{"id":1064517,"date":"2018-09-06T02:32:00","date_gmt":"2018-09-06T09:32:00","guid":{"rendered":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/?post_type=msr-blog-post&#038;p=1064517"},"modified":"2024-09-25T00:50:52","modified_gmt":"2024-09-25T07:50:52","slug":"book-recommendation-machine-learning-math","status":"publish","type":"msr-blog-post","link":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/articles\/book-recommendation-machine-learning-math\/","title":{"rendered":"\u6210\u4e3a\u673a\u5668\u5b66\u4e60\u5927\u795e\uff0c\u4f60\u4e0d\u80fd\u4e0d\u61c2\u6570\u5b66"},"content":{"rendered":"\n<p>\u7f16\u8005\u6309\uff1a\u5982\u4f55\u81ea\u5b66\u673a\u5668\u5b66\u4e60\uff1f\u9700\u8981\u54ea\u4e9b\u6570\u7406\u57fa\u7840\uff1f\u600e\u6837\u4ece\u5165\u95e8\u5230\u8fdb\u9636\uff0c\u6210\u5c31\u5927\u795e\u4e4b\u8def\uff1f\u5728\u8fd9\u7bc7\u4e66\u5355\u63a8\u8350\u4e2d\uff0c\u5fae\u8f6f\u4e9a\u6d32\u7814\u7a76\u9662\u673a\u5668\u5b66\u4e60\u7ec4\u7814\u7a76\u5458\u4eec\u4ece\u673a\u5668\u5b66\u4e60\u7efc\u8ff0\u3001\u7b97\u6cd5\u4f18\u5316\u3001\u7406\u8bba\u5ef6\u5c55\u3001\u6570\u5b66\u57fa\u7840\u56db\u5927\u65b9\u9762\u5165\u624b\uff0c\u4e3a\u5927\u5bb6\u63d0\u4f9b\u4e00\u4efd\u673a\u5668\u5b66\u4e60\u7684\u201c\u5b8c\u5168\u6307\u5357\u201d\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u5728\u8fd9\u4e2a\u8a00\u5fc5\u8c08\u201cAI\u201d\u7684\u65f6\u4ee3\uff0c\u673a\u5668\u5b66\u4e60\u662f\u91cd\u8981\u7684\u7b97\u6cd5\u5185\u6838\uff0c\u800c\u6570\u5b66\u662f\u7406\u89e3\u548c\u6539\u8fdb\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u5fc5\u7ecf\u4e4b\u8def\u3002\u56e0\u6b64\uff0c\u6211\u5c06\u5728\u8fd9\u7bc7\u6587\u7ae0\u4e2d\u68b3\u7406\u673a\u5668\u5b66\u4e60\u7684\u5173\u952e\u6a21\u5757\u548c\u4e0e\u4e4b\u8054\u7cfb\u7684\u6570\u5b66\u7406\u8bba\u5206\u652f\uff0c\u5217\u51fa\u4e00\u4efd\u673a\u5668\u5b66\u4e60\u7684\u6570\u5b66\u4e66\u5355\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u673a\u5668\u5b66\u4e60\u7efc\u8ff0\u7bc7\">\u673a\u5668\u5b66\u4e60\u7efc\u8ff0\u7bc7<\/h2>\n\n\n\n<p>\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u4e00\u822c\u6d41\u7a0b\uff0c\u662f\u6309\u7167\u5b66\u4e60\u95ee\u9898\u7684\u6027\u8d28\u8bbe\u8ba1\u6a21\u578b\uff0c\u5229\u7528\u4f18\u5316\u7b97\u6cd5\u6765\u6700\u5c0f\u5316\u6a21\u578b\u7684\u6b63\u5219\u5316\u7ecf\u9a8c\u98ce\u9669\uff0c\u4ece\u800c\u5b66\u4e60\u51fa\u6700\u4f18\u6a21\u578b\uff0c\u7136\u540e\u5e94\u7528\u5230\u65b0\u7684\u6d4b\u8bd5\u6570\u636e\u4e0a\u3002\u6839\u636e\u5b66\u4e60\u95ee\u9898\u3001\u6a21\u578b\u3001\u4f18\u5316\u7b97\u6cd5\u3001\u6b63\u5219\u5316\u65b9\u6cd5\u7684\u4e0d\u540c\uff0c\u5b66\u4e60\u7b97\u6cd5\u5206\u4e3a\u8bb8\u591a\u79cd\u7c7b\u3002\u6d4f\u89c8\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7efc\u8ff0\u7c7b\u4e66\u7c4d\u7684\u76ee\u5f55\uff0c\u5c31\u4e0d\u96be\u53d1\u73b0\u673a\u5668\u5b66\u4e60\u7684\u7b97\u6cd5\u4f53\u7cfb\u3002\u4ee5\u4e0b3\u672c\u673a\u5668\u5b66\u4e60\u7efc\u8ff0\u7c7b\u4e66\u7c4d\uff0c\u80fd\u5e2e\u52a9\u4f60\u5efa\u7acb\u5bf9\u673a\u5668\u5b66\u4e60\u7684\u6574\u4f53\u8ba4\u77e5\uff1a<\/p>\n\n\n\n<p><strong>1\uff09Pattern recognition and machine learning<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1aChristoper M. Bishop<\/p>\n\n\n\n<p>\u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u4e2d\u7ea7\u5b66\u8005<\/p>\n\n\n\n<p>\u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"273\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-1.jpg\" alt=\"Pattern recognition and machine learning\" class=\"wp-image-1064769\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-1.