{"id":1565,"date":"2016-02-25T08:28:41","date_gmt":"2016-02-25T00:28:41","guid":{"rendered":"http:\/\/systemsci.org\/jinshanw\/?p=1565"},"modified":"2016-02-25T08:28:41","modified_gmt":"2016-02-25T00:28:41","slug":"%e7%bb%9f%e4%b8%80%e6%8f%8f%e8%bf%b0%ef%bc%9a%e5%b0%81%e9%97%ad%e4%b8%8e%e5%bc%80%e6%94%be%ef%bc%8cio%e5%92%8cpagerank","status":"publish","type":"post","link":"https:\/\/www.systemsci.org\/jinshanw\/2016\/02\/25\/%e7%bb%9f%e4%b8%80%e6%8f%8f%e8%bf%b0%ef%bc%9a%e5%b0%81%e9%97%ad%e4%b8%8e%e5%bc%80%e6%94%be%ef%bc%8cio%e5%92%8cpagerank\/","title":{"rendered":"\u7edf\u4e00\u63cf\u8ff0\uff1a\u5c01\u95ed\u4e0e\u5f00\u653e\uff0cIO\u548cPageRank\uff0c\u539f\u59cb\u4e0eHEM"},"content":{"rendered":"

\u6211\u4eec\u63d0\u51fa\u7684\u5e7f\u4e49\u6295\u5165\u4ea7\u51fa\u89c1\u76f8\u5173\u7684\u5e16\u5b50\uff1a\u5e7f\u4e49\u6295\u5165\u4ea7\u51fa\u7814\u7a76\u57fa\u672c\u6587\u732e<\/a>\u4ee5\u53ca\u5e7f\u4e49\u6295\u5165\u4ea7\u51fa\u5206\u6790\u7528\u4e8e\u79d1\u5b66\u5b66\u7684\u6587\u7ae0\u51fa\u6765\u4e86<\/a><\/p>\n

\u5e7f\u4e49\u6295\u5165\u4ea7\u51fa\u5206\u6790\u4e0e\u7ecf\u6d4e\u5b66\u6295\u5165\u4ea7\u51fa\u5206\u6790\u548cPageRank\u7b97\u6cd5\u7684\u5173\u7cfb\u7814\u7a76<\/p>\n

\u5e7f\u4e49\u6295\u5165\u4ea7\u51fa\u5206\u6790\uff0c\u57fa\u4e8e\u7ecf\u6d4e\u5b66\u5f00\u653e\u7cfb\u7edf\u6295\u5165\u4ea7\u51fa\u5206\u6790\uff0c\u5e76\u4e14\u548cPageRank\u7b97\u6cd5\u6709\u5f88\u5927\u7684\u76f8\u4f3c\u6027\u3002\u5728\u6b64\uff0c\u6211\u4eec\u6765\u8ba8\u8bba\u524d\u8005\u548c\u540e\u4e24\u8005\u7684\u5173\u7cfb\u3002<\/p>\n

\u4ece\u603b\u6295\u5165\u77e9\u9635\uff08\u5b9e\u7269\u6d41\u3001\u8d27\u5e01\u6d41\u3001\u80fd\u91cf\u6d41\u3001\u4fe1\u606f\u6d41\uff09(\\left(x^{i}{j}\\right)<\/em>{N\\times N})\uff08\u4ee3\u8868\u4ecei\u5230j\u7684\u6d41\u91cf\uff09\u51fa\u53d1\uff0c\u5c01\u95ed\u7cfb\u7edf\u6295\u5165\u4ea7\u51fa\u7814\u7a76\u77e9\u9635
\n[B^{i}{j} = \\frac{x^{i}<\/em>{j}}{X^{j}};]
\n\u5f00\u653e\u7cfb\u7edf\u6295\u5165\u4ea7\u51fa\u77e9\u9635\u7684\u5b9a\u4e49\u662f
\n[B^{-N},]
\n(B)\u77e9\u9635\u53bb\u6389\u6700\u540e\u4e00\u884c\u4e00\u5217\uff0c\u628a\u6700\u540e\u4e00\u4e2a\u90e8\u95e8\uff08\u6700\u7ec8\u6d88\u8d39\u8005\u90e8\u95e8\uff0c\u5bf9\u5e94\u4e8e\u524d\u9762\u7684\u751f\u4ea7\u90e8\u95e8\uff09\u72ec\u7acb\u51fa\u6765\u5f53\u4f5c\u5916\u754c\uff1b
\nPageRank\u7684\u5173\u7cfb\u77e9\u9635\u5b9a\u4e49\u4e3a
\n[A^{i}{j} = \\frac{x^{i}<\/em>{j}}{X^{i}}.]
\n\u5728\u5b9e\u9645\u8ba1\u7b97\u4e2d\uff0c\u7531\u4e8e\u8003\u8651\u5230\u672c\u5f81\u77e2\u91cf\u552f\u4e00\u6027\u7684\u95ee\u9898\uff0cPageRank\u589e\u52a0\u4e86\u4e00\u4e2a\u968f\u673a\u8df3\u8dc3\u9879\uff0c\u8ba1\u7b97\u5982\u4e0b\u77e9\u9635\u7684\u672c\u5f81\u5411\u91cf\uff0c
\n [\\hat{A} = (1-\\beta)A+ \\beta E.]
\n\u4ee5\u4e0a\u77e9\u9635\u7684\u672c\u5f81\u77e2\u91cf\u6ee1\u8db3\uff0c
\n [\\hat{A}p = \\lambda p \\longrightarrow p = \\beta\\left(\\lambda – (1-\\beta)A\\right)^{-1}e,]
\n\u5176\u4e2d(E)\u77e9\u9635\u548c(e)\u5411\u91cf\u7684\u5404\u4e2a\u5143\u7d20\u90fd\u662f1\u3002\u6309\u7167\u8fd9\u4e2a\u7ed3\u679c\u548c\u5f00\u653e\u7cfb\u7edf\u6295\u5165\u4ea7\u51fa\u7684\u516c\u5f0f
\n[X=\\left(1-B^{-N}\\right)^{-1} Y,]
\n\u6211\u4eec\u628a\u5f00\u653e\u548c\u5c01\u95ed\u7cfb\u7edf\u7684\u6295\u5165\u4ea7\u51fa\u548cHEM-PageRank\u7edf\u4e00\u8bb0\u4f5c\uff0c
\n[p= \\beta\\left(\\lambda – (1-\\beta)S\\right)^{-1}q \\propto \\frac{-1}{S-\\frac{\\lambda}{1-\\beta}}q, \\hspace{2cm} (1)]
\n\u5176\u4e2d\uff0c
\n[q= \\left{\\begin{array}{cc}Y & \\mbox{for open IO & PR} \e & \\mbox{for close IO & PR} \\end{array}\\right.,]
\n[S= \\left{\\begin{array}{cc}B & \\mbox{for IO} \A & \\mbox{for PR} \\end{array}\\right..]<\/p>\n

