{"id":2044,"date":"2019-02-17T22:37:53","date_gmt":"2019-02-17T14:37:53","guid":{"rendered":"http:\/\/www.storagelab.org.cn\/zhangdi\/?p=2044"},"modified":"2019-02-17T22:37:53","modified_gmt":"2019-02-17T14:37:53","slug":"%e4%bf%a1%e6%81%af%e7%86%b5%e5%ba%94%e7%94%a8%e9%9a%8f%e7%ac%944%ef%bc%9a%e4%bd%bf%e7%94%a8%e5%a4%9a%e7%bb%b4%e7%9b%b4%e6%96%b9%e5%9b%be%e8%bf%9b%e8%a1%8c%e5%a4%9a%e7%a7%8d%e7%bb%9f%e8%ae%a1%e9%87%8f","status":"publish","type":"post","link":"https:\/\/www.divis.cn\/index.php\/2019\/02\/17\/%e4%bf%a1%e6%81%af%e7%86%b5%e5%ba%94%e7%94%a8%e9%9a%8f%e7%ac%944%ef%bc%9a%e4%bd%bf%e7%94%a8%e5%a4%9a%e7%bb%b4%e7%9b%b4%e6%96%b9%e5%9b%be%e8%bf%9b%e8%a1%8c%e5%a4%9a%e7%a7%8d%e7%bb%9f%e8%ae%a1%e9%87%8f\/","title":{"rendered":"\u4fe1\u606f\u71b5\u5e94\u7528\u968f\u7b144\uff1a\u4f7f\u7528\u591a\u7ef4\u76f4\u65b9\u56fe\u8fdb\u884c\u591a\u79cd\u7edf\u8ba1\u91cf\u8ba1\u7b97"},"content":{"rendered":"

\u4e0a\u8282\u6211\u4eec\u8ba8\u8bba\u4e86\u591a\u7ef4\u76f4\u65b9\u56fe\u7684\u591a\u7ef4\u6570\u7ec4\u538b\u7f29\u5b58\u50a8\u6cd5\u3002\u8fd9\u4e00\u8282\u8ba8\u8bba\u5728\u4f7f\u7528\u6b64\u538b\u7f29\u5b58\u50a8\u6cd5\u7684\u60c5\u51b5\u4e0b\uff0c\u5982\u4f55\u9ad8\u6548\u5730\u8ba1\u7b97\u91cd\u8981\u7684\u7edf\u8ba1\u503c\u3002<\/p>\n

\u4e00\u3001\u8ba1\u7b97\u8054\u5408\u71b5<\/h2>\n

\u8bbep(x1<\/sub>, \u2026 , xn<\/sub>)\u662f\u79bb\u6563\u578b\u968f\u673a\u53d8\u91cfX1\u00a0<\/sub>, \u2026 , Xn<\/sub>\u7684\u8054\u5408\u6982\u7387\u5206\u5e03\u3002\u8054\u5408\u71b5\u7684\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n

\uff081\uff09<\/p>\n

\u8bbe\u6211\u4eec\u5df2\u7ecf\u6c42\u51fa\u4e86\u968f\u673a\u53d8\u91cfX1<\/sub>, \u2026 , Xn<\/sub>\u6784\u6210\u7684\u591a\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\uff0c\u4f7f\u7528\u591a\u7ef4\u6570\u7ec4\u538b\u7f29\u4fdd\u5b58\u6cd5\uff0c\u5176\u5b57\u5178\u8868\u8bb0\u505a Dj=P[x1 …\u00a0<\/sub>xn<\/span>] = p(x1<\/sub>, \u2026 , xn<\/sub>) !=0, \u5176\u4e2dj\u662f\u5b57\u5178\u8868\u7684\u4e0b\u6807\uff0c\u6700\u5927\u7b49\u4e8e\u76f4\u65b9\u56fe\u4e2d\u6240\u6709\u975e\u96f6\u9879\u7684\u4e2a\u6570\u3002 \u5373\u76f4\u65b9\u56fe\u4e2d\u6240\u6709\u975e\u96f6\u9879\u90fd\u7528\u952e\u503c\u5bf9\u8868\u793a\u4e86\u3002<\/p>\n