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-1-132x180.jpg 132w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u4e3b\u8981\u5185\u5bb9\uff1a\u672c\u4e66\u5168\u9762\u4ecb\u7ecd\u4e86\u6a21\u5f0f\u8bc6\u522b\u548c\u673a\u5668\u5b66\u4e60\uff0c\u5305\u62ec\u8fd1\u5e74\u6765\u7684\u6700\u65b0\u53d1\u5c55\u3002\u5982\u679c\u4f60\u5bf9\u673a\u5668\u5b66\u4e60\u3001\u7edf\u8ba1\u5b66\u3001\u4fe1\u53f7\u5904\u7406\u3001\u8ba1\u7b97\u673a\u89c6\u89c9\u3001\u6570\u636e\u6316\u6398\u7b49\u65b9\u5411\u611f\u5174\u8da3\uff0c\u90fd\u53ef\u4ee5\u5b66\u4e60\u8fd9\u672c\u4e66\u3002\u5728\u6253\u5f00\u8fd9\u672c\u4e66\u524d\uff0c\u4f60\u4e0d\u9700\u8981\u6709\u6a21\u5f0f\u8bc6\u522b\u6216\u673a\u5668\u5b66\u4e60\u7684\u77e5\u8bc6\uff0c\u4f46\u81f3\u5c11\u8981\u719f\u6089\u591a\u5143\u5fae\u79ef\u5206\u548c\u57fa\u672c\u7ebf\u6027\u4ee3\u6570\uff0c\u6709\u4e00\u4e9b\u6982\u7387\u8bba\u77e5\u8bc6\u4f1a\u66f4\u597d\uff0c\u4e66\u4e2d\u4e5f\u4f1a\u6709\u5bf9\u57fa\u672c\u6982\u7387\u7406\u8bba\u7684\u4ecb\u7ecd\u3002<\/p>\n\n\n\n<p>\u63a8\u8350\u7406\u7531\uff1a\u8fd9\u672c\u4e66\u6d45\u663e\u6613\u61c2\uff0c\u751f\u52a8\u5f62\u8c61\uff0c\u8f83\u4e3a\u5168\u9762\u5730\u6db5\u76d6\u4e86\u7ebf\u6027\u56de\u5f52\u3001\u795e\u7ecf\u7f51\u7edc\u3001\u6838\u65b9\u6cd5\u7b49\u7ecf\u5178\u7684\u76d1\u7763\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\uff0c\u4ee5\u53ca\u975e\u76d1\u7763\u7684\u6982\u7387\u56fe\u6a21\u578b\u548cEM\u7b97\u6cd5\uff0c\u975e\u5e38\u9002\u5408\u521d\u6b65\u63a5\u89e6\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u8bfb\u8005\u4eec\u3002<\/p>\n\n\n\n<p><strong>2\uff09Neural networks and learning machines<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1aSimon Haykin<\/p>\n\n\n\n<p>\u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u4e2d\u7ea7\u5b66\u8005<\/p>\n\n\n\n<p>\u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"265\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-2.jpg\" alt=\"Neural networks and learning machines\" class=\"wp-image-1064772\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-2.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-2-136x180.jpg 136w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u4e3b\u8981\u5185\u5bb9\uff1a\u672c\u4e66\u517115\u7ae0\uff0c\u662f\u5173\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u975e\u5e38\u5168\u9762\u7684\u3001\u6700\u65b0\u7684\u8bba\u8ff0\uff0c\u5185\u5bb9\u5305\u62ecRosenblatt\u611f\u77e5\u5668\u3001\u56de\u5f52\u6a21\u578b\u3001\u591a\u5c42\u611f\u77e5\u5668\u3001\u6838\u65b9\u6cd5\u548c\u5f84\u5411\u57fa\u51fd\u6570\u7f51\u7edc\u3001\u652f\u6301\u5411\u91cf\u673a\u3001\u6b63\u5219\u5316\u7406\u8bba\u3001\u4fe1\u606f\u8bba\u5b66\u4e60\u6a21\u578b\u7b49\u3002<\/p>\n\n\n\n<p>\u63a8\u8350\u7406\u7531\uff1a\u8fd9\u672c\u4e66\u4ece\u795e\u7ecf\u7f51\u7edc\u8bb2\u8d77\uff0c\u5faa\u5e8f\u6e10\u8fdb\uff0c\u4ece\u611f\u77e5\u673a\u3001\u591a\u5c42\u611f\u77e5\u673a\u3001\u5f84\u5411\u57fa\u51fd\u6570\u611f\u77e5\u673a\uff0c\u8fc7\u6e21\u5230\u6838\u65b9\u6cd5\u548cSVM\uff0c\u7136\u540e\u8ba8\u8bba\u5b66\u4e60\u7b97\u6cd5\u4e0e\u4fe1\u606f\u8bba\u548c\u7edf\u8ba1\u7684\u5173\u8054\u5173\u7cfb\uff0c\u6700\u540e\u4ecb\u7ecd\u52a8\u6001\u7cfb\u7edf\u7684\u5b66\u4e60\u53ca\u5176\u4e0e\u9012\u5f52\u795e\u7ecf\u7f51\u7edc\u7684\u5173\u7cfb\u3002<\/p>\n\n\n\n<p><strong>3\uff09Deep Learning<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1aIan Goodfellow, Yuoshua Bengio, Aaron Couville<\/p>\n\n\n\n<p>\u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u4e2d\u7ea7\u5b66\u8005<\/p>\n\n\n\n<p>\u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"264\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-3.jpg\" alt=\"Deep Learning\" class=\"wp-image-1064775\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-3.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-3-136x180.jpg 136w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u4e3b\u8981\u5185\u5bb9\uff1a\u672c\u4e66\u662f\u6df1\u5ea6\u5b66\u4e60\u9886\u57df\u5960\u57fa\u6027\u7684\u7ecf\u5178\u6559\u6750\uff0c\u5305\u542b\u4e09\u90e8\u5206\uff1a\u4e00\uff0c\u4ecb\u7ecd\u57fa\u672c\u7684\u6570\u5b66\u5de5\u5177\u548c\u673a\u5668\u5b66\u4e60\u7684\u6982\u5ff5\uff0c\u4f5c\u4e3a\u6df1\u5ea6\u5b66\u4e60\u7684\u9884\u5907\u77e5\u8bc6\uff1b\u4e8c\uff0c\u7cfb\u7edf\u6df1\u5165\u5730\u8bb2\u89e3\u73b0\u4eca\u5df2\u6210\u719f\u7684\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5\u548c\u6280\u672f\uff1b\u4e09\uff0c\u8ba8\u8bba\u5177\u6709\u524d\u77bb\u6027\u7684\u65b9\u5411\u548c\u60f3\u6cd5\uff0c\u5b83\u4eec\u662f\u6df1\u5ea6\u5b66\u4e60\u672a\u6765\u7684\u7814\u7a76\u91cd\u70b9\u3002\u672c\u4e66\u9002\u5408\u5404\u4e2a\u76f8\u5173\u4e13\u4e1a\u7684\u5b66\u751f\uff0c\u4ee5\u53ca\u4e0d\u5177\u6709\u673a\u5668\u5b66\u4e60\u6216\u7edf\u8