{"id":10853,"date":"2018-09-06T01:00:00","date_gmt":"2018-09-05T17:00:00","guid":{"rendered":"http:\/\/swarma.org\/%e4%bb%8e%e6%8b%93%e6%89%91%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%88%b0%e5%8e%8b%e7%bc%a9%e6%84%9f%e7%9f%a5-%e5%a4%8d%e6%9d%82%e6%95%b0%e6%8d%ae%e5%a4%84%e7%90%86%e6%96%b0%e8%b4%b5\/"},"modified":"2018-12-05T13:52:53","modified_gmt":"2018-12-05T05:52:53","slug":"%e4%bb%8e%e6%8b%93%e6%89%91%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90%e5%88%b0%e5%8e%8b%e7%bc%a9%e6%84%9f%e7%9f%a5-%e5%a4%8d%e6%9d%82%e6%95%b0%e6%8d%ae%e5%a4%84%e7%90%86%e6%96%b0%e8%b4%b5","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=10853","title":{"rendered":"\u4ece\u62d3\u6251\u6570\u636e\u5206\u6790\u5230\u538b\u7f29\u611f\u77e5\u2014\u2014\u590d\u6742\u6570\u636e\u5904\u7406\u65b0\u8d35"},"content":{"rendered":"
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\u5bfc\u8bed<\/span><\/strong><\/span><\/section>\n
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\u79d1\u5b66\u6570\u636e\u96c6\u5c06\u53d8\u5f97\u66f4\u52a0\u52a8\u6001\u800c\u590d\u6742\uff0c\u672a\u6765\u7684\u6570\u636e\u5904\u7406\uff0c\u4e9f\u5f85\u53d1\u660e\u80fd\u4e0e\u5fae\u79ef\u5206\u76f8\u63d0\u5e76\u8bba\u7684\u9769\u547d\u5f0f\u6570\u5b66\u65b0\u6280\u672f\uff0c\u800c\u51e0\u4f55\u5b66\u6216\u8bb8\u53ef\u4ee5\u4e3a\u6b64\u63d0\u4f9b\u601d\u8def\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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\u7f16\u8bd1\uff1a\u96c6\u667a\u4ff1\u4e50\u90e8\u7ffb\u8bd1\u7ec4<\/span><\/p>\n

\u6765\u6e90\uff1aquantamagazine<\/span><\/p>\n

\u539f\u9898\uff1aThe mathematical shape of things to come<\/span><\/p>\n<\/blockquote>\n

\n<\/p>\n
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\u590d\u6742\u201c\u5927\u6570\u636e\u201d\u96be\u9898<\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\u5723\u5854\u83f2\u7814\u7a76\u6240\u5e94\u7528\u6570\u5b66\u548c\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u5458 Simon DeDeo \u9047\u5230\u4e86\u4e00\u4e2a\u95ee\u9898\u3002<\/span><\/p>\n

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\u4ed6\u5728\u5408\u4f5c\u7814\u7a76\u4e00\u4e2a\u65b0\u9879\u76ee\uff0c\u5206\u6790\u6765\u81ea\u4f26\u6566\u8001\u8d1d\u5229\u6863\u6848\u9986\u7684300 \u5e74\u6765\u82f1\u683c\u5170\u548c\u5a01\u5c14\u58eb\u7684\u4e2d\u592e\u5211\u4e8b\u6cd5\u9662\u8bb0\u5f55\u7684\u6570\u636e\u3002\u5f53\u7136\uff0c\u7b80\u5355\u5e38\u89c1\u7684 Excel \u683c\u5f0f\u4e2d\u6709\u6e05\u6670\u7684\u6570\u636e\uff0c\u5305\u62ec\u6bcf\u4e2a\u6848\u4f8b\u7684\u8d77\u8bc9\uff0c\u5224\u51b3\u548c\u5224\u5211\u7b49\u53d8\u91cf\u3002\u4f46\u5176\u4e2d\u8fd8\u5305\u62ec\u5b8c\u6574\u7684\u5ead\u5ba1\u8bb0\u5f55\uff0c\u4e0d\u5230200,000<\/strong>\u6b21\u5ba1\u5224\u8bb0\u5f55\u4e86\u603b\u8ba1\u7ea6\u4e3a1000 \u4e07\u5b57<\/strong>\u7684\u6570\u636e\u3002<\/span><\/p>\n

\n

\u201c\u4f60\u5230\u5e95\u8be5\u5982\u4f55\u5206\u6790\u8fd9\u4e9b\u6570\u636e\uff1f\u201d<\/span><\/p>\n

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DeDeo \u60f3\u77e5\u9053\u8fd9\u4e2a\u95ee\u9898\u7b54\u6848\u3002\u6570\u636e\u96c6\u7684\u5927\u5c0f\u5e76\u6ca1\u90a3\u4e48\u53ef\u6015; \u6839\u636e\u5927\u6570\u636e\u6807\u51c6\uff0c\u6570\u636e\u96c6\u7684\u5927\u5c0f\u975e\u5e38\u5bb9\u6613\u5904\u7406\u3002<\/span>\u95ee\u9898\u5728\u4e8e\u4ed6\u4eec\u7f3a\u4e4f\u7ed3\u6784\uff0c\u5e76\u4e14\u975e\u5e38\u7684\u590d\u6742\u3002<\/span><\/strong><\/p>\n

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\u8fd9\u79cd\u201c\u5927\u6570\u636e\u201d\u770b\u8d77\u6765\u4e0d\u50cf\u8fd9\u4f4d\u524d\u7269\u7406\u5b66\u5bb6\u5728\u4ee5\u524d\u5728\u804c\u4e1a\u751f\u6daf\u4e2d\u9047\u5230\u7684\u4f20\u7edf\u6570\u636e\u96c6\uff0c\u4f20\u7edf\u7684\u7814\u7a76\u89c4\u8303\u8981\u6c42\u63d0\u51fa\u4e00\u4e2a\u5047\u8bbe\uff0c\u5e76\u786e\u5b9a\u9700\u8981\u6d4b\u91cf\u4ec0\u4e48\uff0c\u7136\u540e\u6784\u5efa\u4e00\u4e2a\u88c5\u7f6e\uff0c\u6765\u8fdb\u884c\u7cbe\u786e\u7684\u6d4b\u91cf\u3002<\/span><\/p>\n

\n

\u201c\u5728\u7269\u7406\u5b66\u4e2d\uff0c\u901a\u5e38\u53ea\u4f1a\u6709\u4e00\u79cd\u7c7b\u578b\u7684\u6570\u636e\uff0c\u5e76\u4e14\u4f60\u5bf9\u6574\u4e2a\u7cfb\u7edf\u7684\u4e86\u89e3\u975e\u5e38\u5168\u9762\u3002\u201dDeDeo \u8bf4\u9053\u3002\u201c\u73b0\u5728\u6211\u4eec\u4ece\u751f\u7269\u7cfb\u7edf\u548c\u4eba\u7c7b\u793e\u4f1a\u7cfb\u7edf\u4e2d\u6536\u96c6\u4e86\u591a\u79cd\u5f62\u6001\u7684\u65b0\u6570\u636e\uff0c\u751a\u81f3\u5728\u6211\u4eec\u63d0\u51fa\u5047\u8bbe\u4e4b\u524d\uff0c\u5c31\u5df2\u7ecf\u6536\u96c6\u4e86\u6570\u636e\u3002\u201d<\/span><\/p>\n

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\u7eb7\u6742\u4e14\u4ee4\u4eba\u60ca\u8bb6\u7684\u9ad8\u7ef4\u5ea6\u6570\u636e\uff0c\u7b49\u5f85\u7740\u88ab\u4eba\u67e5\u8be2\u3002\u4f46\u662f\u5f53\u79d1\u5b66\u89c4\u8303\u4ece\u4e00\u5f00\u59cb\u5c31\u88ab\u98a0\u8986\uff0c\u8c01\u53c8\u77e5\u9053\u8be5\u63d0\u51fa\u4ec0\u4e48\u6837\u7684\u95ee\u9898\u5462\uff1f<\/span><\/p>\n

\n

DeDeo\u4e0d\u662f\u552f\u4e00\u88ab\u8fd9\u4e9b\u6311\u6218\u6240\u56f0\u6270\u7684\u7814\u7a76\u5458\u3002\u65e0\u8bba\u662f\u5904\u7406\u75c5\u5386\u3001\u57fa\u56e0\u7ec4\u6d4b\u5e8f\u3001\u5927\u8111\u4e2d\u7684\u795e\u7ecf\u7f51\u7edc\u3001\u5929\u4f53\u7269\u7406\u5b66\u3001\u5386\u53f2\u6863\u6848\u8fd8\u662f\u793e\u4ea4\u7f51\u7edc\uff0c\u5728\u6bcf\u4e2a\u5b66\u79d1\u4e2d\uff0c\u6570\u636e\u96c6\u90fd\u53d8\u5f97\u8d8a\u6765\u8d8a\u5927\u3001\u8d8a\u6765\u8d8a\u590d\u6742\u3002<\/strong><\/span><\/p>\n

<\/strong><\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

<\/span>\u00a9wired<\/span><\/strong><\/p>\n

<\/span><\/p>\n

Alessandro Vespignani \u662f\u4e1c\u5317\u5927\u5b66\u7684\u7269\u7406\u5b66\u5bb6\uff0c\u4ed6\u4e13\u95e8\u5229\u7528\u793e\u4ea4\u7f51\u7edc\u7684\u529b\u91cf\u6765\u6a21\u62df\u75be\u75c5\u7206\u53d1\u3001\u80a1\u7968\u5e02\u573a\u884c\u4e3a\u3001\u96c6\u4f53\u793e\u4f1a\u52a8\u6001\u548c\u9009\u4e3e\u7ed3\u679c\uff0c\u4ed6\u5df2\u7ecf\u4ece Twitter \u7b49\u793e\u4ea4\u7f51\u7edc\u6536\u96c6\u4e86 TB \u7ea7\u7684\u6570\u636e\uff0c\u51e0\u4e4e\u6240\u6709\u8fd9\u4e9b\u6570\u636e\u90fd\u662f\u975e\u7ed3\u6784\u5316\u7684\u539f\u59cb\u6570\u636e\u3002\u201c\u6211\u4eec\u6ca1\u6709\u63a7\u5236\u5b9e\u9a8c\u6761\u4ef6\uff0c\u6240\u4ee5\u6211\u4eec\u4e0d\u77e5\u9053\u6211\u4eec\u4f1a\u5f97\u5230\u4ec0\u4e48\u6837\u7684\u6570\u636e\u3002\u201d<\/span><\/p>\n

