{"id":310,"date":"2023-08-02T17:51:20","date_gmt":"2023-08-02T17:51:20","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e9%80%bb%e8%be%91%e5%9b%9e%e5%bd%921\/"},"modified":"2023-08-02T17:51:20","modified_gmt":"2023-08-02T17:51:20","slug":"%e9%80%bb%e8%be%91%e5%9b%9e%e5%bd%921","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e9%80%bb%e8%be%91%e5%9b%9e%e5%bd%921\/","title":{"rendered":"\u903b\u8f91\u56de\u5f52"},"content":{"rendered":"

\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u7684\u903b\u8f91\u56de\u5f52\u662f\u4ec0\u4e48\u3002\u540c\u6837\uff0c\u60a8\u5c06\u627e\u5230\u903b\u8f91\u56de\u5f52\u516c\u5f0f\u3001\u903b\u8f91\u56de\u5f52\u7684\u4e0d\u540c\u7c7b\u578b\u4ee5\u53ca\u5df2\u89e3\u51b3\u7684\u903b\u8f91\u56de\u5f52\u7ec3\u4e60\u3002 <\/p>\n

<\/span>\u4ec0\u4e48\u662f\u903b\u8f91\u56de\u5f52\uff1f<\/span><\/h2>\n

\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u903b\u8f91\u56de\u5f52<\/strong>\u662f\u4e00\u79cd\u7528\u4e8e\u9884\u6d4b\u5206\u7c7b\u53d8\u91cf<\/a>\u7ed3\u679c\u7684\u56de\u5f52\u6a21\u578b\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u903b\u8f91\u56de\u5f52\u7528\u4e8e\u6839\u636e\u81ea\u53d8\u91cf\u5bf9\u5206\u7c7b\u53d8\u91cf\u53d6\u7279\u5b9a\u503c\u7684\u6982\u7387\u8fdb\u884c\u5efa\u6a21\u3002<\/p>\n

\u6700\u5e38\u89c1\u7684\u903b\u8f91\u56de\u5f52\u6a21\u578b\u662f\u4e8c\u5143\u903b\u8f91\u56de\u5f52\uff0c\u5176\u4e2d\u53ea\u6709\u4e24\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff1a\u201c\u5931\u8d25\u201d\u6216\u201c\u6210\u529f\u201d\uff08\u4f2f\u52aa\u5229\u5206\u5e03<\/a>\uff09\u3002 \u201c\u5931\u8d25\u201d\u7528\u503c 0 \u8868\u793a\uff0c\u800c\u201c\u6210\u529f\u201d\u7528\u503c 1 \u8868\u793a\u3002<\/p>\n

\u4f8b\u5982\uff0c\u53ef\u4ee5\u4f7f\u7528\u903b\u8f91\u56de\u5f52\u6a21\u578b\u6765\u7814\u7a76\u5b66\u751f\u6839\u636e\u5b66\u4e60\u65f6\u95f4\u901a\u8fc7\u8003\u8bd5\u7684\u6982\u7387\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5931\u8d25\u5c06\u662f\u201c\u5931\u8d25\u201d\u7684\u7ed3\u679c\uff0c\u800c\u53e6\u4e00\u65b9\u9762\uff0c\u6210\u529f\u5c06\u662f\u201c\u6210\u529f\u201d\u7684\u7ed3\u679c\u3002 <\/p>\n

<\/span>\u903b\u8f91\u56de\u5f52\u516c\u5f0f<\/span><\/h2>\n

\u903b\u8f91\u56de\u5f52\u6a21\u578b\u7684\u65b9\u7a0b\u4e3a\uff1a<\/p>\n<\/p>\n

\"\\displaystyle<\/p>\n<\/p>\n

\u56e0\u6b64\uff0c\u5728\u903b\u8f91\u56de\u5f52\u6a21\u578b\u4e2d\uff0c\u83b7\u5f97\u201c\u6210\u529f\u201d\u7ed3\u679c\uff0c\u5373\u56e0\u53d8\u91cf\u53d6\u503c\u4e3a1\u7684\u6982\u7387\uff0c\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a<\/p>\n<\/p>\n