ba1\u80cc\u666f\u7684\u8f6f\u4ef6\u5de5\u7a0b\u5e08\uff0c\u6765\u5feb\u901f\u8865\u5145\u6df1\u5ea6\u5b66\u4e60\u77e5\u8bc6\u5e76\u5c06\u5176\u6295\u5165\u5b9e\u9645\u5e94\u7528\u3002<\/p>\n\n\n\n<p>\u63a8\u8350\u7406\u7531\uff1a\u8fd9\u672c\u4e66\u4fa7\u91cd\u6df1\u5ea6\u5b66\u4e60\u57282006\u5e74\u518d\u6b21\u5174\u8d77\u3001\u83b7\u5f97\u66f4\u5927\u6210\u529f\u4e4b\u540e\u7684\u65b0\u8fdb\u5c55\uff0c\u5c24\u5176\u4ecb\u7ecd\u4e86\u6df1\u5ea6\u5b66\u4e60\u5728\u81ea\u7136\u8bed\u8a00\u5904\u7406\u3001\u8bed\u97f3\u8bc6\u522b\u3001\u8ba1\u7b97\u673a\u89c6\u89c9\u3001\u5728\u7ebf\u63a8\u8350\u7b49\u4e2d\u7684\u5e94\u7528\uff0c\u800c\u4e14\u5305\u542b\u4e86\u8868\u8fbe\u5b66\u4e60\u8fd9\u4e00\u7814\u7a76\u89c6\u89d2\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u4f18\u5316\u7bc7\">\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u4f18\u5316\u7bc7<\/h2>\n\n\n\n<p>\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u6700\u7ec8\u6027\u80fd\u4f1a\u53d7\u5230\u4e09\u4e2a\u56e0\u7d20\u7684\u5f71\u54cd\uff1a\u6a21\u578b\u7a7a\u95f4\u7684\u8868\u8fbe\u529b\u3001\u4f18\u5316\u7b97\u6cd5\u7684\u6536\u655b\u901f\u7387\u3001\u6cdb\u5316\u80fd\u529b\u3002\u5728\u8868\u8fbe\u529b\u65b9\u9762\uff0c\u9664\u4e86\u795e\u7ecf\u7f51\u7edc\u7684\u666e\u904d\u903c\u8fd1\u5b9a\u7406\u4e4b\u5916\uff0c\u5b9a\u91cf\u7684\u7814\u7a76\u975e\u5e38\u6709\u9650\u3002\u63a8\u8350\u4ee5\u4e0b3\u672c\u4ecb\u7ecd\u4f18\u5316\u7b97\u6cd5\u7684\u4e66\u7c4d\uff1a<\/p>\n\n\n\n<p><strong>1\uff09Convex optimization<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1aSteve Boyd<\/p>\n\n\n\n<p>\u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u4e2d\u7ea7\u5b66\u8005<\/p>\n\n\n\n<p>\u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"264\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-4.jpg\" alt=\"Convex optimization\" class=\"wp-image-1064778\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-4.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-4-136x180.jpg 136w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u4e3b\u8981\u5185\u5bb9\uff1a\u672c\u4e66\u5206\u4e3a\u7406\u8bba\u3001\u5e94\u7528\u3001\u7b97\u6cd5\u4e09\u5927\u90e8\u5206\u3002\u7406\u8bba\u90e8\u5206\u4ecb\u7ecd\u57fa\u7840\u6982\u5ff5\u3001\u77e5\u8bc6\u548c\u65b9\u6cd5\uff1b\u5e94\u7528\u90e8\u5206\u4ecb\u7ecd\u51f8\u4f18\u5316\u5728\u89e3\u51b3\u903c\u8fd1\u4e0e\u62df\u5408\u3001\u7edf\u8ba1\u4f30\u8ba1\u548c\u51e0\u4f55\u5173\u7cfb\u5206\u6790\u8fd9\u4e09\u7c7b\u5b9e\u9645\u95ee\u9898\u4e2d\u7684\u5e94\u7528\uff1b\u7b97\u6cd5\u90e8\u5206\u4ecb\u7ecd\u6c42\u89e3\u65e0\u7ea6\u675f\u51f8\u4f18\u5316\u6a21\u578b\u3001\u7b49\u5f0f\u7ea6\u675f\u51f8\u4f18\u5316\u6a21\u578b\u4ee5\u53ca\u5305\u542b\u4e0d\u7b49\u5f0f\u7ea6\u675f\u7684\u51f8\u4f18\u5316\u6a21\u578b\u7684\u7ecf\u5178\u6570\u503c\u65b9\u6cd5\uff0c\u4ee5\u53ca\u5982\u4f55\u5229\u7528\u51f8\u4f18\u5316\u7406\u8bba\u5206\u6790\u8fd9\u4e9b\u65b9\u6cd5\u7684\u6536\u655b\u6027\u8d28\u3002<\/p>\n\n\n\n<p>\u63a8\u8350\u7406\u7531\uff1a\u5185\u5bb9\u5168\u9762\uff0c\u4fa7\u91cd\u7b97\u6cd5\uff0c\u66f4\u9002\u5408\u521d\u5b66\u8005\uff0c\u80fd\u591f\u5e2e\u52a9\u8bfb\u8005\u5bf9\u51f8\u4f18\u5316\u7406\u8bba\u548c\u65b9\u6cd5\u5efa\u7acb\u5b8c\u6574\u7684\u8ba4\u8bc6\u3002<\/p>\n\n\n\n<p><strong>2\uff09Convex analysis and optimization<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1aDimitri P. Bertsekas et,al.<\/p>\n\n\n\n<p>\u9002\u5408\u4eba\u7fa4\uff1a\u4e2d\u7ea7\u5230\u9ad8\u7ea7\u5b66\u8005<\/p>\n\n\n\n<p>\u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"303\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-5.jpg\" alt=\"Convex analysis and optimization\" class=\"wp-image-1064781\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-5.