{"id":552,"date":"2013-03-18T17:18:50","date_gmt":"2013-03-18T09:18:50","guid":{"rendered":"http:\/\/systemsci.org\/jinshanw\/?p=552"},"modified":"2024-09-19T18:13:40","modified_gmt":"2024-09-19T10:13:40","slug":"%e6%b1%89%e5%ad%97%e7%a0%94%e7%a9%b6%e7%9a%84%e5%b7%a5%e4%bd%9c%e8%a2%abbbcfuture%e4%b8%93%e6%a0%8f%e8%bf%b0%e8%af%84","status":"publish","type":"post","link":"https:\/\/www.systemsci.org\/jinshanw\/2013\/03\/18\/%e6%b1%89%e5%ad%97%e7%a0%94%e7%a9%b6%e7%9a%84%e5%b7%a5%e4%bd%9c%e8%a2%abbbcfuture%e4%b8%93%e6%a0%8f%e8%bf%b0%e8%af%84\/","title":{"rendered":"\u6c49\u5b57\u7814\u7a76\u7684\u5de5\u4f5c\u88abBBCFuture\u4e13\u680f\u8ff0\u8bc4"},"content":{"rendered":"<p>\u89c1<a href=\"http:\/\/www.bbc.com\/future\/story\/20130315-a-better-way-to-learn-chinese\" target=\"_blank\" rel=\"noopener\">http:\/\/www.bbc.com\/future\/story\/20130315-a-better-way-to-learn-chinese<\/a>\u3002\u8ff0\u8bc4\u5199\u7684\u975e\u5e38\u597d\uff0c\u6bd4\u6211\u4eec\u7684\u6587\u7ae0\u7684Introduction\u8fd8\u8981\u597d\u3002Philip Ball\u662f\u725b\u4eba\u4e00\u540d\uff08Critical Mass\u7b49\u4e66\u7684\u4f5c\u8005\uff09\u3002<\/p>\n<p><a href=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/BBCArticlePage.jpg\"><img loading=\"lazy\" class=\"alignleft size-full wp-image-5086\" src=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/BBCArticlePage.jpg\" alt=\"BBCArticlePage\" width=\"1680\" height=\"1050\" \/><\/a><br 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href=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/bing.png\"><img loading=\"lazy\" class=\"alignleft size-full wp-image-5116\" src=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/bing.png\" alt=\"bing\" width=\"859\" height=\"637\" \/><\/a><\/p>\n<p><a href=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/jian.png\"><img loading=\"lazy\" class=\"alignleft size-full wp-image-5115\" src=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/jian.png\" alt=\"jian\" width=\"857\" height=\"596\" 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href=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/learncost.png\"><img loading=\"lazy\" class=\"alignleft size-full wp-image-5088\" src=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/learncost.png\" alt=\"learncost\" width=\"400\" height=\"600\" \/><\/a><\/p>\n<p>\u6709\u4e86\u8fd9\u4e2a\u62c6\u5206\u7684\u539f\u5219\u4e4b\u540e\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5bf9\u6240\u6709\u7684\u6c49\u5b57\u505a\u62c6\u5206\uff0c\u5f97\u5230\u6c49\u5b57\u7ed3\u6784\u5730\u56fe\uff08\u8fd9\u4e2a\u57fa\u7840\u6570\u636e\u662f\u56db\u4eba\u5e74\u7684\u5de5\u4f5c\u91cf\u54e6\uff0c\u800c\u4e14\u6211\u4eec\u90fd\u4ec5\u4ec5\u662f\u505a\u6574\u7406\u2014\u2014\u628a\u524d\u4eba\u7814\u7a76\u597d\u7684\u6bcf\u4e00\u4e2a\u5b57\u5230\u5e95\u5e94\u8be5\u5982\u4f55\u62c6\u5206\u6709\u4ec0\u4e48\u9053\u7406\u6574\u7406\u6210\u6bd4\u8f83\u6709\u7cfb\u7edf\u7684\u4e00\u4e2a\u6570\u636e\u5e93\u2014\u2014\u800c\u5df2\uff09\uff0c\u89c1\u4e0b\u56fe\u3002<br \/>\n<a href=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/bigmap.jpg\"><img loading=\"lazy\" class=\"alignleft size-full wp-image-5087\" src=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/bigmap.jpg\" alt=\"bigmap\" width=\"3600\" height=\"1800\" \/><\/a><\/p>\n<p>\u90a3\u73b0\u5728\u6709\u4e86\u63cf\u8ff0\u6c49\u5b57\u8054\u7cfb\u7684\u6570\u5b66\u7ed3\u6784\uff08\u8bb0\u505a\u77e9\u9635\\(A\\)\uff0c\u5176\u4e2d\u5143\u7d20\\(a^{i}_{j}=1\\)\u8868\u793a\u6c49\u5b57\\(i\\)\u6210\u4e86\u6c49\u5b57\\(j\\)\u7684\u4e00\u90e8\u5206\uff0c\u5426\u5219\\(a^{i}_{j}=0\\)\uff09\u4e86\uff0c\u8fd9\u4e2a\u7ed3\u6784\u80fd\u591f\u5e2e\u52a9\u6211\u4eec\u901a\u8fc7\u8ba1\u7b97\u6765\u89e3\u7b54\u524d\u9762\u7684\u4e24\u4e2a\u95ee\u9898\u5417\u2014\u2014\u66f4\u597d\u7684\u6c49\u5b57\u5b66\u4e60\u987a\u5e8f\u3001\u66f4\u597d\u7684\u6c49\u5b57\u68c0\u6d4b\u7b97\u6cd5\uff1f\u76f4\u89c9\u4e0a\u6765\u8bf4\uff0c\u5728\u6c49\u5b57\u5b66\u4e60\u4e0a\uff0c\u6211\u4eec\u9700\u8981\u4e00\u4e2a\u201c\u5b66\u4e60\u4e86\u6c49\u5b57A\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u66f4\u5bb9\u6613\u66f4\u597d\u5730\u5b66\u4e60\u6c49\u5b57B\u201d\u7684\u5173\u7cfb\uff0c\u6bd4\u5982\u8bf4\uff0c\u5199\u6210\\(C\\left(B=0\\rightarrow B=1|A=1\\right)\\)\uff0c\u4ee5\u53ca\u66f4\u52a0\u4e00\u822c\u7684\u591a\u4e2a\u6c49\u5b57\u4e4b\u95f4\u7684\u5b66\u4e60\u4e0a\u7684\u4f9d\u8d56\u5173\u7cfb\\(C\\left(B=0\\rightarrow B=1|A_{1}=1,A_{2}=1\\right)\\)\u3002\u76f4\u89c9\u4e0a\u6765\u8bf4\uff0c\u5728\u6c49\u5b57\u68c0\u6d4b\u4e0a\uff0c\u6211\u4eec\u9700\u8981\u4e00\u4e2a\u201c\u68c0\u6d4b\u5f97\u5230\u6c49\u5b57A\u8ba4\u5f97\uff08\u4e0d\u8ba4\u5f97\uff09\u53ef\u4ee5\u63a8\u65ad\u51fa\u6765\u6c49\u5b57B\u8ba4\u5f97\u6216\u8005\u4e0d\u8ba4\u5f97\u7684\u6982\u7387\u201d\uff0c\u6bd4\u5982\u8bf4\uff0c\u5199\u6210\\(P\\left(B=1|A=1\\right), P\\left(B=0|A=1\\right), P\\left(B=1|A=0\\right), P\\left(B=0|A=0\\right)\\)\uff0c\u4ee5\u53ca\u66f4\u52a0\u4e00\u822c\u7684\u591a\u4e2a\u6c49\u5b57\u4e4b\u95f4\u7684\u662f\u5426\u8ba4\u5f97\u4e0a\u7684\u4f9d\u8d56\u5173\u7cfb\\(P\\left(B=1|A_{1}=1,A_{2}=1\\right)\\)\u7b49\u7b49\u3002<\/p>\n<p>\u8fd9\u4e2a\u4f9d\u8d56\u5173\u7cfb\u53ef\u4ee5\u4ece\u4e0a\u9762\u7684\u6c49\u5b57\u7ed3\u6784\u5730\u56fe\u6216\u8005\u8bf4\u6c49\u5b57\u7f51\u7edc\u4e0a\u5f97\u5230\u5417\uff1f\u5927\u6982\u6765\u8bf4\u53ef\u4ee5\u3002\u6211\u4eec\u53ef\u4ee5\u628a\u8fde\u8fb9\u8fde\u8d77\u6765\u7684\u6c49\u5b57\u8fd9\u6837\u6765\u770b\uff1a\u5b66\u4e60\u4e0b\u4e00\u5c42\u7684\u66f4\u7b80\u5355\u7684\u6c49\u5b57\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u964d\u4f4e\u5b66\u4e60\u4e0a\u5c42\u6c49\u5b57\u7684\u6210\u672c\uff08\u5177\u4f53\u5982\u4f55\u964d\u4f4e\u662f\u53e6\u4e00\u4e2a\u95ee\u9898