{"id":2233,"date":"2016-10-09T22:47:28","date_gmt":"2016-10-09T14:47:28","guid":{"rendered":"http:\/\/boweihe.me\/?p=2233"},"modified":"2016-10-09T22:47:28","modified_gmt":"2016-10-09T14:47:28","slug":"information-cell-mixture-models-%e8%af%ad%e4%b9%89%e7%bb%86%e8%83%9e%e6%b7%b7%e5%90%88%e6%a8%a1%e5%9e%8b","status":"publish","type":"post","link":"https:\/\/dayandcarrot.space\/?p=2233","title":{"rendered":"Information Cell Mixture Models \u8bed\u4e49\u7ec6\u80de\u6df7\u5408\u6a21\u578b"},"content":{"rendered":"

\u8bed\u4e49\u7ec6\u80de\u6df7\u5408\u6a21\u578b\u662f\u7528\u4e8e\u8868\u793a\u6a21\u7cca\u6982\u5ff5\u7684\u4e00\u79cd\u6a21\u578b\uff0c\u6211\u4e2a\u4eba\u7684\u7406\u89e3\u561b\uff0c\u662f\u4e00\u79cd\u4ecb\u4e8ek-means\u4e0eGMM\u4e4b\u95f4\u7684\u4e00\u4e2a\u6a21\u578b\u3002\u5177\u4f53\u8bba\u6587\u53ef\u4ee5\u770b<\/p>\n

Tang, Yongchuan, and Jonathan Lawry. “Information cells and information cell mixture models for concept modelling.” Annals of Operations Research<\/i>195.1 (2012): 311-323.<\/p><\/blockquote>\n

\u4e0b\u9762\u505a\u4e00\u4e9b\u7b80\u8981\u4ecb\u7ecd\u3002<\/p>\n

\u57fa\u672c\u6982\u5ff5\u53ca\u5047\u8bbe<\/h3>\n

\u4e00\u4e2a\u8bed\u4e49\u7ec6\u80de\u6df7\u5408\u6a21\u578b(Information Cell Mixture Model, ICMM)\u662f\u7531\u4e00\u7ec4\u8bed\u4e49\u7ec6\u80de[latex]L_i[\/latex]\u6784\u6210\u7684\uff0c\u6bcf\u4e2a\u8bed\u4e49\u7ec6\u80de\u4f7f\u7528\u4e09\u5143\u7ec4[latex]<P_i, d_i, \\delta_i>[\/latex]\u8868\u793a\uff0c\u8fd9\u4e09\u4e2a\u7b26\u53f7\u5206\u522b\u8868\u793a\u539f\u578b\uff0c\u8ddd\u79bb\u51fd\u6570\u4ee5\u53ca\u5bc6\u5ea6\u51fd\u6570\u3002\u5176\u4e2d\u539f\u578b\u7684\u6982\u5ff5\u7c7b\u4f3c\u4e8ek-means\u4e2d\u7684\u805a\u7c7b\u4e2d\u5fc3\uff0c\u800c\u8ddd\u79bb\u3001\u5bc6\u5ea6\u523b\u753b\u4e86\u8fd9\u4e2a\u805a\u7c7b\u4e2d\u5fc3\u7684\u201c\u52bf\u529b\u8303\u56f4\u201d\u3002\u4e0b\u56fe\u5c31\u662f\u4e00\u4e2a\u4f8b\u5b50\uff0c\u8fd9\u4e2aICMM\u91cc\u9762\u6709\u4e24\u4e2a\u8bed\u4e49\u7ec6\u80de\u3002
\n\"%e5%b1%8f%e5%b9%95%e5%bf%ab%e7%85%a7-2016-10-09-%e4%b8%8b%e5%8d%8810-48-58\"<\/a><\/p>\n

