{"id":6041,"date":"2024-08-21T23:01:01","date_gmt":"2024-08-21T15:01:01","guid":{"rendered":""},"modified":"2024-08-21T23:01:01","modified_gmt":"2024-08-21T15:01:01","slug":"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97","status":"publish","type":"post","link":"https:\/\/mushiming.com\/6041.html","title":{"rendered":"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97"},"content":{"rendered":"<p><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"display: none;\"> \n <path stroke-linecap=\"round\" d=\"M5,0 0,2.5 5,5z\" id=\"raphael-marker-block\" style=\"-webkit-tap-highlight-color: rgba(0, 0, 0, 0);\"><\/path> \n<\/svg> <\/p>\n<div class=\"toc\">\n<h4>\u56de\u6eaf\u641c\u7d22\u7b97\u6cd5\u4e0e\u9ad8\u5149\u53cd\u5c04\u5b66\u4e60\u7684\u5168\u5c40\u4f18\u5316<\/h4>\n<ul>\n<li>\u6982\u8981<\/li>\n<li>\n<ul>\n<li>\u57fa\u7840\u56de\u6eaf\u641c\u7d22\u7b97\u6cd5\uff08BSA\uff09<\/li>\n<li>\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u6a21\u578b<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<h2>\u6982\u8981<\/h2>\n<p>\u8fd9\u9879\u5de5\u4f5c\u62a5\u544a\u4e86\u4e00\u4e2a\u65b0\u7684\u6280\u672f\uff0c\u79f0\u4e3a\u955c\u9762\u53cd\u5c04\u5b66\u4e60\uff0c\u4ee5\u63d0\u9ad8\u4f18\u5316\u6027\u80fd\u7684\u5143\u542f\u53d1\u5f0f\u65b9\u6cd5\u3002\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u662f\u7531\u7269\u7406\u4e2d\u7684\u955c\u9762\u53cd\u5c04\u73b0\u8c61\u6fc0\u53d1\u7684\u3002\u8bf7\u6ce8\u610f\uff0c\u5bf9\u7acb\u5b66\u4e60\u548c\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u4e4b\u95f4\u6709\u5bc6\u5207\u7684\u5173\u7cfb\u3002\u57fa\u4e8e\u5bf9\u7acb\u7684\u5b66\u4e60\u53ef\u4ee5\u770b\u4f5c\u662f\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u7684\u4e00\u79cd\u7279\u6b8a\u60c5\u51b5\u3002\u4e3a\u4e86\u68c0\u9a8c\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u7684\u6709\u6548\u6027\uff0c\u5229\u7528\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u5bf9\u56de\u6eaf\u641c\u7d22\u7b97\u6cd5\u8fdb\u884c\u4e86\u6539\u8fdb\u3002\u5229\u7528\u4ece\u8457\u540d\u7684CEC 2013\u3001CEC 2014\u548cCEC 2017\u6d4b\u8bd5\u7ec4\u4ef6\u4e2d\u63d0\u53d6\u768488\u4e2a\u6d4b\u8bd5\u51fd\u6570\uff0c\u7814\u7a76\u4e86\u6240\u63d0\u51fa\u7684\u5e26\u6709\u9ad8\u5149\u53cd\u5c04\u5b66\u4e60\u7684\u56de\u6eaf\u641c\u7d22\u7b97\u6cd5\u7684\u6027\u80fd<\/p>\n<h3>\u57fa\u7840\u56de\u6eaf\u641c\u7d22\u7b97\u6cd5\uff08BSA\uff09<\/h3>\n<p>** BSA\u7684\u4f18\u7f3a\u70b9 ** \u56de\u6eaf\u641c\u7d22\u7b97\u6cd5(BSA)\u662f\u6700\u8fd1\u62a5\u9053\u7684\u4e00\u79cd\u5143\u542f\u53d1\u5f0f\u65b9\u6cd5[7]\u3002BSA\u5177\u6709\u4ee5\u4e0b\u7279\u70b9:(1)\u63a7\u5236\u53c2\u6570\u53ea\u6709\u4e00\u4e2a\uff0c\u5373\u6df7\u5408\u901f\u7387;(2)\u7ed3\u6784\u7b80\u5355\uff0c\u6613\u4e8e\u5b9e\u73b0;(3)\u5386\u53f2\u79cd\u7fa4\u4e0e\u5f53\u524d\u79cd\u7fa4\u7684\u5fae\u5206\u5411\u91cf\u5f15\u5bfcBSA\u7684\u641c\u7d22\u65b9\u5411\u3002\u57fa\u4e8e\u8fd9\u4e9b\u7279\u70b9\uff0cBSA\u5df2\u88ab\u7528\u4e8e\u89e3\u51b3\u5404\u7c7b\u4f18\u5316\u95ee\u9898\uff0c\u5982\u5efa\u6a21\u6d77\u6ee9\u91cd\u7ec4[8]\u3001\u77ed\u671f\u7535\u4ef7\u9884\u6d4b[9]\u3001\u5149\u4f0f\u6a21\u578b[10]\u7684\u53c2\u6570\u8bc6\u522b\u548c\u94f8\u9020\u70ed\u5904\u7406\u6536\u8d39\u8ba1\u5212[11]\u95ee\u9898\u3002\u7136\u800c\uff0cBSA\u7684\u4eba\u53e3\u66f4\u65b0\u7b56\u7565\u5728\u5f88\u5927\u7a0b\u5ea6\u4e0a\u4f9d\u8d56\u4e8e\u5386\u53f2\u4eba\u53e3\u4e0e\u5f53\u524d\u4eba\u53e3\u7684\u5fae\u5206\u5411\u91cf\uff0c\u65e0\u6cd5\u5145\u5206\u5229\u7528\u4eba\u53e3\u4fe1\u606f\u3002\u968f\u7740\u8fed\u4ee3\u6b21\u6570\u7684\u589e\u52a0\uff0c\u5386\u53f2\u4eba\u53e3\u4e0e\u73b0\u5728\u4eba\u53e3\u7684\u5dee\u5f02\u9010\u6e10\u53d8\u5c0f\uff0c\u8fd9\u5c06\u524a\u5f31\u5bf9BSA\u7684\u63a2\u7d22\u3002\u56e0\u6b64\uff0c\u4e00\u65e6BSA\u9677\u5165\u4e00\u4e2a\u5c40\u90e8\u6700\u5c0f\u503c\uff0cBSA\u5c31\u5f88\u96be\u6446\u8131