{"id":3496,"date":"2026-01-29T07:59:00","date_gmt":"2026-01-28T23:59:00","guid":{"rendered":"https:\/\/www.laoyulaoyu.com\/?p=3496"},"modified":"2026-01-21T21:01:59","modified_gmt":"2026-01-21T13:01:59","slug":"%e4%bb%8e%e6%95%b0%e6%8d%ae%e4%b8%ad%e5%af%bb%e6%89%be%e7%a1%ae%e5%ae%9a%e6%80%a7%ef%bc%9a%e9%87%8f%e5%8c%96%e9%ab%98%e6%89%8b%e5%a6%82%e4%bd%95%e7%94%a8%e4%b8%89%e6%8b%9b%e5%88%92%e5%88%86%e8%a1%8c","status":"publish","type":"post","link":"https:\/\/laoyulaoyu.com\/index.php\/2026\/01\/29\/%e4%bb%8e%e6%95%b0%e6%8d%ae%e4%b8%ad%e5%af%bb%e6%89%be%e7%a1%ae%e5%ae%9a%e6%80%a7%ef%bc%9a%e9%87%8f%e5%8c%96%e9%ab%98%e6%89%8b%e5%a6%82%e4%bd%95%e7%94%a8%e4%b8%89%e6%8b%9b%e5%88%92%e5%88%86%e8%a1%8c\/","title":{"rendered":"\u4ece\u6570\u636e\u4e2d\u5bfb\u627e\u786e\u5b9a\u6027\uff1a\u91cf\u5316\u9ad8\u624b\u5982\u4f55\u7528\u4e09\u62db\u5212\u5206\u884c\u60c5\u8fd0\u884c\u533a\u95f4\uff1f"},"content":{"rendered":"\n<p>\u4f5c\u8005\uff1a<a href=\"https:\/\/www.laoyulaoyu.com\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8001\u4f59\u635e\u9c7c<\/a><\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-cyan-bluish-gray-color\">\u539f\u521b\u4e0d\u6613\uff0c\u8f6c\u8f7d\u8bf7\u6807\u660e\u51fa\u5904\u53ca\u539f\u4f5c\u8005\u3002<\/mark><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"900\" height=\"383\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2026\/01\/cover-2.png\" alt=\"\" class=\"wp-image-3498\" srcset=\"https:\/\/laoyulaoyu.com\/wp-content\/uploads\/2026\/01\/cover-2.png 900w, https:\/\/laoyulaoyu.com\/wp-content\/uploads\/2026\/01\/cover-2-300x128.png 300w, https:\/\/laoyulaoyu.com\/wp-content\/uploads\/2026\/01\/cover-2-768x327.png 768w\" sizes=\"(max-width: 900px) 100vw, 900px\" \/><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<pre class=\"wp-block-verse\"><strong>\u5199\u5728\u524d\u9762\u7684\u8bdd\uff1a<\/strong>\u5f88\u591a\u4eba\u6700\u5bb9\u6613\u72af\u7684\u9519\u8bef\uff0c\u5c31\u662f\u62ff\u4e00\u5957\u56fa\u5b9a\u7684\u65b9\u6cd5\u53bb\u786c\u5957\u5343\u53d8\u4e07\u5316\u7684\u5e02\u573a\u3002\u8fd9\u7bc7\u6587\u7ae0\u6211<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u5c06\u5206\u4eab\u4e09\u79cd\u8bc6\u522b\u884c\u60c5\u72b6\u6001\u7684\u786c\u6838\u65b9\u6cd5<\/mark>\uff1a\u4ece\u57fa\u7840\u7684\u5747\u7ebf\u903b\u8f91\uff0c\u5230\u6ce2\u52a8\u7684\u7edf\u8ba1\u89c4\u5f8b\uff0c\u518d\u5230AI\u5e38\u7528\u7684\u6570\u5b66\u6a21\u578b\u3002\u6211\u4f1a\u914d\u4e0a\u5177\u4f53\u7684\u903b\u8f91\u4ee3\u7801\u548c\u56fe\u8868\uff0c\u5e26\u4f60\u50cf\u6c14\u8c61\u5458\u4e00\u6837\u9884\u5224\u5e02\u573a\u73af\u5883\uff0c\u505a\u5230\u987a\u52bf\u800c\u4e3a\u3002<\/pre>\n<\/blockquote>\n\n\n\n<p>\u603b\u6709\u4eba\u5728\u731c\uff1a&#8221;\u8fd9\u5e02\u573a\u5230\u5e95\u662f\u5728\u84c4\u52bf\u5f85\u53d1\uff0c\u8fd8\u662f\u5728\u5077\u5077\u57cb\u96f7\uff1f&#8221;\u8bf4\u5b9e\u8bdd\uff0c\u6211\u8981\u662f\u80fd\u4e00\u773c\u770b\u7a7f\uff0c\u65e9\u5c31****\uff08<em>\u54b3\u54b3\uff0c\u5408\u89c4\u5408\u89c4<\/em>\uff09\u3002\u4e0d\u8fc7\u8bdd\u8bf4\u56de\u6765\uff0c\u5e72\u4e86\u8fd9\u4e48\u591a