\u6309\u7167\u516c\u5f0f\uff081\uff09\u6765\u8ba1\u7b97\u8054\u5408\u71b5H(x1<\/sub>, \u2026 , xn<\/sub>)\uff0c\u663e\u7136\u5173\u952e\u5728\u4e8e p(x1<\/sub>, \u2026 , xn<\/sub>)\u4e0elog( p(x1<\/sub>, \u2026 , xn<\/sub>) )\u7684\u4e58\u79ef\u3002\u5bf9\u4e8e\u90a3\u4e9bp(x1<\/sub>, \u2026 , xn<\/sub>) = 0 \u7684\u9879\u6765\u8bf4\uff0cp(x1<\/sub>, \u2026 , xn<\/sub>)log( p(x1<\/sub>, \u2026 , xn<\/sub>) )=0\uff0c\u6545\u53ef\u4ee5\u5ffd\u7565\u76f4\u65b9\u56fe\u4e2d\u6240\u6709\u96f6\u9879\u3002\u800c\u5269\u4f59\u7684\u975e\u96f6\u9879\uff0c\u5df2\u7ecf\u4ee5\u952e\u503c\u5bf9\u7684\u5f62\u5f0f\u5b58\u50a8\u5728\u5b57\u5178\u8868\u91cc\u4e86\u3002\u6240\u4ee5\u53ea\u9700\u8981\u5c06\u5b57\u5178\u8868\u91cc\u7684\u6bcf\u4e00\u9879\uff0c\u8ba1\u7b97\u8be5\u9879\u548c\u5b83\u7684\u5bf9\u6570\u4e4b\u95f4\u7684\u4e58\u79ef\uff0c\u518d\u7d2f\u52a0\u8d77\u6765\u6c42\u8d1f\u6570\u5c31\u662f\u4e86\u3002\u5199\u4f5c\u516c\u5f0f\u5373\uff1aH(x1<\/sub>, \u2026 , xn<\/sub>) = -\u2211j<\/sub> Dj<\/sub> * log(Dj)<\/p>\n

\u4e8c\u3001\u8ba1\u7b97\u6761\u4ef6\u71b5<\/h2>\n

\u6839\u636e\u65b0\u7684\u591a\u7ef4\u6570\u7ec4\u538b\u7f29\u5b58\u50a8\u6cd5\uff0c\u5df2\u7ecf\u53ef\u4ee5\u8ba1\u7b97\u6761\u4ef6\u6982\u7387\u76f4\u65b9\u56fe\u3002\u5728\u4e0a\u4e00\u7bc7\u968f\u7b14<\/a>\u7684\u4e09.3\u8282\u5df2\u7ecf\u6709\u6240\u63cf\u8ff0\u3002\u8fd9\u91cc\u518d\u590d\u4e60\u4e00\u4e0b\uff1a<\/p>\n

\u7ed9\u5b9an\u4e2a\u53d8\u91cf\u7684\u53d8\u91cf\u96c6V=V0<\/sub>\uff0cV1<\/sub>\uff0c\u2026\uff0cVn-1<\/sub>\uff0cV\u6709\u4e00\u4e2a\u5b50\u96c6U\u00a0\u2282\u00a0<\/span>V\uff0c<\/span>\u00a0\u548c\u53e6\u4e00\u4e2a\u5b50\u96c6W\u2208(V-U)\u3002\u6761\u4ef6\u76f4\u65b9\u56fe\u7684\u8fd0\u7b97\uff0c\u662f\u8ba1\u7b97W\u4e2d\u7684\u53d8\u91cf\u5728\u7279\u5b9a\u7684bin\u8303\u56f4\u4e0b\u5728U\u4e2d\u7684\u5206\u5e03\u3002<\/p>\n