\n

\u4eca\u5929\u7684\u5927\u6570\u636e\u5145\u6ee1\u6742\u97f3\uff0c\u7f3a\u4e4f\u7ed3\u6784\uff0c\u5e76\u4e14\u52a8\u6001\u591a\u53d8\u3002\u8fd9\u4e9b\u6570\u636e\u53ef\u80fd\u5df2\u7ecf\u635f\u574f\uff0c\u6216\u8005\u4e0d\u5b8c\u6574\u3002<\/span><\/p>\n

\n<\/p>\n
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\u5c1d\u8bd5\u89e3\u51b3<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n

\u4fc4\u514b\u62c9\u8377\u9a6c\u5dde\u7acb\u5927\u5b66\u6570\u5b66\u5bb6 Jesse Johnson \u8bf4:\u201c\u6211\u4eec\u8ba4\u4e3a\u6570\u636e\u662f\u7531\u5411\u91cf\u7ec4\u6210\u7684\u2014\u2014\u6570\u5b57\u548c\u7ef4\u5ea6\u6784\u6210\u7684\u5e8f\u5217\u3002\u201d\u4f46\u6765\u81ea Twitter \u6216 Facebook \u7684\u6570\u636e\uff0c\u6216\u8005\u4f26\u6566\u8001\u8d1d\u5229\u6863\u6848\u9986\u7684\u5ead\u5ba1\u8bb0\u5f55\uff0c\u770b\u8d77\u6765\u90fd\u4e0d\u50cf\u5411\u91cf\uff0c\u8fd9\u610f\u5473\u7740\u7814\u7a76\u4eba\u5458\u9700\u8981\u65b0\u7684\u6570\u5b66\u5de5\u5177\uff0c\u4ee5\u4fbf\u4e8e\u4ece\u6570\u636e\u96c6\u4e2d\u6536\u96c6\u6709\u7528\u7684\u4fe1\u606f\u3002<\/span><\/p>\n

<\/span><\/p>\n

Johnson \u8bf4\uff1a\u201c\u8981\u4e48\u4f60\u9700\u8981\u66f4\u590d\u6742\u7684\u65b9\u6cd5\u5c06\u5b83\u8f6c\u5316\u4e3a\u5411\u91cf\uff0c\u8981\u4e48\u4f60\u9700\u8981\u63d0\u51fa\u4e00\u79cd\u66f4\u901a\u884c\u7684\u65b9\u6cd5\u6765\u5206\u6790\u5b83\u4eec\u3002\u201d<\/span><\/p>\n

\n

Vespignani \u4f7f\u7528\u5404\u79cd\u6570\u5b66\u5de5\u5177\u548c\u6280\u672f\u6765\u7406\u89e3\u4ed6\u7684\u6570\u636e\uff0c\u5305\u62ec\u6587\u672c\u8bc6\u522b\u3002\u4e3a\u4e86\u7ed9\u4efb\u4f55\u4ed6\u60f3\u5c1d\u8bd5\u7684\u7cfb\u7edf\u5efa\u6a21\uff0c\u4ed6\u90fd\u9700\u8981\u5728\u6570\u4ee5\u767e\u4e07\u8ba1\u7684\u63a8\u6587\u4e2d\u67e5\u627e\u76f8\u5173\u7684\u8bcd\u6c47\u3002<\/span><\/p>\n

<\/span><\/p>\n

DeDeo \u5728\u4f26\u6566\u8001\u8d1d\u5229\u6863\u6848\u9986\u9879\u76ee\u4e2d\u4f7f\u7528\u4e86\u7c7b\u4f3c\u7684\u65b9\u6cd5\u3002\u4ed6\u7684\u89e3\u51b3\u65b9\u6848\u662f\u901a\u8fc7\u4f7f\u7528\u5173\u952e\u5b57\u548c\u540c\u4e49\u8bcd\u5c0610\u4e07\u4e2a\u5355\u8bcd\u5206\u62101000\u4e2a\u7c7b\u522b\uff0c\u4ee5\u6b64\u6765\u7f29\u51cf\u4ed6\u521d\u59cb\u7684\u6570\u636e\u96c6\u3002\u73b0\u5728\uff0c\u4f60\u5df2\u7ecf\u628a\u8fd9\u4e2a\u8bd5\u9a8c\u53d8\u6210\u4e86\u4e00\u4e2a1000\u7ef4\u7a7a\u95f4\u4e2d\u7684\u4e00\u4e2a\u70b9\uff0c\u544a\u8bc9\u4f60\u8fd9\u4e2a\u8bd5\u9a8c\u662f\u5173\u4e8e\u53cb\u8c0a\u3001\u4fe1\u4efb\u8fd8\u662f\u670d\u88c5\uff0c\u201d\u4ed6\u8fd9\u6837\u89e3\u91ca\u9053\u3002<\/span><\/p>\n

\n<\/p>\n
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\u65b0\u601d\u8def<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n

\u50cf DeDeo \u548c Vespignani \u8fd9\u6837\u7684\u79d1\u5b66\u5bb6\u5f88\u597d\u5730\u5229\u7528\u4e86\u8fd9\u79cd\u96f6\u6572\u788e\u6253\u7684\u65b9\u6cd5( picemeal approach )\u53bb\u5206\u6790\u5927\u6570\u636e\uff0c\u4f46\u662f\u8036\u9c81\u5927\u5b66\u6570\u5b66\u5bb6 Ronald Coifman \u8bf4\uff0c<\/span>\u771f\u6b63\u9700\u8981\u7684\u662f\u5927\u6570\u636e\u9886\u57df\u4e2d\u725b\u987f\u5f0f\u7684\u9769\u547d<\/strong><\/span>\uff0c\u4ed6\u8ba4\u4e3a\u8fd9\u4e0e17\u4e16\u7eaa\u53d1\u660e\u7684\u5fae\u79ef\u5206\u4e0d\u76f8\u4e0a\u4e0b\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u4ec5\u4ec5\u6536\u96c6\u548c\u5b58\u50a8\u5927\u6570\u636e\u662f\u4e0d\u591f\u7684; \u5fc5\u987b\u8981\u6709\u660e\u667a\u7684\u8bbe\u8ba1\uff0c\u8fd9\u9700\u8981\u6709\u5168\u5c40\u7684\u6846\u67b6\u3002<\/span><\/p>\n

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\u201c\u6211\u4eec\u5df2\u7ecf\u638c\u63e1\u4e86\u6240\u6709\u7684\u62fc\u56fe\u788e\u7247\u2014\u2014\u73b0\u5728\u6211\u4eec\u8981\u5982\u4f55\u7ec4\u88c5\u5b83\u4eec\u624d\u80fd\u770b\u5230\u5927\u56fe\u666f\uff08\u5168\u5c40\uff09\uff1f\u201d\u4ed6\u8bf4\uff0c\u201c\u4f60\u80fd\u5728\u4e00\u4e2a\u5fae\u5c0f\u7684\u5c40\u90e8\u5c3a\u5ea6\u4e0a\u5f97\u5230\u4e00\u4e2a\u975e\u5e38\u7b80\u5355\u7684\u6a21\u578b\uff0c\u4f46\u201c\u5fae\u79ef\u5206\u5f0f\u201d\u7684\u53d1\u660e\u53ef\u4ee5\u8ba9\u4f60\u7528\u5f88\u591a\u7b80\u5355\u7684\u6a21\u578b\u5e76\u5c06\u5b83\u4eec\u6574\u5408\u5230\u4e00\u4e2a\u5927\u56fe\u666f\u4e2d\u3002\u201d<\/span><\/p>\n

<\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u00a9wired<\/span><\/strong><\/p>\n

<\/span><\/p>\n

\u540c\u6837\uff0cCoifman \u8ba4\u4e3a\u73b0\u4ee3\u6570\u5b66\u2014\u2014\u7279\u522b\u662f\u51e0\u4f55\u5b66\u2014\u2014\u53ef\u4ee5\u5e2e\u52a9\u8bc6\u522b\u6f5c\u5728\u7684\u5927\u6570\u636e\u7684\u5168\u5c40\u7ed3\u6784\u3002\u4f8b\u5982\uff0c\u6570\u636e\u96c6\u53ef\u4ee5\u6309\u5730\u7406\u6216\u6c14\u5019\u6765\u7ec4\u7ec7\uff0c\u8fd9\u6837\uff0c\u6bcf\u4e00\u4e2a\u6570\u636e\u96c6\u90fd\u4f1a\u4ea7\u751f\u4e00\u5e45\u5f62\u72b6\u975e\u5e38\u4e0d\u540c\u7684\u5730\u56fe\u3002<\/span><\/p>\n

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\u8282\u70b9\u4e0e\u8fde\u8fb9<\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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\n<\/section>\n<\/section>\n<\/section>\n<\/h1>\n

\u4e03\u6865\u95ee\u9898\uff1a\u4f4d\u4e8e\u6ce2\u7f57\u7684\u6d77\u7684\u666e\u9c81\u58eb\u57ce\u5e02 K\u00f6nigsberg\uff08\u73b0\u5728\u7684 Kalingrad\uff09\u7531 Pregel \u6cb3\u5212\u5206\u4e3a\u56db\u4e2a\u4e0d\u540c\u7684\u5730\u7406\u533a\u57df\uff0c\u4e03\u4e2a\u6865\u6881\u8fde\u63a5\u8fd9\u4e9b\u533a\u57df\u300218\u4e16\u7eaa\uff0c\u6570\u5b66\u5bb6\u83b1\u6602\u54c8\u5fb7\u00b7\u6b27\u62c9\u5bf9\u90a3\u4e2a\u65f6\u4ee3\u7684\u4e00\u4e2a\u6d41\u884c\u96be\u9898\u611f\u5230\u56f0\u60d1\u2014\u2014<\/span><\/p>\n