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-5-198x300.jpg 198w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-5-119x180.jpg 119w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u4e3b\u8981\u5185\u5bb9\uff1a\u672c\u4e66\u5bf9\u51f8\u5206\u6790\u53ca\u5176\u4f18\u5316\u8fdb\u884c\u4e86\u5168\u9762\u7684\u9610\u8ff0\uff0c\u9664\u6b64\u4e4b\u5916\uff0c\u8fd8\u901a\u8fc7\u5f15\u5165\u4e00\u4e9b\u65b0\u7684\u5206\u6790\u89c6\u89d2\u6765\u91cd\u6784\u8be5\u4e3b\u9898\u7406\u8bba\u3002<\/p>\n\n\n\n<p>\u63a8\u8350\u7406\u7531\uff1a\u672c\u4e66\u4fa7\u91cd\u51f8\u7b97\u6cd5\u7684\u6027\u8d28\uff0c\u66f4\u9002\u5408\u5bf9\u51f8\u5206\u6790\u611f\u5174\u8da3\u7684\u5b66\u8005\u3002<\/p>\n\n\n\n<p><strong>3\uff09The nature of Statistical learning theory<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1aVladimir Vapnik<\/p>\n\n\n\n<p>\u9002\u5408\u4eba\u7fa4\uff1a\u4e2d\u7ea7\u5230\u9ad8\u7ea7\u5b66\u8005<\/p>\n\n\n\n<p>\u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"304\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-6.jpg\" alt=\"The nature of Statistical learning theory\" class=\"wp-image-1064784\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-6.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-6-197x300.jpg 197w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-6-118x180.jpg 118w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u4e3b\u8981\u5185\u5bb9\uff1a\u672c\u4e66\u8ba8\u8bba\u4e86\u7edf\u8ba1\u7406\u8bba\u80cc\u540e\u7684\u57fa\u672c\u601d\u60f3\uff0c\u5305\u62ec\u5b66\u4e60\u548c\u6982\u62ec\u3002\u4f5c\u8005\u5c06\u5b66\u4e60\u89c6\u4e3a\u57fa\u4e8e\u7ecf\u9a8c\u6570\u636e\u7684\u51fd\u6570\u4f30\u8ba1\u7684\u4e00\u822c\u95ee\u9898\uff0c\u91cd\u70b9\u8ba8\u8bba\u4e86\u5b66\u4e60\u7406\u8bba\u53ca\u5176\u4e0e\u7edf\u8ba1\u5b66\u7684\u5173\u7cfb\uff0c\u8fdb\u4e00\u6b65\u53d1\u5c55\u4e86\u5b66\u4e60\u7406\u8bba\u548cSVM\u7b97\u6cd5\u3002<\/p>\n\n\n\n<p>\u63a8\u8350\u7406\u7531\uff1a\u5728\u6cdb\u5316\u65b9\u9762\uff0c\u9664\u4e86\u53ef\u4ee5\u53c2\u8003\u7efc\u8ff0\u7c7b\u4e66\u7c4d\u7684\u6b63\u5219\u5316\u6280\u672f\u7ae0\u8282\u4e4b\u5916\uff0cVapnik\u7684\u8fd9\u672c\u4e66\u5c06\u6cdb\u5316\u6027\u80fd\u63cf\u8ff0\u6210\u7edf\u8ba1\u63a8\u65ad\u95ee\u9898\uff0c\u63d0\u51fa\u4e86\u8457\u540d\u7684VC\u5bb9\u5ea6\u6765\u89e3\u7b54\u6cdb\u5316\u95ee\u9898\uff0c\u5e76\u7531\u6b64\u8bbe\u8ba1\u4e86\u7ed3\u6784\u98ce\u9669\u6700\u5c0f\u539f\u5219\uff0c\u5f15\u51faSVM\u7b97\u6cd5\u3002<\/p>\n\n\n\n<p>\u8fd1\u51e0\u5e74\uff0c\u6df1\u5ea6\u5b66\u4e60\u7684\u7406\u8bba\u53d7\u5230\u5b66\u672f\u754c\u7684\u5e7f\u6cdb\u5173\u6ce8\uff0c\u5e0c\u671b\u4e0d\u8fdc\u7684\u5c06\u6765\u6211\u4eec\u80fd\u5bf9\u6df1\u5ea6\u5b66\u4e60\u7684\u903c\u8fd1\u3001\u4f18\u5316\u3001\u6cdb\u5316\u6709\u66f4\u6df1\u5165\u5168\u9762\u7684\u4e86\u89e3\uff0c\u6d8c\u73b0\u51fa\u4e00\u6279\u6df1\u5ea6\u5b66\u4e60\u7406\u8bba\u7684\u4e66\u7c4d\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u673a\u5668\u5b66\u4e60\u7406\u8bba\u5ef6\u5c55\u7bc7\">\u673a\u5668\u5b66\u4e60\u7406\u8bba\u5ef6\u5c55\u7bc7<\/h2>\n\n\n\n<p>\u524d\u6587\u4e2d\u7684\u673a\u5668\u5b66\u4e60\u7406\u8bba\u5747\u4ee5\u7edf\u8ba1\u5b66\u63cf\u8ff0\u5b66\u4e60\u7b97\u6cd5\u6027\u80fd\u3002\u9664\u6b64\u4e4b\u5916\uff0c\u4fe1\u606f\u8bba\u3001\u535a\u5f08\u8bba\u3001\u8ba1\u7b97\u590d\u6742\u5ea6\u7684\u76f8\u5173\u7406\u8bba\u4e5f\u4e0e\u673a\u5668\u5b66\u4e60\u8054\u7cfb\u5bc6\u5207\uff0c\u56e0\u6b64\u5728\u8fd9\u91cc\u63a8\u8350\u4e00\u4e9b\u76f8\u5173\u4e66\u7c4d\u4f5c\u4e3a\u673a\u5668\u5b66\u4e60\u7684\u7406\u8bba\u5ef6\u5c55\u3002<\/p>\n\n\n\n<p><strong>\u4fe1\u606f\u8bba<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1aThomas M. Cover, Joy A. Thomas<\/p>\n\n\n\n<p>\u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u4e2d\u7ea7\u5b66\u8005<\/p>\n\n\n\n<p>\u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"325\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-7.jpg\" alt=\"\u4fe1\u606f\u8bba\" class=\"wp-image-1064787\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-7.