{"id":14723,"date":"2024-08-22T14:07:28","date_gmt":"2024-08-22T06:07:28","guid":{"rendered":"http:\/\/192.168.10.115\/?p=14723"},"modified":"2024-08-22T14:07:42","modified_gmt":"2024-08-22T06:07:42","slug":"%e9%9d%a2%e5%90%91%e8%87%aa%e5%8a%a8%e9%a9%be%e9%a9%b6%e4%bb%bf%e7%9c%9f%e6%b5%8b%e8%af%95%e7%9a%84%e9%ab%98%e8%a6%86%e7%9b%96%e5%88%87%e5%85%a5%e5%9c%ba%e6%99%af%e5%ba%93%e7%94%9f%e6%88%90%e6%96%b9","status":"publish","type":"post","link":"http:\/\/222.128.65.89:18086\/index.php\/2024\/08\/22\/14723\/","title":{"rendered":"2024-08-22 \u9762\u5411\u81ea\u52a8\u9a7e\u9a76\u4eff\u771f\u6d4b\u8bd5\u7684\u9ad8\u8986\u76d6\u5207\u5165\u573a\u666f\u5e93\u751f\u6210\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u4e3a\u89e3\u51b3\u865a\u62df\u4eff\u771f\u6d4b\u8bd5\u6240\u9700\u9ad8\u8986\u76d6\u573a\u666f\u7684\u751f\u6210\u96be\u9898\uff0c\u672c\u6587\u4ee5\u81ea\u52a8\u9a7e\u9a76\u8f66\u8f86\u4e8b\u6545\u9ad8\u53d1\u7684<strong>\u9ad8\u901f\u516c\u8def\u5207\u5165\u573a\u666f<\/strong>\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u63d0\u51fa\u4e00\u79cd\u9762\u5411\u81ea\u52a8\u9a7e\u9a76\u4eff\u771f\u6d4b\u8bd5\u7684<strong>\u5207\u5165\u573a\u666f\u8f68\u8ff9\u6a21\u578b<\/strong>\u4e0e<strong>\u9ad8\u8986\u76d6\u573a\u666f\u751f\u6210\u65b9\u6cd5<\/strong>\uff0c\u4e3a\u81ea\u52a8\u9a7e\u9a76\u865a\u62df\u4eff\u771f\u6d4b\u8bd5\u63d0\u4f9b\u6709\u529b\u652f\u6491\u3002\u672c\u6587\u63d0\u51fa\u7684<strong>\u9ad8\u8986\u76d6\u5207\u5165\u573a\u666f\u5e93\u751f\u6210\u65b9\u6cd5<\/strong>\uff1a<strong>\u9996\u5148<\/strong>\uff0c\u9009\u53d6\u6838\u5fc3\u573a\u666f\u8981\u7d20\u5efa\u7acb\u57fa\u4e8e\u8fd0\u52a8\u5b66\u7279\u5f81\u7684\u8f66\u8f86\u5207\u5165\u8f68\u8ff9\u6a21\u578b\uff0c\u91cf\u5316\u5206\u6790\u6a21\u578b\u53c2\u6570\u5206\u5e03\u7279\u5f81\uff1b<strong>\u5176\u6b21<\/strong>\uff0c\u57fa\u4e8e\u9ad8\u65af\u6df7\u5408\u6a21\u578b(Gaussian Mixture Model, GMM)\u6784\u5efa\u591a\u7ef4\u5ea6\u903b\u8f91\u573a\u666f\u53c2\u6570\u8054\u5408\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\uff1b<strong>\u6700\u540e<\/strong>\uff0c\u63d0\u51fa\u57fa\u4e8e\u54c8\u5bc6\u5c14\u987f\u8499\u7279\u5361\u6d1b(Hamiltonian Monte Carlo, HMC)\u91c7\u6837\u4e0eJensen-Shannon(JS)\u6563\u5ea6\u8986\u76d6\u5ea6\u8868\u5f81\u7684\u591a\u7ef4\u7a7a\u95f4\u573a\u666f\u53c2\u6570\u9ad8\u8986\u76d6\u751f\u6210\u65b9\u6cd5\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"939\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-215-1024x939.png\" alt=\"\" class=\"wp-image-14724\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-215-1024x939.png 