<\/span><\/p>\n

\u6709\u6ca1\u6709\u53ef\u80fd\u8d70\u8fc7 K\u00f6nigsberg \u7684\u6240\u6709\u6865\u6881\uff0c\u6bcf\u5ea7\u6865\u53ea\u7a7f\u8fc7\u4e00\u6b21\uff0c\u6700\u7ec8\u8fd8\u80fd\u56de\u5230\u8d77\u70b9\uff1f<\/span><\/p>\n

<\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u4e03\u6865\u95ee\u9898 | sohu<\/span><\/strong><\/p>\n

<\/span><\/p>\n

\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u6b27\u62c9\u5c06\u95ee\u9898\u7b80\u5316\u4e3a\u8282\u70b9\u548c\u8fb9\uff0c\u56db\u7247\u533a\u57df\u662f\u56db\u4e2a\u8282\u70b9\uff0c\u6865\u6881\u7528\u8282\u70b9\u95f4\u7684\u8fde\u8fb9\u8868\u793a\u3002\u4ed6\u53d1\u73b0\u4e3a\u4e86\u7a7f\u8fc7\u6240\u6709\u7684\u6865\u6881\uff0c\u6bcf\u4e00\u4e2a\u533a\u57df\u90fd\u9700\u8981\u8fde\u63a5\u5076\u6570\u4e2a\u6865\u6881\uff0c\u56e0\u4e3a\u5728 K\u00f6nigsberg \u4e0d\u662f\u8fd9\u6837\u7684\u60c5\u5f62\uff0c\u6240\u4ee5\u8fd9\u6837\u7684\u65c5\u7a0b\u662f\u4e0d\u53ef\u80fd\u7684\u3002<\/span><\/p>\n

\n

\n

\u8c1c\u5e95\u540e\u6587\u63ed\u6653<\/span><\/p>\n<\/blockquote>\n

\n

\u6b27\u62c9\u4ece\u8fd9\u4e2a\u8c1c\u9898\u4e2d\u53d1\u73b0\u7684\u6700\u91cd\u8981\u7684\u6d1e\u89c1\u5c31\u662f\uff0c\u6865\u6881\u7684\u4f4d\u7f6e\u548c\u89e3\u51b3\u65b9\u6cd5\u65e0\u5173\uff1b\u91cd\u8981\u7684\u95ee\u9898\u662f\u6865\u6881\u7684\u6570\u91cf\u4ee5\u53ca\u5b83\u4eec\u7684\u8fde\u63a5\u65b9\u5f0f\u3002\u6570\u5b66\u5bb6\u4eec\u610f\u8bc6\u5230\uff0c\u8fd9\u662f\u73b0\u4ee3\u62d3\u6251\u5b66\u7684\u840c\u82bd\u3002<\/span><\/p>\n

\n<\/p>\n
\n
\n
<\/p>\n

\uff08TDA\uff09<\/strong><\/span><\/p>\n

\u62d3\u6251\u6570\u636e\u5206\u6790\u539f\u7406<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n

\u65af\u5766\u798f\u5927\u5b66\u7684\u6570\u5b66\u5bb6 Gunnar Carlsson \u4ee5\u6b27\u62c9\u7684\u505a\u6cd5\u4e3a\u53c2\u7167\uff0c\u5c06\u5e9e\u5927\u800c\u590d\u6742\u7684\u5927\u6570\u636e\u96c6\u8868\u793a\u4e3a\u8282\u70b9\u548c\u8fb9\u7684\u7f51\u7edc\uff0c\u4ec5\u57fa\u4e8e\u6570\u636e\u70b9\u7684\u76f8\u4f3c\u6027\u521b\u5efa\u4e86\u76f4\u89c2\u7684\u6570\u636e\u56fe\u793a\uff1b\u8fd9\u4f7f\u7528\u8ddd\u79bb\u4f5c\u4e3a\u8f93\u5165\uff0c\u8f93\u51fa\u4e3a\u62d3\u6251\u5f62\u72b6\u6216\u7f51\u7edc\u3002<\/span><\/p>\n

<\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u65af\u5766\u798f\u5927\u5b66\u7684\u6570\u5b66\u5bb6Gunnar Carlsson\uff0c\u901a\u8fc7\u62d3\u6251\u6570\u636e\u5206\u6790\uff0c\u627e\u5bfb\u590d\u6742\u4e14\u975e\u7ed3\u6784\u7684\u6570\u636e\u4e2d\u7684\u7ed3\u6784\u3002<\/span><\/strong><\/p>\n

<\/strong><\/span><\/p>\n

\n

\u9898\u76ee\uff1a<\/span><\/h1>\n

Extracting insights from the shape of complex data using topology<\/span><\/h1>\n

\u5730\u5740\uff1a<\/span><\/p>\n

https:\/\/www.nature.com\/articles\/srep01236.ris<\/span><\/p>\n<\/blockquote>\n

<\/strong><\/span><\/p>\n

\u6570\u636e\u70b9\u8d8a\u76f8\u4f3c\uff0c\u5b83\u4eec\u5728\u7ed3\u679c\u56fe\u793a\u4e0a\u5c31\u8d8a\u63a5\u8fd1\uff1b\u4ed6\u4eec\u8d8a\u4e0d\u540c\uff0c\u4ed6\u4eec\u5728\u56fe\u793a\u4e0a\u7684\u8ddd\u79bb\u5c31\u8d8a\u8fdc\u3002<\/strong><\/span><\/p>\n

<\/span><\/p>\n

\u8fd9\u662f\u62d3\u6251\u6570\u636e\u5206\u6790( TDA )\u7684\u672c\u8d28\u3002<\/span><\/p>\n

<\/span><\/p>\n

TDA \u662f\u673a\u5668\u5b66\u4e60\u7684\u4ea7\u7269\uff0c\u800c\u673a\u5668\u5b66\u4e60\u5219\u662f\u5927\u6570\u636e\u5206\u6790\u4e2d\u4f7f\u7528\u7684\u4e00\u5957\u6807\u51c6\u5de5\u5177\u3002\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u8bb8\u591a\u65b9\u6cd5\u5728\u5904\u7406\u77e9\u9635\u6570\u636e\uff08\u5982 Excel \u8868\u683c\uff09\u65f6\u6700\u6709\u6548\uff0c\u4f46\u662f\u5982\u679c\u4f60\u7684\u6570\u636e\u96c6\u4e0d\u9002\u5408\u8fd9\u4e2a\u6846\u67b6\uff0c\u600e\u4e48\u529e\uff1f<\/span><\/p>\n

<\/span><\/p>\n

Carlsson \u8bf4:\u201c\u62d3\u6251\u6570\u636e\u5206\u6790\u662f\u4e00\u79cd\u4ece\u975e\u7ed3\u6784\u5316\u6570\u636e\u4e2d\u83b7\u53d6\u7ed3\u6784\u5316\u6570\u636e\u7684\u65b9\u6cd5\uff0c\u8fd9\u6837\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u53ef\u4ee5\u66f4\u76f4\u63a5\u5730\u5bf9\u5176\u8fdb\u884c\u64cd\u4f5c\u3002\u201d<\/span><\/p>\n

<\/span><\/p>\n

\n

\u62d3\u6251\u65b9\u6cd5\u5f88\u50cf\u5728\u5899\u4e0a\u6295\u5c04\u4e09\u7ef4\u7269\u4f53\u7684\u4e8c\u7ef4\u6295\u5f71\u3002\u2014\u2014 Gunnar Carlsson<\/span><\/p>\n<\/blockquote>\n

<\/span><\/p>\n

\u5c31\u50cf\u6b27\u62c9\u6865\u4e00\u6837\uff0c\u8fd9\u4e00\u5207\u90fd\u4e0e\u8fde\u8fb9\u6709\u5173\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u793e\u4ea4\u7f51\u7edc\u63cf\u7ed8\u4e86\u4eba\u4e0e\u4eba\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4e00\u4e2a\u96c6\u7fa4\u7684\u540d\u5b57(\u8282\u70b9)\u548c\u8054\u7cfb(\u8fb9)\u8bf4\u660e\u4e86\u6211\u4eec\u662f\u5982\u4f55\u8054\u7cfb\u5728\u4e00\u8d77\u7684\u3002\u5c06\u4f1a\u6709\u4e0e\u5bb6\u5ead\u3001\u5927\u5b66\u540c\u5b66\u3001\u804c\u573a\u7b49\u76f8\u5173\u7684\u96c6\u7fa4\u3002<\/span><\/p>\n

<\/span><\/p>\n

Carlsson \u8ba4\u4e3a\u8fd9\u79cd\u65b9\u6cd5\u4e5f\u53ef\u4ee5\u6269\u5c55\u5230\u5176\u4ed6\u79cd\u7c7b\u7684\u6570\u636e\u96c6\uff0c\u4f8b\u5982\u57fa\u56e0\u7ec4\u5e8f\u5217\u3002\u201c\u4eba\u4eec\u53ef\u4ee5\u5c06\u5e8f\u5217\u6392\u5217\u5728\u4e00\u8d77\uff0c\u5e76\u8ba1\u7b97\u51fa\u5b83\u4eec\u4e0d\u540c\u4e4b\u5904\u7684\u6570\u91cf\uff0c\u201d\u4ed6\u8fd9\u6837\u89e3\u91ca\uff0c\u201c\u8fd9\u4e2a\u6570\u5b57\u53ef\u4ee5\u8861\u91cf\u5b83\u4eec\u7684\u76f8\u4f3c\u5ea6\uff0c\u4f60\u53ef\u4ee5\u5c06\u5176\u7f16\u7801\u4e3a\u8ddd\u79bb\u51fd\u6570\u3002\u201d<\/span><\/p>\n

\n

\u8fd9\u4e2a\u60f3\u6cd5\u5c31\u662f\u5c06\u9ad8\u7ef4\u5ea6\u7684\u5927\u578b\u539f\u59cb\u6570\u636e\uff0c\u538b\u7f29\u6210\u4f4e\u7ef4\u5ea6\u7684\u6570\u636e\uff0c\u540c\u65f6\u53c8\u4e0d\u4f1a\u727a\u7272\u76f8\u5173\u7684\u62d3\u6251\u7ed3\u6784\u3002<\/strong><\/span><\/p>\n