ICMM\u7684\u6982\u7387\u5bc6\u5ea6<\/h4>\n

\u5047\u8bbe\u4e00\u4e2aICMM\u7531[latex]n[\/latex]\u4e2a\u8bed\u4e49\u7ec6\u80de\u6784\u6210\uff0c\u5219\u53ef\u4ee5\u6839\u636e\u6bcf\u4e2a\u8bed\u4e49\u7ec6\u80de\u81ea\u8eab\u7684\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u53ca\u8fd9\u4e2a\u7ec6\u80de\u7684\u6743\u91cd\u6765\u754c\u5b9a\u6574\u4e2aICMM\u7684\u5bc6\u5ea6\u51fd\u6570\u5982\u4e0b
\n[latex]\\delta_{ICMM}(X)=\\sum_{i=1}^{n} \\delta_i (X) Pr(L_i)[\/latex]
\n\u800c\u6bcf\u4e2a\u8bed\u4e49\u7ec6\u80de\u81ea\u8eab\u7684\u5bc6\u5ea6\u51fd\u6570\uff0c\u7531\u4e00\u4e2a\u6307\u5b9a\u7684\u8ddd\u79bb\u51fd\u6570\uff08\u6587\u4e2d\u7528\u6b27\u6c0f\u8ddd\u79bb\uff09\u548c\u4e00\u4e2a\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\uff08\u6587\u4e2d\u7528\u9ad8\u65af\u5bc6\u5ea6\u51fd\u6570\uff09\u4e00\u8d77\u754c\u5b9a\uff0c\u5373
\n[latex]\\delta_{L_i}(X) = \\delta_{i}(d_i(X,P_i)) [\/latex]\u8868\u793a\u5230X\u4e0e\u539f\u578b\u7684”\u8ddd\u79bb”\u5bc6\u5ea6\uff0c\u800c[latex]\\delta[\/latex]\u662f\u4e00\u4e2a\u9ad8\u65af\u5bc6\u5ea6\u51fd\u6570[latex]\\delta(\\epsilon|c_i, \\sigma_i)[\/latex].
\n\u4e0a\u9762\u8fd9\u5806\u90fd\u662f\u5bc6\u5ea6\u51fd\u6570\uff0c\u6700\u540e\u7b97\u51fa\u6765\u662f\u4e2a\u8ddd\u79bb\uff08\u4e5f\u53ef\u4ee5\u79f0\u4e4b\u4e3a\u76f8\u4f3c\u5ea6\uff09\u7684\u5bc6\u5ea6\uff0c\u90a3\u5982\u679c\u8981\u6c42\u771f\u6b63\u70b9X\u5230ICMM\u7684\u201c\u8ddd\u79bb\u201d\uff0c\u5c31\u9700\u8981\u6c42\u5bc6\u5ea6\u51fd\u6570\u5728[latex][d(X, P_i), +\\infty)[\/latex]\u8303\u56f4\u7684\u79ef\u5206\u4e86\u3002<\/p>\n

\u76ee\u6807\u51fd\u6570<\/h3>\n

\u8ddf\u5176\u4ed6\u7684\u751f\u6210\u6a21\u578b\u7c7b\u4f3c\uff0c\u5c31\u662f\u6700\u5927\u4f3c\u7136\u4f30\u8ba1\uff0c\u76ee\u6807\u51fd\u6570\u4e5f\u5c31\u53d8\u6210\u4e86\u6574\u4e2a(\u5bf9\u6570)\u671f\u671b\u6700\u5927\u5316\u4e86\u3002
\n[latex]maximize J(ICMM) = ln \\delta_{ICMM}(DB)=\\sum_{k=1}^{N}(ln \\delta_{ICMM}(X_k))[\/latex]
\n[latex]= \\sum_{k=1}^{N} ln (\\sum_{i=1}^{n}(\\delta(\\epsilon_{ik}|c_i, \\sigma_i)Pr(L_i))[\/latex]
\n\u5176\u4e2dDB\u8868\u793a\u6570\u636e\u96c6\uff0ck\u662f\u8bad\u7ec3\u96c6\u7684\u6837\u672c\uff0ci\u662f\u7b2ci\u4e2a\u8bed\u4e49\u7ec6\u80de\u3002
\n\u4f46\u662f\u4e0a\u9762\u8fd9\u4e2a\u5bf9\u6570\u4f3c\u7136\u51fd\u6570\u5f88\u96be\u4f18\u5316\uff0c\u56e0\u6b64\u5f15\u5165\u4e00\u4e2a\u9690\u542b\u53d8\u91cf[latex]z_{ik}\\in {0,1} [\/latex]\u5e76\u4e14\u6709[latex]\\sum_{i=1}^{n} z_{ik} = 1[\/latex]\uff0c\u5b83\u8868\u793a\u7531\u67d0\u4e00\u4e2a\u8bed\u4e49\u7ec6\u80de\u201c\u751f\u6210\u201d\u4e86\u6574\u4e2aICMM\u3002<\/p>\n