    \n
  1. \u8ba1\u7b97\u6761\u4ef6\u76f4\u65b9\u56fe<\/strong><\/li>\n<\/ol>\n

    \u5f53\u7528\u6237\u8981\u7814\u7a76\u4e00\u7ec4\u53d8\u91cfU\u548c\u53e6\u4e00\u7ec4\u53d8\u91cfW\u4e4b\u95f4\u7684\u5173\u7cfb\u65f6\uff0c\u6761\u4ef6\u76f4\u65b9\u56fe\u662f\u975e\u5e38\u6709\u7528\u7684\u3002\u8ba1\u7b97\u6761\u4ef6\u76f4\u65b9\u56fe\u7684\u7b2c\u4e00\u6b65\u662f\u4e3aw\u4e2d\u7684\u53d8\u91cf\u9009\u62e9\u5c5e\u4e8e\u7279\u5b9abin\u8303\u56f4\u7684\u6240\u6709\u6761\u76ee\u3002\u5bf9\u4e8e\u6b64\u9009\u62e9\u6b65\u9aa4\uff0c\u6211\u4eec\u9700\u8981\u5bf9w\u4e2d\u7684\u53d8\u91cf\u8fdb\u884c\u89e3\u7801\uff0c\u4ee5\u83b7\u5f97\u5176\u539f\u59cbbin\u7d22\u5f15\u3002\u7136\u540e\uff0c\u5bf9\u4e8e\u6bcf\u4e2a\u9009\u5b9a\u7684\u6761\u76ee\uff0c\u4f7f\u7528\u4f4d\u63a9\u7801\u6267\u884c\u903b\u8f91\u4e0e\u64cd\u4f5c\uff0c\u4ee5\u5c06\u4e0eU\u4e2d\u7684\u53d8\u91cf\u4e0d\u5bf9\u5e94\u7684\u6240\u6709\u4f4d\u8bbe\u7f6e\u4e3a0\u3002\u901a\u8fc7\u5bf9\u5177\u6709\u76f8\u540c\u7d22\u5f15\u7684\u6761\u76ee\u7684\u9891\u7387\u6c42\u548c\u6765\u8ba1\u7b97\u6700\u7ec8\u7ed3\u679c\u3002<\/p>\n

    \u4e5f\u662f\u8ba9\u6211\u4eec\u770b\u4e00\u4e2a\u5177\u4f53\u7684\u4f8b\u5b50\uff1a\u6709\u4e00\u4e2a\u5177\u4f53\u76844\u7ef4\u76f4\u65b9\u56fe\uff0c\u5305\u542bA\uff0cB\uff0cC\uff0cD\uff0c\u56db\u4e2a\u53d8\u91cf\uff0c\u6bcf\u4e2a\u53d8\u91cf\u670916\u4e2abin\u3002\u5176\u5b57\u5178\u8868\u5982\u56fe7(1)\u6240\u793a\u3002\u5047\u8bbeU\u5305\u542b\u4e24\u4e2a\u53d8\u91cfB\u548cC\uff0cW\u5305\u542b\u4e24\u4e2a\u53d8\u91cfA\u548cD\u3002A\u7684\u6570\u503c\u8303\u56f4\u662f(minA<\/sub>, maxA<\/sub>)\uff0cD\u7684\u6570\u503c\u8303\u56f4\u662f(minD<\/sub>, maxD<\/sub>)\uff0c\u8fd9\u6761\u4ef6\u76f4\u65b9\u56fe\u7684\u67e5\u8be2\u64cd\u4f5c\u5b9a\u4e49\u4e3a\uff1a<\/p>\n

    P(bin(B)=b, bin(C)=c |\u00a0 minA<\/sub>\u00a0\u00a0\u2264\u00a0<\/span>bin(A)\u00a0\u2264 maxA<\/sub>\u00a0,\u00a0minD<\/sub>\u00a0 \u2264 bin(D) \u2264 maxD<\/sub>\u00a0<\/span>) =\u00a0 \u2211a=minA<\/sub>\u2211d=minD<\/sub>\u00a0P(bin(A)=a, bin(B)=b, bin(C)=c, bin(D)=d)<\/p>\n

    <\/p>\n

    \u56fe7\uff0c\u6761\u4ef6\u76f4\u65b9\u56fe\u7684\u8fd0\u7b97\u793a\u4f8b<\/p>\n<\/blockquote>\n