<\/strong><\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u4e03\u6865\u95ee\u9898\u89e3\u51b3\u601d\u8def\uff1a\u6b27\u62c9\u5c06\u5176\u7b80\u5316\u4e3a\u201c\u4e00\u7b14\u753b\u201d\u95ee\u9898 | cnblogs<\/span><\/strong><\/span><\/p>\n

<\/span><\/p>\n

\u5728\u7406\u60f3\u60c5\u51b5\u4e0b\uff0c\u8fd9\u5c06\u63ed\u793a\u6570\u636e\u7684\u57fa\u672c\u7ed3\u6784\u3002\u7406\u8bba\u4e0a\u7403\u4f53\u5b58\u5728\u4e8e\u6bcf\u4e00\u4e2a\u7a7a\u95f4\uff0c\u4f46\u662f\u6211\u4eec\u53ea\u80fd\u591f\u7406\u89e3\u4e09\u7ef4\u7a7a\u95f4\u4e2d\u7684\u7403\u4f53\uff0c\u7136\u800c\uff0c\u6709\u4e86\u201c\u6570\u5b66\u773c\u955c\u201d\uff0c\u4eba\u4eec\u53ef\u4ee5\u901a\u8fc7\u5b83\u6536\u96c6\u5173\u4e8e\u8fd9\u4e9b\u9ad8\u7ef4\u5f62\u72b6\u7684\u4fe1\u606f\u3002<\/span><\/p>\n

<\/span><\/p>\n

Carlsson\u8bf4\uff1a\u201c\u4e00\u4e2a\u5f62\u72b6\u6709\u65e0\u6570\u4e2a\u70b9\uff0c\u8fd9\u4e9b\u70b9\u4e4b\u95f4\u6709\u7684\u8ddd\u79bb\u6709\u65e0\u7a77\u591a\u4e2a\uff0c\u4f46\u662f\u5982\u679c\u6211\u4eec\u613f\u610f\u505a\u51fa\u4e00\u4e9b\u727a\u7272\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u4e00\u4e2a\u516d\u8fb9\u5f62\u6765\u8868\u793a\u4e00\u4e2a\u5706\uff0c\u8fd9\u4ecd\u7136\u662f\u4e00\u4e2a\u53ef\u4ee5\u88ab\u8bc6\u522b\u7684\u5706\u3002\u201d<\/span><\/p>\n

\n<\/p>\n
\n
\n
<\/p>\n

TDA\u7684\u5e94\u7528<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n

Ayasdi\u516c\u53f8<\/span><\/strong><\/p>\n

<\/span><\/p>\n

\u8fd9\u6b63\u662f Carlsson \u7684\u521b\u4e1a\u516c\u53f8 Ayasdi \u80fd\u63d0\u4f9b\u7684\u6280\u672f\u7684\u57fa\u7840\uff0c\u5c31\u50cf\u5730\u94c1\u7ebf\u8def\u56fe\u4e00\u6837\uff0c\u516c\u53f8\u80fd\u628a\u9ad8\u7ef4\u7684\u6570\u636e\u538b\u7f29\u81f3\u66f4\u5c0f\u7684\u7247\u6bb5\u8868\u793a\u51fa\u6765\u3002\u8fd9\u6837\u7684\u5730\u56fe\u53ef\u80fd\u65e0\u6cd5\u51c6\u786e\u5730\u8868\u793a\u57ce\u5e02\u7684\u6bcf\u4e2a\u7ec6\u679d\u672b\u8282\u7684\u7279\u5f81\uff0c\u4f46\u662f\u5b83\u80fd\u7a81\u51fa\u4e3b\u8981\u533a\u57df\uff0c\u4ee5\u53ca\u8fd9\u4e9b\u533a\u57df\u7684\u8fde\u63a5\u65b9\u5f0f\u3002<\/strong><\/span><\/p>\n

<\/span><\/p>\n

\n

https:\/\/www.ayasdi.com\/<\/span><\/p>\n<\/blockquote>\n

\n

\"\u96c6\u667a\"<\/p>\n

<\/span><\/p>\n

\u4f7f\u7528\u8fd9\u4e2a\u8f6f\u4ef6\uff0c\u5f97\u5230\u7684\u56fe\u793a\u5e76\u4e0d\u4ec5\u4ec5\u662f\u4e00\u4e2a\u70ab\u76ee\u7684\u6570\u636e\u53ef\u89c6\u5316\u56fe\u7247\uff0c\u5b83\u8fd8\u80fd\u591f\u8ba9\u7528\u6237\u5c31\u50cf\u4f7f\u7528 Photoshop \u6216 Illustrator \u4e00\u6837\u76f4\u63a5\u4e0e\u6570\u636e\u96c6\u4ea4\u4e92<\/strong>\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u201c\u8fd9\u610f\u5473\u7740\u6211\u4eec\u4e0d\u4f1a\u5b8c\u5168\u5fe0\u5b9e\u4e8e\u539f\u59cb\u6570\u636e\uff0c\u4f46\u662f\u5982\u679c\u4f4e\u7ef4\u5ea6\u7684\u6570\u636e\u4e2d\u5b58\u5728\u62d3\u6251\u7279\u5f81\uff0c\u8fd9\u8868\u660e\u539f\u59cb\u6570\u636e\u4e5f\u6709\u7c7b\u4f3c\u7279\u5f81\u3002\u201dCarlsson \u8bf4\u3002<\/span><\/span><\/p>\n

\n

\u5982\u679c\u4f60\u7684\u9ad8\u7ef4\u6570\u636e\u96c6\u6709155\u4e2a\u53d8\u91cf\uff0c\u5e94\u5982\u4f55\u5728\u6240\u6709\u7684\u53d8\u91cf\u4e2d\u7740\u624b\u67e5\u627e\u5b83\uff1f<\/span><\/p>\n

<\/span><\/p>\n

Carlsson\u628a\u8fd9\u9879\u4efb\u52a1\u6bd4\u55bb\u6210\u6478\u9ed1\u5728\u8f66\u5e93\u91cc\u627e\u9524\u5b50\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u5982\u679c\u4f60\u552f\u4e00\u7684\u5de5\u5177\u662f\u624b\u7535\u7b52\uff0c\u4f60\u6240\u80fd\u505a\u7684\u4e8b\u60c5\u5c31\u662f\u4e00\u6b21\u7167\u4eae\u8f66\u5e93\u7684\u4e00\u5c0f\u90e8\u5206\u5730\u65b9\uff0c\u4f60\u6700\u7ec8\u53ef\u80fd\u4f1a\u627e\u5230\u9524\u5b50\uff0c\u4f46\u662f\u4f60\u5f88\u53ef\u80fd\u4f1a\u5bf9\u8fd9\u6837\u7684\u4f4e\u6548\u7684\u65b9\u6cd5\u5931\u53bb\u8010\u5fc3\u3002<\/span><\/p>\n

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\u800c\u6253\u5f00\u4e00\u76cf\u80fd\u7167\u4eae\u6574\u4e2a\u8f66\u5e93\u7684\u5927\u706f\uff0c\u4f1a\u63d0\u9ad8\u4f60\u7684\u6548\u7387\uff0c\u80fd\u7ed9\u4f60\u63d0\u4f9b\u4e00\u4e2a\u5168\u5c40\u89c6\u89d2\uff0c\u4f60\u4e0d\u4ec5\u4f1a\u53d1\u73b0\u9524\u5b50\uff0c\u8fd8\u4f1a\u610f\u8bc6\u5230\u65c1\u8fb9\u653e\u7740\u4e00\u76d2\u9489\u5b50\uff0c\u800c\u4e4b\u524d\u4f60\u5e76\u6ca1\u6709\u610f\u8bc6\u5230\u4f60\u9700\u8981\u8fd9\u4e9b\u9489\u5b50\u3002<\/span><\/p>\n

<\/span><\/p>\n

Ayasdi \u7684\u6280\u672f\u7c7b\u4f3c\u4e8e\u7167\u4eae\u6574\u4e2a\u8f66\u5e93\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u5904\u7406\u57fa\u56e0\u7ec4\u6570\u636e\u96c6<\/strong><\/span><\/p>\n

<\/span><\/strong><\/p>\n

\u4f5c\u4e3a\u9a8c\u8bc1\uff0cCarlsson \u548c\u65af\u5766\u798f\u4ee5\u53ca\u666e\u6797\u65af\u987f\u9ad8\u7ea7\u7814\u7a76\u6240\u7684\u5408\u4f5c\u8005\u5c06\u8fd9\u79cd\u65b9\u6cd5\u5e94\u7528\u4e8e\u5341\u591a\u5e74\u524d\u8377\u5170\u4e73\u817a\u764c\u60a3\u8005\u57fa\u56e0\u7ec4\u7814\u7a76\u4e2d\u7684\u4e00\u4e2a\u66f4\u53e4\u8001\u7684\u6570\u636e\u96c6\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u6700\u521d\uff0c\u5b83\u662f\u6807\u51c6\u7684 Excel \u8868\u683c\u5f62\u5f0f\uff0c\u6709 1500 \u5217\u548c 272 \u884c\u5bf9\u5e94\u7740\u53d7\u8bd5\u8005\u63d0\u4f9b\u7684\u57fa\u56e0\u7ec4\u6837\u672c\u3002\u4e00\u65e6\u8fd9\u88ab\u8f6c\u6362\u6210\u7f51\u7edc\uff0c\u4ea7\u751f\u7684\u201c\u56fe\u793a\u201d\u5448\u73b0\u51faY\u5f62\uff0c\u989c\u8272\u7f16\u7801\u6307\u793a\u51fa\u54ea\u4e9b\u53d7\u8bd5\u8005\u5b58\u6d3b\uff08\u84dd\u8272\uff09\u800c\u54ea\u4e9b\u53d7\u8bd5\u8005\u6b7b\u4ea1\uff08\u7ea2\u8272\uff09\u3002\u90a3\u4e9b\u9884\u540e\u7cdf\u7cd5\u7684\u60a3\u8005\u805a\u96c6\u5728Y\u7684\u5de6\u5206\u652f\uff0c\u53f3\u5206\u652f\u4ec5\u7531 8%-9% \u5b58\u6d3b\u8005\u591f\u6210\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u4e00\u65e6\u80fd\u591f\u786e\u5b9a\u8be5\u7fa4\u4f53\uff0c\u9057\u4f20\u5b66\u5bb6\u5c31\u53ef\u4ee5\u66f4\u4ed4\u7ec6\u5730\u5206\u6790\u8fd9\u4e9b\u57fa\u56e0\uff0c\u4ee5\u786e\u5b9a\u6700\u6709\u53ef\u80fd\u662f\u54ea\u4e9b\u57fa\u56e0\u5f71\u54cd\u4e86\u4ed6\u4eec\u7684\u751f\u5b58\u3002<\/span><\/p>\n