\u5b83\u3002<\/p>\n<p>\u57fa\u4e8e\u5bf9\u7acb\u7684\u5b66\u4e60\u7684\u57fa\u672c\u601d\u60f3\u53ef\u4ee5\u63cf\u8ff0\u5982\u4e0b\u3002\u4e00\u4e2a\u89e3\u51b3\u65b9\u6848\u7684\u76f8\u53cd\u89e3\u51b3\u65b9\u6848\u53ef\u80fd\u66f4\u63a5\u8fd1\u6700\u4f18\u89e3\u51b3\u65b9\u6848\u3002\u56e0\u6b64\uff0c\u53ef\u4ee5\u901a\u8fc7\u540c\u65f6\u68c0\u9a8c\u4e00\u4e2a\u89e3\u548c\u5b83\u7684\u5bf9\u7acb\u89e3\u6765\u9009\u62e9\u4e00\u4e2a\u66f4\u5408\u9002\u7684\u89e3\uff0c\u4ece\u800c\u52a0\u901f\u6536\u655b\u3002<\/p>\n<p>\u57fa\u4e8e\u5bf9\u4f4d\u5b66\u4e60\u7684\u57fa\u672c\u601d\u60f3\u548c\u7269\u7406\u5b66\u4e2d\u7684\u955c\u9762\u53cd\u5c04\u73b0\u8c61\uff0c\u672c\u7814\u7a76\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u7684BSA\u53d8\u4f53\uff0c\u79f0\u4e3a\u57fa\u4e8e\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u7684\u56de\u6eaf\u641c\u7d22\u7b97\u6cd5(BSA_SRL)\uff0c\u7528\u4e8e\u5168\u5c40\u4f18\u5316\u3002\u5728\u8be5\u65b9\u6cd5\u4e2d\uff0c\u5f15\u5165\u4e86\u4e00\u79cd\u6539\u8fdb\u5143\u542f\u53d1\u5f0f\u65b9\u6cd5\u7684\u65b0\u6280\u672f\uff0c\u5373\u57fa\u4e8e\u955c\u9762\u53cd\u5c04\u73b0\u8c61\u7684\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u3002\u6839\u636e\u57fa\u4e8e\u5bf9\u7acb\u7684\u5b66\u4e60\uff0c\u5728\u4e00\u4e2a\u89e3\u51b3\u65b9\u6848\u548c\u5b83\u7684\u5bf9\u7acb\u89e3\u51b3\u65b9\u6848\u4e4b\u95f4\u5b58\u5728\u4e00\u79cd\u4e00\u5bf9\u4e00\u7684\u5bf9\u5e94\u5173\u7cfb\u3002\u800c\u5bf9\u4e8e\u955c\u9762\u53cd\u5c04\u5b66\u4e60\uff0c\u4e00\u4e2a\u89e3\u4e0e\u5176\u90bb\u57df\u4e4b\u95f4\u5b58\u5728\u5bf9\u5e94\u5173\u7cfb\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u901a\u8fc7\u540c\u65f6\u68c0\u67e5\u8fd9\u4e2a\u90bb\u57df\u7684\u4e00\u4e2a\u89e3\u548c\u53e6\u4e00\u4e2a\u89e3\uff0c\u53ef\u4ee5\u9009\u62e9\u4e00\u4e2a\u66f4\u5408\u9002\u7684\u89e3\u3002\u663e\u7136\uff0c\u57fa\u4e8e\u5bf9\u7acb\u7684\u5b66\u4e60\u53ef\u4ee5\u770b\u4f5c\u662f\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u7684\u4e00\u4e2a\u7279\u4f8b\u3002\u6b64\u5916\uff0c\u50cf\u57fa\u4e8e\u5bf9\u7acb\u7684\u5b66\u4e60\uff0c\u5f53\u7528\u4e8e\u5143\u542f\u53d1\u5f0f\u65b9\u6cd5\u65f6\uff0c\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u4e5f\u4f5c\u4e3a\u4e00\u4e2a\u53d8\u5f02\u7b97\u5b50\u3002\u672c\u5de5\u4f5c\u7684\u4e3b\u8981\u8d21\u732e\u53ef\u4ee5\u603b\u7ed3\u5982\u4e0b\u3002<\/p>\n<p>** BSA\u7684\u57fa\u672c\u8fc7\u7a0b **<br \/> <img decoding=\"async\" src=\"https:\/\/img-blog.csdnimg.cn\/20201012113328437.png\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97 (https:\/\/mushiming.com\/)  \u7b2c1\u5f20\" title=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97  \u7b2c1\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u56de\u6eaf\u641c\u7d22\u7b97\u6cd5\u7684\u7ed3\u6784\u975e\u5e38\u7b80\u5355\uff0c\u5b83\u7531\u521d\u59cb\u5316\u3001\u9009\u62e9- i\u3001\u53d8\u5f02\u3001\u4ea4\u53c9\u548c\u9009\u62e9- ii\u4e94\u4e2a\u90e8\u5206\u7ec4\u6210<\/p>\n<p><strong>\u521d\u59cb\u5316:<\/strong> \u8fd9\u4e2a\u9636\u6bb5\u662f\u4e3a\u4e86\u521d\u59cb\u5316\u79cd\u7fa4 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> X = x 1 , x 2 , . . . , x N X={ x_{1} ,x_{2},...,x_{N}} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68333em; vertical-align: 0em;\"><\/span><span class=\"mord mathdefault\" style=\"margin-right: 0.07847em;\">X<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathdefault\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.328331em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.10903em;\">N<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,\u548c\u5386\u53f2\u79cd\u7fa4<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> X o l d = x o l d , 1 , x o l d , 2 , . . . , x o l d , N X_{old}={ x_{old,1} ,x_{old,2},...,x_{old,N}} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.83333em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\" style=\"margin-right: 