\u53c2\u6570\u66f4\u65b0<\/h3>\n

\u8bed\u4e49\u7ec6\u80de\u7684\u6982\u7387\u5206\u5e03\u66f4\u65b0<\/h4>\n

\u5f15\u5165\u4e86\u9690\u53d8\u91cf\uff0c\u5f88\u5bb9\u6613\u60f3\u5230\u7528EM\u6765\u66f4\u65b0\u53c2\u6570… EM\u5c31\u662f\u4e24\u4e2a\u6b65\u9aa4\uff1a1.\u5229\u7528\u73b0\u6709\u7684\u53c2\u6570\u53bb\u66f4\u65b0\u9690\u53d8\u91cf\uff1b2.\u5229\u7528\u9690\u53d8\u91cf\u6765\u66f4\u65b0\u53c2\u6570
\n\u5728\u6211\u4eec\u7684\u95ee\u9898\u4e2d\uff0c\u7528\u9690\u53d8\u91cf[latex]z_{ik}[\/latex]\u7684\u6700\u5927\u4f3c\u7136\u4f30\u8ba1\u6765\u66f4\u65b0\uff0c\u5373[latex]q_{ik}=E(z_{ik}|ICMM) = \\frac{\\delta(\\epsilon_{ik}|c_i, \\sigma_i)Pr(L_i)}{\\sum_{i=1}^{n}\\delta(\\epsilon_{ik}|c_i, \\sigma_i)Pr(L_i)}[\/latex]
\n\u8fd9\u91cc\u7684\u53c2\u6570c, sigma, Pr, L\u5168\u90fd\u662f\u6709hat\u7684hypothesis\u503c\uff0c\u9119\u4eba\u4e0d\u719f\u6089latex\uff0c\u6ca1\u6709\u52a0\u4e0a\u3002
\n\u7136\u540e\uff0c\u4e4b\u524d\u7684\u90a3\u4e2a\u76ee\u6807\u51fd\u6570\u5c31\u8f6c\u53d8\u4e3a\u4e86
\n[latex]Q(.)=\\sum_{k=1}^{N}\\sum_{i=1}^{n}q_{ik}ln(\\delta(\\epsilon_{ik}|c_i, \\sigma_i)Pr(L_i))[\/latex]
\n\u8fd9\u662f\u4e00\u4e2a\u5e26\u6709\u7ea6\u675f\u6761\u4ef6(Pr\u6743\u91cd\u52a0\u8d77\u6765=1)\u6700\u4f18\u5316\u76ee\u6807\u51fd\u6570\uff0c\u6240\u4ee5\u5f15\u5165Lagrange\u4e58\u5b50[latex]\\lambda[\/latex]\u6765\u8fdb\u884c\u53d8\u6362\u3002\u53d8\u6362\u540e\u7684\u76ee\u6807\u51fd\u6570\u6c42\u6700\u503c\u7684\u95ee\u9898\uff0c\u5c31\u53ef\u4ee5\u8f6c\u5316\u4e3a\u504f\u5bfc\u6570=0\u7684\u95ee\u9898\u4e86\u3002<\/p>\n