\n

\u8be5\u65b9\u6cd5\u8db3\u591f\u7075\u6d3b\uff0c\u53ef\u4ee5\u5e94\u7528\u4e8e\u4e0d\u540c\u7684\u7cfb\u7edf\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u5206\u6790\u7403\u5458\u6f5c\u529b<\/span><\/strong><\/p>\n

<\/span><\/p>\n

Ayasdi \u7684\u5b9e\u4e60\u751f\u4e2d\u6709\u4e00\u4f4d\u662f\u4f11\u65af\u987f\u672c\u5730\u4eba\uff0c\u4e5f\u662f\u4f11\u65af\u987f\u706b\u7bad\u961f\u7684\u7403\u8ff7\u3002\u4ed6\u521b\u5efa\u4e86\u4e00\u4e2a\u5305\u542b 2010 \u5e74\u6240\u6709 NBA \u7403\u5458\u7684\u6570\u636e\u96c6\uff0c\u5e76\u5c06\u4ed6\u4eec\u7684\u8054\u76df\u5e73\u5747\u6570\u5206\u4e3a\u4e03\u4e2a\u7edf\u8ba1\u7c7b\u522b\uff1a\u5f97\u5206\uff0c\u7bee\u677f\uff0c\u52a9\u653b\uff0c\u62a2\u65ad\uff0c\u76d6\u5e3d\uff0c\u5931\u8bef\u548c\u4e2a\u4eba\u72af\u89c4\uff0c\u7cbe\u7ec6\u5316\u5230\u6bcf\u4e00\u5206\u949f\uff0c\u4ee5\u786e\u4fdd\u4e0a\u573a\u65f6\u95f4\u4e0d\u662f\u4e00\u4e2a\u5f71\u54cd\u56e0\u7d20\u3002<\/span><\/p>\n

\n

\n

\u5982\u679c\u4e8b\u5b9e\u8bc1\u660e\uff0c\u4f60\u6240\u6709\u7684\u6570\u636e\u4e2d\u63a9\u85cf\u7740\u4e00\u5934\u7403\u5f62\u7684\u725b\uff0c\u90a3\u4e48 TDA \u5c06\u662f\u4e00\u4e2a\u4e0d\u9519\u7684\u9009\u62e9\uff0c\u5982\u679c\u5b83\u4e0d\u5b58\u5728\uff0c\u4f60\u53c8\u80fd\u505a\u4ec0\u4e48\uff1f\u2014\u2014Benjamin Recht<\/span><\/p>\n<\/blockquote>\n

\n

\u4ed6\u6700\u521d\u5728\u6807\u51c6\u7684 Excel \u8868\u683c\u4e2d\u5448\u73b0\u8fd9\u4e9b\u6570\u636e\uff0c\u7403\u5458\u8868\u793a\u4e3a 400 \u884c\uff0c\u6bcf\u884c\u6570\u636e\u70b9\u6709 7 \u5217\uff0c\u4f46\u662f Ayasdi \u8f6f\u4ef6\u68c0\u6d4b\u5230\u7403\u5458\u6f5c\u5728\u7684\u7edf\u8ba1\u6a21\u5f0f\uff0c\u4e0e\u4ed6\u4eec\u7684\u6bd4\u8d5b\u98ce\u683c\u76f8\u5173\u8054\uff0c\u5e76\u521b\u5efa\u4e86\u8fd9\u4e9b\u8fde\u63a5\u7684\u56fe\u793a\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u6839\u636e\u56fe\u793a\uff0c\u9664\u4e86\u7bee\u7403\u7684\u4e94\u4e2a\u4e3b\u8981\u4f4d\u7f6e\uff08\u63a7\u7403\u540e\u536b\u3001\u6295\u7bee\u540e\u536b\u3001\u5927\u524d\u950b\u3001\u5c0f\u524d\u950b\u548c\u4e2d\u950b\uff09\u4ee5\u5916\uff0c\u8fd8\u670913\u4e2a\u201c\u9690\u85cf\u201d\u4f4d\u7f6e\u3002\u88ab\u4ed6\u79f0\u4e4b\u4e3a\u201c\u6cb9\u6f06\u634d\u536b\u8005\uff08paint protectors\uff09\u201d\u7684\u7403\u5458\u5728\u7bee\u677f\u548c\u62e6\u7f51\u65b9\u9762\u8868\u73b0\u51fa\u8272\uff0c\u4f46\u662f\u4ed6\u4eec\u72af\u89c4\u66f4\u591a\u3002\u201c\u6458\u5206\u6cb9\u6f06\u634d\u536b\u8005(Scoring paint protectors)\u201d\u4e0e\u4e4b\u8fd1\u4f3c\uff0c\u72af\u89c4\u66f4\u5c11\uff0c\u79ef\u5206\u66f4\u591a\u3002\u8fd9\u9879\u5de5\u4f5c\u5728 MIT \u7684\u4f53\u80b2\u5206\u6790\u4f1a\u8bae\u4e0a\u83b7\u5f97\u4e86\u6700\u4f73\u4f53\u80b2\u53d1\u5c55\u5956\uff0c\u90e8\u5206\u539f\u56e0\u5f52\u529f\u4e8e\u5b83\u80fd\u591f\u8bc6\u522b\u6709\u6f5c\u529b\u800c\u88ab\u4f4e\u4f30\u7684\u8fd0\u52a8\u5458\u3002<\/span><\/p>\n

\n<\/p>\n
\n
\n
<\/p>\n

TDA\u7684\u5c40\u9650<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n

\u62d3\u6251\u65b9\u6cd5\u5f88\u50cf\u5728\u5899\u4e0a\u6295\u5c04\u4e09\u7ef4\u7269\u4f53\u7684\u4e8c\u7ef4\u6295\u5f71\uff1a\u8fd9\u80fd\u591f\u4f7f\u5f97\u6211\u4eec\u7528\u6295\u5f71\u964d\u7ef4\u7684\u65b9\u6cd5\u53ef\u89c6\u5316\u5927\u89c4\u6a21\u7684\u9ad8\u7ef4\u6570\u636e\u3002\u4f46\u662f\uff0c\u5c31\u50cf\u76ae\u5f71\u620f\u6240\u5236\u9020\u51fa\u6765\u7684\u5f71\u5b50\uff0c\u6211\u4eec\u80fd\u591f\u770b\u5230\u5e76\u4e0d\u771f\u5b9e\u5b58\u5728\u7684\u6a21\u5f0f\u5f71\u50cf\uff0c\u800c\u8fd9\u662f\u4e00\u4e2a\u7f3a\u70b9\u3002<\/span><\/p>\n

<\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

<\/span><\/p>\n

\u52a0\u5dde\u5927\u5b66\u4f2f\u514b\u5229\u5206\u6821\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6 Benjamin Recht \u8bf4:\u201c\u6709\u4e00\u4e2a\u5e26\u6709\u6076\u8da3\u5473\u7684\u6570\u5b66\u7b11\u8bdd\u2014\u2014\u62d3\u6251\u5b66\u5bb6\u65e0\u6cd5\u5206\u8fa8\u4ed6\u4eec\u7684\u5c41\u80a1\u548c\u5496\u5561\u676f\u4e4b\u95f4\u7684\u533a\u522b\uff0c\u56e0\u4e3a\u4e24\u8005\u5728\u62d3\u6251\u4e0a\u662f\u7b49\u4ef7\u7684\u3002\u201d\u4ed6\u8868\u793a\u76ee\u524d\u5e76\u4e0d\u6e05\u695a TDA \u4f55\u65f6\u7ba1\u7528\uff0c\u4f55\u65f6\u4e0d\u7ba1\u7528\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u8fd9\u9879\u6280\u672f\u4f9d\u8d56\u4e8e\u4e00\u4e2a\u5047\u8bbe\uff1a\u9ad8\u7ef4\u6570\u636e\u96c6\u6709\u4e00\u4e2a\u5185\u5728\u56fa\u6709\u7684\u4f4e\u7ef4\u7ed3\u6784\uff0c\u5e76\u4e14\u6709\u53ef\u80fd\u901a\u8fc7\u6570\u5b66\u53d1\u73b0\u8fd9\u79cd\u7ed3\u6784\u3002<\/span><\/p>\n

<\/span><\/p>\n

Recht \u8ba4\u4e3a\uff0c\u4e00\u4e9b\u6570\u636e\u96c6\u672c\u8eab\u5177\u6709\u5f88\u9ad8\u7684\u7ef4\u5ea6\uff0c\u4f46\u4e0d\u80fd\u901a\u8fc7\u62d3\u6251\u5206\u6790\u6765\u964d\u7ef4\u3002\u201c\u5982\u679c\u4e8b\u5b9e\u8bc1\u660e\uff0c\u4f60\u6240\u6709\u7684\u6570\u636e\u4e2d\u63a9\u85cf\u7740\u4e00\u5934\u7403\u5f62\u7684\u725b\u4e00\u6837\u7684\u5177\u4f53\u7ed3\u6784\uff0c\u90a3\u4e48 TDA \u5c06\u662f\u4e00\u4e2a\u4e0d\u9519\u7684\u9009\u62e9\uff0c\u5982\u679c\u5b83\u4e0d\u5b58\u5728\uff0c\u4f60\u53c8\u80fd\u505a\u4ec0\u4e48\uff1f\u5982\u679c\u6570\u636e\u96c6\u88ab\u6c61\u635f\uff0c\u4e0d\u5b8c\u6574\uff0c\u62d3\u6251\u65b9\u6cd5\u5c06\u4ea7\u751f\u6709\u7c7b\u4f3c\u9519\u8bef\u7684\u7ed3\u679c\u3002\u201d<\/span><\/p>\n