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-7-185x300.jpg 185w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-7-111x180.jpg 111w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u4e3b\u8981\u5185\u5bb9\uff1a\u8fd9\u672c\u4e66\u662f\u4fe1\u606f\u8bba\u9886\u57df\u4e2d\u7684\u4e00\u672c\u7b80\u660e\u6613\u61c2\u7684\u6559\u6750\uff0c\u5bf9\u71b5\u3001\u4fe1\u6e90\u3001\u4fe1\u9053\u5bb9\u91cf\u3001\u7387\u5931\u771f\u3001\u6570\u636e\u538b\u7f29\u4e0e\u7f16\u7801\u7406\u8bba\u3001\u590d\u6742\u5ea6\u7406\u8bba\u3001\u7f51\u7edc\u4fe1\u606f\u8bba\u548c\u5047\u8bbe\u68c0\u9a8c\u7b49\u8fdb\u884c\u4e86\u4ecb\u7ecd\uff0c\u80fd\u5728\u7406\u8bba\u548c\u5e94\u7528\u65b9\u9762\u4e3a\u8bfb\u8005\u6253\u4e0b\u575a\u5b9e\u7684\u57fa\u7840\u3002<\/p>\n\n\n\n<p>\u63a8\u8350\u7406\u7531\uff1a\u4fe1\u606f\u8bba\u5bf9\u7406\u89e3\u6a21\u578b\u6709\u72ec\u7279\u7684\u89c6\u89d2\uff0c\u53ef\u4ee5\u7ed9\u51fa\u975e\u76d1\u7763\u6982\u7387\u751f\u6210\u6a21\u578b\u7684\u7edf\u4e00\u4f53\u7cfb\uff0c\u4e5f\u6709\u4eba\u5c1d\u8bd5\u7528\u6765\u7406\u89e3\u6df1\u5ea6\u5b66\u4e60\u7684\u4fe1\u606f\u74f6\u9888\u3002\u8fd9\u672c\u4e66\u4e2d\u6982\u5ff5\u6e05\u695a\uff0c\u5185\u5bb9\u5b8c\u6574\u3002<\/p>\n\n\n\n<p><strong>\u535a\u5f08\u8bba<\/strong><\/p>\n\n\n\n<p><strong>A course in game theory<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1aMartin J. Osborne, Ariel Rubinstein<\/p>\n\n\n\n<p>\u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u4e2d\u7ea7\u5b66\u8005<\/p>\n\n\n\n<p>\u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"282\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-8.jpg\" alt=\"\u535a\u5f08\u8bba\" class=\"wp-image-1064790\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-8.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-8-128x180.jpg 128w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u4e3b\u8981\u5185\u5bb9\uff1a\u672c\u4e66\u4ecb\u7ecd\u4e86\u535a\u5f08\u8bba\u7684\u57fa\u672c\u6982\u5ff5\u548c\u7406\u8bba\u57fa\u7840\uff0c\u7531\u56db\u90e8\u5206\u7ec4\u6210\uff1a\u6218\u7565\u535a\u5f08\u3001\u5b8c\u5168\u4fe1\u606f\u6269\u5c55\u535a\u5f08\u3001\u4e0d\u5b8c\u5168\u4fe1\u606f\u6269\u5c55\u535a\u5f08\u4ee5\u53ca\u8054\u76df\u535a\u5f08\u3002<\/p>\n\n\n\n<p>\u63a8\u8350\u7406\u7531\uff1a\u968f\u7740\u4ea4\u4e92\u73af\u5883\u4e2d\u5f3a\u5316\u5b66\u4e60\u6280\u672f\u7684\u5174\u8d77\uff0c\u535a\u5f08\u8bba\u4e3a\u6211\u4eec\u63cf\u8ff0\u6216\u8005\u5efa\u7acbagent\u7684\u884c\u4e3a\u63d0\u4f9b\u4e86\u6709\u6548\u7684\u6982\u5ff5\u3002\u8fd9\u672c\u4e66\u4e2d\u5c06\u7406\u8bba\u4e0e\u4f8b\u5b50\u7ed3\u5408\uff0c\u76f4\u89c2\u6613\u61c2\u3002<\/p>\n\n\n\n<p><strong>\u8ba1\u7b97\u590d\u6742\u5ea6<\/strong><\/p>\n\n\n\n<p><strong>Computational complexity\uff1aA modern approach<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1aSanjeev Arora<\/p>\n\n\n\n<p>\u9002\u5408\u4eba\u7fa4\uff1a\u4e2d\u7ea7\u5230\u9ad8\u7ea7\u5b66\u8005<\/p>\n\n\n\n<p>\u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"301\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-9.jpg\" alt=\"\u8ba1\u7b97\u590d\u6742\u5ea6\" class=\"wp-image-1064793\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-9.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-9-120x180.jpg 120w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u4e3b\u8981\u5185\u5bb9: \u8fd9\u672c\u4e66\u6db5\u76d6\u4e86\u8ba1\u7b97\u590d\u6742\u5ea6\u7406\u8bba\u7684\u7ecf\u5178\u6210\u679c\u548c\u6700\u8fd1\u7684\u6210\u5c31\uff0c\u53ef\u4f5c\u4e3a\u4efb\u4f55\u611f\u5174\u8da3\u7684\u8bfb\u8005\u7684\u81ea\u5b66\u53c2\u8003\u3002<\/p>\n\n\n\n<p>\u63a8\u8350\u7406\u7531\uff1a\u8ba1\u7b97\u590d\u6742\u5ea6\u523b\u753b\u4e86\u7b97\u6cd5\u7684\u6548\u7387\uff0c\u5c24\u5176\u662f\u9488\u5bf9\u79bb\u6563\u7684\u7ec4\u5408\u4f18\u5316\u3002\u5982\u679c\u5bf9\u4e0e\u673a\u5668\u5b66\u4e60\u6709\u91cd\u8981\u5173\u7cfb\u7684\u52a0\u5bc6\u3001\u91cf\u5b50\u8ba1\u7b97\u611f\u5174\u8da3\uff0c\u53ef\u4ee5\u901a\u8fc7Sanjeev Arora\u7684\u8fd9\u672c\u4e66\u5bf9\u8ba1\u7b97\u590d\u6742\u5ea6\u6709\u66f4\u6df1\u5165\u7684\u4e86\u89e3\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u6570\u5b66\u57fa\u7840\u7bc7\">\u6570\u5b66\u57fa\u7840\u7bc7<\/h2>\n\n\n\n<p>\u53e6\u5916\uff0c\u8fd8\u6709\u6781\u5176\u91cd\u8981\u7684\u4e00\u70b9\u2014\u2014\u5165\u5751\u673a\u5668\u5b66\u4e60\u7684\u4f60\uff0c\u522b\u5fd8\u4e86\u6253\u597d\u6570\u5b66\u529f\u5e95\uff01\u4f5c\u4e3a\u7406\u89e3\u548c\u6539\u8fdb\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u5fc5\u7ecf\u4e4b\u8def\uff0c\u6570\u5b66\u662f\u4e00\u5207\u7684\u57fa\u7840\u3002\u4ece\u6982\u7387\u8bba\u3001\u4ee3\u6570\u5230\u5b9e\u53d8\u51fd\u6570\uff0c\u624e\u624e\u5b9e\u5b9e\u8d70\u597d\u6bcf\u4e00\u6b65\uff0c\u624d\u80fd\u8ba9\u540e\u9762\u7684\u8fdb\u9636\u5b66\u4e60\u66f4\u52a0\u987a\u5229\u3002<\/p>\n\n\n\n<p><strong>Probability<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1aA.N.Shiryaev<\/p>\n\n\n\n<p>\u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u9ad8\u7ea7\u5b66\u8005<\/p>\n\n\n\n<p>\u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"319\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-10.jpg\" alt=\"Probability\" class=\"wp-image-1064796\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-10.