{"id":573,"date":"2023-07-29T10:55:33","date_gmt":"2023-07-29T02:55:33","guid":{"rendered":"https:\/\/blog.cirno.fun\/?p=573"},"modified":"2025-03-19T00:31:35","modified_gmt":"2025-03-18T16:31:35","slug":"chap8-%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0%e8%af%8a%e6%96%ad","status":"publish","type":"post","link":"https:\/\/blog.sssn.tech\/?p=573","title":{"rendered":"[Chap8]-\u673a\u5668\u5b66\u4e60\u8bca\u65ad"},"content":{"rendered":"<p>\u8fd9\u4e00\u8282\u7684\u6807\u9898\u53eb\u201c\u673a\u5668\u5b66\u4e60\u8bca\u65ad\u201d, \u611f\u89c9\u5f88\u62bd\u8c61, \u5b9e\u9645\u4e0a\u662f\u6307\u5206\u6790\u5e76\u89e3\u51b3\u5728\u5b9e\u9645\u8fd0\u7528\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u8fc7\u7a0b\u4e2d\u51fa\u73b0\u7684\u95ee\u9898, \u5e76\u5c3d\u53ef\u80fd\u7684\u907f\u514d\u65e0\u8c13\u7684\u65f6\u95f4\u6d6a\u8d39\u2014\u2014\u539f\u8bfe\u7a0b\u8fd9\u4e00\u7ae0\u53eb\u201c\u51b3\u5b9a\u4e0b\u4e00\u6b65\u505a\u4ec0\u4e48\u201d, \u611f\u89c9\u8fd8\u4e0d\u5982\u6211\u8fd9\u6807\u9898<\/p>\n<h2>\u5f15\u5165<\/h2>\n<p>\u5728\u5b9e\u65bd\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u8fc7\u7a0b\u4e2d, \u4e0d\u53ef\u80fd\u662f\u4e00\u5e06\u98ce\u987a\u7684, \u6211\u4eec\u4f1a\u9047\u5230\u5404\u79cd\u5404\u6837\u7684\u95ee\u9898, \u5bfc\u81f4\u7b97\u6cd5\u505a\u51fa\u7684\u9884\u6d4b\u4e0e\u5b9e\u9645\u503c\u504f\u5dee\u8fc7\u5927, \u6b64\u65f6\u6211\u4eec\u6709\u5f88\u591a\u53ef\u4ee5\u505a\u7684\u4e8b\u60c5<\/p>\n<ul>\n<li>\u5c1d\u8bd5\u51cf\u5c11\u7279\u5f81\u6570\u91cf<\/li>\n<li>\u5c1d\u8bd5\u589e\u52a0\u7279\u5f81\u6570\u91cf<\/li>\n<li>\u5c1d\u8bd5\u589e\u52a0\u591a\u9879\u5f0f\u7279\u5f81(\u7279\u5f81\u76f8\u4e58, \u9ad8\u6b21\u7279\u5f81\u7b49)<\/li>\n<li>\u5c1d\u8bd5\u51cf\u5c11\u6b63\u5219\u5316\u7cfb\u6570lambda<\/li>\n<li>\u5c1d\u8bd5\u589e\u5927\u6b63\u5219\u5316\u7cfb\u6570lambda<\/li>\n<\/ul>\n<p>\u6211\u4eec\u4e0d\u5e94\u8be5\u51ed\u611f\u89c9\u968f\u673a\u9009\u62e9\u4e0a\u9762\u7684\u4e00\u79cd\u6216\u51e0\u79cd\u65b9\u6cd5\u6765\u5b9e\u65bd, \u8fd9\u4f1a\u8017\u8d39\u591a\u8fbe\u6570\u4e2a\u6708\u7684\u65f6\u95f4, \u8fd8\u6709\u53ef\u80fd\u6ca1\u4ec0\u4e48\u7528, \u672c\u8282\u8981\u4ecb\u7ecd\u7684\u201c\u673a\u5668\u5b66\u4e60\u8bca\u65ad\u6cd5\u201d, \u4fbf\u662f\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898: \u6211\u4eec\u9700\u8981\u6df1\u5165\u4e86\u89e3\u4e00\u4e2a\u7b97\u6cd5\u662f\u5426\u6709\u6548, \u5982\u679c\u5b58\u5728\u4e0d\u8db3, \u4e0d\u8db3\u5728\u54ea\u91cc, \u53c8\u8be5\u5982\u4f55\u6539\u8fdb? \u673a\u5668\u5b66\u4e60\u8bca\u65ad\u540c\u6837\u53ef\u80fd\u4f1a\u82b1\u8d39\u5f88\u591a\u65f6\u95f4, \u4f46\u662f\u548c\u968f\u673a\u9009\u62e9\u4e0a\u8ff0\u7684\u65b9\u6cd5\u89e3\u51b3\u95ee\u9898\u7684\u8bdd\u8d39\u6bd4\u8d77\u6765\u5fae\u4e0d\u8db3\u9053\u2014\u2014\u4ed6\u4f1a\u544a\u8bc9\u4f60\u5e94\u8be5\u7528\u4e0a\u8ff0\u7684\u54ea\u79cd\u65b9\u6cd5, \u5e76\u4e14\u544a\u8bc9\u4f60\u4e3a\u4ec0\u4e48<\/p>\n<h2>\u8bad\u7ec3\u96c6\u4e0e\u6d4b\u8bd5\u96c6<\/h2>\n<p>\u6211\u4eec\u5df2\u7ecf\u77e5\u9053, \u5728\u5b9e\u65bd\u7b97\u6cd5\u7684\u8fc7\u7a0b\u4e2d, \u6211\u4eec\u901a\u8fc7\u4f18\u5316\u7b97\u6cd5\u4f7f\u5f97\u4ee3\u4ef7\u51fd\u6570J\u6700\u5c0f\u2014\u2014\u4f46\u662f\u4ee3\u4ef7\u51fd\u6570\u6700\u5c0f\u5e76\u4e0d\u4e00\u5b9a\u4ee3\u8868\u7740\u6a21\u578b\u7684\u6cdb\u5316\u80fd\u529b\u6700\u597d, \u8003\u8651\u8fc7\u62df\u5408\u7684\u60c5\u51b5<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690598977424.png\" alt=\"file\" \/><\/p>\n<p>\u4e0a\u56fe\u7684\u8fc7\u62df\u5408\u60c5\u51b5\u663e\u7136\u53ea\u9002\u7528\u4e8e\u8bad\u7ec3\u96c6, \u6cdb\u5316\u80fd\u529b\u5f88\u5dee, \u5982\u679c\u662f\u56fe\u91cc\u7684\u7ebf\u6027\u62df\u5408, \u6211\u4eec\u8fd8\u53ef\u4ee5\u901a\u8fc7\u89c2\u5bdf\u51fd\u6570\u56fe\u50cf\u6765\u83b7\u5f97\u4fe1\u606f, \u5728\u5b9e\u9645\u95ee\u9898\u4e2d, \u901a\u5e38\u4f1a\u6709\u975e\u5e38\u5927\u91cf\u7684\u7279\u5f81, \u800c\u6211\u4eec\u6ca1\u6cd5\u753b\u51fa\u9ad8\u7ef4\u51fd\u6570\u56fe\u50cf, \u81ea\u7136\u4e5f\u65e0\u6cd5\u89c2\u5bdf\u5224\u65ad\u8fc7\u62df\u5408\u4e0e\u5426<\/p>\n<p>\u6b64\u65f6\u6211\u4eec\u53ef\u4ee5\u5c06\u6570\u636e\u5206\u4e3a<strong>\u8bad\u7ec3\u96c6(Train set)<\/strong>\u548c<strong>\u6d4b\u8bd5\u96c6(Test set)<\/strong>, \u6765\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u2014\u2014\u8bad\u7ec3\u96c6\u7684\u6570\u636e\u53ea\u7528\u6765\u8bad\u7ec3\u6a21\u578b, \u7136\u540e\u7528\u6d4b\u8bd5\u96c6\u7684\u6570\u636e\u5bf9\u6a21\u578b\u8bc4\u4f30.