\"p=\\cfrac{1}{1+e^{-(\\beta_0+\\beta_1x_1+\\beta_2x_2+\\dots+\\beta_ix_i)}}\"<\/p>\n<\/p>\n

\u91d1\u5b50\uff1a<\/p>\n

    \n
  • \n

    \"p\"<\/p>\n

    \u662f\u56e0\u53d8\u91cf\u4e3a 1 \u7684\u6982\u7387\u3002<\/li>\n

  • \n

    \"\\beta_0\"<\/p>\n

    \u662f\u903b\u8f91\u56de\u5f52\u6a21\u578b\u7684\u5e38\u6570\u3002<\/li>\n

  • \n

    \"\\beta_i\"<\/p>\n

    \u662f\u53d8\u91cf i \u7684\u56de\u5f52\u7cfb\u6570\u3002<\/li>\n

  • \n

    \"x_i\"<\/p>\n

    \u662f\u53d8\u91cf i \u7684\u503c\u3002 <\/li>\n<\/ul>\n

    <\/span>\u903b\u8f91\u56de\u5f52\u6a21\u578b\u793a\u4f8b<\/span><\/h2>\n

    \u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u903b\u8f91\u56de\u5f52\u7684\u5b9a\u4e49\uff0c\u8ba9\u6211\u4eec\u770b\u4e00\u4e2a\u5982\u4f55\u521b\u5efa\u6b64\u7c7b\u56de\u5f52\u6a21\u578b\u7684\u5177\u4f53\u793a\u4f8b\u3002<\/p>\n

      \n
    • \u4e0b\u8868\u6c47\u603b\u4e86 20 \u6761\u6570\u636e\uff0c\u5176\u4e2d\u6d89\u53ca\u6bcf\u4e2a\u5b66\u751f\u7684\u5b66\u4e60\u65f6\u95f4\u4ee5\u53ca\u4ed6\u4eec\u662f\u5426\u901a\u8fc7\u6216\u672a\u901a\u8fc7\u7edf\u8ba1\u8003\u8bd5\u3002\u8fd0\u884c\u903b\u8f91\u56de\u5f52\u6a21\u578b\u5e76\u8ba1\u7b97\u5b66\u751f\u5b66\u4e60 4 \u5c0f\u65f6\u540e\u901a\u8fc7\u7684\u6982\u7387\u3002 <\/li>\n<\/ul>\n
      \"\"<\/figure>\n

      \u5728\u672c\u4f8b\u4e2d\uff0c\u89e3\u91ca\u53d8\u91cf\u662f\u5b66\u4e60\u65f6\u6570\uff0c\u54cd\u5e94\u53d8\u91cf\u662f\u5b66\u751f\u672a\u901a\u8fc7 (0) \u8fd8\u662f\u901a\u8fc7 (1)\u3002\u56e0\u6b64\uff0c\u5728\u6211\u4eec\u7684\u6a21\u578b\u4e2d\uff0c\u6211\u4eec\u53ea\u6709\u7cfb\u6570<\/p>\n<\/p>\n

      \"\\beta_0\"<\/p>\n

      \u548c\u7cfb\u6570<\/p>\n

      \"\\beta_1\"<\/p>\n

      \uff0c\u56e0\u4e3a\u53ea\u6709\u4e00\u4e2a\u81ea\u53d8\u91cf\u3002<\/p>\n<\/p>\n

      \"\\beta_0<\/p>\n<\/p>\n

      \u624b\u52a8\u786e\u5b9a\u56de\u5f52\u7cfb\u6570\u975e\u5e38\u8d39\u529b\uff0c\u56e0\u6b64\u5efa\u8bae\u4f7f\u7528Minitab\u7b49\u8ba1\u7b97\u673a\u8f6f\u4ef6\u3002\u56e0\u6b64\uff0c\u4f7f\u7528Minitab\u8ba1\u7b97\u51fa\u7684\u56de\u5f52\u7cfb\u6570\u7684\u503c\u5982\u4e0b\uff1a<\/p>\n<\/p>\n