1024w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-215-300x275.png 300w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-215-768x704.png 768w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-215-1536x1408.png 1536w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-215-2048x1877.png 2048w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-215-1091x1000.png 1091w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u56fe 1 \u9ad8\u8986\u76d6\u5207\u5165\u573a\u666f\u5e93\u751f\u6210\u65b9\u6cd5\u603b\u4f53\u6d41\u7a0b\u56fe<\/p>\n\n\n\n<p>\u57fa\u4e8e\u6240\u63d0\u53d6\u7684\u8f66\u8f86\u5207\u5165\u6570\u636e\u7814\u7a76\u53d1\u73b0\uff1a(1)<strong>\u57fa\u4e8e\u8d77\u59cb\u65f6\u523b\u4e3b\u8f66\u901f\u5ea6<em>V<sub>e0<\/sub><\/em>\u3001\u76f8\u5bf9\u901f\u5ea6<em>V<sub>r0<\/sub><\/em>\u3001\u8f66\u8ddd<em>D<sub>x0<\/sub><\/em>\u3001\u5207\u5165\u65f6\u957f<em>T<\/em>\u3001\u5207\u5165\u8f66\u8f86\u6a2a\u5411\u52a0\u901f\u5ea6<em>a<sub>y<\/sub><\/em>\u548c\u7eb5\u5411\u52a0\u901f\u5ea6<em>a<sub>x<\/sub><\/em>\u516d\u53c2\u6570\u7684\u6a2a\u7eb5\u5411\u8fd0\u52a8\u5b66\u6a21\u578b\u53ef\u6709\u6548\u8868\u5f81\u5207\u5165\u8f66\u8f86\u8fd0\u52a8\u8f68\u8ff9<\/strong>\uff0c\u5e73\u5747\u62df\u5408\u5747\u65b9\u6839\u8bef\u5dee\u4e3a0.7 m\uff1b(2) \u516b\u5206\u91cf\u9ad8\u65af\u6df7\u5408\u6a21\u578b\u5bf9\u5207\u5165\u573a\u666f\u53c2\u6570\u7684\u8054\u5408\u6982\u7387\u5bc6\u5ea6\u5206\u5e03\u62df\u5408\u6548\u679c\u6700\u4f73\uff1b(3) JS\u6563\u5ea6\u968f\u7740\u573a\u666f\u91c7\u6837\u6570\u91cf\u7684\u589e\u52a0\u5feb\u901f\u4e0b\u964d\u800c\u540e\u9010\u6e10<strong>\u6536\u655b\u81f30.01<\/strong>\uff0c<strong>\u5373\u8986\u76d6\u5ea6\u4e3a99%<\/strong>\uff0c\u8868\u660eHMC\u65b9\u6cd5\u53ef\u5b9e\u73b0\u5207\u5165\u573a\u666f\u53c2\u6570\u7684\u5feb\u901f\u91c7\u6837\u4e0e\u9ad8\u8986\u76d6\u751f\u6210\uff1b(4) \u672c\u65b9\u6cd5\u5b9e\u73b0\u5207\u5165\u6570\u636e\u96c6\u7247\u6bb5\u4fe1\u606f\u5168\u8986\u76d6\u6240\u9700\u573a\u666f\u751f\u6210\u6570\u91cf\u4e3a2160\u4e2a\uff0c\u76f8\u6bd4\u4e8e\u4f20\u7edf\u9a6c\u5c14\u79d1\u592b\u8499\u7279\u5361\u6d1b(Markov Chain Monte Carlo, MCMC)\u65b9\u6cd5<strong>\u6240\u9700\u573a\u666f\u751f\u6210\u91cf\u7f29\u5c0f\u7ea673\u500d<\/strong>\uff0c\u6d4b\u8bd5\u6548\u7387\u663e\u8457\u63d0\u9ad8\uff0c\u63a8\u8350\u7528\u4e8e\u9ad8\u901f\u516c\u8def\u5168\u91cf\u5207\u5165\u573a\u666f\u5e93\u6784\u5efa\u3002<\/p>\n\n\n\n<p><strong>1 \u7814\u7a76\u80cc\u666f<\/strong><\/p>\n\n\n\n<p>\u81ea\u52a8\u9a7e\u9a76\u5904\u4e8eL2\u7ea7\u5411L3\u7ea7\u7a81\u7834\u7684\u5173\u952e\u9636\u6bb5\uff0c\u653f\u7b56\u6cd5\u89c4\u3001\u7528\u6237\u9700\u6c42\u3001\u6280\u672f\u7814\u53d1\u7b49\u63a8\u52a8\u9ad8\u7b49\u7ea7\u81ea\u52a8\u9a7e\u9a76\u8f66\u8f86\u4ea7\u4e1a\u5316\u843d\u5730\u3002<strong>\u4eff\u771f\u6d4b\u8bd5<\/strong>\u56e0\u5176<strong>\u9ad8\u6548\u7387\u3001\u4f4e\u6210\u672c<\/strong>\u7279\u70b9\uff0c\u5df2\u6210\u4e3a\u81ea\u52a8\u9a7e\u9a76\u6d4b\u8bd5\u9a8c\u8bc1\u4e2d\u5fc5\u4e0d\u53ef\u5c11\u7684\u4e00\u73af\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"374\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-216-1024x374.png\" alt=\"\" class=\"wp-image-14725\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-216-1024x374.png 1024w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-216-300x109.png 300w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-216-768x280.png 768w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-216.png 1080w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u56fe 2 \u81ea\u52a8\u9a7e\u9a76\u5b89\u5168\u6027\u6d4b\u8bd5\u9700\u6c42\u548c\u6d4b\u8bd5\u65b9\u5f0f<\/p>\n\n\n\n<p>\u5728\u81ea\u52a8\u9a7e\u9a76\u7b97\u6cd5\u4eff\u771f\u5f00\u53d1\u4e0e\u6d4b\u8bd5\u4e2d\uff0c<strong>\u672c\u5730\u5316\u3001\u53c2\u6570\u5316\u3001\u9ad8\u8986\u76d6\u7684\u865a\u62df\u573a\u666f\u751f\u6210\u6280\u672f\u662f\u6838\u5fc3<\/strong>\u3002\u5f53\u524d\u7814\u7a76\u4e2d\u7684\u4eff\u771f\u6d4b\u8bd5\u5207\u5165\u8f68\u8ff9\u6a21\u578b\u5b58\u5728\u53ef\u89e3\u91ca\u6027\u5dee\u3001\u7cbe\u5ea6\u4e0e\u751f\u6210\u6548\u7387\u4e0d\u517c\u5bb9\u7684\u95ee\u9898\uff0c\u4e14<strong>\u7f3a\u4e4f\u9762\u5411\u51c6\u5165\u76d1\u7ba1\u7684\u9ad8\u7cbe\u5ea6\u3001\u9ad8\u8986\u76d6\u3001\u9ad8\u6548\u7387\u5207\u5165\u573a\u666f\u751f\u6210\u65b9\u6cd5<\/strong>\u3002\u56e0\u6b64\uff0c\u672c\u6587\u4ee5\u4e2d\u56fd\u9053\u8def\u81ea\u7136\u9a7e\u9a76\u6570\u636e\u4e3a\u57fa\u7840\uff0c\u7814\u7a76\u9762\u5411\u81ea\u52a8\u9a7e\u9a76\u4eff\u771f\u6d4b\u8bd5\u7684\u672c\u5730\u5316\u3001\u9ad8\u8986\u76d6\u3001\u9ad8\u6548\u7387\u9ad8\u901f\u516c\u8def\u5207\u5165\u573a\u666f\u751f\u6210\u65b9\u6cd5,\u5f62\u6210\u9ad8\u901f\u516c\u8def\u5207\u5165\u573a\u666f\u5e93\uff0c\u5e94\u7528\u4e8e\u81ea\u52a8\u9a7e\u9a76\u4eff\u771f\u6d4b\u8bd5\u3002<\/p>\n\n\n\n<p><strong>2 \u6a21\u578b\u65b9\u6cd5<\/strong><\/p>\n\n\n\n<p><strong>2.1 \u57fa\u4e8e\u8f66\u8f86\u8fd0\u52a8\u5b66\u7684\u5207\u5165\u8f68\u8ff9\u6a21\u578b<\/strong><\/p>\n\n\n\n<p>\u9009\u53d6\u5207\u5165\u521d\u59cb\u65f6\u523b\u4e3b\u8f66\u901f\u5ea6\u3001\u4e24\u8f66\u76f8\u5bf9\u901f\u5ea6\u3001\u8f66\u8ddd\u4ee5\u53ca\u8868\u5f81\u5207\u5165\u8fc7\u7a0b\u7684\u5207\u5165\u65f6\u957f\u3001\u7eb5\u5411\u52a0\u901f\u5ea6\u3001\u6a2a\u5411\u52a0\u901f\u5ea6\u516d\u53c2\u6570\u6784\u5efa\u57fa\u4e8e\u8f66\u8f86\u8fd0\u52a8\u5b66\u7684\u5207\u5165\u8f68\u8ff9\u6a21\u578b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"310\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-217-1024x310.png\" alt=\"\" class=\"wp-image-14726\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-217-1024x310.png 1024w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-217-300x91.png 300w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-217-768x233.png 768w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-217.png 1080w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u56fe 3 \u57fa\u4e8e\u8f66\u8f86\u8fd0\u52a8\u5b66\u7684\u5207\u5165\u8f68\u8ff9\u6a21\u578b<\/p>\n\n\n\n<p>\u8be5\u8fd0\u52a8\u5b66\u6a21\u578b\u5c06\u5207\u5165\u8f66\u8f86\u8f68\u8ff9\u6a2a\u3001\u7eb5\u5411\u89e3\u8026\uff0c\u9053\u8def\u884c\u9a76\u65b9\u5411\u5b9a\u4e49\u4e3a\u7eb5\u5411\uff0c\u7528x\u6765\u8868\u793a\uff0c\u4e0e\u4e4b\u5782\u76f4\u7684\u65b9\u5411\u5b9a\u4e49\u4e3a\u6a2a\u5411\uff0c\u7528y\u6765\u8868\u793a\u3002\u5207\u5165\u8f66\u8f86\u6a2a\u5411\u8fd0\u52a8\u5047\u8bbe\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"564\" height=\"463\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-218.png\" alt=\"\" class=\"wp-image-14727\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-218.png 564w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-218-300x246.png 300w\" sizes=\"(max-width: 564px) 100vw, 564px\" \/><\/figure>\n\n\n\n<p>\u56fe 4 \u5207\u5165\u8f66\u8f86\u6a2a\u5411\u8fd0\u52a8\u793a\u610f\u56fe<\/p>\n\n\n\n<p>\u57fa\u4e8e\u4ee5\u4e0a\u5047\u8bbe\uff0c\u672c\u6587\u63d0\u51fa\u7684\u8f66\u8f86\u8fd0\u52a8\u5b66\u6a21\u578b\u4e3a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"832\" height=\"264\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-219.png\" alt=\"\" class=\"wp-image-14728\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-219.png 832w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-219-300x95.png 300w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-219-768x244.png 768w\" sizes=\"(max-width: 832px) 100vw, 