\u66f4\u65b0\u8bed\u4e49\u7ec6\u80de\u7684\u6982\u7387\u5bc6\u5ea6<\/h4>\n

\u6ca1\u9519\uff0c\u53c8\u662f\u201c\u9000\u800c\u6c42\u5176\u6b21\u201d\u3002\u4e0a\u9762\u5199\u7684\u90a3\u4e2a\u76ee\u6807Q\uff0c\u5c55\u5f00\u6765\u662f\u6709\u4e00\u4e2a\u9ad8\u65af\u5206\u5e03\u51fd\u6570\u9879\u7684\uff08\u89c1\u539f\u6587\u516c\u5f0f9\uff09\uff0c\u8fd9\u6837\u5bf9Q\u6700\u4f18\u5316\u53c8\u6709\u96be\u5ea6\u4e86\u3002\u4f5c\u8005\u9000\u4e86\u4e00\u6b65\uff0c\uff0c\u56e0\u4e3a\u9ad8\u65af\u5206\u5e03\u662f\u4e2a[0,1]\u7684\u503c\uff0c\u5b83\u7684ln\u662f\u8d1f\u6570\uff0c\u56e0\u6b64\u628a\u8fd9\u4e00\u9879[latex]-ln(…)[\/latex]\u53bb\u6389\uff0c\u76f8\u5f53\u4e8e\u52a0\u4e0a\u4e86\u4e00\u4e2a\u8d1f\u6570\u503c\u7684[latex]-ln(…)[\/latex].
\n\u5047\u8bbe\u8fd9\u4e2a\u7cbe\u7b80\u7248\u7684\u4f18\u5316\u76ee\u6807\u51fd\u6570\u53ebU\uff0c\u663e\u7136\u5c31\u6709[latex]U<=Q[\/latex]\uff0c\u76f8\u5f53\u4e8eU\u5c31\u662f\u4e2alower-bound
\n\u90a3\u5982\u679c\u80fd\u4e0d\u65ad\u63d0\u9ad8U\u7684\u8bdd\uff0c\u539f\u6709\u7684\u76ee\u6807\u51fd\u6570\u4e5f\u80fd\u5f97\u5230\u4f18\u5316\u3002\u8fd8\u662f\u7c7b\u4f3c\uff0c\u6c42\u6700\u503c=\u504f\u5bfc\u6570\u4e3a0\uff0c\u5728\u672c\u6587\u4e2d\u5c31\u662f[latex]\\frac{\\partial U}{\\partial c_i} = 0[\/latex]\u4ee5\u53ca[latex]\\frac{\\partial U}{\\partial \\sigma_i} = 0[\/latex]
\n\u89e3\u51fa\u6765\u662f\u8fd9\u4e48\u4e24\u5768\uff1a
\n\"%e5%b1%8f%e5%b9%95%e5%bf%ab%e7%85%a7-2016-10-09-%e4%b8%8b%e5%8d%8811-48-39\"<\/a><\/p>\n

\u53c2\u6570\u66f4\u65b0\u7b97\u6cd5<\/h4>\n

\u7ec8\u4e8e..\u53ef\u4ee5\u66f4\u65b0\u53c2\u6570\u4e86\uff0c\u5177\u4f53\u7b97\u6cd5\u5982\u4e0b<\/p>\n

    \n
  1. \u5229\u7528k-means\u7b97\u6cd5\u627e\u51fak\u4e2a\u8bed\u4e49\u7ec6\u80de\u7684\u539f\u578b\uff0c\u521d\u59cb\u5316\u6bcf\u4e2a\u8bed\u4e49\u7ec6\u80de\u7684\u6743\u91cd[latex]Pr(L_i)=1\/n[\/latex]\uff1b<\/li>\n
  2. \u8ba1\u7b97\u8bad\u7ec3\u96c6\u5230\u5f53\u524d\u539f\u578b\u7684\u8ddd\u79bb[latex]\\epsilon_{ik}=d(X_k, P_i)[\/latex]\uff0c\u8fd9\u91cc\u7528\u7684\u662f\u6b27\u6c0f\u8ddd\u79bb\uff1b<\/li>\n
  3. \u521d\u59cb\u5316\u8ddd\u79bb\u5bc6\u5ea6\u51fd\u6570\u7684\u53c2\u6570\"%e5%b1%8f%e5%b9%95%e5%bf%ab%e7%85%a7-2016-10-09-%e4%b8%8b%e5%8d%8811-52-42\"<\/a><\/li>\n
  4. \u8ba1\u7b97\u7b2c\u4e00\u8f6e\u7684\u9690\u53d8\u91cf\"%e5%b1%8f%e5%b9%95%e5%bf%ab%e7%85%a7-2016-10-09-%e4%b8%8b%e5%8d%8811-53-24\"<\/a>\uff1b<\/li>\n
  5. \u8fed\u4ee3\u66f4\u65b0(EM)\uff0c\u76f4\u5230\u76ee\u6807\u51fd\u6570J\u6536\u655b\n
      \n
    1. \u66f4\u65b0\u6743\u91cd\u53c2\u6570\"%e5%b1%8f%e5%b9%95%e5%bf%ab%e7%85%a7-2016-10-09-%e4%b8%8b%e5%8d%8811-55-40\"<\/a>\uff1b<\/li>\n
    2. \u66f4\u65b0\u5bc6\u5ea6\u51fd\u6570\u7684\u4e24\u4e2a\u53c2\u6570\"%e5%b1%8f%e5%b9%95%e5%bf%ab%e7%85%a7-2016-10-09-%e4%b8%8b%e5%8d%8811-56-24\"<\/a><\/li>\n
    3. \u5229\u7528\u66f4\u65b0\u540e\u7684\u53c2\u6570\uff0c\u91cd\u65b0\u8ba1\u7b97\u9690\u53d8\u91cf(\u7684MLE)\"%e5%b1%8f%e5%b9%95%e5%bf%ab%e7%85%a7-2016-10-09-%e4%b8%8b%e5%8d%8811-57-57\"<\/a><\/li>\n
    4. \u8ba1\u7b97\u76ee\u6807\u51fd\u6570J<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