0.07847em;\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.336108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.07847em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">o<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.01968em;\">l<\/span><span class=\"mord mathdefault mtight\">d<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.716668em; vertical-align: -0.286108em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathdefault\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.336108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">o<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.01968em;\">l<\/span><span class=\"mord mathdefault mtight\">d<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.336108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">o<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.01968em;\">l<\/span><span class=\"mord mathdefault mtight\">d<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.336108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">o<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.01968em;\">l<\/span><span class=\"mord mathdefault mtight\">d<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.10903em;\">N<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>.\u5176\u4e2dN\u662f\u6307\u79cd\u7fa4\u7684\u5927\u5c0f\u3002X\u7684\u5177\u4f53\u521d\u59cb\u5316\u65b9\u5f0f\u5982\u4e0b\uff1a<br \/> <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> x i , j = l j + ( u j \u2212 l j ) \u22c5 \u03be , i = 1 , 2 , . . . N , j = 1 , 2 , . . . , D x_{i,j}=l_{j} + (u_{j}-l_{j})\\cdot\\xi,i=1,2,...N,j=1,2,...,D <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.716668em; vertical-align: -0.286108em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.05724em;\">j<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.980548em; vertical-align: -0.286108em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\" style=\"margin-right: 0.01968em;\">l<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.01968em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.05724em;\">j<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.03611em; vertical-align: -0.286108em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathdefault\">u<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.05724em;\">j<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.03611em; vertical-align: -0.286108em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\" style=\"margin-right: 0.01968em;\">l<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.01968em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.05724em;\">j<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.88888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord mathdefault\" style=\"margin-right: 0.04601em;\">\u03be<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord mathdefault\">i<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.87777em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mord mathdefault\" style=\"margin-right: 0.10903em;\">N<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord mathdefault\" style=\"margin-right: 0.05724em;\">j<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.87777em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord mathdefault\" style=\"margin-right: 0.02778em;\">D<\/span><\/span><\/span><\/span><\/span><\/span><br \/> \u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> X o l d X_{old} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.83333em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\" style=\"margin-right: 0.07847em;\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.336108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.07847em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">o<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.01968em;\">l<\/span><span