832px\" \/><\/figure>\n\n\n\n<p>\u57fa\u4e8e\u771f\u5b9e\u9053\u8def\u5207\u5165\u8f68\u8ff9\u6570\u636e\u5bf9\u63d0\u51fa\u7684\u8f66\u8f86\u8fd0\u52a8\u5b66\u5207\u5165\u8f68\u8ff9\u6a21\u578b\u8fdb\u884c\u53c2\u6570\u6807\u5b9a\uff0c\u8ba1\u7b97\u771f\u5b9e\u8f68\u8ff9\u4e0e\u751f\u6210\u8f68\u8ff9\u66f2\u7ebf\u7684\u6a2a\u5411\u548c\u7eb5\u5411\u5e73\u5747\u5747\u65b9\u6839\u8bef\u5dee\u5206\u522b\u4e3a0.33 m\u4e0e0.54 m\uff0c\u7efc\u5408\u5e73\u5747\u5747\u65b9\u6839\u8bef\u5dee\u4e3a0.7 m\u3002<\/p>\n\n\n\n<p><strong>2.2 \u57fa\u4e8eGMM\u7684\u5207\u5165\u903b\u8f91\u573a\u666f\u6784\u5efa\u65b9\u6cd5<\/strong><\/p>\n\n\n\n<p>\u771f\u5b9e\u9053\u8def\u81ea\u7136\u9a7e\u9a76\u6570\u636e\u53d7\u4f17\u591a\u56e0\u7d20\u5f71\u54cd\uff0c\u53c2\u6570\u591a\u5448\u591a\u5cf0\u3001\u504f\u6001\u5206\u5e03\u3002\u56e0\u6b64\u672c\u6587\u91c7\u7528GMM\u8fdb\u884c\u5207\u5165\u573a\u666f\u53c2\u6570\u62df\u5408\uff0c\u4ee5\u6ee1\u8db3\u53c2\u6570\u5206\u5e03\u7279\u5f81\u3002\u5bf9\u6bd4\u53d1\u73b0\u516b\u9ad8\u65af\u5206\u91cf\u6a21\u578b\u62df\u5408\u6548\u679c\u6700\u540e\uff0c\u5219\u672c\u6587\u516d\u903b\u8f91\u573a\u666f\u53c2\u6570\u7684\u8054\u5408\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u4e3a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"462\" height=\"90\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-220.png\" alt=\"\" class=\"wp-image-14729\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-220.png 462w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-220-300x58.png 300w\" sizes=\"(max-width: 462px) 100vw, 462px\" \/><\/figure>\n\n\n\n<p>\u8ba1\u7b97\u5207\u5165\u903b\u8f91\u573a\u666f\u516d\u53c2\u6570\u7684\u8054\u5408\u6982\u7387\u5206\u5e03\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"688\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-221.png\" alt=\"\" class=\"wp-image-14730\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-221.png 600w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-221-262x300.png 262w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<p>\u56fe 5 \u8054\u5408\u6982\u7387\u5bc6\u5ea6<\/p>\n\n\n\n<p><strong>2.3 \u57fa\u4e8eHMC\u7684\u573a\u666f\u53c2\u6570\u91c7\u6837\u65b9\u6cd5<\/strong><\/p>\n\n\n\n<p>\u4f20\u7edfMCMC\u662f\u4e00\u79cd\u7528\u4e8e\u4ece\u6982\u7387\u5206\u5e03\u4e2d\u91c7\u6837\u7684\u65b9\u6cd5\uff0c\u901a\u8fc7\u6784\u9020\u7279\u5b9a\u7684\u9a6c\u5c14\u79d1\u592b\u94fe\uff0c\u968f\u673a\u6e38\u8d70\u903c\u8fd1\u76ee\u6807\u5206\u5e03\uff0c\u5728\u89e3\u51b3\u9ad8\u7ef4\u7a7a\u95f4\u95ee\u9898\u4e0a\u5177\u6709\u663e\u8457\u4f18\u52bf\uff0c\u4f46\u5b58\u5728\u6548\u7387\u4f4e\u4e0b\u95ee\u9898\u3002\u57fa\u4e8e\u54c8\u5bc6\u5c14\u987f\u52a8\u529b\u5b66