    \u73b0\u5728\u8981\u6c42\u67e5\u8be2\u00a0P<\/span>(<\/span>A<\/span>|<\/span>11\u00a0<\/span>\u2264\u00a0<\/span>bin<\/span>(<\/span>C<\/span>)\u00a0<\/span>\u2264\u00a0<\/span>15<\/span>)<\/span>\u00a0\u3002\u6211\u4eec\u9996\u5148\u5c06C\u7684bin\u7d22\u5f15\u89e3\u7801\uff0c\u83b7\u5f97\u539f\u59cb\u7684bin\u7d22\u5f15\uff0c\u7136\u540e\u9009\u5b9a11\u00a0<\/span>\u2264\u00a0<\/span>bin<\/span>(<\/span>C<\/span>)\u00a0<\/span>\u2264\u00a0<\/span>15\u8303\u56f4\u5185\u7684\u9891\u7387\uff0c\u5982\u56fe7(2)\u7eff\u8272\u90e8\u5206\u6240\u793a\u3002\u63a5\u4e0b\u6765\u8bbe\u7f6e\u63a9\u7801\uff0c\u63a9\u7801\u53ea\u6709\u8981\u67e5\u8be2\u7684A\u53d8\u91cf\u7d22\u5f15\u4f4d\u662f1\uff0c\u5176\u4ed6\u4e0d\u67e5\u8be2\u7684\u53d8\u91cf\u5bf9\u5e94\u7684\u7d22\u5f15\u4f4d\u90fd\u662f0\uff0c\u5982\u56fe7(3)\u6240\u793a\u3002\u63a5\u4e0b\u6765\u5c06\u56fe7(2)\u9009\u5b9a\u7684\u7eff\u8272\u9879\u4e0e\u63a9\u7801\u6309\u4f4d\u4e0e\uff0c\u5e76\u5c06\u76f8\u540cbin\u7d22\u5f15\u7684\u9891\u7387\u6c42\u548c\u3002\u6700\u540e\u5f97\u5230\u7684\u6761\u4ef6\u76f4\u65b9\u56fe\u7684\u5b57\u5178\u8868\uff0c\u5982\u56fe7(5)\u6240\u793a\u3002\u5728\u6570\u636e\u7a7a\u95f4\u8f6c\u6362\u5b8c\u6bd5\u540e\uff0c\u6bcf\u4e2a\u53d8\u91cf\u67094\u4e2abin\u3002<\/span><\/p>\n

    2.<\/span>\u4f9d\u636e\u6761\u4ef6\u76f4\u65b9\u56fe\u8ba1\u7b97\u6761\u4ef6\u71b5<\/strong><\/p>\n

    \u7ed9\u5b9an\u4e2a\u53d8\u91cf\u7684\u53d8\u91cf\u96c6V=V0<\/sub>\uff0cV1<\/sub>\uff0c\u2026\uff0cVn-1<\/sub>\uff0cV\u6709\u4e00\u4e2a\u5b50\u96c6U\u00a0\u2282\u00a0<\/span>V\uff0c<\/span>\u00a0\u548c\u53e6\u4e00\u4e2a\u5b50\u96c6W\u2208(V-U)\u3002\u5047\u8bbe\u6211\u4eec\u5df2\u7ecf\u8ba1\u7b97\u51fa\u4e86P(U|W)\u7684\u6761\u4ef6\u76f4\u65b9\u56fe\uff0c\u5176\u5b57\u5178\u8868\u8bb0\u505aD(U|W)\u3002\u63a5\u4e0b\u6765\u8ba1\u7b97\u6761\u4ef6\u71b5H(U|W)\u3002\u5b83\u8868\u793a\u5728\u7279\u5b9a\u503c\u7684\u8303\u56f4\u5185\uff0c\u7ed9\u5b9aW\u4e2d\u7684\u53d8\u91cf\uff0cU\u7684\u4e0d\u786e\u5b9a\u6027\u3002\u6761\u4ef6\u71b5H(U|W)\u7684\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n

    H(U|W) = –\u00a0\u2211 p(V) log (p(U|W))<\/p>\n

    \u5176\u4e2dp(V)\u4ee3\u8868\u53d8\u91cf\u96c6V\u7684\u4e2d\u5168\u90e8\u53d8\u91cf\u6784\u6210\u7684\u6982\u7387\u5206\u5e03\u3002\u663e\u7136V\u7684\u591a\u53d8\u91cf\u8054\u5408\u76f4\u65b9\u56fe\u7684\u5b57\u5178\u8868D(V)\u5df2\u7ecf\u4fdd\u5b58\u4e86\u5168\u90e8\u975e\u96f6\u7684p(V), \u5c06\u5176\u4e2d\u6bcf\u4e00\u9879D(V)j<\/span>\u00a0\u53d6\u51fa\u4f5c\u4e3ap(V)\u4f7f\u7528\u5373\u53ef\u3002p(U|W)\u4ee3\u8868\u7684\u6761\u4ef6\u6982\u7387\u5206\u5e03\uff0c\u5219\u4fdd\u5b58\u5728\u5df2\u7ecf\u8ba1\u7b97\u597d\u7684P(U|W)\u7684\u6761\u4ef6\u76f4\u65b9\u56fe\u4e2d\uff0c\u5c06\u5176\u4e2d\u6bcf\u4e00\u9879D(U|W)j<\/span>\u53d6\u51fa\u5373\u53ef\u3002<\/p>\n