<\/p>\n<p>\u9700\u8981\u6ce8\u610f\u7684\u662f, \u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\u5fc5\u987b\u662f\u5b8c\u5168\u968f\u673a\u7684, \u5728\u5206\u5272\u524d\u6700\u597d\u5c06\u6574\u4e2a\u6570\u636e\u96c6\u6253\u4e71\u4e00\u4e0b, \u4e00\u822c\u6765\u8bf4\u4e24\u8005\u4e4b\u6bd4\u662f7:3<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690600502687.png\" alt=\"file\" \/><\/p>\n<p>\u6211\u4eec\u4e4b\u524d\u5b66\u8fc7\u7684\u4e24\u79cd\u4ee3\u4ef7\u51fd\u6570, \u7ebf\u6027\u56de\u5f52\u548c\u903b\u8f91\u56de\u5f52\u7684, \u73b0\u5728\u53ea\u9700\u8981\u5c06\u5176\u5957\u7528\u5728\u6d4b\u8bd5\u96c6\u4e0a, \u5c31\u53ef\u4ee5\u8ba1\u7b97\u66f4\u52a0\u51c6\u786e\u7684\u635f\u5931\u503c<\/p>\n<p>\u5bf9\u4e8e\u903b\u8f91\u56de\u5f52, \u9664\u4e86\u53ef\u4ee5\u7528\u539f\u5148\u7684\u4ee3\u4ef7\u51fd\u6570\u4e4b\u5916 <img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690600714020.png\" alt=\"file\" \/><\/p>\n<p>\u8fd8\u53ef\u4ee5\u7528\u5931\u8bef\u5206\u7c7b\u4ee3\u4ef7\u51fd\u6570<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690600765081.png\" alt=\"file\" \/><\/p>\n<p>\u7136\u540e\u5bf9\u7ed3\u679c\u53d6\u5e73\u5747<\/p>\n<h2>\u6a21\u578b\u9009\u62e9\u4e0e\u4ea4\u53c9\u9a8c\u8bc1<\/h2>\n<p>\u5728\u4e0a\u9762\u7684\u7ebf\u6027\u56de\u5f52\u95ee\u9898\u4e2d, \u5047\u8bbe\u6211\u4eec\u6709\u5982\u4e0b\u7684\u4e00\u4e9b\u6a21\u578b\u53ef\u4f9b\u9009\u62e9:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690600827943.png\" alt=\"file\" \/><\/p>\n<p>\u5b9e\u9645\u4e0a\u5c31\u662f\u9009\u62e9x\u7684\u5e42\u6b21b, \u6ce8\u610f\u8fd9\u4e2a\u5b57\u6bcd, \u7b49\u4e0b\u4f1a\u7528\u5230<\/p>\n<p>\u4e00\u4e2a\u5f88\u666e\u901a\u7684\u60f3\u6cd5\u662f\u5bf9\u4e8e\u4e0a\u9762\u768410\u4e2a\u6a21\u578b, \u5206\u522b\u5bf9\u6d4b\u8bd5\u96c6\u6700\u5c0f\u5316\u4ee3\u4ef7\u51fd\u6570, \u9009\u62e9\u6700\u5c0f\u7684\u4e00\u4e2a, \u8fd9\u4e2a\u505a\u6cd5\u6709\u4e00\u4e2a\u95ee\u9898: \u5982\u679c\u4ee5\u6b64\u9009\u62e9, \u76f8\u5f53\u4e8e\u6211\u4eec\u7528\u6d4b\u8bd5\u96c6\u62df\u5408\u4e86\u53c2\u6570b(\u4e0a\u9762\u63d0\u5230\u7684),\u8fd9\u6837\u4ee5\u6765, \u53c2\u6570b\u7684\u53ef\u4fe1\u5ea6\u4fbf\u4e0d\u662f\u5f88\u9ad8\u2014\u2014\u4ed6\u53ea\u80fd\u5bf9\u6d4b\u8bd5\u96c6\u8d1f\u8d23<\/p>\n<p>\u4e00\u4e2a\u66f4\u597d\u7684\u505a\u6cd5\u662f\u6211\u4eec\u5c06\u5168\u90e8\u6570