\n
\n<\/p>\n
\n
\n

\n

\n
<\/section>\n
<\/section>\n
<\/section>\n
\n
\n
\n

\u5965\u5361\u59c6\u79ef\u6728<\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n

<\/section>\n
<\/section>\n<\/section>\n

\n<\/section>\n<\/section>\n<\/section>\n<\/h1>\n

2004\u5e742\u6708\uff0c\u65af\u5766\u798f\u5927\u5b66\u7684\u6570\u5b66\u5bb6 Emmanuel Candes \u548c\u4ed6\u5f53\u65f6\u7684\u535a\u58eb\u540e Justin Romberg \u5728\u4ed6\u7684\u7535\u8111\u4e0a\u5904\u7406\u7740\u4e00\u5e45\u4e25\u91cd\u53d7\u635f<\/strong>\u7684\u56fe\u50cf\uff0c\u8fd9\u7c7b\u56fe\u50cf\u901a\u5e38\u88ab\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6\u7528\u6765\u6d4b\u8bd5\u6210\u50cf\u7b97\u6cd5\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u4ed6\u4eec\u8bd5\u56fe\u627e\u5230\u4e00\u79cd\u6539\u8fdb\u6a21\u7cca\u56fe\u50cf\u7684\u65b9\u6cd5\uff0c\u4f8b\u5982\u5f53\u6ca1\u6709\u8db3\u591f\u7684\u65f6\u95f4\u5b8c\u6210 MRIs \u626b\u63cf\u65f6\uff0c\u4ea7\u751f\u7684\u6a21\u7cca\u7684\u56fe\u50cf\u3002\u51ed\u501f\u76f4\u89c9\uff0cCandes \u5b9e\u73b0\u4e86\u4e00\u79cd\u5904\u7406\u6a21\u7cca\u56fe\u50cf\u7684\u7b97\u6cd5\uff0c\u5e0c\u671b\u56fe\u50cf\u80fd\u7a0d\u5fae\u53d8\u5f97\u6e05\u6670\u4e00\u70b9\u3002<\/span><\/p>\n

<\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

<\/span>\u4ece\u5de6\u81f3\u53f3\u56fe\u50cf\u6062\u590d | cvchina<\/span><\/strong><\/span><\/p>\n

<\/span><\/strong><\/p>\n

\u7136\u800c\uff0c\u4e00\u5e45\u5b8c\u7f8e\u7684\u56fe\u50cf\u5448\u73b0\u5728\u4ed6\u7535\u8111\u5c4f\u5e55\u4e0a<\/span><\/strong>\u3002Candes \u5c06\u8fd9\u4e2a\u4e0d\u592a\u53ef\u80fd\u7684\u7ed3\u679c\u6bd4\u55bb\u4e3a\u53ea\u7ed9\u51fa\u4e86\u5341\u4f4d\u94f6\u884c\u8d26\u6237\u7684\u5934\u4e09\u4f4d\u6570\u5b57\uff0c\u800c\u8981\u51c6\u786e\u7684\u731c\u51fa\u5269\u4f59\u7684\u4e03\u4f4d\u3002\u4f46\u8fd9\u5e76\u4e0d\u662f\u4fa5\u5e78\uff0c\u4ed6\u5c06\u540c\u6837\u7684\u6280\u672f\u5e94\u7528\u4e8e\u5176\u5b83\u7684\u4e0d\u5b8c\u6574\u56fe\u50cf\uff0c\u751f\u6210\u4e86\u600e\u6837\u7684\u7ed3\u679c\u3002<\/span><\/p>\n

\n

\u4e00\u4e2a\u88ab\u79f0\u4e3a<\/span>\u7a00\u758f\u6027<\/strong><\/span>\uff08sparsity\uff09\u7684\u6982\u5ff5\u662f\u8fd9\u9879\u6280\u672f\u6210\u529f\u7684\u5173\u952e\uff0c\u8fd9\u4e2a\u6982\u5ff5\u901a\u5e38\u7528\u4e8e\u8868\u793a\u56fe\u50cf\u7684\u590d\u6742\u6027\u6216\u4e0d\u591f\u590d\u6742\u3002\u8fd9\u662f\u5965\u5361\u59c6\u5243\u5200\u7684\u6570\u5b66\u7248\u672c\uff1a\u867d\u7136\u56fe\u50cf\u6a21\u7cca\uff0c\u4e0d\u660e\u786e\u7684\u56fe\u50cf\u53ef\u80fd\u6709\u6570\u767e\u4e07\u79cd\u53ef\u80fd\u7684\u91cd\u5efa\u65b9\u5f0f\uff0c\u4f46\u6700\u7b80\u5355\uff08\u6700\u7a00\u758f\uff09\u7684\u539f\u56fe\u53ef\u80fd\u662f\u6700\u5408\u9002\u7684\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u4ece\u8fd9\u4e2a\u610f\u5916\u7684\u53d1\u73b0\uff0c\u8bde\u751f\u4e86<\/span>\u538b\u7f29\u611f\u77e5<\/span>\u3002<\/span><\/p>\n

\n<\/p>\n
\n
\n
<\/p>\n

\u538b\u7f29\u611f\u77e5\uff1a<\/span><\/strong><\/span><\/p>\n

\u4e3a\u6570\u636e\u5212\u5206\u4f18\u5148\u7ea7<\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n

\u8003\u8651\u4e00\u4e0b\u5728\u7ebf\u89c6\u9891\u6d41\u7684\u60c5\u51b5\u3002\u89c6\u9891\u4e2d\u7684\u539f\u59cb\u6570\u636e\u975e\u5e38\u5de8\u5927\u2014\u20143200\u4e07\u50cf\u7d20\u6bcf\u79d2\u2014\u2014\u6240\u4ee5\u6570\u7801\u76f8\u673a\u3001\u6570\u7801\u6444\u50cf\u673a\u4f7f\u7528\u538b\u7f29\u7b97\u6cd5\u5b58\u50a8\u56fe\u50cf\u3002\u4eba\u4eec\u4e3a\u4e86\u6267\u884c\u538b\u7f29\u7a0b\u5e8f\uff0c\u5fc5\u987b\u6536\u96c6\u6240\u6709\u7684\u6570\u636e\uff0c\u5e76\u5b58\u50a8\u8fd9\u4e9b\u6570\u636e\u3002<\/span><\/p>\n

<\/strong><\/span><\/p>\n

\u5229\u7528\u538b\u7f29\u611f\u77e5\uff0c\u5c31\u53ef\u4ee5\u4e22\u5f03\u90a3\u4e9b\u4e0d\u592a\u91cd\u8981\u7684\u6570\u636e\uff0c\u4eba\u4eec\u53ef\u4ee5\u5148\u77e5\u9053\uff0c\u54ea\u4e9b\u6570\u636e\u662f\u91cd\u8981\u7684\uff0c\u800c\u4e0d\u662f\u5148\u6536\u96c6\u5b58\u50a8\u4ed6\u4eec\u3002<\/strong>Recht \u8bf4\uff0c\u8fd9\u5141\u8bb8\u4f60\u66f4\u5feb\u5730\u83b7\u53d6\u533b\u5b66\u56fe\u50cf\uff0c\u5236\u9020\u66f4\u597d\u7684\u96f7\u8fbe\u7cfb\u7edf\uff0c\u751a\u81f3\u7528\u5355\u50cf\u7d20\u76f8\u673a\u62cd\u7167\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u7b5b\u67e5\u611f\u67d3\u8005<\/span><\/strong><\/span><\/p>\n

<\/span><\/strong><\/span><\/p>\n

\u201c\u5982\u679c\u6211\u5bf9\u4eba\u7fa4\u8fdb\u884c\u7f55\u89c1\u75be\u75c5\u7b5b\u67e5\uff0c\u6211\u662f\u5426\u9700\u8981\u505a\u548c\u4eba\u53e3\u6570\u91cf\u4e00\u6837\u591a\u7684\u8840\u6db2\u6837\u672c\u68c0\u6d4b\uff1f\u201dCandes \u8bf4\u3002\u201c\u7b54\u6848\u662f\u5426\u5b9a\u7684\u3002\u6211\u53ef\u4ee5\u7528\u66f4\u5c11\u7684\u6d4b\u8bd5\u6765\u505a\u5230\u8fd9\u4e00\u70b9\u3002\u6211\u91c7\u96c6\u7684\u4fe1\u53f7\u5f88\u5c11\uff0c\u56e0\u4e3a\u53ea\u6709\u5c11\u6570\u4eba\u4f1a\u88ab\u68c0\u6d4b\u4e3a\u9633\u6027\u3002\u201c<\/span><\/p>\n

<\/span><\/p>\n

\u5047\u8bbe32\u4e2a\u4eba\u4e2d\u6709\u4e00\u540d\u611f\u67d3\u8005\uff0c\u6d4b\u8bd5\u6837\u672c\u4e2d\u5305\u542b\u4e8632\u4efd\u8840\u6db2\u6837\u672c\uff0c\u5982\u679c\u68c0\u6d4b\u4e3a\u9634\u6027\uff0c\u5c31\u6ca1\u6709\u611f\u67d3\u8005\uff0c\u5982\u679c\u68c0\u6d4b\u662f\u9633\u6027\uff0c\u5982\u4f55\u786e\u5b9a\u8c01\u662f\u611f\u67d3\u8005\u5462\uff1f<\/span><\/p>\n