    \u6700\u7ec8H(U|W)\u00a0 =\u00a0\u00a0 –\u00a0\u2211j<\/sub>\u00a0D(V)j<\/span>\u00a0log (D(U|W)j<\/span>)\uff0c j\u2208[1, m], m\u4e3a\u5b57\u5178\u8868D(V)\u7684\u957f\u5ea6\uff0c\u4e5f\u662f\u5b57\u5178\u8868D(U|W)\u7684\u957f\u5ea6<\/p>\n

    \u4e09\u3001\u8ba1\u7b97\u4fe1\u606f\u589e\u76ca<\/h2>\n

    \u5df2\u7ecf\u80fd\u8ba1\u7b97\u8054\u5408\u71b5\u548c\u6761\u4ef6\u71b5\u7684\u60c5\u51b5\u4e0b\uff0c\u8ba1\u7b97\u4fe1\u606f\u589e\u76ca\u5c31\u6c34\u5230\u6e20\u6210\u4e86\u3002<\/p>\n

    \u7ed9\u5b9a\u5305\u542bn\u4e2a\u79bb\u6563\u578b\u968f\u673a\u53d8\u91cf\u7684\u53d8\u91cf\u96c6V=V0<\/sub>\uff0cV1<\/sub>\uff0c\u2026\uff0cVn-1<\/sub>\uff0c\u5176\u4e2d\u4e00\u4e2a\u53d8\u91cfVi\u00a0<\/sub>\u7684\u4fe1\u606f\u589e\u76caIG(Vi\u00a0<\/sub>)\u7b49\u4e8e\uff1a<\/p>\n

    IG(Vi\u00a0<\/sub>) =\u00a0H(V1<\/sub>, \u2026 , Vn<\/sub>) –\u00a0H(V1<\/sub>, \u2026 , Vn<\/sub> | Vi\u00a0<\/sub>)<\/p>\n

    =\u00a0 -\u2211j<\/sub> D(V)j<\/sub> * log(D(V)j<\/sub>) – [-\u00a0 \u2211j<\/sub>\u00a0D(V)j<\/span>\u00a0log (D(U|W)j<\/span>)]\uff0c<\/p>\n

    = –\u00a0\u2211j<\/sub>\u00a0D(V)j<\/sub>\u00a0[log(D(V)j<\/sub>)\u00a0 –\u00a0\u00a0log (D(U|W)j<\/span>],\u00a0 \u5176\u4e2dW=Vi, U\u2208(V-W)<\/p>\n

    \u56db\u3001\u5b50\u591a\u7ef4\u76f4\u65b9\u56fe\u8ba1\u7b97<\/h2>\n

    \u73b0\u5728\u8981\u6c42\u4ece\u4e00\u4e2a\u5927\u7684\u591a\u7ef4\u76f4\u65b9\u56fe\u4e2d\uff0c\u6709\u6548\u5730\u8fc7\u6ee4\u51fa\u6240\u9009\u53d8\u91cf\u9650\u5b9a\u8303\u56f4\u7684\u5b50\u591a\u7ef4\u76f4\u65b9\u56fe\u3002\u4f8b\u5982\uff1a<\/p>\n

    P<\/span>(<\/span>200 <\/span>\u2264 <\/span>bin<\/span>(<\/span>A<\/span>) <\/span>\u2264 <\/span>255<\/span>,<\/span>0 <\/span>\u2264 <\/span>bin<\/span>(<\/span>B<\/span>) <\/span>\u2264 <\/span>50<\/span>) <\/span>><\/span>70%. <\/span><\/p>\n