\u636e\u96c6\u5206\u6210\u4e09\u4efd, \u5206\u522b\u662f\u8bad\u7ec3\u96c6, \u9a8c\u8bc1\u96c6, \u6d4b\u8bd5\u96c6, \u6bd4\u4f8b\u4e00\u822c\u662f6:2:2, \u7136\u540e\u5982\u6b64\u505a:<\/p>\n<ul>\n<li>\u4f7f\u7528\u8bad\u7ec3\u96c6\u8bad\u7ec3\u51fa10\u4e2a\u6a21\u578b<\/li>\n<li>\u5bf9\u8fd910\u4e2a\u6a21\u578b\u5206\u522b\u5bf9\u4ea4\u53c9\u9a8c\u8bc1\u96c6\u6c42\u51fa\u635f\u5931\u503c<\/li>\n<li>\u9009\u53d6\u6700\u5c0f\u635f\u5931\u503c\u7684\u6a21\u578b<\/li>\n<li>\u5408\u5e76\u8bad\u7ec3\u96c6\u548c\u9a8c\u8bc1\u96c6, \u4f5c\u4e3a\u4e00\u4e2a\u6574\u4f53\u8bad\u7ec3\u65b0\u7684\u6a21\u578b\u53c2\u6570<\/li>\n<li>\u7528\u6700\u7ec8\u6a21\u578b\u5bf9\u6d4b\u8bd5\u96c6\u6c42\u51fa\u63a8\u5e7f\u8bef\u5dee(\u4ee3\u4ef7\u51fd\u6570\u503c)<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690601743778.png\" alt=\"file\" \/><\/p>\n<p>\u5728\u4e0a\u8ff0\u4ea4\u53c9\u9a8c\u8bc1\u7684\u6b65\u9aa4\u4e2d, \u53ef\u80fd\u5b58\u5728\u8fd9\u6837\u7684\u95ee\u9898: \u56e0\u4e3a\u6837\u672c\u91cf\u4e0d\u591f, \u5bfc\u81f4\u9009\u62e9\u4e0d\u540c\u7684\u9a8c\u8bc1\u96c6\u6240\u5e26\u6765\u7684\u635f\u5931\u51fd\u6570\u503c\u76f8\u5dee\u5f88\u5927, \u5bfc\u81f4\u6211\u4eec\u4e0d\u786e\u5b9a\u5e94\u8be5\u9009\u62e9\u54ea\u4e2a\u6a21\u578b<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690602106338.png\" alt=\"file\" \/><\/p>\n<p>\u6b64\u65f6\u6211\u4eec\u901a\u5e38\u4f7f\u7528<strong>K\u6298\u4ea4\u53c9\u9a8c\u8bc1(K-fold cross validation)<\/strong>: \u6211\u4eec\u5e0c\u671b\u9664\u8fc7\u6d4b\u8bd5\u96c6\u7684\u6bcf\u7ec4\u6570\u636e, \u90fd\u6700\u5c11\u505a\u8fc7\u4e00\u6b21\u6d4b\u8bd5\u96c6\u548c\u9a8c\u8bc1\u96c6, \u5982\u56fe\u6240\u793a, \u6211\u4eec\u5206\u522b\u53d6\u56db\u6b21\u9a8c\u8bc1\u96c6, \u5e76\u5c06\u4f59\u4e0b\u7684\u90e8\u5206\u4f5c\u4e3a\u8bad\u7ec3\u96c6, \u4fdd\u8bc1\u6bcf\u6b21\u9a8c\u8bc1\u96c6\u4e0d\u91cd\u4e0d\u6f0f\u7684\u8986\u76d6, \u6700\u540e\u5bf9\u603b\u4f53\u635f\u5931\u53d6\u5e73\u5747\u503c, \u8fd9\u5c31\u662f4\u6298\u4ea4\u53c9\u9a8c\u8bc1<\/p>\n<p>\u5f53\u6211\u4eec\u53ea\u53d6\u4e00\u4e2a\u6570\u636e\u4f5c\u4e3a\u9a8c\u8bc1\u96c6\u65f6, \u5c31\u53eb<strong>\u7559\u4e00\u4ea4\u53c9\u9a8c\u8bc1(Leave-one-out cross