      GMM\u4e0eICMM<\/h3>\n

      GMM\u4e0eICMM\u957f\u5f97\u6bd4\u8f83\u50cf\uff0c\u6211\u89c9\u5f97ICMM\u7b97\u662fGMM\u7684\u4e00\u4e2a\u7b80\u5316\u7248\u672c\u3002GMM\u6c42\u7684\u662f\u6bcf\u4e2a\u6837\u4f8b\u505a\u9ad8\u65af\u5206\u5e03\u7684\u53c2\u6570\uff0c\u800cICMM\u4e8b\u5148\u5c31\u5047\u5b9a\u597d\u4e86\u6709k\u4e2a\u201c\u539f\u578b\u201d\uff0c\u5148\u505a\u4e86\u4e00\u8f6ek-means\u56fa\u5b9a\u4e0b\u4e86\u539f\u578b\uff0c\u518d\u6765\u505a\u5bc6\u5ea6\u51fd\u6570\u7684\u53c2\u6570\u66f4\u65b0\u3002\u5047\u8bbe\u6709N\u4e2asample\uff0cGMM\u5c31\u76f8\u5f53\u4e8e\u662fk=N\u7684ICMM\u3002\u56e0\u6b64\u4ece\u8ba1\u7b97\u590d\u6742\u5ea6\u4e0a\u6765\u8bf4\uff0cICMM\u6bd4GMM\u7b80\u5355\uff0c\u5f53\u7136\u4e86ICMM\u80fd\u8868\u793a\u7684\u6a21\u578b\u590d\u6742\u5ea6\u8fd8\u9700\u8981\u8c03\u53c2(k)\u624d\u80fd\u8fdb\u4e00\u6b65\u4f18\u5316\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

