{"id":224,"date":"2024-02-22T16:36:08","date_gmt":"2024-02-22T08:36:08","guid":{"rendered":"https:\/\/www.xuzhe.tj.cn\/?p=224"},"modified":"2025-05-03T09:39:40","modified_gmt":"2025-05-03T01:39:40","slug":"%e6%9f%af%e5%b0%94%e8%8e%ab%e6%88%88%e6%b4%9b%e5%a4%ab%e5%a4%8d%e6%9d%82%e6%80%a7%ef%bc%88kolmogorov-complexity%ef%bc%89%e7%90%86%e8%ae%ba","status":"publish","type":"post","link":"https:\/\/www.xuzhe.tj.cn\/index.php\/2024\/02\/22\/%e6%9f%af%e5%b0%94%e8%8e%ab%e6%88%88%e6%b4%9b%e5%a4%ab%e5%a4%8d%e6%9d%82%e6%80%a7%ef%bc%88kolmogorov-complexity%ef%bc%89%e7%90%86%e8%ae%ba\/","title":{"rendered":"\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff08Kolmogorov Complexity\uff09\u7406\u8bba"},"content":{"rendered":"

\u5b9a\u4e49<\/h1>\n

\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff08Kolmogorov Complexity\uff09\uff0c\u662f\u8861\u91cf\u4e00\u4e2a\u5bf9\u8c61\u4fe1\u606f\u5185\u5bb9\u5927\u5c0f\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u5b83\u901a\u8fc7\u5bfb\u627e\u63cf\u8ff0\u8be5\u5bf9\u8c61\u6700\u77ed\u7684\u4e8c\u8fdb\u5236\u7a0b\u5e8f\u957f\u5ea6\u6765\u5b9a\u4e49\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u4e00\u4e2a\u5bf9\u8c61\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u662f\u6307\u5728\u7ed9\u5b9a\u7684\u8ba1\u7b97\u6a21\u578b\u4e0b\uff0c\u80fd\u591f\u751f\u6210\u8be5\u5bf9\u8c61\u7684\u6700\u77ed\u7a0b\u5e8f\u7684\u957f\u5ea6\u3002\u8fd9\u4e2a\u5b9a\u4e49\u63d0\u4f9b\u4e86\u4e00\u79cd\u91cf\u5316\u5bf9\u8c61\u4fe1\u606f\u91cf\u7684\u65b9\u5f0f\uff0c\u4e0d\u4f9d\u8d56\u4e8e\u5177\u4f53\u7684\u7f16\u7801\u65b9\u5f0f\u3002<\/p>\n

<\/p>\n

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\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u63ed\u793a\u4e86\u4e00\u4e2a\u91cd\u8981\u7684\u89c2\u70b9\uff1a\u5bf9\u8c61\u7684\u590d\u6742\u6027\u5e76\u4e0d\u4ec5\u4ec5\u53d6\u51b3\u4e8e\u5bf9\u8c61\u672c\u8eab\u7684\u5927\u5c0f\uff0c\u8fd8\u53d6\u51b3\u4e8e\u5bf9\u8c61\u5185\u5728\u7684\u89c4\u5f8b\u6027\u548c\u7ed3\u6784\u3002\u7b80\u5355\u89c4\u5f8b\u7684\u5bf9\u8c61\u5373\u4f7f\u5f88\u5927\uff0c\u5176\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u4e5f\u53ef\u80fd\u5f88\u4f4e\uff0c\u56e0\u4e3a\u5b83\u4eec\u53ef\u4ee5\u901a\u8fc7\u7b80\u77ed\u7684\u7a0b\u5e8f\u6765\u751f\u6210\u3002\u76f8\u53cd\uff0c\u5373\u4f7f\u5bf9\u8c61\u5f88\u5c0f\uff0c\u4f46\u5982\u679c\u6ca1\u6709\u660e\u663e\u7684\u89c4\u5f8b\u6216\u7ed3\u6784\uff0c\u5176\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u53ef\u80fd\u4f1a\u5f88\u9ad8\u3002<\/p>\n

\u901a\u8fc7\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff0c\u6211\u4eec\u53ef\u4ee5\u66f4\u6df1\u5165\u5730\u7406\u89e3\u4fe1\u606f\u3001\u7ed3\u6784\u548c\u968f\u673a\u6027\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4e3a\u4fe1\u606f\u8bba\u3001\u8ba1\u7b97\u673a\u79d1\u5b66\u3001\u673a\u5668\u5b66\u4e60\u7b49\u9886\u57df\u63d0\u4f9b\u4e86\u91cd\u8981\u7684\u7406\u8bba\u57fa\u7840\u3002<\/p>\n

\u80cc\u666f\u4e0e\u53d1\u5c55<\/h1>\n

\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff08Kolmogorov Complexity\uff09\u7684\u6982\u5ff5\u6700\u65e9\u7531\u82cf\u8054\u6570\u5b66\u5bb6\u5b89\u5fb7\u70c8\u00b7\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\uff08Andrei Kolmogorov\uff09\u57281960\u5e74\u4ee3\u63d0\u51fa\uff0c\u76ee\u7684\u662f\u4e3a\u4e86\u91cf\u5316\u5bf9\u8c61\u7684\u4fe1\u606f\u5185\u5bb9\u3002\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u63d0\u51fa\u8fd9\u4e00\u7406\u8bba\u7684\u521d\u8877\u662f\u89e3\u51b3\u4fe1\u606f\u7684\u91cf\u5316\u95ee\u9898\uff0c\u7279\u522b\u662f\u5728\u9762\u5bf9\u968f\u673a\u6027\u65f6\u5982\u4f55\u5ea6\u91cf\u4fe1\u606f\u7684\u590d\u6742\u5ea6\u3002\u6b64\u540e\uff0c\u8fd9\u4e00\u7406\u8bba\u8fc5\u901f\u5728\u6570\u5b66\u3001\u8ba1\u7b97\u673a\u79d1\u5b66\u548c\u4fe1\u606f\u8bba\u4e2d\u5f97\u5230\u4e86\u5e7f\u6cdb\u7684\u5e94\u7528\u548c\u53d1\u5c55\u3002<\/p>\n