\u7684HMC\u91c7\u6837\u65b9\u6cd5\u662f\u4e00\u79cd\u6539\u8fdb\u7684MCMC\u7b97\u6cd5\uff0c<strong>HMC\u5229\u7528\u76ee\u6807\u5206\u5e03\u7684\u68af\u5ea6\u4fe1\u606f\u66f4\u5feb\u5730\u5411\u9ad8\u6982\u7387\u533a\u57df\u79fb\u52a8\uff0c\u907f\u514d\u968f\u673a\u6e38\u8d70\uff0c\u53ef\u4ee5\u66f4\u9ad8\u6548\u5730\u6536\u655b\u5230\u76ee\u6807\u5206\u5e03\u3002<\/strong>\u672c\u6587\u9996\u6b21\u63d0\u51fa\u91c7\u7528HMC\u5bf9\u573a\u666f\u53c2\u6570\u91c7\u6837\uff0c\u5b9e\u73b0\u4eff\u771f\u6d4b\u8bd5\u573a\u666f\u53c2\u6570\u7684\u9ad8\u6548\u7387\u3001\u9ad8\u8986\u76d6\u751f\u6210\u3002\u5177\u4f53\u800c\u8a00\uff0cHMC\u5229\u7528&nbsp;<em>t&nbsp;<\/em>\u65f6\u523b\u91c7\u6837\u70b9\u7684\u4f4d\u7f6e\u548c\u901f\u5ea6\u63cf\u8ff0\u573a\u666f\u91c7\u6837\u8fd0\u52a8\u8fc7\u7a0b\uff0c\u91c7\u6837\u70b9\u4f4d\u7f6e\u548c\u901f\u5ea6\u5206\u522b\u5bf9\u5e94\u5f53\u524d\u91c7\u6837\u70b9\u52bf\u80fd\u548c\u52a8\u80fd\u3002\u5229\u7528\u54c8\u5bc6\u5c14\u987f\u52a8\u529b\u5b66\u8ba1\u7b97\u91c7\u6837\u70b9\u4e0b\u4e00\u65f6\u523b\u72b6\u6001\uff0c\u5176\u4e2d\u91c7\u6837\u70b9\u7684\u52bf\u80fd\u4e0e\u52a8\u80fd\u5219\u7ec4\u6210\u91c7\u6837\u7cfb\u7edf\u603b\u80fd\u91cf\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"369\" height=\"52\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-222.png\" alt=\"\" class=\"wp-image-14731\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-222.png 369w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-222-300x42.png 300w\" sizes=\"(max-width: 369px) 100vw, 369px\" \/><\/figure>\n\n\n\n<p>\u5f0f\u4e2d\uff1a<em>H<\/em>(<strong>\u00b7<\/strong>)\u662f\u54c8\u5bc6\u5c14\u987f\u51fd\u6570\uff1b<em>U<\/em>(<em>x<\/em>)\u4e3a\u67d0\u4e00\u91c7\u6837\u70b9 \u5904\u7684\u52bf\u80fd\uff1b<em>K<\/em>(<em>p<\/em>)\u4e3a\u52a8\u80fd\u3002\u7531\u80fd\u91cf\u5b88\u6052\u53ef\u77e5\uff0c\u6ca1\u6709\u5916\u529b\u5e72\u6270\u4e0b\uff0c<em>H<\/em> (<em>x<\/em>, <em>p<\/em>)\u4e0d\u53d8\uff0c\u5373\u6052\u4e3a\u5e38\u91cf\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"636\" height=\"88\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-223.png\" alt=\"\" class=\"wp-image-14732\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-223.png 636w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-223-300x42.png 300w\" sizes=\"(max-width: 636px) 100vw, 