      \u8bed\u4e49\u7ec6\u80de\u6df7\u5408\u6a21\u578b\u662f\u7528\u4e8e\u8868\u793a\u6a21\u7cca\u6982\u5ff5\u7684\u4e00\u79cd\u6a21\u578b\uff0c\u6211\u4e2a\u4eba\u7684\u7406\u89e3\u561b\uff0c\u662f\u4e00\u79cd\u4ecb\u4e8ek-means\u4e0eGMM\u4e4b\u95f4\u7684\u4e00\u4e2a\u6a21\u578b\u3002\u5177\u4f53\u8bba\u6587\u53ef\u4ee5\u770b Tang, Yongchuan, and Jonathan Lawry. “Information cells and information cell mixture models for concept modelling.” Annals of Operations Research195.1 (2012): 311-323. \u4e0b\u9762\u505a\u4e00\u4e9b\u7b80\u8981\u4ecb\u7ecd\u3002 \u57fa\u672c\u6982\u5ff5\u53ca\u5047\u8bbe \u4e00\u4e2a\u8bed\u4e49\u7ec6\u80de\u6df7\u5408\u6a21\u578b(Information Cell Mixture Model, ICMM)\u662f\u7531\u4e00\u7ec4\u8bed\u4e49\u7ec6\u80de[latex]L_i[\/latex]\u6784\u6210\u7684\uff0c\u6bcf\u4e2a\u8bed\u4e49\u7ec6\u80de\u4f7f\u7528\u4e09\u5143\u7ec4[latex]<P_i, d_i, \\delta_i>[\/latex]\u8868\u793a\uff0c\u8fd9\u4e09\u4e2a\u7b26\u53f7\u5206\u522b\u8868\u793a\u539f\u578b\uff0c\u8ddd\u79bb\u51fd\u6570\u4ee5\u53ca\u5bc6\u5ea6\u51fd\u6570\u3002\u5176\u4e2d\u539f\u578b\u7684\u6982\u5ff5\u7c7b\u4f3c\u4e8ek-means\u4e2d\u7684\u805a\u7c7b\u4e2d\u5fc3\uff0c\u800c\u8ddd\u79bb\u3001\u5bc6\u5ea6\u523b\u753b\u4e86\u8fd9\u4e2a\u805a\u7c7b\u4e2d\u5fc3\u7684\u201c\u52bf\u529b\u8303\u56f4\u201d\u3002\u4e0b\u56fe\u5c31\u662f\u4e00\u4e2a\u4f8b\u5b50\uff0c\u8fd9\u4e2aICMM\u91cc\u9762\u6709\u4e24\u4e2a\u8bed\u4e49\u7ec6\u80de\u3002 ICMM\u7684\u6982\u7387\u5bc6\u5ea6 \u5047\u8bbe\u4e00\u4e2aICMM\u7531[latex]n[\/latex]\u4e2a\u8bed\u4e49\u7ec6\u80de\u6784\u6210\uff0c\u5219\u53ef\u4ee5\u6839\u636e\u6bcf\u4e2a\u8bed\u4e49\u7ec6\u80de\u81ea\u8eab\u7684\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u53ca\u8fd9\u4e2a\u7ec6\u80de\u7684\u6743\u91cd\u6765\u754c\u5b9a\u6574\u4e2aICMM\u7684\u5bc6\u5ea6\u51fd\u6570\u5982\u4e0b [latex]\\delta_{ICMM}(X)=\\sum_{i=1}^{n} \\delta_i (X) Pr(L_i)[\/latex] \u800c\u6bcf\u4e2a\u8bed\u4e49\u7ec6\u80de\u81ea\u8eab\u7684\u5bc6\u5ea6\u51fd\u6570\uff0c\u7531\u4e00\u4e2a\u6307\u5b9a\u7684\u8ddd\u79bb\u51fd\u6570\uff08\u6587\u4e2d\u7528\u6b27\u6c0f\u8ddd\u79bb\uff09\u548c\u4e00\u4e2a\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\uff08\u6587\u4e2d\u7528\u9ad8\u65af\u5bc6\u5ea6\u51fd\u6570\uff09\u4e00\u8d77\u754c\u5b9a\uff0c\u5373 [latex]\\delta_{L_i}(X) = \\delta_{i}(d_i(X,P_i)) [\/latex]\u8868\u793a\u5230X\u4e0e\u539f\u578b\u7684”\u8ddd\u79bb”\u5bc6\u5ea6\uff0c\u800c[latex]\\delta[\/latex]\u662f\u4e00\u4e2a\u9ad8\u65af\u5bc6\u5ea6\u51fd\u6570[latex]\\delta(\\epsilon|c_i, \\sigma_i)[\/latex]. \u4e0a\u9762\u8fd9\u5806\u90fd\u662f\u5bc6\u5ea6\u51fd\u6570\uff0c\u6700\u540e\u7b97\u51fa\u6765\u662f\u4e2a\u8ddd\u79bb\uff08\u4e5f\u53ef\u4ee5\u79f0\u4e4b\u4e3a\u76f8\u4f3c\u5ea6\uff09\u7684\u5bc6\u5ea6\uff0c\u90a3\u5982\u679c\u8981\u6c42\u771f\u6b63\u70b9X\u5230ICMM\u7684\u201c\u8ddd\u79bb\u201d\uff0c\u5c31\u9700\u8981\u6c42\u5bc6\u5ea6\u51fd\u6570\u5728[latex][d(X, P_i), +\\infty)[\/latex]\u8303\u56f4\u7684\u79ef\u5206\u4e86\u3002 \u76ee\u6807\u51fd\u6570 \u8ddf\u5176\u4ed6\u7684\u751f\u6210\u6a21\u578b\u7c7b\u4f3c\uff0c\u5c31\u662f\u6700\u5927\u4f3c\u7136\u4f30\u8ba1\uff0c\u76ee\u6807\u51fd\u6570\u4e5f\u5c31\u53d8\u6210\u4e86\u6574\u4e2a(\u5bf9\u6570)\u671f\u671b\u6700\u5927\u5316\u4e86\u3002 [latex]maximize J(ICMM) = ln \\delta_{ICMM}(DB)=\\sum_{k=1}^{N}(ln \\delta_{ICMM}(X_k))[\/latex] [latex]= […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[42,170,197],"class_list":["post-2233","post","type-post","status-publish","format-standard","hentry","category-study","tag-em","tag-170","tag-197"],"_links":{"self":[{"href":"https:\/\/dayandcarrot.space\/index.php?rest_route=\/wp\/v2\/posts\/2233","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dayandcarrot.space\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dayandcarrot.space\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dayandcarrot.space\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dayandcarrot.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2233"}],"version-history":[{"count":0,"href":"https:\/\/dayandcarrot.space\/index.php?rest_route=\/wp\/v2\/posts\/2233\/revisions"}],"wp:attachment":[{"href":"https:\/\/dayandcarrot.space\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2233"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dayandcarrot.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2233"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dayandcarrot.space\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2233"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}