{"id":1616,"date":"2012-06-24T09:55:50","date_gmt":"2012-06-24T01:55:50","guid":{"rendered":"http:\/\/www.yewen.us\/blog\/?p=1616"},"modified":"2012-06-24T09:55:50","modified_gmt":"2012-06-24T01:55:50","slug":"beauty-of-math-notes","status":"publish","type":"post","link":"https:\/\/www.yewen.us\/blog\/2012\/06\/beauty-of-math-notes\/","title":{"rendered":"\u8bfb\u5b8c\u4e86\u6570\u5b66\u4e4b\u7f8e"},"content":{"rendered":"<p>\u6b63\u5982\u4e0a\u4e00\u7bc7\u65e5\u5fd7\u4e2d\u63d0\u5230\u7684, \u6700\u8fd1\u4e70\u4e86<a href=\"http:\/\/weibo.com\/langchaozhidian\" title=\"\u65b0\u6d6a\u5fae\u535a @_\u6d6a\u6f6e\u4e4b\u5dc5_\" target=\"_blank\">\u5434\u519b\u535a\u58eb<\/a>\u7684<a href=\"http:\/\/book.douban.com\/subject\/10750155\/\" title=\"\u8c46\u74e3\u8bfb\u4e66: \u6570\u5b66\u4e4b\u7f8e\" target=\"_blank\">\u6570\u5b66\u4e4b\u7f8e<\/a>\u5e76\u5229\u7528\u665a\u4e0a\u7684\u65f6\u95f4\u5728\u770b. \u7c97\u7c97\u7684\u8fc7\u4e86\u4e00\u904d, \u628a\u4ee5\u524d\u5f88\u591a\u6ca1\u660e\u767d\u7684\u4e1c\u897f\u7ed9\u7406\u987a\u4e86\u4e0b, \u5177\u4f53\u7684\u4e00\u4e9b\u6570\u5b66\u63a8\u5bfc\u6ca1\u6765\u5f97\u53ca\u53bb\u9a8c\u8bc1. \u4e66\u7684\u540e\u534a\u90e8\u5206\u611f\u89c9\u6bd4\u8f83\u51cc\u4e71\u548c\u968f\u610f, \u4e0d\u8fc7\u8fd8\u662f\u503c\u5f97\u8d2d\u4e70\u53bb\u652f\u6301\u7684, \u5982\u679c\u5927\u5bb6\u90fd\u4e0d\u4e70\u4e66, \u90a3\u4ee5\u540e\u4e5f\u4f1a\u8d8a\u6765\u8d8a\u96be\u8bfb\u5230\u7ecf\u5178\u4e4b\u4f5c.<\/p>\n<p>\u8bfb\u7684\u8fc7\u7a0b\u4e2d\u7528\u624b\u673a\u7b80\u5355\u8bb0\u4e86\u4e9b\u7b80\u5355\u7684\u7b14\u8bb0, \u73b0\u5728\u56de\u5934\u60f3\u60f3, \u518d\u8fc7\u4e00\u4e0b:<\/p>\n<p><strong>\u65b9\u6cd5\u8bba<\/strong><\/p>\n<p>1. \u505a\u4e8b\u8981\u7b80\u6d01\u9ad8\u6548: \u7b80\u5355\u7c97\u66b4\u7684\u65b9\u6cd5, \u53ea\u8981\u662f\u5bf9\u7684\u90a3\u5c31\u5e94\u8be5\u8fd9\u4e48\u505a, \u4e0e\u5176\u82b1\u975e\u5e38\u5927\u7684\u4ee3\u4ef7\u5f04\u4e00\u4e2a\u8c8c\u4f3c\u5b8c\u7f8e\u7684\u7cfb\u7edf, \u6700\u540e\u8fd8\u4e0d\u4e00\u5b9a\u80fd\u4fdd\u8bc1\u7ed3\u679c, \u8fd8\u4e0d\u5982\u82b1\u5f88\u77ed\u7684\u65f6\u95f4\u53bb\u505a\u4e00\u4e2a\u80fd\u8fbe\u5230 90% \u6027\u80fd\u7684\u53ef\u7528\u7cfb\u7edf, \u5e76\u7528\u82e5\u5e72\u4e2a 90% \u6027\u80fd\u7684\u7cfb\u7edf\u7ec4\u5408\u8d77\u6765\u8fbe\u5230\u5b8c\u7f8e\u6548\u679c. \u8fd9\u4e00\u70b9\u4e5f\u662f\u6211\u975e\u5e38\u8ba4\u53ef\u548c\u575a\u6301\u7684, \u5728\u56e2\u961f\u91cc\u4e5f\u9700\u8981\u8d2f\u5f7b\u4e0b\u53bb.