\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7684\u5f15\u5165\uff0c\u6807\u5fd7\u7740\u5bf9\u4fe1\u606f\u7684\u7406\u89e3\u8fdb\u5165\u4e86\u4e00\u4e2a\u65b0\u7684\u9636\u6bb5\u3002\u5728\u6b64\u4e4b\u524d\uff0c\u4fe1\u606f\u7684\u5ea6\u91cf\u4e3b\u8981\u57fa\u4e8e\u6982\u7387\u8bba\u548c\u4fe1\u606f\u8bba\u7684\u89c2\u70b9\uff0c\u5982\u9999\u519c\uff08Claude Shannon\uff09\u63d0\u51fa\u7684\u4fe1\u606f\u71b5\u6982\u5ff5\uff0c\u4e3b\u8981\u5173\u6ce8\u4fe1\u606f\u7684\u5e73\u5747\u91cf\u3002\u800c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u63d0\u4f9b\u4e86\u4e00\u79cd\u4e0d\u540c\u7684\u89c6\u89d2\uff0c\u5373\u4ece\u6700\u77ed\u7a0b\u5e8f\u7684\u957f\u5ea6\u6765\u5ea6\u91cf\u4fe1\u606f\u7684\u91cf\uff0c\u8fd9\u5141\u8bb8\u6211\u4eec\u4ece\u5355\u4e2a\u5bf9\u8c61\u7684\u89d2\u5ea6\u6765\u8003\u8651\u4fe1\u606f\u91cf\uff0c\u800c\u4e0d\u4ec5\u4ec5\u662f\u6574\u4f53\u7684\u5e73\u5747\u7279\u6027\u3002<\/p>\n

\u968f\u7740\u65f6\u95f4\u7684\u63a8\u79fb\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u9010\u6e10\u88ab\u8bc1\u660e\u5728\u591a\u4e2a\u9886\u57df\u5185\u6709\u7740\u5e7f\u6cdb\u7684\u5e94\u7528\u4ef7\u503c\u3002\u5728\u7406\u8bba\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\uff0c\u5b83\u4e0e\u7b97\u6cd5\u4fe1\u606f\u8bba\u7d27\u5bc6\u76f8\u5173\uff0c\u4e3a\u7406\u89e3\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\u7684\u4fe1\u606f\u5904\u7406\u63d0\u4f9b\u4e86\u57fa\u672c\u5de5\u5177\u3002\u5728\u6570\u636e\u538b\u7f29\u9886\u57df\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7684\u6982\u5ff5\u542f\u53d1\u4e86\u8bb8\u591a\u9ad8\u6548\u7684\u538b\u7f29\u7b97\u6cd5\u3002\u6b64\u5916\uff0c\u5b83\u8fd8\u5728\u6a21\u5f0f\u8bc6\u522b\u3001\u4eba\u5de5\u667a\u80fd\u3001\u751f\u7269\u4fe1\u606f\u5b66\u7b49\u9886\u57df\u53d1\u6325\u4e86\u91cd\u8981\u4f5c\u7528\u3002<\/p>\n

\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7406\u8bba\u7684\u53d1\u5c55\u4e5f\u5e26\u6765\u4e86\u4e00\u4e9b\u7406\u8bba\u4e0a\u7684\u6311\u6218\uff0c\u5c24\u5176\u662f\u5176\u4e0d\u53ef\u8ba1\u7b97\u6027\u3002\u8fd9\u610f\u5473\u7740\u4e0d\u5b58\u5728\u4e00\u4e2a\u901a\u7528\u7b97\u6cd5\u80fd\u591f\u51c6\u786e\u8ba1\u7b97\u4efb\u4f55\u7ed9\u5b9a\u5bf9\u8c61\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u3002\u5c3d\u7ba1\u5982\u6b64\uff0c\u7814\u7a76\u8005\u4eec\u901a\u8fc7\u8fd1\u4f3c\u65b9\u6cd5\u548c\u7279\u5b9a\u9886\u57df\u7684\u5e94\u7528\u7ee7\u7eed\u63a2\u7d22\u5176\u6f5c\u529b\u3002<\/p>\n

\u603b\u4e4b\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u4e0d\u4ec5\u6df1\u5316\u4e86\u6211\u4eec\u5bf9\u4fe1\u606f\u91cf\u5316\u7684\u7406\u89e3\uff0c\u4e5f\u4fc3\u8fdb\u4e86\u8de8\u5b66\u79d1\u7814\u7a76\u7684\u53d1\u5c55\uff0c\u6210\u4e3a\u4fe1\u606f\u8bba\u3001\u8ba1\u7b97\u673a\u79d1\u5b66\u7b49\u9886\u57df\u4e0d\u53ef\u6216\u7f3a\u7684\u7406\u8bba\u57fa\u77f3\u3002<\/p>\n

\u8ba1\u7b97\u65b9\u6cd5<\/h1>\n

\u8ba1\u7b97\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff08Kolmogorov Complexity\uff09\u9762\u4e34\u7684\u4e00\u4e2a\u6839\u672c\u95ee\u9898\u662f\u5b83\u7684\u4e0d\u53ef\u8ba1\u7b97\u6027\uff1a\u7406\u8bba\u4e0a\u4e0d\u5b58\u5728\u4e00\u4e2a\u901a\u7528\u7a0b\u5e8f\u80fd\u591f\u4e3a\u4efb\u610f\u7ed9\u5b9a\u5b57\u7b26\u4e32\u8ba1\u7b97\u51fa\u5176\u786e\u5207\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u3002\u8fd9\u4e2a\u6027\u8d28\u6e90\u81ea\u4e8e\u505c\u673a\u95ee\u9898\uff08Halting Problem\uff09\u7684\u4e0d\u53ef\u89e3\u6027\uff0c\u610f\u5473\u7740\u6211\u4eec\u4e0d\u80fd\u8bbe\u8ba1\u4e00\u4e2a\u7b97\u6cd5\u6765\u5224\u65ad\u4efb\u610f\u7a0b\u5e8f\u662f\u5426\u80fd\u5728\u6709\u9650\u65f6\u95f4\u5185\u505c\u6b62\uff0c\u4ece\u800c\u4e5f\u5c31\u65e0\u6cd5\u5224\u65ad\u7a0b\u5e8f\u751f\u6210\u7279\u5b9a\u5b57\u7b26\u4e32\u7684\u6700\u77ed\u957f\u5ea6\u3002<\/p>\n

\u5c3d\u7ba1\u5982\u6b64\uff0c\u7814\u7a76\u8005\u4eec\u5df2\u7ecf\u5f00\u53d1\u51fa\u4e86\u51e0\u79cd\u65b9\u6cd5\u6765\u8fd1\u4f3c\u8ba1\u7b97\u6216\u8bc4\u4f30\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff0c\u5c3d\u7ba1\u5b83\u4eec\u65e0\u6cd5\u7cbe\u786e\u8ba1\u7b97\uff0c\u4f46\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u4ecd\u7136\u975e\u5e38\u6709\u7528\u3002\u4ee5\u4e0b\u662f\u51e0\u79cd\u4e3b\u8981\u7684\u65b9\u6cd5\uff1a<\/p>\n