<\/span><\/p>\n

\u6839\u636e Candes \u7684\u8bf4\u6cd5\uff0c\u53ef\u4ee5\u53d6\u4e00\u534a\uff0816\uff09\u7684\u6837\u672c\uff0c\u5e76\u91cd\u65b0\u8fdb\u884c\u68c0\u6d4b\uff0c\u5982\u679c\u662f\u9633\u6027\uff0c\u5219\u8be5\u611f\u67d3\u8005\u5c5e\u4e8e\u8be5\u7ec4\uff0c\u5982\u679c\u662f\u9634\u6027\u611f\u67d3\uff0c\u611f\u67d3\u8005\u4f4d\u4e8e\u53e6\u5916\u7684\u4e00\u7ec4\uff0c\u5e76\u4e14\u53ef\u4ee5\u518d\u6b21\u8fdb\u884c\u4e8c\u5206\u6cd5\uff0c\u76f4\u5230\u627e\u5230\u611f\u67d3\u8005\u3002\u201c\u603b\u4f53\u68c0\u6d4b\u201d\u6cd5\u5c06\u5728 5 \u6b21\u68c0\u6d4b\u4e2d\u7ed9\u51fa\u7b54\u6848\uff0c\u76f8\u6bd4\u4e8e\uff0c\u5bf9 32 \u4e2a\u4eba\u9010\u4e00\u8fdb\u884c\u68c0\u6d4b\uff0c\u8fd9\u5c31\u662f\u538b\u7f29\u611f\u77e5\u7684\u672c\u8d28\u3002<\/span><\/p>\n

\n

\u4f7f\u7528\u538b\u7f29\u611f\u77e5\u7b97\u6cd5\uff0c\u53ea\u8981\u5b58\u5728\u7a00\u758f\u6027\u548c\u5206\u7ec4(\u6216\u201c \u603b\u4f53\u68c0\u6d4b\u201d)\u7684\u5173\u952e\u5143\u7d20\uff0c\u5c31\u6709\u53ef\u80fd\u5bf9\u5177\u6709\u4e00\u767e\u4e07\u4e2a\u50cf\u7d20\u7684\u56fe\u50cf\u4e2d\u7684\u5341\u4e07\u4e2a\u50cf\u7d20\u8fdb\u884c\u91c7\u6837\uff0c\u5e76\u4e14\u4ecd\u7136\u80fd\u591f\u4ee5\u5b8c\u6574\u7684\u5206\u8fa8\u7387\u91cd\u5efa\u56fe\u50cf\u3002\u5f53\u9047\u5230\u4e00\u4e2a\u5927\u6570\u636e\u96c6\uff0c\u5e76\u4e14\u5176\u4e2d\u7684\u5f88\u5927\u4e00\u90e8\u5206\u6570\u636e\u4e22\u5931\u4e0d\u5b8c\u6574\u65f6\uff0c\u8fd9\u5c31\u662f\u4e00\u4e2a\u6709\u7528\u7684\u65b9\u6cd5\u3002<\/span><\/p>\n

\n

\u5bf9\u4e8e\u533b\u7597\u6570\u636e\uff0c\u4f20\u611f\u5668\u53ef\u80fd\u65e0\u6cd5\u51c6\u786e\u8bb0\u5f55\u6570\u636e\uff0c\u6216\u8005\u533b\u9662\u7684\u5de5\u4f5c\u4eba\u5458\u53ef\u80fd\u592a\u5fd9\u800c\u6765\u4e0d\u53ca\u5c06\u6570\u636e\u4f20\u8f93\u5230\u8ba1\u7b97\u673a\uff0c\u4e5f\u8bb8\u4ed6\u4eec\u91c7\u96c6\u4e86\u4e0d\u6b63\u786e\u7684\u4fe1\u606f\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u5bf9\u4e8e\u9762\u90e8\u8bc6\u522b\uff0c\u538b\u7f29\u611f\u77e5\u53ef\u4ee5\u7528\u4e8e\u5904\u7406\u8bc6\u522b\u7cfb\u7edf\u4e2d\u7684\u906e\u6321\u95ee\u9898\uff0c\u4f8b\u5982\u773c\u775b\u662f\u8bc6\u522b\u8138\u90e8\u7684\u5173\u952e\u56e0\u7d20\uff0c\u800c\u6234\u58a8\u955c\u5c31\u4f1a\u906e\u6321\u773c\u775b\u3002<\/span><\/p>\n

\n<\/p>\n
\n
\n
<\/p>\n

\u6269\u5c55\u5e94\u7528\uff1a<\/strong><\/span><\/p>\n

\u89e3\u51b3\u8bc4\u7ea7\u7f3a\u5931\u95ee\u9898<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n

\u4e25\u683c\u6765\u8bf4\uff0c\u8fd9\u79cd\u65b9\u6cd5\u751a\u81f3\u53ef\u4ee5\u5e94\u7528\u4e8e\u975e\u538b\u7f29\u611f\u77e5\u7684\u95ee\u9898\uff0c\u5982 Netflix \u5927\u5956\u3002<\/span><\/p>\n

<\/span><\/p>\n

Netflix \u8bbe\u7acb\u4e86\u4e00\u9879\u767e\u4e07\u7f8e\u5143\u7684\u5927\u5956\uff0c\u5956\u52b1\u90a3\u4e9b\u80fd\u591f\u6539\u8fdb\u5bb6\u5ead\u7535\u5f71\u63a8\u8350\u7cfb\u7edfCinematch\u7684\u8fc7\u6ee4\u7b97\u6cd5\u7684\u4eba\u3002\u4e00\u4e2a\u7531\u7edf\u8ba1\u5b66\u5bb6\u3001\u673a\u5668\u5b66\u4e60\u4e13\u5bb6\u548c\u8ba1\u7b97\u673a\u5de5\u7a0b\u5e08\u7ec4\u6210\u7684\u56fd\u9645\u56e2\u961f\u57282009\u5e74\u83b7\u5f97\u4e86\u5927\u5956\uff0c\u4f46\u662f\u5b66\u672f\u754c\u4e5f\u80fd\u666e\u904d\u4ece\u4e2d\u53d7\u76ca\uff0c\u56e0\u4e3a\u4ed6\u4eec\u83b7\u5f97\u4e86\u7531 Netflix \u63d0\u4f9b\u7684\u9ad8\u8d28\u91cf\u7684\u5de8\u5927\u6570\u636e\u96c6\u3002Recht \u5c31\u662f\u5176\u4e2d\u4e00\u4f4d\u6539\u8fdb\u8be5\u7b97\u6cd5\u7684\u4eba\u3002\u4ed6\u7684\u5de5\u4f5c\u8bc1\u5b9e\u4e86\u80fd\u591f\u5c06\u538b\u7f29\u611f\u77e5\u7b97\u6cd5\u5e94\u7528\u4e8e\u586b\u8865\u6570\u636e\u96c6\u4e2d\u7684\u8bc4\u7ea7\u7f3a\u5931\u95ee\u9898\u3002<\/span><\/p>\n

\n

Cinematch \u7684\u8fd0\u4f5c\u4f9d\u8d56\u4e8e\u5ba2\u6237\u53cd\u9988\uff0c\u9f13\u52b1\u7528\u6237\u5bf9\u4ed6\u4eec\u89c2\u770b\u7684\u7535\u5f71\u8fdb\u884c\u8bc4\u7ea7\uff0c\u5e76\u4e14\u57fa\u4e8e\u8fd9\u4e9b\u8bc4\u7ea7\uff0c\u63a8\u8350\u7cfb\u7edf\u80fd\u591f\u7ed9\u5b9a\u7528\u6237\u5bf9\u7c7b\u4f3c\u7535\u5f71\u7684\u559c\u7231\u7a0b\u5ea6\u3002<\/span><\/p>\n

<\/span><\/p>\n

Netflix\u63d0\u4f9b\u7684\u6570\u636e\u96c6\u975e\u5e38\u5de8\u5927\uff0c\u4f46\u662f\u5e76\u4e0d\u5b8c\u6574\uff0c\u603b\u4f53\u800c\u8a00\uff0c\u7528\u6237\u53ea\u5bf9\u8fd1 18,000 \u90e8\u7535\u5f71\u4e2d\u7684 200 \u90e8\u8fdb\u884c\u8bc4\u7ea7\u3002\u8003\u8651\u5230 Netflix \u7684\u666e\u53ca\u8303\u56f4\u4e4b\u5e7f\uff0c\u63a8\u8350\u7cfb\u7edf\u7684\u4e00\u70b9\u70b9\u6539\u8fdb\uff0c\u4e5f\u80fd\u591f\u6781\u5927\u5730\u63d0\u9ad8\u516c\u53f8\u5229\u6da6\u3002<\/span><\/p>\n

<\/span><\/p>\n

Recht \u53d1\u73b0\uff0c\u53ea\u8981\u5ba2\u6237\u770b\u4e86\u8db3\u591f\u591a\u7684\u7535\u5f71\uff0c\u4ed6\u5c31\u53ef\u4ee5\u51c6\u786e\u9884\u6d4b\u5ba2\u6237\u4f1a\u611f\u5174\u8da3\u8d2d\u4e70\u54ea\u4e9b\u7535\u5f71\u300225 \u81f3 100 \u90e8\u7535\u5f71\u5c31\u8db3\u591f\u5b8c\u5584\u6570\u636e\u77e9\u9635\u3002<\/span><\/p>\n

<\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u538b\u7f29\u611f\u77e5\u539f\u7406\u56fe\u793a | CSDN<\/span><\/strong><\/span><\/p>\n

\n

Candes \u8bf4:\u201c\u6211\u4eec\u5728\u6570\u5b66\u4e0a\u5df2\u7ecf\u8868\u660e\uff0c\u5728\u67d0\u4e9b\u6761\u4ef6\u4e0b\uff0c\u901a\u8fc7\u6613\u4e8e\u5904\u7406\u7684\u8ba1\u7b97\u6280\u672f\uff0c\u4f60\u53ef\u4ee5\u975e\u5e38\u51c6\u786e\u5730\u505a\u5230\u8fd9\u4e00\u70b9\u3002\u201d\u4ece\u8fd9\u4e00\u539f\u7406\u4e2d\u5f97\u5230\u7684\u7ecf\u9a8c\u73b0\u5728\u56de\u9988\u7ed9\u4e86\u7814\u7a76\u754c\uff0c\u89e3\u51b3\u4e86\u91cf\u5b50\u7269\u7406\u3001X-\u5c04\u7ebf\u6676\u4f53\u5b66\u548c\u8ba1\u7b97\u673a\u89c6\u89c9\u4ee5\u53ca\u5176\u4ed6\u5e94\u7528\u9886\u57df\u7684\u95ee\u9898\u3002<\/span><\/p>\n