<\/p>\n<p>2. \u51e1\u4e8b\u90fd\u9700\u8981\u53ef\u89e3\u91ca: \u505a\u7b56\u7565\u505a\u7b97\u6cd5, \u4e00\u5b9a\u8981\u5bf9\u6bcf\u4e2a case \u7ed9\u51fa\u5408\u7406\u7684\u89e3\u91ca, \u8fd9\u6837\u624d\u80fd\u77e5\u9053\u600e\u4e48\u53bb\u6539\u8fdb. \u5434\u519b\u5728\u4e66\u91cc\u4e3e\u7684\u4f8b\u5b50\u662f\u8bf4\u641c\u7d22, \u4e00\u5f00\u59cb\u8981\u7528\u7b80\u5355\u9ad8\u6548\u7684\u7cfb\u7edf\u548c\u7279\u5f81\u6765\u4fdd\u8bc1\u9c81\u68d2\u6027\u548c\u53ef\u8c03\u8bd5\u6027, \u5176\u5b9e\u5728\u8ba1\u7b97\u5e7f\u544a\u548c\u63a8\u8350\u7cfb\u7edf\u91cc\u4e5f\u662f\u4e00\u6837, \u53ea\u662f\u6211\u4eec\u73b0\u5728\u603b\u4f1a\u4e00\u4e0a\u6765\u5c31\u5f04\u5f88\u591a\u590d\u6742\u7684\u4e0a\u53bb, \u5bfc\u81f4\u5f88\u96be\u8c03\u8bd5\u548c\u8ffd\u67e5, \u6700\u540e\u5c31\u4e00\u628a\u70c2\u8d26\u600e\u4e48\u4e5f\u7b97\u4e0d\u6e05. \u8fd9\u70b9\u4e0a\u81ea\u5df1\u4e00\u76f4\u505a\u7684\u4e0d\u597d, \u8981\u597d\u597d\u6ce8\u610f.<\/p>\n<p>3. \u771f\u7406\u5e94\u8be5\u62e5\u6709\u7b80\u5355\u6f02\u4eae\u7684\u63cf\u8ff0: \u81ea\u7136\u771f\u7406\u7684\u672c\u8d28\u63cf\u8ff0\u5f80\u5f80\u662f\u5f88\u7b80\u5355\u7684\u5f88\u6f02\u4eae\u7684, \u5982\u679c\u641e\u7684\u592a\u590d\u6742, \u5c31\u4e0d\u592a\u5bf9\u5934, \u591a\u534a\u662f\u65b9\u5411\u90fd\u9519\u4e86. \u4e66\u91cc\u7684\u4f8b\u5b50\u662f\u8bf4\u63cf\u8ff0\u592a\u9633\u7cfb\u7684\u884c\u661f\u8fd0\u52a8, \u5730\u5fc3\u8bf4\u7684\u6a21\u578b\u9700\u8981\u7528 40 \u5c42\u5706\u5468\u4fee\u6b63, \u65e5\u5fc3\u8bf4\u5219\u53ef\u4ee5\u964d\u4f4e\u5230 8-10 \u4e2a\u5706\u5468\u4fee\u6b63, \u4f46\u6700\u540e\u7684\u771f\u7406\u5374\u662f\u4e00\u4e2a\u692d\u5706\u65b9\u7a0b\u5c31\u5b8c\u7f8e\u89e3\u91ca.<\/p>\n<p><strong>\u5177\u4f53\u6848\u4f8b<\/strong><\/p>\n<p>1. \u65b0\u95fb\/\u6587\u672c\u5206\u7c7b\u4e2d\u7684\u52a0\u6743. \u5728\u505a\u4f59\u5f26\u76f8\u4f3c\u5ea6\u8ba1\u7b97\u65f6, \u9700\u8981\u8003\u8651\u4f4d\u7f6e\u52a0\u6743, \u8bcd\u6027\u52a0\u6743\u7b49\u5f71\u54cd. \u5bf9\u4e8e\u4f4d\u7f6e\u52a0\u6743, \u4e00\u822c\u7684\u601d\u8def\u90fd\u662f\u5bf9\u6811\u5f62\u7ed3\u6784\u505a\u52a0\u6743, \u6bd4\u5982\u666e\u901a\u6587\u7ae0\u7684\u6807\u9898\/\u6458\u8981\u7b49, \u7f51\u9875\u5219\u4e00\u822c\u662f