    \n
  1. \n

    \u57fa\u4e8e\u538b\u7f29\u7684\u65b9\u6cd5<\/strong>\uff1a\u8fd9\u79cd\u65b9\u6cd5\u57fa\u4e8e\u8fd9\u6837\u4e00\u4e2a\u5047\u8bbe\uff0c\u5373\u4e00\u4e2a\u5b57\u7b26\u4e32\u7684\u538b\u7f29\u5927\u5c0f\u53ef\u4ee5\u4f5c\u4e3a\u5176\u590d\u6742\u6027\u7684\u4e00\u4e2a\u8fd1\u4f3c\u3002\u5982\u679c\u4e00\u4e2a\u5b57\u7b26\u4e32\u53ef\u4ee5\u88ab\u538b\u7f29\u6210\u8f83\u77ed\u7684\u5f62\u5f0f\uff0c\u90a3\u4e48\u5b83\u88ab\u8ba4\u4e3a\u662f\u5177\u6709\u8f83\u4f4e\u7684\u590d\u6742\u6027\uff1b\u53cd\u4e4b\uff0c\u5982\u679c\u4e00\u4e2a\u5b57\u7b26\u4e32\u51e0\u4e4e\u65e0\u6cd5\u88ab\u538b\u7f29\uff0c\u90a3\u4e48\u5b83\u88ab\u8ba4\u4e3a\u5177\u6709\u9ad8\u590d\u6742\u6027\u3002\u4f7f\u7528\u4e0d\u540c\u7684\u538b\u7f29\u7b97\u6cd5\uff08\u5982LZ77\u3001LZ78\u3001gzip\u7b49\uff09\u53ef\u4ee5\u5f97\u5230\u4e0d\u540c\u7684\u590d\u6742\u6027\u4f30\u8ba1\u3002<\/p>\n<\/li>\n

  2. \n

    \u6700\u5c0f\u63cf\u8ff0\u957f\u5ea6\uff08MDL\uff09\u539f\u7406<\/strong>\uff1aMDL\u539f\u7406\u662f\u4e00\u79cd\u57fa\u4e8e\u6a21\u578b\u9009\u62e9\u7684\u7406\u8bba\u6846\u67b6\uff0c\u5b83\u63d0\u4f9b\u4e86\u4e00\u79cd\u901a\u8fc7\u9009\u62e9\u53ef\u4ee5\u6700\u7b80\u6d01\u63cf\u8ff0\u6570\u636e\u7684\u6a21\u578b\u6765\u4f30\u8ba1\u6570\u636e\u590d\u6742\u6027\u7684\u65b9\u6cd5\u3002MDL\u539f\u7406\u4e0e\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u6709\u7740\u7d27\u5bc6\u7684\u8054\u7cfb\uff0c\u56e0\u4e3a\u5b83\u4eec\u90fd\u5f3a\u8c03\u4e86\u7b80\u6d01\u6027\u7684\u91cd\u8981\u6027\u3002\u5728MDL\u4e2d\uff0c\u6570\u636e\u7684\u590d\u6742\u6027\u53ef\u4ee5\u901a\u8fc7\u627e\u5230\u6700\u80fd\u538b\u7f29\u6570\u636e\u7684\u6a21\u578b\u6765\u4f30\u8ba1\u3002<\/p>\n<\/li>\n

  3. \n

    \u7f16\u7a0b\u8bed\u8a00\u548c\u8f6f\u4ef6\u5de5\u5177<\/strong>\uff1a\u867d\u7136\u4e0d\u80fd\u7cbe\u786e\u8ba1\u7b97\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff0c\u4f46\u7814\u7a76\u8005\u4eec\u5df2\u7ecf\u5f00\u53d1\u4e86\u4e00\u4e9b\u7f16\u7a0b\u8bed\u8a00\u548c\u8f6f\u4ef6\u5de5\u5177\u6765\u5e2e\u52a9\u4f30\u8ba1\u7279\u5b9a\u60c5\u51b5\u4e0b\u7684\u590d\u6742\u6027\u3002\u8fd9\u4e9b\u5de5\u5177\u901a\u5e38\u57fa\u4e8e\u7279\u5b9a\u7684\u5047\u8bbe\u548c\u8fd1\u4f3c\u65b9\u6cd5\uff0c\u6bd4\u5982\u5229\u7528\u7279\u5b9a\u7f16\u7a0b\u8bed\u8a00\u7684\u7279\u6027\u6765\u4f30\u8ba1\u7a0b\u5e8f\u7684\u957f\u5ea6\u3002<\/p>\n<\/li>\n<\/ol>\n

    \u5c3d\u7ba1\u8fd9\u4e9b\u65b9\u6cd5\u65e0\u6cd5\u63d0\u4f9b\u7cbe\u786e\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u503c\uff0c\u4f46\u5b83\u4eec\u5728\u8bb8\u591a\u5b9e\u9645\u5e94\u7528\u4e2d\u63d0\u4f9b\u4e86\u6709\u4ef7\u503c\u7684\u89c1\u89e3\u548c\u4f30\u8ba1\uff0c\u6bd4\u5982\u5728\u6570\u636e\u538b\u7f29\u3001\u6a21\u5f0f\u8bc6\u522b\u548c\u673a\u5668\u5b66\u4e60\u9886\u57df\u7684\u7814\u7a76\u4e2d\u3002\u901a\u8fc7\u8fd9\u4e9b\u65b9\u6cd5\uff0c\u7814\u7a76\u8005\u53ef\u4ee5\u5bf9\u6570\u636e\u7684\u590d\u6742\u6027\u6709\u4e00\u4e2a\u5927\u81f4\u7684\u4e86\u89e3\uff0c\u4ece\u800c\u5728\u7406\u8bba\u7814\u7a76\u548c\u5b9e\u9645\u5e94\u7528\u4e2d\u505a\u51fa\u66f4\u52a0\u660e\u667a\u7684\u51b3\u7b56\u3002<\/p>\n

    \u5e94\u7528\u9886\u57df<\/h1>\n

    \u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff08Kolmogorov Complexity\uff09\u867d\u7136\u7406\u8bba\u4e0a\u4e0d\u53ef\u8ba1\u7b97\uff0c\u4f46\u5176\u6982\u5ff5\u548c\u7406\u8bba\u6846\u67b6\u5df2\u7ecf\u5728\u591a\u4e2a\u9886\u57df\u4e2d\u627e\u5230\u4e86\u91cd\u8981\u7684\u5e94\u7528\uff0c\u4fc3\u8fdb\u4e86\u7406\u8bba\u548c\u6280\u672f\u7684\u53d1\u5c55\u3002\u4ee5\u4e0b\u662f\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u5728\u4e0d\u540c\u9886\u57df\u4e2d\u7684\u4e00\u4e9b\u5173\u952e\u5e94\u7528\uff1a<\/p>\n

      \n
    1. \n

      \u6570\u636e\u538b\u7f29<\/strong>\uff1a\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u76f4\u63a5\u5f71\u54cd\u6570\u636e\u538b\u7f29\u7684\u7406\u8bba\u57fa\u7840\u3002\u5728\u6570\u636e\u538b\u7f29\u9886\u57df\uff0c\u76ee\u6807\u662f\u627e\u5230\u4e00\u79cd\u65b9\u5f0f\u5c06\u6570\u636e\u4ee5\u6700\u5c11\u7684\u6bd4\u7279\u6570\u8868\u793a\uff0c\u8fd9\u4e0e\u5bfb\u627e\u6570\u636e\u7684\u6700\u77ed\u7a0b\u5e8f\uff08\u5373\u6700\u5c0f\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff09\u5bc6\u5207\u76f8\u5173\u3002\u7406\u89e3\u6570\u636e\u7684\u5185\u5728\u590d\u6742\u6027\u6709\u52a9\u4e8e\u8bbe\u8ba1\u66f4\u9ad8\u6548\u7684\u538b\u7f29\u7b97\u6cd5\u3002<\/p>\n<\/li>\n