\u7136\u540e\uff0c\u5f00\u653e\u7cfb\u7edfHEM\u6307\u5f53(\\lambda=1)\u7684\u65f6\u5019\u5bf9\u6bd4(S^{-N})\u548c(\\hat{S}^{-N-j})\uff08\u6ce8\u610f\u8fd8\u6709\u4e00\u4e2a\u5c0f\u5c0f\u7684\u6280\u672f\u95ee\u9898\uff1a\u91cd\u65b0\u5f52\u4e00\u5316\uff09\u5f97\u5230\u7684\u672c\u5f81\u77e2\u91cfp\uff1b\u5c01\u95ed\u7cfb\u7edfHEM\u6307\u5bf9\u6bd4(S)\u548c(S^{-j})\uff08\u6ce8\u610f\u8fd8\u6709\u4e00\u4e2a\u5c0f\u5c0f\u7684\u6280\u672f\u95ee\u9898\uff1a\u91cd\u65b0\u5f52\u4e00\u5316\uff09\u5f97\u5230\u7684\u6700\u5927\u672c\u5f81\u503c(\\lambda)\u548c\u76f8\u5e94\u7684\u672c\u5f81\u77e2\u91cf(p)\u3002\u7406\u8bba\u4e0a\uff0c\u6211\u4eec\u5df2\u7ecf\u628a\u5e7f\u4e49\u6295\u5165\u4ea7\u51fa\u5206\u6790\u548cHEM-PageRank\u7edf\u4e00\u6210\u4e3a\u4e00\u4e2a\u5206\u6790\u6846\u67b6\u3002\u6709\u8fd9\u6837\u4e00\u4e2a\u7edf\u4e00\u7684\u6846\u67b6\u5bf9\u4e8e\u5177\u4f53\u5de5\u4f5c\u7684\u5f00\u5c55\u8fd8\u6709\u65b9\u6cd5\u7684\u8fdb\u4e00\u6b65\u53d1\u5c55\u90fd\u662f\u975e\u5e38\u6709\u610f\u4e49\u7684\u3002<\/p>\n

\u662f\u5426\u53ef\u4ee5\u8ba9(\\beta)\u53d8\u6210\u4e00\u4e2a\u590d\u6570\uff0c\u7136\u540e\u8ba9\u8fd9\u4e2a\u590d\u6570\u8d8b\u4e8e\u67d0\u4e00\u4e2a\u5b9e\u6570\u6765\u770b\u770b(p)\u7684\u7ed3\u679c\uff1f<\/p>\n","protected":false},"excerpt":{"rendered":"

\u6211\u4eec\u63d0\u51fa\u7684\u5e7f\u4e49\u6295\u5165\u4ea7\u51fa\u89c1\u76f8\u5173\u7684\u5e16\u5b50\uff1a\u5e7f\u4e49\u6295\u5165\u4ea7\u51fa\u7814\u7a76\u57fa\u672c\u6587\u732e\u4ee5\u53ca\u5e7f\u4e49\u6295\u5165\u4ea7\u51fa\u5206\u6790\u7528\u4e8e\u79d1\u5b66\u5b66\u7684\u6587\u7ae0\u51fa\u6765\u4e86 \u5e7f\u4e49\u6295 … \u7ee7\u7eed\u9605\u8bfb\u201c\u7edf\u4e00\u63cf\u8ff0\uff1a\u5c01\u95ed\u4e0e\u5f00\u653e\uff0cIO\u548cPageRank\uff0c\u539f\u59cb\u4e0eHEM\u201d<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[11],"tags":[85],"_links":{"self":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/1565"}],"collection":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/comments?post=1565"}],"version-history":[{"count":0,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/1565\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/media?parent=1565"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/categories?post=1565"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/tags?post=1565"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}