\uff09\uff0c\u8fd9\u6837\u5c31\u5927\u6982\u5f97\u5230\u4e86\\(C\\)\u51fd\u6570\uff1b\u5982\u679c\u68c0\u6d4b\u4e86\u4e0b\u5c42\u6c49\u5b57\u4e0d\u8ba4\u5f97\uff0c\u5219\u4e0a\u5c42\u6c49\u5b57\u4ee5\u5f88\u5927\u7684\u6982\u7387\u53ef\u4ee5\u63a8\u65ad\u4e0d\u8ba4\u5f97\uff0c\u68c0\u6d4b\u4e86\u4e0a\u5c42\u6c49\u5b57\u8ba4\u5f97\uff0c\u5219\u4e0b\u5c42\u6c49\u5b57\u4ee5\u5f88\u5927\u7684\u6982\u7387\u53ef\u4ee5\u63a8\u65ad\u8ba4\u5f97\uff0c\u8fd9\u6837\u5c31\u5f97\u5230\u4e86\\(P\\)\u51fd\u6570\u3002<strong>\u7531\u4e8e\u5b66\u4e86\u57fa\u672c\u5b57\u53ef\u4ee5\u964d\u4f4e\u5b66\u4e60\u590d\u6742\u5b57\u7684\u6210\u672c\uff0c\u8fd9\u6837\u7684\\(C\\)\u51fd\u6570\u6709\u4e00\u4e2a\u7279\u6027\uff1a\u4ece\u5e95\u5411\u4e0a\u5b66\u8d77\u6765\u8282\u7701\u6210\u672c\uff0c\u8df3\u7740\u5b66\u6210\u672c\u66f4\u9ad8\u3002<\/strong><\/p>\n<p>\u6709\u4e86\u8fd9\u4e24\u4e2a\u51fd\u6570\uff0c\u539f\u5219\u4e0a\uff0c\u6211\u4eec\u5c31\u6210\u4e86\u4e00\u4e2a\u6570\u5b66\u9898\uff1a\u7ed9\u5b9a\u4efb\u4f55\u4e00\u4e2a\u5b66\u4e60\u987a\u5e8f\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u51fa\u6765\u4ece\u6210\u672c\uff1b\u7ed9\u5b9a\u4e00\u4e2a\u68c0\u6d4b\u987a\u5e8f\uff08\u68c0\u6d4b\u7b97\u6cd5\uff09\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u51fa\u6765\u9700\u8981\u68c0\u6d4b\u591a\u5c11\u6b21\u624d\u80fd\u8fbe\u5230\u67d0\u4e2a\u8bef\u5dee\u8303\u56f4\u5185\uff0c\u4e8e\u662f\u4e0b\u4e00\u6b65\u5c31\u662f\u4e00\u4e2a\u4f18\u5316\u95ee\u9898\uff1a\u65e2\u7136\u6210\u672c\u90fd\u80fd\u591f\u8ba1\u7b97\u51fa\u6765\uff0c\u5219\uff0c\u662f\u5426\u5b58\u5728\u5e76\u4e14\u80fd\u591f\uff08\u8fd1\u4f3c\uff09\u627e\u5230\u4e00\u4e2a\u6700\u4f18\u7684\u5b66\u4e60\u987a\u5e8f\u548c\u68c0\u6d4b\u987a\u5e8f\uff08\u68c0\u6d4b\u7b97\u6cd5\uff09\u3002<\/p>\n<p>\u5728\u8fd9\u4e2a\u5de5\u4f5c\u4e2d\uff0c\u6211\u4eec\u7528\u4e00\u4e2a\u8fd1\u4f3c\u65b9\u6cd5\u2014\u2014\u9876\u70b9\u6743\u4f20\u9012\u65b9\u6cd5\uff08\u540e\u6765\u6211\u4eec\u53d1\u73b0\u8fd9\u4e2a\u65b9\u6cd5\u662f\u5e7f\u4e49\u6295\u5165\u4ea7\u51fa\u5206\u6790\u7684\u4e00\u79cd\uff0c\u548cPageRank\u7c7b\u4f3c\uff09\u2014\u2014\u6c42\u89e3\u4e86\u7b2c\u4e00\u4e2a\u95ee\u9898\u3002\u6211\u4eec\u628a\u6211\u4eec\u7684\u7b97\u6cd5\u5f97\u5230\u7684\u5b66\u4e60\u987a\u5e8f\u7684\u5ea6\u91cf\u79f0\u4f5c\u201c\u5206\u5e03\u5f0f\u9876\u70b9\u6743\u201d\u3002\u5176\u57fa\u672c\u601d\u60f3\u7279\u522b\u7b80\u5355\uff1a\u7ed9\u6bcf\u4e00\u4e2a\u6c49\u5b57\u4e00\u4e2a\u539f\u59cb\u9876\u70b9\u6743\u2014\u2014\u5176\u4f7f\u7528\u9891\u7387\uff08\\(W\\)\uff09\uff1b\u4ece\u6700\u4e0a\u5c42\u5f00\u59cb\uff0c\u628a\u539f\u59cb\u9876\u70b9\u6743\u5f80\u4e0b\u4f20\u64ad\u5230\u5b83\u4eec\u7684\u4e0b\u4e00\u5c42\uff0c\u4f20\u64ad\u4e4b\u540e\uff0c\u4e0b\u4e00\u5c42\u7684\u5206\u5e03\u5f0f\u9876\u70b9\u6743\uff08\\(\\tilde{W}\\)\uff09\u7b49\u4e8e\u5176\u539f\u59cb\u9876\u70b9\u6743\u52a0\u4e0a\u4ece\u4e0a\u9762\u4f20\u4e0b\u6765\u7684\u90a3\u4e9b\u4e58\u4ee5\u4e2a\u7cfb\u6570\uff0c\u7136\u540e\u7ee7\u7eed\u4f20\u9012\u5230\u4e0b\u4e00\u5c42\uff0c\u4e5f\u5c31\u662f<br \/>\n\\begin{align}<br \/>\n\\tilde{W}^{i}= W^{i} + \\sum_{j}\\frac{a_{i}^{j}}{\\sum_{k}a_{i}^{k}}\\tilde{W}^{j}.