    2. \n

      \u6a21\u5f0f\u8bc6\u522b\u4e0e\u673a\u5668\u5b66\u4e60<\/strong>\uff1a\u5728\u6a21\u5f0f\u8bc6\u522b\u548c\u673a\u5668\u5b66\u4e60\u4e2d\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u88ab\u7528\u6765\u8861\u91cf\u6a21\u578b\u6216\u6570\u636e\u96c6\u7684\u590d\u6742\u5ea6\u3002\u8fd9\u6709\u52a9\u4e8e\u7406\u89e3\u5b66\u4e60\u7b97\u6cd5\u7684\u80fd\u529b\uff0c\u5224\u65ad\u5b83\u4eec\u662f\u5426\u80fd\u591f\u4ece\u6570\u636e\u4e2d\u63d0\u53d6\u51fa\u6709\u4ef7\u503c\u7684\u4fe1\u606f\u3002\u4f8b\u5982\uff0c\u901a\u8fc7\u6bd4\u8f83\u6a21\u578b\u751f\u6210\u6570\u636e\u7684\u590d\u6742\u6027\uff0c\u53ef\u4ee5\u8bc4\u4f30\u6a21\u578b\u7684\u6cdb\u5316\u80fd\u529b\u3002<\/p>\n<\/li>\n

    3. \n

      \u4eba\u5de5\u667a\u80fd\uff08AI\uff09<\/strong>\uff1a\u5728AI\u9886\u57df\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u6982\u5ff5\u88ab\u7528\u6765\u63a2\u7d22\u667a\u80fd\u884c\u4e3a\u7684\u672c\u8d28\uff0c\u5c24\u5176\u662f\u5728\u7406\u89e3\u548c\u751f\u6210\u590d\u6742\u6a21\u5f0f\u65b9\u9762\u7684\u80fd\u529b\u3002\u901a\u8fc7\u8bc4\u4f30AI\u7cfb\u7edf\u751f\u6210\u6216\u7406\u89e3\u4fe1\u606f\u7684\u590d\u6742\u6027\uff0c\u7814\u7a76\u8005\u53ef\u4ee5\u66f4\u597d\u5730\u8bbe\u8ba1\u548c\u8bc4\u4f30AI\u6a21\u578b\u3002<\/p>\n<\/li>\n

    4. \n

      \u7406\u8bba\u8ba1\u7b97\u673a\u79d1\u5b66<\/strong>\uff1a\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u4e3a\u8ba1\u7b97\u7406\u8bba\u63d0\u4f9b\u4e86\u4e00\u4e2a\u6846\u67b6\uff0c\u7528\u4e8e\u63a2\u7d22\u95ee\u9898\u7684\u56fa\u6709\u590d\u6742\u5ea6\u3002\u5b83\u5728\u7814\u7a76\u7b97\u6cd5\u6700\u4f18\u6027\u3001\u95ee\u9898\u53ef\u89e3\u6027\u4ee5\u53ca\u8ba1\u7b97\u8d44\u6e90\uff08\u5982\u65f6\u95f4\u548c\u7a7a\u95f4\uff09\u9700\u6c42\u65b9\u9762\u63d0\u4f9b\u4e86\u91cd\u8981\u7684\u89c6\u89d2\u3002<\/p>\n<\/li>\n

    5. \n

      \u5bc6\u7801\u5b66<\/strong>\uff1a\u5728\u5bc6\u7801\u5b66\u4e2d\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u88ab\u7528\u6765\u8861\u91cf\u5bc6\u7801\u7cfb\u7edf\u7684\u5b89\u5168\u6027\u3002\u4e00\u4e2a\u5bc6\u7801\u7cfb\u7edf\u7684\u5b89\u5168\u6027\u90e8\u5206\u53d6\u51b3\u4e8e\u5176\u5bc6\u94a5\u548c\u52a0\u5bc6\u8fc7\u7a0b\u7684\u590d\u6742\u6027\u3002\u7406\u8bba\u4e0a\uff0c\u4e00\u4e2a\u5177\u6709\u9ad8\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7684\u7cfb\u7edf\u66f4\u96be\u4ee5\u88ab\u7834\u89e3\u3002<\/p>\n<\/li>\n

    6. \n

      \u751f\u7269\u4fe1\u606f\u5b66<\/strong>\uff1a\u5728\u751f\u7269\u4fe1\u606f\u5b66\u4e2d\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u88ab\u7528\u6765\u5206\u6790DNA\u5e8f\u5217\u3001\u86cb\u767d\u8d28\u7ed3\u6784\u7b49\u751f\u7269\u5927\u5206\u5b50\u7684\u4fe1\u606f\u5185\u5bb9\u3002\u8fd9\u6709\u52a9\u4e8e\u7406\u89e3\u751f\u7269\u5927\u5206\u5b50\u7684\u529f\u80fd\u590d\u6742\u6027\u548c\u5b83\u4eec\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u3002<\/p>\n<\/li>\n

    7. \n

      \u7269\u7406\u5b66<\/strong>\uff1a\u5728\u7269\u7406\u5b66\u4e2d\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7528\u4e8e\u63a2\u7d22\u81ea\u7136\u754c\u73b0\u8c61\u7684\u590d\u6742\u5ea6\uff0c\u5c24\u5176\u662f\u5728\u7814\u7a76\u6df7\u6c8c\u7406\u8bba\u548c\u70ed\u529b\u5b66\u7b2c\u4e8c\u5b9a\u5f8b\u7684\u80cc\u666f\u4e0b\u3002<\/p>\n<\/li>\n<\/ol>\n

      \u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u901a\u8fc7\u63d0\u4f9b\u4e00\u4e2a\u91cf\u5316\u590d\u6742\u5ea6\u7684\u901a\u7528\u6846\u67b6\uff0c\u4e0d\u4ec5\u589e\u5f3a\u4e86\u6211\u4eec\u5bf9\u4fe1\u606f\u672c\u8d28\u7684\u7406\u89e3\uff0c\u8fd8\u63a8\u52a8\u4e86\u8de8\u5b66\u79d1\u9886\u57df\u5185\u6280\u672f\u548c\u7406\u8bba\u7684\u8fdb\u6b65\u3002<\/p>\n