    \u5728\u8fd9\u4e2a\u67e5\u8be2\u4e2d\uff0c\u6211\u4eec\u8981\u67e5\u8be2\u53d8\u91cfA\u5c5e\u4e8ebin 200\u5230255\uff0c\u53d8\u91cfB\u5c5e\u4e8ebin 0\u523050\u7684\u6982\u7387\u5927\u4e8e70%\u7684\u6570\u636e\u9879\u3002\u4f7f\u7528\u5b57\u5178\u8868\uff0c\u53ef\u4ee5\u53d1\u73b0\u8fd9\u4e2a\u5de5\u4f5c\u4f9d\u7136\u5f88\u5bb9\u6613\uff1a\u53ea\u8981\u5c06\u8981\u67e5\u8be2\u7684\u53d8\u91cfA\u548cBbin\u7d22\u5f15\u89e3\u7801\u540e\uff0c\u53d6A\u5c5e\u4e8ebin 200\u5230255\uff0c\u53d8\u91cfB\u5c5e\u4e8ebin 0\u523050\u7684\u6570\u636e\u9879\uff0c\u7136\u540e\u518d\u53d6\u9891\u7387\u5927\u4e8e70%\u7684\u5373\u53ef\u3002<\/p>\n

    \u4e94\u3001\u7528\u76f4\u65b9\u56fe\u8ba1\u7b97\u4f17\u6570\u3001\u5e73\u5747\u6570\u3001\u4e2d\u4f4d\u6570\u3001\u65b9\u5dee<\/h2>\n

    \u8bbe\u6709\u4e00\u4e2a\u79bb\u6563\u578b\u968f\u673a\u53d8\u91cfX\uff0c\u5176\u6837\u672c\u96c6\u5171\u5305\u542bn\u4e2a\u6837\u672cx1<\/sub>,x2,\u00a0<\/sub>…, xn-1<\/sub>\uff0c\u5e76\u4e14\u5df2\u7ecf\u753b\u51fa\u4e86X\u7684\u76f4\u65b9\u56fe\uff0cbin\u7684\u7684\u5c3a\u5bf8\u4e3ah\uff0c\u603b\u4e2a\u6570\u4e3ak\u3002\u76f4\u65b9\u56fe\u5b57\u5178\u8868\u8bb0\u505aD(X)j<\/sub>\uff0c\u76f4\u65b9\u56fe\u4e2d\u975e\u7a7a\u7684bin\u603b\u4e2a\u6570=\u5b57\u5178\u8868\u7684\u957f\u5ea6=j\u3002 D(X)j<\/sub>\u4e2d\u4fdd\u5b58\u7684\u662f\u952e\u503c\u5bf9bin[X] \uff1af(X)\u3002bin[X]\u662f\u4fdd\u5b58\u76f4\u65b9\u56fe\u7684\u4e00\u7ef4\u6570\u7ec4\u7684\u975e\u7a7a\u6761\u76ee\u4e0b\u6807\uff0c\u4ece0\u5f00\u59cb\uff0c\u5230j-1\u4e3a\u6b62\u3002f(X)\u662fbin[X]\u5bf9\u5e94\u7684\u9891\u7387\u3002\u76f4\u63a5\u8c03\u7528D(X)i\uff0c<\/sub>\u7b49\u4e8e\u53d6\u76f4\u65b9\u56fe\u7b2ci\u4e2a\u975e\u7a7a\u6761\u76ee\u5bf9\u5e94\u7684\u9891\u7387f(X)i<\/sub>\u7684\u503c\u3002\u90a3\u4e48\u5bf9\u5e94\u7684\u5e73\u5747\u6570\u3001\u4e2d\u4f4d\u6570\u3001\u4f17\u6570\u3001\u6807\u51c6\u5dee\u8ba1\u7b97\u5982\u4e0b\uff1a
    \n\u4f17\u6570\uff1a \u6307\u7684\u662f\u6837\u672c\u96c6\u4e2d\u51fa\u73b0\u6b21\u6570\u6700\u591a\u7684\u6837\u672c\u503c\u3002\u5bf9\u5e94\u4e8e\u76f4\u65b9\u56fe\u4e2d\u9891\u7387\u6700\u5927\u7684bin\u7684\u4e2d\u70b9\u503c\u3002\u8bbe\u76f4\u65b9\u56fe\u5b57\u5178\u8868\u4e2d\u9891\u7387\u6700\u9ad8\u9879\u4e3aD(X)max<\/sub>,\u5bf9\u5e94\u7684bin\u7d22\u5f15\u4e3abin[X]max<\/sub>\u3002\u5219\u4f17\u6570\u7b49\u4e8ebin[X]max<\/sub> * h + h\/2<\/p>\n