636px\" \/><\/figure>\n\n\n\n<p>\u82e5\u91c7\u6837\u70b9\u843d\u5728\u5207\u5165\u573a\u666f\u8054\u5408\u6982\u7387\u5206\u5e03\u51fd\u6570\u7684\u9ad8\u6982\u7387\u533a\u57df\uff0c\u5219\u52bf\u80fd\u589e\u5927\u3001\u52a8\u80fd\u51cf\u5c0f\uff0c\u91c7\u6837\u70b9\u4f1a\u4ee5\u8f83\u5c0f\u7684\u6b65\u5e45\u5728\u9ad8\u6982\u7387\u533a\u57df\u79fb\u52a8\uff1b\u82e5\u91c7\u6837\u70b9\u843d\u5728\u4f4e\u6982\u7387\u533a\u57df\uff0c\u52bf\u80fd\u51cf\u5c0f\u3001\u52a8\u80fd\u589e\u5927\uff0c\u91c7\u6837\u70b9\u4f1a\u5feb\u901f\u56de\u6982\u7387\u8f83\u9ad8\u7684\u533a\u57df\uff0c\u5b9e\u73b0\u4ee5\u8f83\u5c11\u7684\u91c7\u6837\u6570\u5feb\u901f\u6536\u655b\u81f3\u5207\u5165\u573a\u666f\u8054\u5408\u6982\u7387\u5206\u5e03\u51fd\u6570\u3002\u7ed3\u5408\u7269\u7406\u5b66\u4e2d\u52bf\u80fd\u4e0e\u52a8\u80fd\u516c\u5f0f\u63a8\u5bfc\u51fa\u54c8\u5bc6\u5c14\u987f\u52a8\u529b\u5b66\u7684\u504f\u5fae\u5206\u65b9\u7a0b\u4e3a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"484\" height=\"193\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-224.png\" alt=\"\" class=\"wp-image-14733\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-224.png 484w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-224-300x120.png 300w\" sizes=\"(max-width: 484px) 100vw, 484px\" \/><\/figure>\n\n\n\n<p>\u4e3a\u4e86\u6c42\u89e3\u54c8\u5bc6\u5c14\u987f\u65b9\u7a0b\uff0c\u91c7\u7528Leapfrog\u65b9\u6cd5\u5c06\u8fde\u7eed\u7684\u54c8\u5bc6\u5c14\u987f\u7cfb\u7edf\u79bb\u6563\u5316\u3002\u5177\u4f53\u65b9\u6cd5\u5982\u4e0b\uff1a<br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"694\" height=\"336\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-225.png\" alt=\"\" class=\"wp-image-14734\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-225.png 694w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-225-300x145.png 300w\" sizes=\"(max-width: 694px) 100vw, 694px\" \/><\/figure>\n\n\n\n<p>\u5176\u4e2d\uff0c\u52bf\u80fd\u51fd\u6570<em>U<\/em>(<em>x<\/em>)\u4e3a\u76ee\u6807\u5206\u5e03\u7684\u8d1f\u5bf9\u6570\u4f3c\u7136\u51fd\u6570\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"96\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-226.png\" alt=\"\" class=\"wp-image-14735\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-226.png 700w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-226-300x41.png 300w\" sizes=\"(max-width: 700px) 100vw, 700px\" \/><\/figure>\n\n\n\n<p>\u968f\u540e\u91c7\u7528Metropolis-Hasting\u65b9\u6cd5\u51b3\u5b9a\u662f\u5426\u63a5\u53d7\u6216\u62d2\u7edd\u6240\u63d0\u8bae\u7684\u6837\u672c\u3002\u91c7\u6837\u63a5\u53d7\u7387\u4e3a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"667\" height=\"66\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-227.png\" alt=\"\" class=\"wp-image-14736\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-227.png 