      \u4e0e\u5176\u4ed6\u7406\u8bba\u7684\u5173\u7cfb<\/h1>\n

      \u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff08Kolmogorov Complexity\uff09\u4e0e\u4fe1\u606f\u8bba\u3001\u7b97\u6cd5\u4fe1\u606f\u8bba\u3001\u71b5\u7b49\u6982\u5ff5\u7d27\u5bc6\u76f8\u5173\uff0c\u5171\u540c\u6784\u6210\u4e86\u4fe1\u606f\u548c\u590d\u6742\u6027\u7814\u7a76\u7684\u6838\u5fc3\u7406\u8bba\u6846\u67b6\u3002\u8fd9\u4e9b\u7406\u8bba\u4e4b\u95f4\u7684\u5173\u7cfb\u4e0d\u4ec5\u63ed\u793a\u4e86\u4fe1\u606f\u5904\u7406\u548c\u8868\u793a\u7684\u4e0d\u540c\u65b9\u9762\uff0c\u800c\u4e14\u4e5f\u4e3a\u7406\u89e3\u4fe1\u606f\u672c\u8d28\u548c\u91cf\u5316\u4fe1\u606f\u590d\u6742\u6027\u63d0\u4f9b\u4e86\u591a\u7ef4\u5ea6\u7684\u89c6\u89d2\u3002<\/p>\n

      \u4e0e\u4fe1\u606f\u8bba\u7684\u5173\u7cfb<\/h3>\n

      \u4fe1\u606f\u8bba\u7531\u514b\u52b3\u5fb7\u00b7\u9999\u519c\uff08Claude Shannon\uff09\u572820\u4e16\u7eaa40\u5e74\u4ee3\u521b\u7acb\uff0c\u4e3b\u8981\u7814\u7a76\u7684\u662f\u4fe1\u606f\u7684\u4f20\u8f93\u3001\u5904\u7406\u548c\u7f16\u7801\u3002\u4fe1\u606f\u8bba\u4e2d\u7684\u4e00\u4e2a\u6838\u5fc3\u6982\u5ff5\u662f\u4fe1\u606f\u71b5\uff0c\u5b83\u8861\u91cf\u4e86\u4fe1\u606f\u7684\u4e0d\u786e\u5b9a\u6027\u6216\u968f\u673a\u6027\u3002\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u4e0e\u4fe1\u606f\u71b5\u4e4b\u95f4\u5b58\u5728\u7740\u672c\u8d28\u4e0a\u7684\u8054\u7cfb\uff1a\u71b5\u5ea6\u91cf\u4e86\u5e73\u5747\u610f\u4e49\u4e0a\u7684\u4fe1\u606f\u91cf\uff0c\u800c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u5ea6\u91cf\u4e86\u5355\u4e2a\u5bf9\u8c61\u7684\u4fe1\u606f\u91cf\u3002\u5c3d\u7ba1\u5b83\u4eec\u5173\u6ce8\u7684\u7126\u70b9\u4e0d\u540c\uff08\u71b5\u662f\u6982\u7387\u5206\u5e03\u7684\u5c5e\u6027\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u662f\u5355\u4e2a\u5bf9\u8c61\u7684\u5c5e\u6027\uff09\uff0c\u4f46\u4e24\u8005\u90fd\u8bd5\u56fe\u4ece\u672c\u8d28\u4e0a\u7406\u89e3\u548c\u91cf\u5316\u4fe1\u606f\u3002<\/p>\n

      \u4e0e\u7b97\u6cd5\u4fe1\u606f\u8bba\u7684\u5173\u7cfb<\/h3>\n

      \u7b97\u6cd5\u4fe1\u606f\u8bba\uff08Algorithmic Information Theory\uff09\uff0c\u6709\u65f6\u4e5f\u88ab\u79f0\u4e3a\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7406\u8bba\uff0c\u662f\u4ee5\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u4e3a\u57fa\u7840\uff0c\u8fdb\u4e00\u6b65\u63a2\u8ba8\u4fe1\u606f\u7684\u7b97\u6cd5\u57fa\u7840\u548c\u91cf\u5316\u95ee\u9898\u3002\u7b97\u6cd5\u4fe1\u606f\u8bba\u6269\u5c55\u4e86\u4fe1\u606f\u8bba\u7684\u8303\u7574\uff0c\u5c06\u4fe1\u606f\u7684\u5904\u7406\u548c\u8868\u793a\u4e0e\u8ba1\u7b97\u8fc7\u7a0b\u8054\u7cfb\u8d77\u6765\u3002\u5728\u7b97\u6cd5\u4fe1\u606f\u8bba\u4e2d\uff0c\u4fe1\u606f\u91cf\u4e0d\u4ec5\u4ec5\u901a\u8fc7\u4fe1\u606f\u7684\u4e0d\u786e\u5b9a\u6027\uff08\u5982\u71b5\u6240\u63cf\u8ff0\u7684\uff09\u6765\u8861\u91cf\uff0c\u8fd8\u901a\u8fc7\u5bf9\u8c61\u7684\u63cf\u8ff0\u957f\u5ea6\uff08\u5373\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff09\u6765\u91cf\u5316\u3002\u7b97\u6cd5\u4fe1\u606f\u8bba\u56e0\u6b64\u63d0\u4f9b\u4e86\u4e00\u79cd\u66f4\u4e3a\u901a\u7528\u548c\u6df1\u5165\u7684\u65b9\u6cd5\u6765\u7406\u89e3\u4fe1\u606f\u548c\u590d\u6742\u6027\u3002<\/p>\n

      \u4e0e\u71b5\u7684\u5173\u7cfb<\/h3>\n

      \u71b5\u5728\u7269\u7406\u5b66\u4e2d\u6700\u521d\u7528\u4e8e\u63cf\u8ff0\u70ed\u529b\u5b66\u7cfb\u7edf\u7684\u65e0\u5e8f\u72b6\u6001\uff0c\u800c\u5728\u4fe1\u606f\u8bba\u4e2d\uff0c\u71b5\u7528\u4e8e\u91cf\u5316\u4fe1\u606f\u7684\u4e0d\u786e\u5b9a\u6027\u3002\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u4e0e\u71b5\u7684\u5173\u7cfb\u4f53\u73b0\u5728\u5b83\u4eec\u90fd\u8bd5\u56fe\u91cf\u5316\u4fe1\u606f\u7684\u590d\u6742\u5ea6\uff0c\u4f46\u89d2\u5ea6\u4e0d\u540c\u3002\u71b5\u5173\u6ce8\u7684\u662f\u4fe1\u606f\u6e90\u4ea7\u751f\u7684\u5e73\u5747\u4fe1\u606f\u91cf\uff0c\u800c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u5173\u6ce8\u7684\u662f\u5355\u4e2a\u5b9e\u4f53\u6216\u5b57\u7b26\u4e32\u7684\u590d\u6742\u5ea6\u3002\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u53ef\u4ee5\u88ab\u89c6\u4e3a\u5bf9\u71b5\u6982\u5ff5\u7684\u4e00\u79cd\u8865\u5145\uff0c\u63d0\u4f9b\u4e86\u4e00\u79cd\u4ece\u6700\u77ed\u7a0b\u5e8f\u957f\u5ea6\u7684\u89d2\u5ea6\u91cf\u5316\u4fe1\u606f\u590d\u6742\u6027\u7684\u65b9\u6cd5\u3002<\/p>\n