    \u5e73\u5747\u6570 = (x1<\/sub>+x2 <\/sub>+… +xn-1<\/sub>)\/n , \u5bf9\u5e94\u4e8e\u76f4\u65b9\u56fe\uff0c\u7b49\u4e8e\u76f4\u65b9\u56fe\u6bcf\u4e2abin\u9762\u79ef\u4e58\u4ee5bin\u4e2d\u70b9\u503c\u3002\u5373\u5e73\u5747\u6570 =\u2211j<\/sub> f(X)i<\/sub>* h * (bin[X]i\u00a0<\/span>* h + h\/2)<\/p>\n

    \u4e2d\u4f4d\u6570\uff1a\u4ee5\u540e\u518d\u8bf4<\/p>\n

    \u65b9\u5dee\uff1a\u4ee5\u540e\u518d\u8bf4<\/p>\n

    \u5bf9\u4e8e\u591a\u7ef4\u8054\u5408\u76f4\u65b9\u56fe\uff0c\u8981\u8ba1\u7b97\u5176\u4e2d\u67d0\u4e2a\u53d8\u91cf\u7684\u4f17\u6570\u3001\u5e73\u5747\u6570\u3001\u4e2d\u4f4d\u6570\u3001\u65b9\u5dee\uff0c\u5219\u9700\u8981\u5148\u8ba1\u7b97\u8be5\u53d8\u91cf\u5bf9\u5e94\u7684\u8fb9\u7f18\u76f4\u65b9\u56fe\uff08\u8be6\u89c1\u4e0a\u4e00\u7bc7\u968f\u7b143.1\u8282<\/a>\uff09\uff0c\u7136\u540e\u5c31\u53ef\u4ee5\u8ba1\u7b97\u4ee5\u4e0a\u7edf\u8ba1\u91cf\u3002<\/p>\n

     <\/p>\n

    \u63a8\u8350\u7f51\u7ad9\uff1a<\/p>\n

    Stackoverflow\u662f\u4e00\u4e2a\u7f16\u7a0b\u9886\u57df\u7684\u95ee\u7b54\u793e\u533a\uff0c\u5728\u5176\u4e4b\u4e0a\u8fd8\u6709\u4e00\u4e2a\u6bcd\u7ad9\uff0c\u53eb\u505a[StackExchange]\uff0c\u7ba1\u7406\u7740\u51e0\u5341\u4e2a\u5927\u5927\u5c0f\u5c0f\u7684\u95ee\u7b54\u793e\u533a\uff08\u53c2\u89c1[\u8fd9\u91cc](All Sites – Stack Exchange<\/a>)\uff09\uff0cStackoverflow\u662f\u5176\u4e2d\u6210\u7acb\u6700\u65e9\u3001\u89c4\u6a21\u6700\u5927\u7684\u4e00\u4e2a\u5b50\u7ad9\uff0c\u5176\u4ed6\u7684\u6240\u6709\u5b50\u7ad9\u5728\u5f62\u5f0f\u4e0a\u90fd\u4e0eStackoverflow\u4fdd\u6301\u4e00\u81f4\uff0c\u5b83\u4eec\u7684\u4e3b\u9898\u5404\u5f02\uff0c\u6bd4\u5982\u8fd9\u4e2aMathematics Stack Exchange \u5b50\u7ad9\uff0c\u5c31\u53ef\u4ee5\u95ee\u95ee\u6570\u5b66\u95ee\u9898\u3002<\/p>\n

    https:\/\/math.stackexchange.com\/search?q=conditional+entropy<\/p>\n

    \u53c2\u8003\u6587\u732e\uff1a<\/p>\n

    [1].\u00a0\u00a0 Lu, K. and H.W. Shen. A compact multivariate histogram representation for query-driven visualization. 2015.<\/p>\n

     <\/p>\n","protected":false},"excerpt":{"rendered":"

    \u4e0a\u8282\u6211\u4eec\u8ba8\u8bba\u4e86\u591a\u7ef4\u76f4\u65b9\u56fe\u7684\u591a\u7ef4\u6570\u7ec4\u538b\u7f29\u5b58<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[70,130],"class_list":["post-2044","post","type-post","status-publish","format-standard","hentry","category-data-visualization","tag-70","tag-130"],"_links":{"self":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/posts\/2044","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/comments?post=2044"}],"version-history":[{"count":0,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/posts\/2044\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/media?parent=2044"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/categories?post=2044"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.divis.cn\/index.php\/wp-json\/wp\/v2\/tags?post=2044"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}