\n<\/p>\n
\n
\n
<\/p>\n

\u672a\u6765\u8d8b\u52bf\uff1a<\/strong><\/span><\/p>\n

\u6574\u5408\u5de5\u5177\uff0c\u6784\u5efa\u6a21\u578b<\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n

\u672a\u6765\uff0c\u5929\u6587\u5b66\u5bb6\u4f7f\u7528\u7ea2\u5916\u5929\u6587\u671b\u8fdc\u955c\u65f6\u53ef\u80fd\u53ea\u9700\u8981\u8bb0\u5f55 20% \u7684\u50cf\u7d20\uff0c\u5728\u4ee5\u5f80\uff0c\u4ed6\u4eec\u9700\u8981\u83b7\u5f97\u540c\u6837\u7684\u9ad8\u5206\u8fa8\u7387\u56fe\u50cf\uff0c\u800c\u73b0\u5728\u538b\u7f29\u611f\u77e5\u53ef\u4ee5\u586b\u8865\u8fd9\u4e9b\u7a7a\u767d\u3002<\/span><\/p>\n

\n

Recht \u548c Candes \u53ef\u80fd\u4f1a\u91c7\u7528\u50cf\u538b\u7f29\u611f\u77e5\u8fd9\u6837\u7684\u65b9\u6cd5\uff0c\u800c Carlsson \u548c Coifman \u5219\u66f4\u503e\u5411\u4e8e\u4f7f\u7528\u62d3\u6251\u65b9\u6cd5\uff0c\u4f46\u4ece\u6839\u672c\u4e0a\u8bf4\uff0c\u8fd9\u4e24\u79cd\u65b9\u6cd5\u80fd\u4e92\u4e3a\u8865\u5145\u800c\u975e\u5f7c\u6b64\u7ade\u4e89\u3002<\/span><\/p>\n

<\/span><\/p>\n

\u540c\u65f6\u8fd8\u6709\u4e00\u4e9b\u5176\u4ed6\u7684\u6709\u524d\u666f\u7684\u6570\u5b66\u5de5\u5177\u6b63\u5728\u5f00\u53d1\u4e4b\u4e2d\uff0c\u4e3a\u4e86\u66f4\u597d\u7684\u5904\u7406\u8fd9\u4e2a\u6570\u636e\u5e9e\u6742\u800c\u590d\u6742\u7684\u65b0\u4e16\u754c\u3002Vespignani \u4f7f\u7528\u4e86\u4e00\u5207\u53ef\u5229\u7528\u7684\u5de5\u5177\uff0c\u4ece\u7f51\u7edc\u5206\u6790\uff08\u521b\u5efa\u4eba\u3001\u5bf9\u8c61\u3001\u6587\u6863\u4e4b\u95f4\u7684\u5173\u7cfb\u7f51\u7edc\uff0c\u4ee5\u6b64\u63ed\u793a\u6f5c\u85cf\u5728\u6570\u636e\u4e2d\u7684\u7ed3\u6784\uff09\u5230\u673a\u5668\u5b66\u4e60\u4ee5\u53ca\u7ecf\u8fc7\u8003\u9a8c\u7684\u8001\u5f0f\u7edf\u8ba1\u65b9\u6cd5\u3002<\/span><\/p>\n

<\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u00a9 Behance<\/span><\/strong><\/span><\/p>\n

<\/span><\/p>\n

Coifman \u58f0\u79f0\u9700\u8981\u4e00\u4e2a\u548c\u5fae\u79ef\u5206\u540c\u7b49\u91cd\u8981\u7684\u57fa\u7840\u7406\u8bba\uff0c\u4f7f\u5f97\u7814\u7a76\u8005\u80fd\u591f\u66f4\u597d\u7684\u6210\u4e3a\u201c\u5927\u6570\u636e\u76d1\u7ba1\u4eba\u201d\u3002\u540c\u6837\u7684\uff0c\u5404\u79cd\u6b63\u5728\u5f00\u53d1\u7684\u5de5\u5177\u6280\u672f\u9700\u8981\u6574\u5408\u5230\u4e00\u4e2a\u66f4\u5e7f\u6cdb\u7684\u7406\u8bba\u6a21\u578b\u4e2d\u3002<\/span><\/p>\n

<\/span><\/p>\n

Vespignani \u575a\u5b9a\u7684\u8ba4\u4e3a\uff1a\u201c\u5230\u5934\u6765\uff0c\u6570\u636e\u79d1\u5b66\u4e0d\u4ec5\u4ec5\u662f\u65b9\u6cd5\u8bba\u7684\u52a0\u548c\u3002\u5f53\u4f60\u878d\u5408\u4e86\u4e00\u4e9b\u4e1c\u897f\u7684\u65f6\u5019\uff0c\u4f60\u80fd\u505a\u51fa\u4e00\u4e2a\u5d2d\u65b0\u7684\u3001\u4f1f\u5927\u7684\u3001\u4e0d\u4e00\u6837\u7684\u4e1c\u897f\u3002\u201d<\/span><\/p>\n

<\/span><\/p>\n

<\/span><\/p>\n

<\/span><\/p>\n

\n

\u7ffb\u8bd1\uff1aLeo<\/span><\/p>\n

\u5ba1\u6821\uff1a\u9ad8\u98de<\/span><\/p>\n

\u7f16\u8f91\uff1a\u738b\u6021\u853a<\/span><\/p>\n

\u539f\u6587\uff1a<\/span><\/p>\n

https:\/\/www.quantamagazine.org\/the-mathematical-shape-of-big-science-data-20131004<\/span><\/p>\n<\/blockquote>\n

\n<\/p>\n
\n
\n
<\/p>\n

\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n

\u89e3\u6551\u6df1\u5ea6\u5b66\u4e60\u8fc7\u62df\u5408\u7684\u795e\u5668\uff1a\u975e\u7ebf\u6027\u7cfb\u6570<\/span><\/strong><\/span><\/a><\/p>\n

\u9884\u6d4b\u672a\u6765\uff0c\u6539\u53d8\u672a\u6765 | \u6570\u636e\u79d1\u5b66\u516c\u5f00\u8bfe<\/span><\/strong><\/span><\/a><\/p>\n

3.14\uff1a\u795e\u5947\u7684 \u03c0 \u65e5\u80cc\u540e\u7684\u795e\u5947\u6570\u5b66<\/span><\/strong><\/span><\/a><\/p>\n

\u5173\u7cfb\u6570\u636e\u7eb7\u7e41\u590d\u6742\uff0c\u5982\u4f55\u6355\u6349\u5176\u4e2d\u7ed3\u6784\uff1f<\/span><\/strong><\/span><\/a><\/p>\n<\/section>\n

\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/a><\/span><\/strong><\/span><\/p>\n

\n
\n
\n
<\/p>\n

\u63a8\u8350\u8bfe\u7a0b<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n

\"\u96c6\u667a\"<\/p>\n

<\/span><\/p>\n

\u8bfe\u7a0b\u5730\u5740\uff1a<\/span><\/p>\n

https:\/\/campus.swarma.org\/gpac=10406<\/span><\/p>\n

<\/span><\/p>\n

\n
\n
\"\u96c6\u667a\"<\/div>\n
\n
\n
\n
\n
\n
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\u96c6\u667a\u4ff1\u4e50\u90e8QQ\u7fa4\uff5c292641157<\/span><\/strong><\/p>\n

\u5546\u52a1\u5408\u4f5c\u53ca\u6295\u7a3f\u8f6c\u8f7d\uff5cswarma@swarma.org<\/span><\/strong><\/p>\n

\n

\u25c6<\/span>\u25c6<\/span>\u25c6<\/span><\/span><\/strong><\/strong><\/h1>\n<\/section>\n

\u641c\u7d22\u516c\u4f17\u53f7\uff1a\u96c6\u667a\u4ff1\u4e50\u90e8<\/span><\/strong><\/span><\/p>\n

<\/span><\/strong><\/span><\/p>\n

\u52a0\u5165\u201c\u6ca1\u6709\u56f4\u5899\u7684\u7814\u7a76\u6240\u201d<\/span><\/strong><\/span><\/p>\n

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\"\u96c6\u667a\"<\/div>\n<\/section>\n

\u8ba9\u82f9\u679c\u7838\u5f97\u66f4\u731b\u70c8\u4e9b\u5427\uff01<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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\u59cb\u53d1\u4e8e\u5fae\u4fe1\u516c\u4f17\u53f7\uff1a \u96c6\u667a\u4ff1\u4e50\u90e8 <\/p>\n<\/blockquote>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u5bfc\u8bed \u79d1\u5b66\u6570\u636e\u96c6\u5c06\u53d8\u5f97\u66f4\u52a0\u52a8\u6001\u800c\u590d\u6742\uff0c\u672a\u6765\u7684\u6570\u636e\u5904\u7406\uff0c\u4e9f\u5f85\u53d1\u660e\u80fd\u4e0e\u5fae\u79ef\u5206\u76f8\u63d0\u5e76\u8bba\u7684\u9769\u547d\u5f0f\u6570\u5b66\u65b0\u6280\u672f\uff0c\u800c\u51e0\u4f55\u5b66\u6216\u8bb8\u53ef\u4ee5\u4e3a\u6b64\u63d0\u4f9b\u601d\u8def\u3002 \u7f16\u8bd1\uff1a\u96c6\u667a\u4ff1\u4e50\u90e8\u7ffb\u8bd1\u7ec4 \u6765\u6e90\uff1aquantamagazine \u539f\u9898\uff1aThe mathematical shape of things to come \u590d\u6742\u201c\u5927\u6570\u636e\u201d\u96be\u9898 …<\/p>\n","protected":false},"author":1,"featured_media":10854,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[19],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/10853"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=10853"}],"version-history":[{"count":1,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/10853\/revisions"}],"predecessor-version":[{"id":10878,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/10853\/revisions\/10878"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/10854"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10853"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10853"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10853"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=10853"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}