      \u603b\u4e4b\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u4e0e\u4fe1\u606f\u8bba\u3001\u7b97\u6cd5\u4fe1\u606f\u8bba\u3001\u71b5\u7b49\u6982\u5ff5\u6784\u6210\u4e86\u7406\u89e3\u548c\u91cf\u5316\u4fe1\u606f\u7684\u590d\u6742\u6846\u67b6\u3002\u8fd9\u4e9b\u7406\u8bba\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u548c\u8865\u5145\u5173\u7cfb\u52a0\u6df1\u4e86\u6211\u4eec\u5bf9\u4fe1\u606f\u672c\u8d28\u7684\u7406\u89e3\uff0c\u5e76\u5728\u8ba1\u7b97\u673a\u79d1\u5b66\u3001\u6570\u5b66\u3001\u7269\u7406\u5b66\u7b49\u591a\u4e2a\u9886\u57df\u4e2d\u53d1\u6325\u7740\u91cd\u8981\u4f5c\u7528\u3002\u901a\u8fc7\u63a2\u7d22\u8fd9\u4e9b\u7406\u8bba\u4e4b\u95f4\u7684\u8054\u7cfb\uff0c\u7814\u7a76\u8005\u80fd\u591f\u66f4\u5168\u9762\u5730\u7406\u89e3\u4fe1\u606f\u7684\u6027\u8d28\u548c\u590d\u6742\u6027\uff0c\u4e3a\u4fe1\u606f\u5904\u7406\u3001\u6570\u636e\u5206\u6790\u548c\u7406\u8bba\u7814\u7a76\u63d0\u4f9b\u4e86\u575a\u5b9e\u7684\u7406\u8bba\u57fa\u7840\u3002<\/p>\n

      \u5b9e\u9645\u4f8b\u5b50<\/h1>\n

      \u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff08Kolmogorov Complexity\uff09\u53ca\u5176\u5e94\u7528\uff0c\u6211\u4eec\u53ef\u4ee5\u8003\u8651\u4e00\u4e9b\u5b9e\u9645\u7684\u4f8b\u5b50\u3002\u7531\u4e8e\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u672c\u8d28\u4e0a\u662f\u4e0d\u53ef\u8ba1\u7b97\u7684\uff0c\u8fd9\u4e9b\u4f8b\u5b50\u5c06\u91cd\u70b9\u5728\u4e8e\u63d0\u4f9b\u76f4\u89c2\u7684\u7406\u89e3\uff0c\u800c\u4e0d\u662f\u7cbe\u786e\u7684\u8ba1\u7b97\u3002<\/p>\n

      \u4f8b1\uff1a\u7b80\u5355\u5b57\u7b26\u4e32\u4e0e\u968f\u673a\u5b57\u7b26\u4e32<\/h2>\n

      \u5047\u8bbe\u6211\u4eec\u6709\u4e24\u4e2a\u5b57\u7b26\u4e32\uff1a<\/p>\n

        \n
      • \u5b57\u7b26\u4e32A: "AAAAAA….AAAA"\uff081000\u4e2a’A’\u8fde\u7eed\u6392\u5217\uff09<\/li>\n
      • \u5b57\u7b26\u4e32B: "D7fj3kD…2jDk"\uff081000\u4e2a\u5b57\u7b26\uff0c\u968f\u673a\u751f\u6210\uff09<\/li>\n<\/ul>\n

        \u76f4\u89c2\u4e0a\uff0c\u5b57\u7b26\u4e32A\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u8f83\u4f4e\uff0c\u56e0\u4e3a\u6211\u4eec\u53ef\u4ee5\u7528\u975e\u5e38\u77ed\u7684\u7a0b\u5e8f\u6765\u63cf\u8ff0\u5b83\uff0c\u6bd4\u5982\uff1a\u201c\u8f93\u51fa’A’1000\u6b21\u201d\u3002\u800c\u5b57\u7b26\u4e32B\u770b\u8d77\u6765\u662f\u968f\u673a\u7684\uff0c\u6ca1\u6709\u660e\u663e\u7684\u6a21\u5f0f\u6216\u91cd\u590d\uff0c\u56e0\u6b64\u7528\u4e00\u4e2a\u7b80\u77ed\u7684\u7a0b\u5e8f\u63cf\u8ff0\u5b83\u662f\u975e\u5e38\u56f0\u96be\u7684\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba4\u4e3a\u5b57\u7b26\u4e32B\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u8f83\u9ad8\u3002<\/p>\n

        \u4f8b2\uff1a\u56fe\u50cf\u538b\u7f29<\/h2>\n

        \u8003\u8651\u4e24\u5f20\u56fe\u50cf\uff1a<\/p>\n

          \n
        • \u56fe\u50cf1\uff1a\u4e00\u5f20\u7eaf\u767d\u8272\u7684\u56fe\u50cf\u3002<\/li>\n
        • \u56fe\u50cf2\uff1a\u4e00\u5f20\u5305\u542b\u590d\u6742\u666f\u8c61\u7684\u7167\u7247\uff0c\u6bd4\u5982\u4e00\u5f20\u68ee\u6797\u7684\u7167\u7247\u3002<\/li>\n<\/ul>\n

          \u56fe\u50cf1\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u76f8\u5bf9\u8f83\u4f4e\uff0c\u56e0\u4e3a\u6211\u4eec\u53ef\u4ee5\u7528\u5f88\u77ed\u7684\u63cf\u8ff0\u6765\u751f\u6210\u5b83\uff0c\u4f8b\u5982\uff1a\u201c\u751f\u6210\u4e00\u4e2a\u5c3a\u5bf8\u4e3a1000×1000\u7684\u7eaf\u767d\u8272\u56fe\u50cf\u201d\u3002\u800c\u56fe\u50cf2\u5305\u542b\u4e86\u5927\u91cf\u7684\u7ec6\u8282\u548c\u968f\u673a\u6027\uff0c\u4f7f\u5f97\u4efb\u4f55\u8bd5\u56fe\u7cbe\u786e\u91cd\u73b0\u8fd9\u5f20\u56fe\u50cf\u7684\u7a0b\u5e8f\u90fd\u5c06\u76f8\u5bf9\u8f83\u957f\u3002\u56e0\u6b64\uff0c\u56fe\u50cf2\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u66f4\u9ad8\u3002<\/p>\n