HTML \u8bed\u6cd5\u6811\u7684\u52a0\u6743, \u5b9e\u9645\u4e0a Google \u5728\u5f88\u65e9\u4e4b\u524d\u5c31\u5f00\u59cb\u6a21\u62df\u7f51\u9875\u6e32\u67d3, \u505a\u7269\u7406\u4f4d\u7f6e\u7684\u52a0\u6743, \u800c\u8fd9\u4e00\u5957\u7f51\u9875\u6e32\u67d3\u7684\u6280\u672f, \u7528\u6765\u5f00\u53d1 Chrome \u4e0d\u662f\u6b63\u597d? \u800c\u4e14\u968f\u7740 Chrome \u7684\u5e02\u573a\u5360\u6709\u7387\u4e0a\u5347, \u4e5f\u53ef\u4ee5\u903c\u8feb\u9ad8\u8d28\u91cf\u7f51\u7ad9\u7684\u7f51\u9875\u4ee3\u7801\u4f1a\u66f4\u6807\u51c6, \u81f3\u5c11\u662f\u53ef\u4ee5\u517c\u5bb9 Chrome \u7684\u6807\u51c6, \u8fd9\u6837 Google \u53ef\u4ee5\u83b7\u5f97\u66f4\u51c6\u786e\u7684\u9875\u9762\u6e32\u67d3\u6548\u679c\u5e76\u7528\u4e8e\u6743\u91cd\u8ba1\u7b97, \u73b0\u5728\u5f88\u591a\u522b\u7684\u516c\u53f8\u4e5f\u5f00\u59cb\u5173\u6ce8\u6d4f\u89c8\u5668, \u4f46\u662f\u4e0d\u77e5\u9053\u6709\u6ca1\u6709\u60f3\u5230\u8fd9\u4e00\u5c42\u7528\u6cd5. \u8bcd\u6027\u52a0\u6743\u8fd9\u53c8\u56de\u5230 NLP \u7684\u57fa\u7840\u5efa\u8bbe\u4e0a, \u679c\u7136\u505a\u4e92\u8054\u7f51, \u8981\u505a\u7cbe\u505a\u6df1, NLP \u662f\u4e2a\u7ed5\u4e0d\u5f00\u7684\u5927\u5751, \u5c31\u7b97\u6570\u5b66\u6a21\u578b\u5982\u6b64\u4f18\u96c5\u548c\u6709\u7528, \u4f46\u8fd8\u662f\u9700\u8981\u6709\u57fa\u7840\u6570\u636e\u624d\u80fd\u53bb\u8ba1\u7b97.<\/p>\n<p>2. Logistic Regression \u5728\u5de5\u4e1a\u754c\u7684\u5e7f\u6cdb\u5e94\u7528. \u81ea\u5df1\u597d\u50cf\u5728\u751f\u4ea7\u73af\u5883\u4e2d\u5c31\u7528\u8fc7\u8fd9\u4e00\u79cd\u6a21\u578b, \u63a5\u89e6\u8fc7\u7ebf\u6027\u56de\u5f52\u548c Naive Bayes, \u4f46\u662f\u90fd\u6ca1\u80fd\u53bb\u6df1\u5165\u7406\u89e3, \u5176\u4ed6 boosting \u548c SVM \u7b49\u65b9\u6cd5, \u6bcf\u6b21\u90fd\u662f\u542c\u4e86\u4e2a\u5927\u6982, \u4e00\u76f4\u6ca1\u7a7a\u53bb\u8bd5. \u6839\u636e\u81ea\u5df1\u7684\u7ecf\u9a8c, \u4ee5\u53ca\u5434\u519b\u7684\u8bf4\u6cd5, LR \u6700\u5927\u7684\u4f18\u70b9\u662f\u7ebf\u6027\u53e0\u52a0, \u76ae\u5b9e\u8010\u64cd\u4ee5\u53ca\u6c34\u5e73\u6269\u5c55\u6027\u597d, \u8fd9\u51e0\u4e2a\u90fd\u633a\u7b26\u5408\u65b9\u6cd5\u8bba\u7684. \u4e0d\u8fc7\u5728\u70b9\u51fb\u7387\u975e\u5e38\u4f4e\u7684\u73af\u5883\u4e0b, \u8981\u7528\u597d LR \u786e\u5b9e\u5f88\u96be, \u5434\u519b\u8bf4\u7684\u662f\u7279\u5f81\u6743\u91cd\u5728 [-6, +6] \u533a\u95f4\u624d\u6709\u610f\u4e49, \u6309 Sigmod \u53d8\u6362\u51fd\u6570 1\/(1+exp(-z)) \u8ba1\u7b97, -6 \u5bf9\u5e94\u7684\u4e5f\u4e0d\u8fc7\u662f 0.247%, \u8fd9\u4e2a\u70b9\u51fb\u7387\u5728\u641c\u7d22\u5e7f\u544a\u4ee5\u5916\u7684\u5f88\u591a\u5730\u65b9\u8fd8\u662f\u633a\u96be\u8fbe\u5230\u7684, \u52a0\u4e0a\u4f4d\u7f6e, beta0 \u7b49\u4fee\u6b63\u540e\u53ef\u4ee5\u8ba9\u503c\u5f88\u63a5\u8fd1, \u4f46\u662f\u7cbe\u5ea6\u53c8\u53d7\u5f88\u5927\u5f71\u54cd, \u4e4b\u524d\u60f3\u8fc7\u628a\u67d0\u4e2a\u5c0f\u533a\u95f4\u505a\u653e\u5927\u5904\u7406, \u4f46\u662f\u4e00\u76f4\u6ca1\u60f3\u6e05\u695a\u5230\u5e95\u8981\u600e\u4e48\u6269, \u600e\u4e48\u80fd\u7ef4\u6301\u76f8\u5bf9\u5173\u7cfb\u5e76\u53ef\u4ee5\u8fd8\u539f, \u6c42\u6307\u70b9.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6b63\u5982\u4e0a\u4e00\u7bc7\u65e5\u5fd7\u4e2d\u63d0\u5230\u7684, \u6700\u8fd1\u4e70\u4e86\u5434\u519b\u535a\u58eb\u7684\u6570\u5b66\u4e4b\u7f8e\u5e76\u5229\u7528\u665a\u4e0a\u7684\u65f6\u95f4\u5728\u770b. \u7c97\u7c97\u7684\u8fc7\u4e86\u4e00\u904d, \u628a\u4ee5\u524d\u5f88\u591a\u6ca1\u660e\u767d [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[5,7],"tags":[224,289,413],"class_list":["post-1616","post","type-post","status-publish","format-standard","hentry","category-work-life","category-tech-notes","tag-224","tag-289","tag-413"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p4aR5e-q4","_links":{"self":[{"href":"https:\/\/www.yewen.us\/blog\/wp-json\/wp\/v2\/posts\/1616","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.yewen.us\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.yewen.us\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.yewen.us\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.yewen.us\/blog\/wp-json\/wp\/v2\/comments?post=1616"}],"version-history":[{"count":0,"href":"https:\/\/www.yewen.us\/blog\/wp-json\/wp\/v2\/posts\/1616\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.yewen.us\/blog\/wp-json\/wp\/v2\/media?parent=1616"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.yewen.us\/blog\/wp-json\/wp\/v2\/categories?post=1616"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.yewen.us\/blog\/wp-json\/wp\/v2\/tags?post=1616"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}