667w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-227-300x30.png 300w\" sizes=\"(max-width: 667px) 100vw, 667px\" \/><\/figure>\n\n\n\n<p><strong>2.4\u00a0\u57fa\u4e8eJS\u6563\u5ea6\u7684\u573a\u666f\u53c2\u6570\u8986\u76d6\u5ea6<\/strong><\/p>\n\n\n\n<p>\u573a\u666f\u8986\u76d6\u5ea6\u672c\u8d28\u4e0a\u662f\u6240\u751f\u6210\u573a\u666f\u53c2\u6570\u5bf9\u771f\u5b9e\u9053\u8def\u573a\u666f\u53c2\u6570\u7684\u8986\u76d6\u5ea6\uff0c\u5373\u4e24\u7c7b\u53c2\u6570\u5206\u5e03\u76f8\u4f3c\u5ea6\u3002\u672c\u6587\u63d0\u51fa\u91c7\u7528JS\u6563\u5ea6\u91cf\u5316\u91c7\u6837\u7684\u573a\u666f\u53c2\u6570\u5206\u5e03\u5bf9\u771f\u5b9e\u6570\u636e\u5206\u5e03\u7684\u8986\u76d6\u5ea6\uff0cJS \u6563\u5ea6\u8d8a\u5c0f\uff0c\u4fe1\u606f\u635f\u8017\u8d8a\u4f4e\uff0c\u8986\u76d6\u5ea6\u8d8a\u9ad8\u3002\u5bf9\u4e8e\u4e24\u4e2a\u6982\u7387\u5206\u5e03<em>P\u00a0<\/em>\u548c<em>Q<\/em>\uff0cJS\u6563\u5ea6\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"423\" height=\"54\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-228.png\" alt=\"\" class=\"wp-image-14737\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-228.png 423w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/08\/\u56fe\u7247-228-300x38.png 300w\" sizes=\"(max-width: 423px) 100vw, 423px\" \/><\/figure>\n\n\n\n<p>JS\u6563\u5ea6\u8303\u56f4\u4e3a[0, 1]\uff0c\u5176\u5bf9\u6982\u7387\u5206\u5e03\u4e4b\u95f4\u7684\u76f8\u4f3c\u6027\u91cf\u5316\u5982\u4e0b\uff1a<\/p>\n\n\n\n<p><strong>\ud83d\udd36<\/strong>\u5982\u679cJS\u6563\u5ea6\u63a5\u8fd10\uff0c\u8868\u660e\u91c7\u6837\u5206\u5e03\u975e\u5e38\u63a5\u8fd1\u539f\u59cb\u6570\u636e\u5206\u5e03\uff0c\u91c7\u6837\u5206\u5e03\u5bf9\u771f\u5b9e\u5206\u5e03\u8986\u76d6\u5ea6\u9ad8\uff1b<\/p>\n\n\n\n<p><strong>\ud83d\udd36\u00a0<\/strong>\u5982\u679cJS\u6563\u5ea6\u63a5\u8fd11\uff0c\u8868\u793a\u91c7\u6837\u5206\u5e03\u4e0e\u771f\u5b9e\u5206\u5e03\u5dee\u5f02\u8f83\u5927\u3001\u8986\u76d6\u8f83\u4f4e\uff0c\u8fd8\u9700\u8981\u66f4\u591a\u91c7\u6837\u573a\u666f\u624d\u80fd\u6ee1\u8db3\u8986\u76d6\u5ea6\u8981\u6c42\uff1b<\/p>\n\n\n\n<p><strong>\ud83d\udd36\u00a0<\/strong>\u5982\u679cJS\u6563\u5ea6\u8d8b\u4e8e\u7a33\u5b9a\uff0c\u610f\u5473\u7740\u518d\u589e\u52a0\u91c7\u6837\u573a\u666f\u6570\u5c06\u4e0d\u4f1a\u63d0\u4f9b\u66f4\u591a\u6709\u6548\u573a\u666f\u3002<\/p>\n\n\n\n<p><strong>3 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1024px\" \/><\/figure>\n\n\n\n<p>\u56fe 6 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