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-10-188x300.jpg 188w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-10-113x180.jpg 113w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u63a8\u8350\u7406\u7531\uff1a\u6982\u7387\u8bba\u662f\u7edf\u8ba1\u5b66\u548c\u673a\u5668\u5b66\u4e60\u7684\u57fa\u672c\u63cf\u8ff0\u8bed\u8a00\uff0c\u503c\u5f97\u597d\u597d\u5b66\u4e60\u3002\u63a8\u8350Probability\uff0c\u8fd9\u672c\u4e66\u4e0d\u4ec5\u5185\u5bb9\u5168\u9762\uff0c\u63a8\u5bfc\u6e05\u6670\uff0c\u800c\u4e14\u6709\u76f4\u89c2\u7684\u4f8b\u5b50\u3002\u8bfb\u8005\u53ef\u4ee5\u8df3\u8fc7\u4e66\u4e2d\u90e8\u5206\u8f83\u6df1\u5165\u7684\u7ae0\u8282\u3002<\/p>\n\n\n\n<p><strong>\u9ad8\u7b49\u4ee3\u6570<\/strong><\/p>\n\n\n\n<p>\u51fa\u7248\u793e\uff1a\u9ad8\u7b49\u6559\u80b2\u51fa\u7248\u793e<\/p>\n\n\n\n<p>\u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u4e2d\u7ea7\u5b66\u8005<\/p>\n\n\n\n<p>\u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"294\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-11.jpg\" alt=\"\u9ad8\u7b49\u4ee3\u6570\" class=\"wp-image-1064799\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-11.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-11-122x180.jpg 122w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u63a8\u8350\u7406\u7531\uff1a\u4ee3\u6570\u662f\u5904\u7406\u77e9\u9635\u95ee\u9898\u7684\u4e3b\u8981\u6280\u672f\uff0c\u540c\u65f6\u53ef\u4ee5\u5e2e\u52a9\u6df1\u5165\u7406\u89e3\uff08\u7ebf\u6027\uff09\u7a7a\u95f4\u3002\u63a8\u8350\u9ad8\u7b49\u6559\u80b2\u51fa\u7248\u793e\u7684\u300a\u9ad8\u7b49\u4ee3\u6570\u300b\uff0c\u6982\u5ff5\u6e05\u6670\uff0c\u91cd\u8981\u5b9a\u7406\u53ca\u8bc1\u660e\u5b8c\u6574\uff0c\u5e76\u914d\u6709\u5927\u91cf\u4e60\u9898\u3002<\/p>\n\n\n\n<p>\u6b64\u5916\uff0c\u5b9e\u53d8\u51fd\u6570\u80fd\u591f\u5e2e\u52a9\u6211\u4eec\u6df1\u5165\u7406\u89e3\u6536\u655b\u3001\u5fae\u5206\u3001\u79ef\u5206\uff0c\u5e76\u7ed3\u5408\u6d4b\u5ea6\u8bba\u8fc7\u6e21\u5230\u968f\u673a\u79ef\u5206\u548c\u968f\u673a\u5fae\u5206\u65b9\u7a0b\uff0c\u800c\u968f\u673a\u5fae\u5206\u65b9\u7a0b\u662f\u63cf\u8ff0\u968f\u673a\u52a8\u6001\u7cfb\u7edf\u7684\u4e3b\u8981\u6280\u672f\u3002\u6cdb\u51fd\u5206\u6790\u4e2d\u7b97\u5b50\u7684\u6982\u5ff5\u548c\u56db\u5927\u5b9a\u7406\u5bf9\u673a\u5668\u5b66\u4e60\u5f88\u6709\u7528\u5904\uff0c\u6bd4\u5982\u7406\u89e3Q-learning\u7684Bellman \u7b97\u5b50\uff0c\u7528\u538b\u7f29\u6620\u5c04\u5b9a\u7406\u523b\u753b\u5f3a\u5316\u5b66\u4e60\u95ee\u9898\u7684\u4e0d\u52a8\u70b9\uff0c\u7b49\u7b49\u3002\u56e0\u6b64\uff0c\u4ee5\u4e0b\u56db\u672c\u76f8\u5173\u4e66\u7c4d\u4e5f\u503c\u5f97\u5927\u5bb6\u4ed4\u7ec6\u9605\u8bfb\u3002<\/p>\n\n\n\n<p><strong>\u5b9e\u53d8\u51fd\u6570\u8bba<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1a\u5468\u6c11\u5f3a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"299\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-12.jpg\" alt=\"\u5b9e\u53d8\u51fd\u6570\u8bba\" class=\"wp-image-1064802\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-12.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-12-120x180.jpg 120w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p><strong>\u6d4b\u5ea6\u4e0e\u6982\u7387<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1a\u4e25\u58eb\u5065\uff0c\u5218\u79c0\u82b3<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"269\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-13.jpg\" alt=\"\u6d4b\u5ea6\u4e0e\u6982\u7387\" class=\"wp-image-1064805\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-13.