class=\"mord mathdefault mtight\">d<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u521d\u59cb\u5316\u65b9\u5f0f\u4e0eX\u76f8\u540c\u3002<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> l l <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord mathdefault\" style=\"margin-right: 0.01968em;\">l<\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> u u <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.43056em; vertical-align: 0em;\"><\/span><span class=\"mord mathdefault\">u<\/span><\/span><\/span><\/span><\/span>\u662f\u6307\u79cd\u7fa4\u7684\u4e0a\u4e0b\u754c\u3002D\u662f\u6307\u95ee\u9898\u7684\u7ef4\u5ea6\u3002<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> \u03be \\xi <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.88888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord mathdefault\" style=\"margin-right: 0.04601em;\">\u03be<\/span><\/span><\/span><\/span><\/span>\u662f\u30100\uff0c1\u3011\u4e4b\u95f4\u7684\u968f\u673a\u6570\u3002<br \/> <strong>\u9009\u62e9-I<\/strong> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> X o l d X_{old} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.83333em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\" style=\"margin-right: 0.07847em;\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.336108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.07847em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">o<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.01968em;\">l<\/span><span class=\"mord mathdefault mtight\">d<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u8d77\u7740\u91cd\u8981\u4f5c\u7528\uff0c\u7528\u4e8e\u6307\u5bfc\u79cd\u7fa4X\u7684\u641c\u7d22\u65b9\u5411\u3002<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> X o l d X_{old} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.83333em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\" style=\"margin-right: 0.07847em;\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.336108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.07847em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">o<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.01968em;\">l<\/span><span class=\"mord mathdefault mtight\">d<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u66f4\u65b0\u65b9\u5f0f\u5982\u4e0b\uff1a<br \/> <img decoding=\"async\" src=\"https:\/\/img-blog.csdnimg.cn\/20201012142405876.png#pic_center\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97 (https:\/\/mushiming.com\/)  \u7b2c2\u5f20\" title=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97  \u7b2c2\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> \u03c1 1 \\rho_{1} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> \u03c1 2 \\rho_{2} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u670d\u4ece\u6b63\u6001\u5206\u5e03\u7684[0,1]\u4e4b\u95f4\u7684\u968f\u673a\u503c.<br \/> <img decoding=\"async\" src=\"https:\/\/img-blog.csdnimg.cn\/20201012143812277.png#pic_center\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97 (https:\/\/mushiming.com\/)  \u7b2c3\u5f20\" title=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97  \u7b2c3\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> permuting\u662f\u4e00\u4e2a\u968f\u673a\u53d8\u6362\u51fd\u6570\u7528\u6765\u5bf9Xold\u7684\u4e2a\u4f53\u8fdb\u884c\u968f\u673a\u6392\u5e8f.