          \u4f8b3\uff1a\u6570\u636e\u538b\u7f29\u7684\u5e94\u7528<\/h2>\n

          \u5728\u6570\u636e\u538b\u7f29\u9886\u57df\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7684\u6982\u5ff5\u88ab\u7528\u6765\u8bc4\u4f30\u6570\u636e\u7684\u538b\u7f29\u6f5c\u529b\u3002\u7406\u8bba\u4e0a\uff0c\u4e00\u4e2a\u6570\u636e\u96c6\u7684\u590d\u6742\u6027\u8d8a\u4f4e\uff0c\u5b83\u88ab\u538b\u7f29\u540e\u7684\u5927\u5c0f\u5c31\u53ef\u80fd\u8d8a\u5c0f\u3002\u8fd9\u662f\u56e0\u4e3a\u4f4e\u590d\u6742\u6027\u7684\u6570\u636e\u53ef\u4ee5\u901a\u8fc7\u8f83\u77ed\u7684\u63cf\u8ff0\u6765\u91cd\u5efa\u3002\u5b9e\u9645\u4e0a\uff0c\u538b\u7f29\u7b97\u6cd5\u5c1d\u8bd5\u627e\u5230\u6570\u636e\u4e2d\u7684\u6a21\u5f0f\u548c\u91cd\u590d\uff0c\u4ee5\u51cf\u5c11\u5b58\u50a8\u6216\u4f20\u8f93\u6240\u9700\u7684\u4fe1\u606f\u91cf\u3002\u867d\u7136\u6211\u4eec\u4e0d\u80fd\u76f4\u63a5\u8ba1\u7b97\u6570\u636e\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff0c\u4f46\u901a\u8fc7\u89c2\u5bdf\u6570\u636e\u538b\u7f29\u524d\u540e\u7684\u5927\u5c0f\u53d8\u5316\uff0c\u6211\u4eec\u53ef\u4ee5\u95f4\u63a5\u5730\u63a8\u65ad\u5176\u590d\u6742\u6027\u3002<\/p>\n

          \u4f8b4\uff1a\u7a0b\u5e8f\u6700\u5c0f\u5316<\/h2>\n

          \u8003\u8651\u89e3\u51b3\u7279\u5b9a\u95ee\u9898\u7684\u4e24\u4e2a\u4e0d\u540c\u7a0b\u5e8f\uff1a<\/p>\n

            \n
          • \u7a0b\u5e8f1\uff1a\u4f7f\u7528\u4e86\u590d\u6742\u548c\u5197\u957f\u7684\u4ee3\u7801\u6765\u89e3\u51b3\u95ee\u9898\u3002<\/li>\n
          • \u7a0b\u5e8f2\uff1a\u7528\u66f4\u7b80\u6d01\u3001\u66f4\u9ad8\u6548\u7684\u65b9\u5f0f\u89e3\u51b3\u76f8\u540c\u7684\u95ee\u9898\u3002<\/li>\n<\/ul>\n

            \u5c3d\u7ba1\u4e24\u4e2a\u7a0b\u5e8f\u89e3\u51b3\u7684\u662f\u76f8\u540c\u7684\u95ee\u9898\uff0c\u4f46\u7a0b\u5e8f2\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u66f4\u4f4e\uff0c\u56e0\u4e3a\u5b83\u63d0\u4f9b\u4e86\u4e00\u79cd\u66f4\u7b80\u77ed\u7684\u65b9\u5f0f\u6765\u63cf\u8ff0\u5982\u4f55\u89e3\u51b3\u8be5\u95ee\u9898\u3002\u8fd9\u4e2a\u4f8b\u5b50\u8bf4\u660e\u4e86\u5728\u7f16\u7a0b\u5b9e\u8df5\u4e2d\uff0c\u8ffd\u6c42\u4ee3\u7801\u7684\u7b80\u6d01\u6027\u548c\u6548\u7387\u4e0d\u4ec5\u53ef\u4ee5\u63d0\u9ad8\u7a0b\u5e8f\u7684\u6027\u80fd\uff0c\u8fd8\u53ef\u4ee5\u964d\u4f4e\u5176\u590d\u6742\u6027\u3002<\/p>\n

            \u901a\u8fc7\u8fd9\u4e9b\u4f8b\u5b50\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u5982\u4f55\u88ab\u7528\u6765\u76f4\u89c2\u8bc4\u4f30\u5b57\u7b26\u4e32\u3001\u56fe\u50cf\u3001\u6570\u636e\u96c6\u4ee5\u53ca\u7a0b\u5e8f\u7684\u590d\u6742\u5ea6\uff0c\u4ee5\u53ca\u5b83\u5728\u538b\u7f29\u3001\u6a21\u5f0f\u8bc6\u522b\u548c\u8f6f\u4ef6\u5f00\u53d1\u7b49\u9886<\/p>\n

            \u7814\u7a76\u6311\u6218<\/h1>\n

            \u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff08Kolmogorov Complexity\uff09\u7684\u7406\u8bba\u867d\u7136\u5728\u591a\u4e2a\u9886\u57df\u5185\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\uff0c\u4f46\u5728\u5176\u7814\u7a76\u548c\u5e94\u7528\u8fc7\u7a0b\u4e2d\u4e5f\u9762\u4e34\u7740\u4e00\u7cfb\u5217\u6311\u6218\u3002\u8fd9\u4e9b\u6311\u6218\u4e0d\u4ec5\u6d89\u53ca\u5230\u7406\u8bba\u7684\u6df1\u5165\u7406\u89e3\uff0c\u8fd8\u5305\u62ec\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u9650\u5236\u548c\u56f0\u96be\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u4e3b\u8981\u7684\u7814\u7a76\u6311\u6218\uff1a<\/p>\n

            1. \u4e0d\u53ef\u8ba1\u7b97\u6027<\/h3>\n

            \u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7684\u6839\u672c\u6311\u6218\u4e4b\u4e00\u662f\u5176\u672c\u8d28\u4e0a\u7684\u4e0d\u53ef\u8ba1\u7b97\u6027\u3002\u7531\u4e8e\u4e0d\u5b58\u5728\u4e00\u4e2a\u901a\u7528\u7b97\u6cd5\u80fd\u591f\u51c6\u786e\u8ba1\u7b97\u4efb\u4f55\u7ed9\u5b9a\u5b57\u7b26\u4e32\u6216\u5bf9\u8c61\u7684\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff0c\u8fd9\u9650\u5236\u4e86\u6211\u4eec\u76f4\u63a5\u5e94\u7528\u8fd9\u4e00\u7406\u8bba\u8fdb\u884c\u7cbe\u786e\u5ea6\u91cf\u7684\u80fd\u529b\u3002\u7814\u7a76\u8005\u4eec\u9700\u8981\u5bfb\u627e\u6709\u6548\u7684\u8fd1\u4f3c\u65b9\u6cd5\u6216\u8005\u501f\u52a9\u4e8e\u5176\u4ed6\u7406\u8bba\u6765\u95f4\u63a5\u8bc4\u4f30\u590d\u6742\u6027\u3002<\/p>\n

