4e0a\u5347\u6700\u5feb\u7684\u65b9\u5411\uff0c\u800c\u53cd\u68af\u5ea6\u65b9\u5411\u5247\u662f\u4e0b\u964d\u6700\u5feb\u7684\u65b9\u5411\uff0c\u6240\u4ee5\u6211\u5011\u53ea\u8981\u628a\u300c\u640d\u5931\u51fd\u6578\u300d\u5c0d\u6211\u5011\u60f3\u8abf\u6574\u7684\u300c\u53c3\u6578\u300d\u53bb\u5fae\u5206\u5f97\u5230\u68af\u5ea6\uff0c\u7136\u5f8c\u5c31\u77e5\u9053\u8981\u5f80\u54ea\u500b\u65b9\u5411\u53bb\u8abf\u6574\u53c3\u6578\u3001\u9032\u800c\u8b93\u640d\u5931\u51fd\u6578\u6709\u6548\u5730\u964d\u4f4e\u3002\u9019\u6a23\u7c21\u55ae\u5230\u6709\u9ede\u5929\u771f\u7684\u60f3\u6cd5\uff0c\u771f\u7684\u6709\u6548\u55ce\uff1f\u5728\u67d0\u4e9b\u5047\u8a2d\u4e0b\uff0c\u9084\u771f\u7684\u80fd\u8b93\u6211\u5011\u627e\u5230\u6700\u597d\u7684\u53c3\u6578\uff0c\u800c\u6df1\u5ea6\u5b78\u7fd2\u4e2d\u7684\u640d\u5931\u51fd\u6578\uff0c\u5176\u5be6\u5e38\u5e38\u4e0d\u5408\u4e4e\u9019\u4e9b\u5047\u8a2d\uff0c\u5c31\u50cf\u99ae\u7d10\u66fc\u8aaa\u7684\uff0c\u771f\u5be6\u751f\u6d3b\u6bd4\u6578\u5b78\u8907\u96dc\uff0c\u65e2\u7136\u6c92\u4ec0\u9ebc\u8fa6\u6cd5\u53ef\u8a00\uff0c\u5c31\u9589\u8457\u773c\u775b\u62ff\u68af\u5ea6\u4e0b\u964d\u6cd5\u4f86\u7528\u770b\u770b\u5427\uff01\u9084\u597d\uff0c\u5e38\u5e38\u4e5f\u80fd\u5f97\u5230\u5920\u597d\u7684\u7d50\u679c\u3002<\/p>\n<p>\u5728\u9019\u500b\u57fa\u790e\u4e0a\uff0c\u5c07\u539f\u59cb\u68af\u5ea6\u4e0b\u964d\u6cd5\u505a\u4e86\u4e00\u4e9b\u6539\u826f\uff0c\u8abf\u6574\u6bcf\u6b21\u4e0b\u5761\u7684\u5e45\u5ea6\uff0c\u5c31\u662f\u73fe\u4eca\u6df1\u5ea6\u5b78\u7fd2\u5927\u91cf\u4f7f\u7528\u7684\u65b9\u5f0f\u3002\u6b64\u5916\uff0c\u9664\u4e86\u68af\u5ea6\u4e0b\u964d\u6cd5\u9019\u985e\u7684\u4e00\u6b21\u5fae\u5206\u65b9\u6cd5\u5916\uff0c\u5229\u7528\u4e8c\u6b21\u5fae\u5206\u7684\u725b\u9813\u6cd5\u53ca\u7528\u8fd1\u4f3c\u4e8c\u6b21\u5fae\u5206\u7684\u64ec\u725b\u9813\u6cd5\u4e5f\u5e38\u5e38\u7528\u4f86\u89e3\u6c7a\u6975\u503c\u554f\u984c\u3002\u5728\u6df1\u5ea6\u5b78\u7fd2\u4e2d\uff0c\u50cf\u662f\u5716\u7247\u756b\u98a8\u8f49\u79fb\uff0c\u6709\u6642\u4e5f\u6703\u5229\u7528\u9019\u4e9b\u65b9\u6cd5\u3002(<a href=\"http:\/\/case.ntu.edu.tw\/blog\/?p=37292\">\u5f85\u7e8c<\/a>)<\/p>\n<p style=\"text-align: center;\"><span style=\"color: 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