<br \/> **\u53d8\u5f02:**\u53d8\u5f02\u7b97\u5b50\u4ea7\u751f\u4e00\u7ec4\u65b0\u7684\u57fa\u672c\u89e3<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> \u03c8 i = ( \u03c8 i , 1 , \u03c8 i , 2 , . . . , \u03c8 i , D ) \\psi_i=(\\psi_{i,1},\\psi_{i,2},...,\\psi_{i,D}) <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.88888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\" style=\"margin-right: 0.03588em;\">\u03c8<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.03588em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathdefault mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.03611em; vertical-align: -0.286108em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathdefault\" style=\"margin-right: 0.03588em;\">\u03c8<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.03588em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\" style=\"margin-right: 0.03588em;\">\u03c8<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.03588em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\" style=\"margin-right: 0.03588em;\">\u03c8<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.328331em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.03588em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.02778em;\">D<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u6765\u66f4\u65b0<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x i x_i <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.58056em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathdefault mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,\u5177\u4f53\u7684\u66f4\u65b0\u65b9\u5f0f\u5982\u4e0b\uff1a<br \/> <img decoding=\"async\" src=\"https:\/\/img-blog.csdnimg.cn\/2020101222592011.png#pic_center\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97 (https:\/\/mushiming.com\/)  \u7b2c4\u5f20\" title=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97  \u7b2c4\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u5728\u57fa\u672c\u7684\u56de\u6eaf\u641c\u7d22\u7b97\u6cd5\u4e2d\uff0cF\u53eb\u505a\u6bd4\u4f8b\u56e0\u5b50\uff0c\u8bbe\u7f6e\u4e3a3m\uff0cm\u662f\u670d\u4ece\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7684\u968f\u673a\u6570<br \/> **\u4ea4\u53c9:**\u4ea4\u53c9\u7b97\u5b50\u662f\u751f\u6210\u6700\u7ec8\u89e3<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> \u03c7 i , 1 , \u03c7 i , 2 , . . . , \u03c7 i , D \\chi_{i,1},\\chi_{i,2},...,\\chi_{i,D} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.716668em; vertical-align: -0.286108em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">\u03c7<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">\u03c7<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">\u03c7<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.328331em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.02778em;\">D<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u7b97\u5b50\uff0c\u5b83\u662f\u7531\u4e00\u4e2a\u4e8c\u8fdb\u5236\u6574\u6570\u77e9\u9635<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> E = ( e 1 , e 2 , . . . , e N ) E =( e_1,e_2,...,e_N) <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68333em; vertical-align: 0em;\"><\/span><span class=\"mord mathdefault\" style=\"margin-right: 0.05764em;\">E<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em; vertical-align: -0.25em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathdefault\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.328331em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.10903em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u6765\u6267\u884c\u7684\u3002E\u7684\u5927\u5c0f\u662fX*N\u5177\u4f53\u7684\u66f4\u65b0\u65b9\u5f0f\u5982\u4e0b\uff1a<br \/> <img decoding=\"async\" src=\"https:\/\/img-blog.csdnimg.cn\/20201012231336804.png#pic_center\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97 (https:\/\/mushiming.com\/)  \u7b2c5\u5f20\" title=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97  \u7b2c5\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> e i = ( e i , 1 , e i , 2 , . . . , e i , D ) e_i = (e_{i,1},e_{i,2},...,e_{i,D}) <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.58056em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathdefault mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.03611em; vertical-align: -0.286108em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathdefault\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mord\">.