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-13-134x180.jpg 134w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p><strong>\u6cdb\u51fd\u5206\u6790\u8bb2\u4e49<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1a\u5f20\u606d\u5e86\uff0c\u90ed\u61cb\u6b63<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"268\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-14.jpg\" alt=\"\u6cdb\u51fd\u5206\u6790\u8bb2\u4e49\" class=\"wp-image-1064808\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-14.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-14-134x180.jpg 134w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p><strong>\u968f\u673a\u5fae\u5206\u65b9\u7a0b\u5f15\u8bba<\/strong><\/p>\n\n\n\n<p>\u4f5c\u8005\uff1a\u9f9a\u5149\u9c81<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"292\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-15.jpg\" alt=\"\u968f\u673a\u5fae\u5206\u65b9\u7a0b\u5f15\u8bba\" class=\"wp-image-1064811\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-15.jpg 200w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/book-recommendation-machine-learning-math-15-123x180.jpg 123w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>\u6700\u540e\uff0c\u795d\u5927\u5bb6\u5b66\u4e60\u6109\u5feb\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7f16\u8005\u6309\uff1a\u5982\u4f55\u81ea\u5b66\u673a\u5668\u5b66\u4e60\uff1f\u9700\u8981\u54ea\u4e9b\u6570\u7406\u57fa\u7840\uff1f\u600e\u6837\u4ece\u5165\u95e8\u5230\u8fdb\u9636\uff0c\u6210\u5c31\u5927\u795e\u4e4b\u8def\uff1f\u5728\u8fd9\u7bc7\u4e66\u5355\u63a8\u8350\u4e2d\uff0c\u5fae\u8f6f\u4e9a\u6d32\u7814\u7a76\u9662\u673a\u5668\u5b66\u4e60\u7ec4\u7814\u7a76\u5458\u4eec\u4ece\u673a\u5668\u5b66\u4e60\u7efc\u8ff0\u3001\u7b97\u6cd5\u4f18\u5316\u3001\u7406\u8bba\u5ef6\u5c55\u3001\u6570\u5b66\u57fa\u7840\u56db\u5927\u65b9\u9762\u5165\u624b\uff0c\u4e3a\u5927\u5bb6\u63d0\u4f9b\u4e00\u4efd\u673a\u5668\u5b66\u4e60\u7684\u201c\u5b8c\u5168\u6307\u5357\u201d\u3002 \u5728\u8fd9\u4e2a\u8a00\u5fc5\u8c08\u201cAI\u201d\u7684\u65f6\u4ee3\uff0c\u673a\u5668\u5b66\u4e60\u662f\u91cd\u8981\u7684\u7b97\u6cd5\u5185\u6838\uff0c\u800c\u6570\u5b66\u662f\u7406\u89e3\u548c\u6539\u8fdb\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u5fc5\u7ecf\u4e4b\u8def\u3002\u56e0\u6b64\uff0c\u6211\u5c06\u5728\u8fd9\u7bc7\u6587\u7ae0\u4e2d\u68b3\u7406\u673a\u5668\u5b66\u4e60\u7684\u5173\u952e\u6a21\u5757\u548c\u4e0e\u4e4b\u8054\u7cfb\u7684\u6570\u5b66\u7406\u8bba\u5206\u652f\uff0c\u5217\u51fa\u4e00\u4efd\u673a\u5668\u5b66\u4e60\u7684\u6570\u5b66\u4e66\u5355\u3002 \u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u4e00\u822c\u6d41\u7a0b\uff0c\u662f\u6309\u7167\u5b66\u4e60\u95ee\u9898\u7684\u6027\u8d28\u8bbe\u8ba1\u6a21\u578b\uff0c\u5229\u7528\u4f18\u5316\u7b97\u6cd5\u6765\u6700\u5c0f\u5316\u6a21\u578b\u7684\u6b63\u5219\u5316\u7ecf\u9a8c\u98ce\u9669\uff0c\u4ece\u800c\u5b66\u4e60\u51fa\u6700\u4f18\u6a21\u578b\uff0c\u7136\u540e\u5e94\u7528\u5230\u65b0\u7684\u6d4b\u8bd5\u6570\u636e\u4e0a\u3002\u6839\u636e\u5b66\u4e60\u95ee\u9898\u3001\u6a21\u578b\u3001\u4f18\u5316\u7b97\u6cd5\u3001\u6b63\u5219\u5316\u65b9\u6cd5\u7684\u4e0d\u540c\uff0c\u5b66\u4e60\u7b97\u6cd5\u5206\u4e3a\u8bb8\u591a\u79cd\u7c7b\u3002\u6d4f\u89c8\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7efc\u8ff0\u7c7b\u4e66\u7c4d\u7684\u76ee\u5f55\uff0c\u5c31\u4e0d\u96be\u53d1\u73b0\u673a\u5668\u5b66\u4e60\u7684\u7b97\u6cd5\u4f53\u7cfb\u3002\u4ee5\u4e0b3\u672c\u673a\u5668\u5b66\u4e60\u7efc\u8ff0\u7c7b\u4e66\u7c4d\uff0c\u80fd\u5e2e\u52a9\u4f60\u5efa\u7acb\u5bf9\u673a\u5668\u5b66\u4e60\u7684\u6574\u4f53\u8ba4\u77e5\uff1a 1\uff09Pattern recognition and machine learning \u4f5c\u8005\uff1aChristoper M. Bishop \u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u4e2d\u7ea7\u5b66\u8005 \u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605 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\u63a8\u8350\u7406\u7531\uff1a\u8fd9\u672c\u4e66\u6d45\u663e\u6613\u61c2\uff0c\u751f\u52a8\u5f62\u8c61\uff0c\u8f83\u4e3a\u5168\u9762\u5730\u6db5\u76d6\u4e86\u7ebf\u6027\u56de\u5f52\u3001\u795e\u7ecf\u7f51\u7edc\u3001\u6838\u65b9\u6cd5\u7b49\u7ecf\u5178\u7684\u76d1\u7763\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\uff0c\u4ee5\u53ca\u975e\u76d1\u7763\u7684\u6982\u7387\u56fe\u6a21\u578b\u548cEM\u7b97\u6cd5\uff0c\u975e\u5e38\u9002\u5408\u521d\u6b65\u63a5\u89e6\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u8bfb\u8005\u4eec\u3002 