      \"\\begin{array}{c}\\beta_0\\approx<\/p>\n<\/p>\n

      \u56e0\u6b64\u903b\u8f91\u56de\u5f52\u6a21\u578b\u5982\u4e0b\uff1a<\/p>\n<\/p>\n

      \"\\begin{aligned}p&=\\cfrac{1}{1+e^{-(\\beta_0+\\beta_1x_1+\\beta_2x_2+\\dots+\\beta_ix_i)}}\\\\[2ex]p&=\\cfrac{1}{1+e^{-(-4,1+1,5x_1)}}\\\\[2ex]p&=\\cfrac{1}{1+e^{4,1-1,5x_1}}\\end{aligned}\"<\/p>\n<\/p>\n

      \u4e0b\u9762\u60a8\u53ef\u4ee5\u770b\u5230\u7ed8\u5236\u7684\u6837\u672c\u6570\u636e\u548c\u903b\u8f91\u56de\u5f52\u6a21\u578b\u65b9\u7a0b\uff1a <\/p>\n

      \"\u903b\u8f91\u56de\u5f52\u7684\u4f8b\u5b50\"<\/figure>\n

      \u56e0\u6b64\uff0c\u8981\u8ba1\u7b97\u5b66\u751f\u5b66\u4e60 4 \u5c0f\u65f6\u540e\u6210\u529f\u7684\u6982\u7387\uff0c\u53ea\u9700\u4f7f\u7528\u4ece\u903b\u8f91\u56de\u5f52\u6a21\u578b\u83b7\u5f97\u7684\u65b9\u7a0b\u5373\u53ef\uff1a<\/p>\n<\/p>\n

      \"\\begin{aligned}p&=\\cfrac{1}{1+e^{4,1-1,5x_1}}\\\\[2ex]p&=\\cfrac{1}{1+e^{4,1-1,5\\cdot<\/p>\n<\/p>\n

      \u7b80\u800c\u8a00\u4e4b\uff0c\u5982\u679c\u5b66\u751f\u5b66\u4e60\u56db\u4e2a\u5c0f\u65f6\uff0c\u4ed6\u4eec\u901a\u8fc7\u8003\u8bd5\u7684\u6982\u7387\u4e3a 86.99%\u3002 <\/p>\n

      <\/span>\u903b\u8f91\u56de\u5f52\u7684\u7c7b\u578b<\/span><\/h2>\n

      \u903b\u8f91\u56de\u5f52\u5206\u4e3a\u4e09\u79cd\u7c7b\u578b<\/strong>\uff1a<\/p>\n

        \n
      • \u4e8c\u5143Logistic\u56de\u5f52<\/strong>\uff1a\u56e0\u53d8\u91cf\u53ea\u80fd\u6709\u4e24\u4e2a\u503c\uff080\u548c1\uff09\u3002<\/span><\/li>\n
      • \u591a\u9879\u5f0f\u903b\u8f91\u56de\u5f52<\/strong>\uff1a\u56e0\u53d8\u91cf\u6709\u4e24\u4e2a\u4ee5\u4e0a\u7684\u53ef\u80fd\u503c\u3002<\/span><\/li>\n
      • \u5e8f\u6570\u903b\u8f91\u56de\u5f52<\/strong>\uff1a\u53ef\u80fd\u7684\u7ed3\u679c\u5177\u6709\u81ea\u7136\u987a\u5e8f\u3002<\/span> <\/li>\n<\/ul>\n