validation)<\/strong><img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690602273270.png\" alt=\"file\" \/><\/p>\n<h2>\u8bca\u65ad\u504f\u5dee\u4e0e\u65b9\u5dee<\/h2>\n<p>\u5982\u679c\u4e00\u4e2a\u7b97\u6cd5\u7684\u8868\u73b0\u4e0d\u7406\u60f3\uff0c \u591a\u534a\u662f\u51fa\u73b0\u4e86\u4ee5\u4e0b\u4e24\u79cd\u60c5\u51b5\u4e4b\u4e00\uff1a\u504f\u5dee\u8fc7\u5927\uff08\u6b20\u62df\u5408\uff09\uff0c\u6216\u8005\u65b9\u5dee\u8fc7\u5927\uff08\u8fc7\u62df\u5408\uff09<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690644101352.png\" alt=\"file\" \/><\/p>\n<p>\u6211\u4eec\u901a\u5e38\u4f1a\u901a\u8fc7\u5c06\u8bad\u7ec3\u96c6\u548c\u4ea4\u53c9\u9a8c\u8bc1\u96c6\u7684\u4ee3\u4ef7\u51fd\u6570\u8bef\u5dee\u4e0e\u591a\u9879\u5f0f\u7684\u6b21\u6570\u7ed8\u5236\u5728\u540c\u4e00\u5f20\u56fe\u8868\u4e0a\u6765\u5e2e\u52a9\u5206\u6790<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690644167528.png\" alt=\"file\" \/><\/p>\n<p>\u5bf9\u4e8e\u8bad\u7ec3\u96c6\uff0c\u968f\u7740\u591a\u9879\u5f0f\u6b21\u6570\u7684\u589e\u52a0\uff0c\u62df\u5408\u6548\u679c\u4f1a\u8d8a\u6765\u4f1a\u597d\uff0c\u4f46\u662f\u5bf9\u4e8e\u9a8c\u8bc1\u96c6\uff0c\u8fc7\u5ea6\u7684\u62df\u5408\u4f1a\u5e26\u6765\u8fc7\u62df\u5408\uff0c\u4f7f\u5f97\u635f\u5931\u91cd\u65b0\u4e0a\u5347<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690644405042.png\" alt=\"file\" \/><\/p>\n<p>\u4ece\u4e0a\u56fe\u53ef\u4ee5\u770b\u5230\uff0c\u524d\u534a\u6bb5\u662f\u6b20\u62df\u5408\u95ee\u9898\uff0c\u540e\u534a\u6bb5\u662f\u8fc7\u62df\u5408\u95ee\u9898<\/p>\n<ul>\n<li>\u8bad\u7ec3\u96c6\u8bef\u5dee\u548c\u4ea4\u53c9\u9a8c\u8bc1\u96c6\u8bef\u5dee\u8fd1\u4f3c\u65f6\uff1a\u504f\u5dee\/\u6b20\u62df\u5408<\/li>\n<li>\u4ea4\u53c9\u9a8c\u8bc1\u96c6\u8bef\u5dee\u8fdc\u5927\u4e8e\u8bad\u7ec3\u96c6\u8bef\u5dee\u65f6\uff1a\u65b9\u5dee\/\u8fc7\u62df\u5408<\/li>\n<\/ul>\n<h2>\u6b63\u5219\u5316\u4e0e\u504f\u5dee\/\u65b9\u5dee<\/h2>\n<p>\u6b63\u5219\u5316\u4e5f\u4f1a\u5f71\u54cd\u504f\u5dee\u4e0e\u65b9\u5dee,\u770b\u4e00\u4e0b\u56fe:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/blog.sssn.tech\/wp-content\/uploads\/2023\/07\/image-1690645101580.png\" alt=\"file\" \/><\/p>\n<p>\u5982\u679c\u60e9\u7f5a\u529b\u5ea6\u8fc7\u5927, \u5c31\u4f1a\u50cf\u5de6\u56fe\u90a3\u6837, \u4ee4\u6240\u6709\u53c2\u6570\u90fd\u8d8b\u8fd1\u4e8e\u96f6, 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