2\uff09Neural networks and learning machines \u4f5c\u8005\uff1aSimon Haykin \u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u4e2d\u7ea7\u5b66\u8005 \u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605 \u4e3b\u8981\u5185\u5bb9\uff1a\u672c\u4e66\u517115\u7ae0\uff0c\u662f\u5173\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u975e\u5e38\u5168\u9762\u7684\u3001\u6700\u65b0\u7684\u8bba\u8ff0\uff0c\u5185\u5bb9\u5305\u62ecRosenblatt\u611f\u77e5\u5668\u3001\u56de\u5f52\u6a21\u578b\u3001\u591a\u5c42\u611f\u77e5\u5668\u3001\u6838\u65b9\u6cd5\u548c\u5f84\u5411\u57fa\u51fd\u6570\u7f51\u7edc\u3001\u652f\u6301\u5411\u91cf\u673a\u3001\u6b63\u5219\u5316\u7406\u8bba\u3001\u4fe1\u606f\u8bba\u5b66\u4e60\u6a21\u578b\u7b49\u3002 \u63a8\u8350\u7406\u7531\uff1a\u8fd9\u672c\u4e66\u4ece\u795e\u7ecf\u7f51\u7edc\u8bb2\u8d77\uff0c\u5faa\u5e8f\u6e10\u8fdb\uff0c\u4ece\u611f\u77e5\u673a\u3001\u591a\u5c42\u611f\u77e5\u673a\u3001\u5f84\u5411\u57fa\u51fd\u6570\u611f\u77e5\u673a\uff0c\u8fc7\u6e21\u5230\u6838\u65b9\u6cd5\u548cSVM\uff0c\u7136\u540e\u8ba8\u8bba\u5b66\u4e60\u7b97\u6cd5\u4e0e\u4fe1\u606f\u8bba\u548c\u7edf\u8ba1\u7684\u5173\u8054\u5173\u7cfb\uff0c\u6700\u540e\u4ecb\u7ecd\u52a8\u6001\u7cfb\u7edf\u7684\u5b66\u4e60\u53ca\u5176\u4e0e\u9012\u5f52\u795e\u7ecf\u7f51\u7edc\u7684\u5173\u7cfb\u3002 3\uff09Deep Learning \u4f5c\u8005\uff1aIan Goodfellow, Yuoshua Bengio, Aaron Couville \u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u4e2d\u7ea7\u5b66\u8005 \u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605 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\u63a8\u8350\u7406\u7531\uff1a\u8fd9\u672c\u4e66\u4fa7\u91cd\u6df1\u5ea6\u5b66\u4e60\u57282006\u5e74\u518d\u6b21\u5174\u8d77\u3001\u83b7\u5f97\u66f4\u5927\u6210\u529f\u4e4b\u540e\u7684\u65b0\u8fdb\u5c55\uff0c\u5c24\u5176\u4ecb\u7ecd\u4e86\u6df1\u5ea6\u5b66\u4e60\u5728\u81ea\u7136\u8bed\u8a00\u5904\u7406\u3001\u8bed\u97f3\u8bc6\u522b\u3001\u8ba1\u7b97\u673a\u89c6\u89c9\u3001\u5728\u7ebf\u63a8\u8350\u7b49\u4e2d\u7684\u5e94\u7528\uff0c\u800c\u4e14\u5305\u542b\u4e86\u8868\u8fbe\u5b66\u4e60\u8fd9\u4e00\u7814\u7a76\u89c6\u89d2\u3002 \u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u6700\u7ec8\u6027\u80fd\u4f1a\u53d7\u5230\u4e09\u4e2a\u56e0\u7d20\u7684\u5f71\u54cd\uff1a\u6a21\u578b\u7a7a\u95f4\u7684\u8868\u8fbe\u529b\u3001\u4f18\u5316\u7b97\u6cd5\u7684\u6536\u655b\u901f\u7387\u3001\u6cdb\u5316\u80fd\u529b\u3002\u5728\u8868\u8fbe\u529b\u65b9\u9762\uff0c\u9664\u4e86\u795e\u7ecf\u7f51\u7edc\u7684\u666e\u904d\u903c\u8fd1\u5b9a\u7406\u4e4b\u5916\uff0c\u5b9a\u91cf\u7684\u7814\u7a76\u975e\u5e38\u6709\u9650\u3002\u63a8\u8350\u4ee5\u4e0b3\u672c\u4ecb\u7ecd\u4f18\u5316\u7b97\u6cd5\u7684\u4e66\u7c4d\uff1a 1\uff09Convex optimization \u4f5c\u8005\uff1aSteve Boyd \u9002\u5408\u4eba\u7fa4\uff1a\u521d\u7ea7\u5230\u4e2d\u7ea7\u5b66\u8005 \u63a8\u8350\u6307\u6570\uff1a\u2605\u2605\u2605\u2605\u2605 \u4e3b\u8981\u5185\u5bb9\uff1a\u672c\u4e66\u5206\u4e3a\u7406\u8bba\u3001\u5e94\u7528\u3001\u7b97\u6cd5\u4e09\u5927\u90e8\u5206\u3002\u7406\u8bba\u90e8\u5206\u4ecb\u7ecd\u57fa\u7840\u6982\u5ff5\u3001\u77e5\u8bc6\u548c\u65b9\u6cd5\uff1b\u5e94\u7528\u90e8\u5206\u4ecb\u7ecd\u51f8\u4f18\u5316\u5728\u89e3\u51b3\u903c\u8fd1\u4e0e\u62df\u5408\u3001\u7edf\u8ba1\u4f30\u8ba1\u548c\u51e0\u4f55\u5173\u7cfb\u5206\u6790\u8fd9\u4e09\u7c7b\u5b9e\u9645\u95ee\u9898\u4e2d\u7684\u5e94\u7528\uff1b\u7b97\u6cd5\u90e8\u5206\u4ecb\u7ecd\u6c42\u89e3\u65e0\u7ea6\u675f\u51f8\u4f18\u5316\u6a21\u578b\u3001\u7b49\u5f0f\u7ea6\u675f\u51f8\u4f18\u5316\u6a21\u578b\u4ee5\u53ca\u5305\u542b\u4e0d\u7b49\u5f0f\u7ea6\u675f\u7684\u51f8\u4f18\u5316\u6a21\u578b\u7684\u7ecf\u5178\u6570\u503c\u65b9\u6cd5\uff0c\u4ee5\u53ca\u5982\u4f55\u5229\u7528\u51f8\u4f18\u5316\u7406\u8bba\u5206\u6790\u8fd9\u4e9b\u65b9\u6cd5\u7684\u6536\u655b\u6027\u8d28\u3002 \u63a8\u8350\u7406\u7531\uff1a\u5185\u5bb9\u5168\u9762\uff0c\u4fa7\u91cd\u7b97\u6cd5\uff0c\u66f4\u9002\u5408\u521d\u5b66\u8005\uff0c\u80fd\u591f\u5e2e\u52a9\u8bfb\u8005\u5bf9\u51f8\u4f18\u5316\u7406\u8bba\u548c\u65b9\u6cd5\u5efa\u7acb\u5b8c\u6574\u7684\u8ba4\u8bc6\u3002 2\uff09Convex analysis and optimization \u4f5c\u8005\uff1aDimitri P. 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