{"id":3830,"date":"2026-06-12T10:02:58","date_gmt":"2026-06-12T02:02:58","guid":{"rendered":"https:\/\/www.im-zu.cn\/?p=3830"},"modified":"2026-06-12T10:02:59","modified_gmt":"2026-06-12T02:02:59","slug":"%e8%ae%ba%e6%96%87%e7%a0%94%e7%a9%b6%e6%89%8b%e8%ae%b0%ef%bc%88362%ef%bc%89%ef%bc%9amonte-carlo%e9%87%87%e6%a0%b7%e7%9a%84python%e5%ae%9e%e7%8e%b0%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.im-zu.cn\/?p=3830","title":{"rendered":"\u8bba\u6587\u7814\u7a76\u624b\u8bb0\uff08362\uff09\uff1aMonte Carlo\u91c7\u6837\u7684python\u5b9e\u73b0\u65b9\u6cd5"},"content":{"rendered":"\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>def monte_carlo_sampling(\u6837\u672c\u6570\u91cf, \u5e94\u7528\u53c2\u65701, \u5e94\u7528\u53c2\u65702, \u5e94\u7528\u53c2\u65703):\n    \u6837\u672c\u6570\u636e\u96c6 = []\n    for _ in range(\u6837\u672c\u603b\u6570): # \u904d\u5386\u6837\u672c\u6570\u91cf\n        # \u968f\u673a\u89e6\u53d1\u6545\u969c\uff1a \u90e8\u5206\u5931\u6548\/\u5b8c\u5168\u5931\u6548\n        r = np.random.rand()\n        if r > 0.3:\n            \u4ee3\u7801\u516c\u5f0f = \u5e94\u7528\u53c2\u65701 * (\u5e94\u7528\u53c2\u65702 + np.random.uniform(-\u5e94\u7528\u53c2\u65703, \u5e94\u7528\u53c2\u65703))\n        else:\n            \u4ee3\u7801\u516c\u5f0f = 0.0 + np.random.uniform(0, 0.02)\n        \u6837\u672c\u53c2\u6570\u96c6.append(s_post)\n    return np.array(\u6837\u672c\u6570\u636e\u96c6)<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">monte_carlo_sampling<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">\u6837\u672c\u6570\u91cf<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">\u5e94\u7528\u53c2\u65701<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">\u5e94\u7528\u53c2\u65702<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">\u5e94\u7528\u53c2\u65703<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    \u6837\u672c\u6570\u636e\u96c6 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">\u6837\u672c\u603b\u6570<\/span><span style=\"color: #ECEFF4\">):<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #616E88\"># \u904d\u5386\u6837\u672c\u6570\u91cf<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #616E88\"># \u968f\u673a\u89e6\u53d1\u6545\u969c\uff1a \u90e8\u5206\u5931\u6548\/\u5b8c\u5168\u5931\u6548<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        r <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">random<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">rand<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> r <\/span><span style=\"color: #81A1C1\">&gt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0.3<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            \u4ee3\u7801\u516c\u5f0f <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> \u5e94\u7528\u53c2\u65701 <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">\u5e94\u7528\u53c2\u65702 <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">random<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">uniform<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #D8DEE9FF\">\u5e94\u7528\u53c2\u65703<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> \u5e94\u7528\u53c2\u65703<\/span><span style=\"color: #ECEFF4\">))<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">else<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            \u4ee3\u7801\u516c\u5f0f <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0.0<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">random<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">uniform<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0.02<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        \u6837\u672c\u53c2\u6570\u96c6<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">append<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">s_post<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">array<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">\u6837\u672c\u6570\u636e\u96c6<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u9996\u5148\uff0c\u5b9a\u4e49\u51fd\u6570monte carlo sampling\uff0c\u53c2\u6570\u4e2d\u8981\u5305\u542b\u6837\u672c\u6570\u91cf\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u6b21\uff0c\u8981\u5b9a\u4e49\u6837\u672c\u6570\u636e\u96c6\uff0c\u8fd9\u662f\u540e\u7eed\u8981\u8f93\u51fa\u6a21\u62df\u6570\u636e\u7684\u5173\u952e\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c\u4e09\uff0c\u8981\u8fdb\u884c\u4e00\u4e2a\u904d\u5386\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u6240\u9700\u8981\u7684\u53c2\u6570\uff0c\u8981\u653e\u5165\u5230\u5168\u5c40\u89d2\u5ea6\u8bbe\u8ba1\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Monte Carlo\u91c7\u6837\u65b9\u6cd5\u4e0e\u4ee3\u7801<\/p>\n","protected":false},"author":2,"featured_media":3460,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[546,682],"tags":[748,687,686,749],"class_list":["post-3830","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-academic","category-682","tag-monte-carlo","tag-687","tag-686","tag-749"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u8bba\u6587\u7814\u7a76\u624b\u8bb0\uff08362\uff09\uff1aMonte 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