            2. \u7406\u8bba\u4e0e\u5b9e\u8df5\u4e4b\u95f4\u7684\u5dee\u8ddd<\/h3>\n

            \u867d\u7136\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u63d0\u4f9b\u4e86\u4e00\u79cd\u7406\u8bba\u4e0a\u91cf\u5316\u4fe1\u606f\u590d\u6742\u5ea6\u7684\u65b9\u6cd5\uff0c\u4f46\u5c06\u8fd9\u4e00\u7406\u8bba\u5e94\u7528\u5230\u5b9e\u9645\u95ee\u9898\u4e2d\u5f80\u5f80\u5b58\u5728\u6311\u6218\u3002\u4f8b\u5982\uff0c\u5728\u6570\u636e\u538b\u7f29\u3001\u6a21\u5f0f\u8bc6\u522b\u7b49\u9886\u57df\uff0c\u5982\u4f55\u6709\u6548\u5730\u5229\u7528\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u6765\u6539\u8fdb\u7b97\u6cd5\u548c\u6280\u672f\uff0c\u4ecd\u7136\u662f\u4e00\u4e2a\u5f00\u653e\u7684\u7814\u7a76\u95ee\u9898\u3002<\/p>\n

            3. \u53c2\u6570\u9009\u62e9\u548c\u6a21\u578b\u4f9d\u8d56<\/h3>\n

            \u5728\u5e94\u7528\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7684\u8fc7\u7a0b\u4e2d\uff0c\u4e0d\u540c\u7684\u53c2\u6570\u9009\u62e9\u548c\u6a21\u578b\u8bbe\u5b9a\u53ef\u80fd\u4f1a\u5bf9\u590d\u6742\u6027\u4f30\u8ba1\u4ea7\u751f\u663e\u8457\u5f71\u54cd\u3002\u4f8b\u5982\uff0c\u5728\u4f7f\u7528\u57fa\u4e8e\u538b\u7f29\u7684\u65b9\u6cd5\u8fd1\u4f3c\u8ba1\u7b97\u590d\u6742\u6027\u65f6\uff0c\u4e0d\u540c\u7684\u538b\u7f29\u7b97\u6cd5\u53ef\u80fd\u4f1a\u5bfc\u81f4\u4e0d\u540c\u7684\u590d\u6742\u6027\u4f30\u8ba1\u7ed3\u679c\u3002\u8fd9\u8981\u6c42\u7814\u7a76\u8005\u5728\u5e94\u7528\u65f6\u9700\u8981\u8c28\u614e\u9009\u62e9\u53c2\u6570\u548c\u6a21\u578b\uff0c\u4ee5\u786e\u4fdd\u7ed3\u679c\u7684\u6709\u6548\u6027\u548c\u53ef\u6bd4\u8f83\u6027\u3002<\/p>\n

            4. \u591a\u6837\u6027\u548c\u666e\u9002\u6027\u7684\u5e73\u8861<\/h3>\n

            \u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u4f5c\u4e3a\u4e00\u79cd\u666e\u9002\u7684\u4fe1\u606f\u590d\u6742\u5ea6\u5ea6\u91cf\uff0c\u9700\u8981\u5728\u4e0d\u540c\u9886\u57df\u548c\u5e94\u7528\u4e2d\u5e73\u8861\u5176\u666e\u9002\u6027\u4e0e\u7279\u5b9a\u95ee\u9898\u9700\u6c42\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u5982\u4f55\u8c03\u6574\u548c\u4f18\u5316\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7684\u6982\u5ff5\uff0c\u4f7f\u5176\u65e2\u4fdd\u6301\u7406\u8bba\u7684\u4e25\u8c28\u6027\uff0c\u53c8\u80fd\u6709\u6548\u5730\u9002\u5e94\u591a\u6837\u5316\u7684\u5b9e\u9645\u5e94\u7528\u573a\u666f\uff0c\u662f\u4e00\u4e2a\u91cd\u8981\u7684\u7814\u7a76\u65b9\u5411\u3002<\/p>\n

            5. \u89e3\u91ca\u6027\u548c\u53ef\u89c6\u5316<\/h3>\n

            \u5bf9\u4e8e\u975e\u4e13\u4e1a\u4eba\u58eb\u6216\u8de8\u5b66\u79d1\u9886\u57df\u7684\u7814\u7a76\u8005\u6765\u8bf4\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7684\u6982\u5ff5\u53ef\u80fd\u8f83\u4e3a\u62bd\u8c61\u548c\u96be\u4ee5\u7406\u89e3\u3002\u56e0\u6b64\uff0c\u5982\u4f55\u6709\u6548\u5730\u89e3\u91ca\u548c\u53ef\u89c6\u5316\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff0c\u4ee5\u4fbf\u66f4\u597d\u5730\u5728\u6559\u80b2\u548c\u8de8\u5b66\u79d1\u7814\u7a76\u4e2d\u4f20\u64ad\u548c\u5e94\u7528\uff0c\u4e5f\u662f\u4e00\u4e2a\u6311\u6218\u3002<\/p>\n

            \u603b\u4e4b\uff0c\u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\u7684\u7814\u7a76\u548c\u5e94\u7528\u662f\u4e00\u4e2a\u5145\u6ee1\u6311\u6218\u7684\u9886\u57df\uff0c\u65e2\u5305\u542b\u7406\u8bba\u4e0a\u7684\u6df1\u5165\u63a2\u7d22\uff0c\u4e5f\u6d89\u53ca\u5230\u5b9e\u8df5\u4e2d\u7684\u5e94\u7528\u548c\u4f18\u5316\u3002\u89e3\u51b3\u8fd9\u4e9b\u6311\u6218\u9700\u8981\u8de8\u5b66\u79d1\u7684\u5408\u4f5c\uff0c\u4ee5\u53ca\u65b0\u7406\u8bba\u3001\u65b9\u6cd5\u548c\u6280\u672f\u7684\u4e0d\u65ad\u53d1\u5c55\u3002<\/p>\n

            \n","protected":false},"excerpt":{"rendered":"

            \u5b9a\u4e49 \u67ef\u5c14\u83ab\u6208\u6d1b\u592b\u590d\u6742\u6027\uff08Kolmogorov Comple…<\/p>\n","protected":false},"author":1,"featured_media":521,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[],"class_list":["post-224","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-machine-learning"],"_links":{"self":[{"href":"https:\/\/www.xuzhe.tj.cn\/index.php\/wp-json\/wp\/v2\/posts\/224","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.xuzhe.tj.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.xuzhe.tj.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.xuzhe.tj.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.xuzhe.tj.cn\/index.php\/wp-json\/wp\/v2\/comments?post=224"}],"version-history":[{"count":4,"href":"https:\/\/www.xuzhe.tj.cn\/index.php\/wp-json\/wp\/v2\/posts\/224\/revisions"}],"predecessor-version":[{"id":229,"href":"https:\/\/www.xuzhe.tj.cn\/index.php\/wp-json\/wp\/v2\/posts\/224\/revisions\/229"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.xuzhe.tj.cn\/index.php\/wp-json\/wp\/v2\/media\/521"}],"wp:attachment":[{"href":"https:\/\/www.xuzhe.tj.cn\/index.php\/wp-json\/wp\/v2\/media?parent=224"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.xuzhe.tj.cn\/index.php\/wp-json\/wp\/v2\/categories?post=224"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.xuzhe.tj.cn\/index.php\/wp-json\/wp\/v2\/tags?post=224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}