<br \/>\n\\end{align}<br \/>\n\u6216\u8005\u8bf4\u7528\u66f4\u7b80\u5355\u7684\u8bb0\u53f7\uff0c\u8bb0\\(B^{i}_{j}=\\frac{a_{i}^{j}}{\\sum_{k}a_{i}^{k}}\\)\uff0c\u5219<br \/>\n\\begin{align}<br \/>\n\\tilde{W}= W+ B\\tilde{W} \\Rightarrow \\tilde{W}= \\left(1-B\\right)^{-1}W.<br \/>\n\\end{align}<br 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href=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/Wu_fig4a.jpg\"><img loading=\"lazy\" class=\"alignleft size-full wp-image-5108\" src=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/Wu_fig4a.jpg\" alt=\"Wu_fig4a\" width=\"360\" height=\"309\" \/><\/a><br \/>\n<a href=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/Wu_fig4b.jpg\"><img loading=\"lazy\" class=\"alignleft size-full wp-image-5107\" src=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2013\/03\/Wu_fig4b.jpg\" alt=\"Wu_fig4b\" width=\"360\" height=\"309\" 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href=\"http:\/\/www.learnm.org\" target=\"_blank\" rel=\"noopener\">www.learnm.org<\/a>\u3002\u5df2\u53d1\u8868\u7684\u8bba\u6587\u5728\u8fd9\u91cc\uff1aXiaoyong Yan, Ying Fan, Zengru Di, Shlomo Havlin, Jinshan Wu, <a href=\"https:\/\/journals.plos.org\/plosone\/article?id=10.1371\/journal.pone.0069745\" target=\"_blank\" rel=\"noopener\">Efficient learning strategy of chinese characters based on network approach<\/a>, PloS ONE, 8, e69745 (2013) DOI: 10.1371\/journal.pone.0069745.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u89c1http:\/\/www.bbc.com\/future\/story\/20130315-a-better-way- &hellip; <a href=\"https:\/\/www.systemsci.org\/jinshanw\/2013\/03\/18\/%e6%b1%89%e5%ad%97%e7%a0%94%e7%a9%b6%e7%9a%84%e5%b7%a5%e4%bd%9c%e8%a2%abbbcfuture%e4%b8%93%e6%a0%8f%e8%bf%b0%e8%af%84\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201c\u6c49\u5b57\u7814\u7a76\u7684\u5de5\u4f5c\u88abBBCFuture\u4e13\u680f\u8ff0\u8bc4\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":[16],"_links":{"self":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/552"}],"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=552"}],"version-history":[{"count":33,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/552\/revisions"}],"predecessor-version":[{"id":5459,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/552\/revisions\/5459"}],"wp:attachment":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/media?parent=552"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/categories?post=552"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/tags?post=552"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}