        <\/span>\u903b\u8f91\u56de\u5f52\u548c\u7ebf\u6027\u56de\u5f52<\/span><\/h2>\n

        \u6700\u540e\uff0c\u603b\u800c\u8a00\u4e4b\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u903b\u8f91\u56de\u5f52\u548c\u7ebf\u6027\u56de\u5f52\u4e4b\u95f4\u7684\u533a\u522b\uff0c\u56e0\u4e3a\u7edf\u8ba1\u5b66\u4e2d\u6700\u5e38\u7528\u7684\u56de\u5f52\u6a21\u578b\u662f\u7ebf\u6027\u6a21\u578b\u3002<\/p>\n

        \u7ebf\u6027\u56de\u5f52<\/strong>\u7528\u4e8e\u5bf9\u6570\u503c\u56e0\u53d8\u91cf\u8fdb\u884c\u5efa\u6a21\u3002\u6b64\u5916\uff0c\u5728\u7ebf\u6027\u56de\u5f52\u4e2d\uff0c\u89e3\u91ca\u53d8\u91cf\u548c\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u662f\u7ebf\u6027\u7684\u3002<\/p>\n

        \u56e0\u6b64\uff0c\u903b\u8f91\u56de\u5f52\u548c\u7ebf\u6027\u56de\u5f52\u4e4b\u95f4\u7684\u4e3b\u8981\u533a\u522b<\/strong>\u5728\u4e8e\u56e0\u53d8\u91cf\u7684\u7c7b\u578b\u3002\u5728\u903b\u8f91\u56de\u5f52\u4e2d\uff0c\u56e0\u53d8\u91cf\u662f\u5206\u7c7b\u53d8\u91cf\uff0c\u800c\u7ebf\u6027\u56de\u5f52\u4e2d\u7684\u56e0\u53d8\u91cf\u662f\u6570\u503c\u53d8\u91cf\u3002<\/p>\n

        \u56e0\u6b64\uff0c\u903b\u8f91\u56de\u5f52\u7528\u4e8e\u9884\u6d4b\u4e24\u4e2a\u53ef\u80fd\u9009\u9879\u4e4b\u95f4\u7684\u7ed3\u679c\uff0c\u800c\u7ebf\u6027\u56de\u5f52\u6709\u52a9\u4e8e\u9884\u6d4b\u6570\u503c\u7ed3\u679c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

        \u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u7684\u903b\u8f91\u56de\u5f52\u662f\u4ec0\u4e48\u3002\u540c\u6837\uff0c\u60a8\u5c06\u627e\u5230\u903b\u8f91\u56de\u5f52\u516c\u5f0f\u3001\u903b\u8f91\u56de\u5f52\u7684\u4e0d\u540c\u7c7b\u578b\u4ee5\u53ca\u5df2\u89e3\u51b3\u7684\u903b\u8f91\u56de\u5f52\u7ec3\u4e60\u3002 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-310","post","type-post","status-publish","format-standard","hentry","category-14"],"yoast_head":"\n\u25b7 \u903b\u8f91\u56de\u5f52<\/title>\n<meta name=\"description\" content=\"\u5728\u8fd9\u91cc\uff0c\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u903b\u8f91\u56de\u5f52\u3001\u5176\u516c\u5f0f\u3001\u5177\u4f53\u793a\u4f8b\u4ee5\u53ca\u903b\u8f91\u56de\u5f52\u7684\u4e0d\u540c\u7c7b\u578b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/\u903b\u8f91\u56de\u5f521\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 \u903b\u8f91\u56de\u5f52\" \/>\n<meta property=\"og:description\" content=\"\u5728\u8fd9\u91cc\uff0c\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u903b\u8f91\u56de\u5f52\u3001\u5176\u516c\u5f0f\u3001\u5177\u4f53\u793a\u4f8b\u4ee5\u53ca\u903b\u8f91\u56de\u5f52\u7684\u4e0d\u540c\u7c7b\u578b\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/cn\/\u903b\u8f91\u56de\u5f521\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-02T17:51:20+00:00\" \/>\n<meta property=\"og:image\" 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