<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.328331em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathdefault mtight\" style=\"margin-right: 0.02778em;\">D<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u662f\u7b2ci\u4e2a\u4e2a\u4f53\u7684\u6574\u503c\u5411\u91cf\u3002\u6b64\u5916\uff0c\u6839\u636e\u56de\u6eaf\u641c\u7d22\u7b97\u6cd5\u7684\u5b9a\u4e49\uff0c\u5c06\u6df7\u5408\u901f\u7387M<sub>rate<\/sub>\u8bbe\u7f6e\u4e3a1\u6765\u63a7\u5236E\u3002<br \/> **\u9009\u62e9-II:**\u8fd9\u4e2a\u9636\u6bb5\u662f\u5728<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> \u03c7 i \\chi_{i} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">\u03c7<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathdefault mtight\">i<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x i x_i <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.58056em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathdefault\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.311664em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathdefault mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e4b\u95f4\u9009\u62e9\u66f4\u9002\u5408\u7684\u89e3\u8fdb\u5165\u4e0b\u4e00\u4ee3\u79cd\u7fa4\uff0c\u53ef\u4ee5\u8ba1\u7b97<br \/> <img decoding=\"async\" src=\"https:\/\/img-blog.csdnimg.cn\/20201013105953581.png#pic_center\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97 (https:\/\/mushiming.com\/)  \u7b2c6\u5f20\" title=\"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97  \u7b2c6\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u5177\u4f53\u4ee3\u7801\uff1a<\/p>\n<pre class=\"language-java prettyprint linenums\"><code>function [BestCost,BestValue,Best]=ROBSA(fhd,nPop,nVar,VarMin,VarMax,MaxIt,X,varargin) it=0; FES=0; FE_best=[]; DIM_RATE=1; for i=1:nPop val_X(i) = feval(fhd,(X(i,:))',varargin{:}); end historical_X = repmat(VarMin, nPop, 1) + rand(nPop, nVar) .* (repmat(VarMax-VarMin, nPop, 1)); M_X=rand; while FES &lt; MaxIt it=it+1; if rand&lt;rand historical_X=X; end historical_X=historical_X(randperm(nPop),:); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 map=ones(nPop,nVar); %%%\u66f4\u65b0E\uff0cE\u76f8\u5f53\u4e8emap if rand&lt;rand for i=1:nPop u=randperm(nVar); map(i,u(1:ceil(DIM_RATE*rand*nVar)))=0; end else for i=1:nPop map(i,randi(nVar))=0; end end %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% F=3*randn;%\u66f4\u65b0F for i=1:nPop Xi=X(i,:)+F.*map(i,:).*(historical_X(i,:)-X(i,:)); Xi = boundConstraint_absorb(Xi, VarMin, VarMax); val_Xi = feval(fhd,(Xi)',varargin{:}); FES = FES+1; if val_Xi&lt;val_X(i) val_X(i) = val_Xi; X(i,:) = Xi; end end [~,index_Best] = sort(val_X); BestValue=val_X(index_Best(1)); Best=X(index_Best(1),:); BestCost(it)=BestValue; end end <\/code><\/pre>\n<h3>\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u6a21\u578b<\/h3>\n","protected":false},"excerpt":{"rendered":"BSA_BSA\u4f53\u8868\u9762\u79ef\u8ba1\u7b97\u56de\u6eaf\u641c\u7d22\u7b97\u6cd5\u4e0e\u9ad8\u5149\u53cd\u5c04\u5b66\u4e60\u7684\u5168\u5c40\u4f18\u5316\u6982\u8981\u57fa\u7840\u56de\u6eaf\u641c\u7d22\u7b97\u6cd5\uff08BSA\uff09\u955c\u9762\u53cd\u5c04\u5b66\u4e60\u6a21\u578b\u6982\u8981\u8fd9\u9879\u5de5\u4f5c\u62a5\u544a\u4e86...","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"_links":{"self":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts\/6041"}],"collection":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/comments?post=6041"}],"version-history":[{"count":0,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts\/6041\/revisions"}],"wp:attachment":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/media?parent=6041"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/categories?post=6041"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/tags?post=6041"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}