\u5e74\u91cf\u5316\uff0c\u8fd8\u771f\u6709\u51e0\u62db\u80fd\u5e2e\u5927\u5bb6&#8221;\u542c\u542c\u5e02\u573a\u7684\u547c\u5438\u58f0&#8221;\u3002<\/p>\n\n\n\n<p>\u4eca\u5929\u4e0d\u804a\u865a\u7684\uff0c\u76f4\u63a5\u4e0a\u786c\u6838\u5e72\u8d27\u2014\u2014<strong>\u5e02\u573a\u72b6\u6001\u8bc6\u522b<\/strong>\u3002\u8fd9\u4e0d\u662f\u4ec0\u4e48\u7b97\u547d\u795e\u5668\uff0c\u800c\u662f\u6b63\u7ecf\u7684\u7edf\u8ba1\u5b66\u65b9\u6cd5\uff0c\u534e\u5c14\u8857\u90a3\u5e2e\u91cf\u5316\u56e2\u961f\u5929\u5929\u7422\u78e8\u7684\u4e1c\u897f\u3002\u6211\u628a\u5b83\u63b0\u5f00\u63c9\u788e\uff0c\u7528\u4e09\u62db\u6559\u4f60\u8bc6\u522b\u5e02\u573a\u5230\u5e95\u5728&#8221;\u88c5\u7761&#8221;\u8fd8\u662f&#8221;\u771f\u9192&#8221;\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u2460 \u4e3a\u4ec0\u4e48\u8981\u8bc6\u522b<\/strong><strong>\u5e02\u573a<\/strong><strong>\u72b6\u6001\uff1f<\/strong><\/h2>\n\n\n\n<p>\u5e02\u573a\u72b6\u6001\u662f\u4e2a\u5565\u73a9\u610f\u513f\uff1f\u7b80\u5355\u8bf4\uff0c<strong>\u5e02\u573a\u72b6\u6001<\/strong><strong>\u5c31\u662f\u5e02\u573a\u5728\u4e00\u6bb5\u65f6\u95f4\u5185\u7684&#8221;\u6027\u683c\u7279\u5f81<\/strong>&#8220;\u3002\u5c31\u50cf\u4eba\u6709\u559c\u6012\u54c0\u4e50\uff0c\u5e02\u573a\u4e5f\u6709\u4e09\u79cd\u57fa\u672c\u9762\u5b54\uff1a<\/p>\n\n\n\n<p>1.\u00a0<strong>\u8d8b\u52bf\u578b\u6027\u683c<\/strong>\u2014\u2014\u8981\u4e48\u4e00\u8def\u5411\u5317\uff0c\u8981\u4e48\u4e00\u8def\u5411\u5357\uff0c\u76ee\u6807\u660e\u786e\u3002<\/p>\n\n\n\n<p>2.\u00a0<strong>\u9707\u8361\u578b\u6027\u683c<\/strong>\u2014\u2014\u50cf\u4e2a\u949f\u6446\uff0c\u6765\u56de\u6643\u60a0\uff0c\u6709\u6839\u770b\u4e0d\u89c1\u7684\u7ef3\u5b50\u7275\u7740\u3002<\/p>\n\n\n\n<p>3.\u00a0<strong>\u66b4\u8e81\u578b\u6027\u683c<\/strong>\u2014\u2014\u4e0a\u8e7f\u4e0b\u8df3\uff0c\u4e00\u70b9\u5c31\u7740\uff0c\u98ce\u9669\u4f20\u67d3\u7279\u522b\u5feb\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/Vk07qSNq7L1AcB635hDwerBsKpKia0AT7ukeHiamxaKwRoNicuIGKzFItKQz6EB3R8sMicyBGAKMYOgCtFkD6eGmbw\/640?wx_fmt=png&amp;from=appmsg\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><em>\u56fe1\uff1a\u6807\u666e500\u4e09\u79cd\u5e02\u573a\u72b6\u6001\u793a\u4f8b<\/em><\/p>\n\n\n\n<p>\u8bc6\u522b\u8fd9\u4e9b\u72b6\u6001\u6709\u5565\u7528\uff1f<strong>\u6838\u5fc3\u4f5c\u7528\u5c31\u4e24\u4e2a\uff1a\u89c4\u907f\u66b4\u8e81\u671f\u7684\u98ce\u9669\uff0c\u6293\u4f4f\u8d8b\u52bf\u671f\u7684\u7a97\u53e3<\/strong>\u3002\u5e02\u573a\u5d29\u76d8\u524d\u80fd\u7528\u8fd9\u62db\u907f\u5f00\u5927\u90e8\u5206\u51b2\u51fb\u7684\u670b\u53cb\uff0c\u665a\u4e0a\u7761\u5f97\u90fd\u9999\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u2461 \u6570\u636e\u51c6\u5907\uff1a\u78e8\u5200\u4e0d\u8bef\u780d\u67f4\u5de5<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><br><strong>\u4e3a\u5565\u8981\u7528\u5bf9\u6570\u6536\u76ca\u7387\uff1f<\/strong><\/h3>\n\n\n\n<p>\u5f88\u591a\u65b0\u624b\u76f4\u63a5\u7528\u4ef7\u683c\u6da8\u8dcc\u7b97\u6536\u76ca\uff0c\u8fd9\u65b9\u6cd5\u4e0d\u662f\u4e0d\u884c\uff0c\u5c31\u662f\u6709\u70b9&#8221;\u7c97\u7cd9&#8221;\u3002\u5bf9\u6570\u6536\u76ca\u7387\u6709\u51e0\u4e2a\u597d\u5904\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5bf9\u79f0\u6027\uff1a\u6da810%\u518d\u8dcc10%\uff0c\u4e0d\u4f1a\u56de\u5230\u539f\u70b9\uff0c\u5bf9\u6570\u6536\u76ca\u80fd\u53cd\u6620\u8fd9\u4e2a\u771f\u76f8\u3002<\/strong><\/li>\n\n\n\n<li><strong>\u53ef\u52a0\u6027\uff1a\u591a\u65e5\u6536\u76ca\u53ef\u4ee5\u76f4\u63a5\u76f8\u52a0\uff0c\u65b9\u4fbf\u8ba1\u7b97\u3002<\/strong><\/li>\n\n\n\n<li><strong>\u6807\u51c6\u5316\uff1a\u4e0d\u540c\u8d44\u4ea7\u3001\u4e0d\u540c\u65f6\u95f4\u5468\u671f\u90fd\u80fd\u653e\u5230\u4e00\u4e2a\u5c3a\u5ea6\u4e0a\u6bd4\u8f83\u3002<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u5b9e\u64cd\u4ee3\u7801\uff1a\u6570\u636e\u5de5\u7a0b baseline<\/strong><\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code><code># \u5bfc\u5165\u5fc5\u8981\u7684\u5e93<\/code><code>import pandas as pd<\/code><code>import numpy as np<\/code><code>from openbb import obb<\/code><code>import matplotlib.pyplot as plt<\/code><code><\/code><code># \u7b2c\u4e00\u6b65\uff1a\u83b7\u53d6\u6807\u666e500\u6570\u636e\uff08SPY\uff09<\/code><code># \u7528OpenBB\u514d\u8d39\u6570\u636e\u6e90\uff0c\u6bd4\u5543Yahoo Finance\u7684\u63a5\u53e3\u7701\u4e8b\u591a\u4e86<\/code><code>data = obb.equity.price.historical(symbol=\"SPY\", provider=\"yfinance\")<\/code><code>df&nbsp;= data.to_df()<\/code><code><\/code><code># \u7b2c\u4e8c\u6b65\uff1a\u8ba1\u7b977\u65e5\u79fb\u52a8\u5e73\u5747\uff08\u5e73\u6ed1\u77ed\u671f\u566a\u97f3\uff09<\/code><code>df&#91;'ma_7'] =&nbsp;df&#91;'close'].rolling(window=7).mean()<\/code><code><\/code><code># \u7b2c\u4e09\u6b65\uff1a\u8ba1\u7b97\u5bf9\u6570\u6536\u76ca\u7387<\/code><code># log(\u4eca\u65e5\u4ef7\u683c\/\u6628\u65e5\u4ef7\u683c) * 100\uff0c\u53d8\u6210\u767e\u5206\u6bd4\u66f4\u76f4\u89c2<\/code><code>df&#91;'log_return'] = np.log(df&#91;'close'] \/&nbsp;df&#91;'close'].shift(1)) * 100<\/code><code><\/code><code># \u5220\u9664\u7a7a\u503c\uff08\u524d7\u5929\u6ca1\u6709\u79fb\u52a8\u5e73\u5747\u503c\uff09<\/code><code>df.dropna(inplace=True)<\/code><code><\/code><code>print(df&#91;&#91;'close',&nbsp;'ma_7',&nbsp;'log_return']].tail())<\/code><\/code><\/pre>\n\n\n\n<p><strong>\u4ee3\u7801\u89e3\u8bfb<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>rolling(7)\u50cf\u7ed9\u6570\u636e\u7a7f\u4ef6\"\u5e73\u6ed1\u8863\"\uff0c\u53bb\u6389\u77ed\u671f\u6742\u97f3\u3002<\/code><\/li>\n\n\n\n<li><code>np.log()\u662f\u6838\u5fc3\u8f6c\u6362\uff0c\u628a\u4ef7\u683c\u53d8\u6210\"\u6536\u76ca\u7387\u8bed\u8a00\"\u3002<\/code><\/li>\n\n\n\n<li><code>\u6700\u540e\u4e09\u884c\u6253\u5370\uff0c\u770b\u770b\u6211\u4eec\u7684\"\u539f\u6750\u6599\"\u957f\u5565\u6837\u3002<\/code><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">\u6b65\u9aa4<\/th><th class=\"has-text-align-left\" data-align=\"left\">\u64cd\u4f5c<\/th><th class=\"has-text-align-left\" data-align=\"left\">\u76ee\u7684<\/th><th class=\"has-text-align-left\" data-align=\"left\">\u6ce8\u610f\u4e8b\u9879<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">\u6570\u636e\u83b7\u53d6<\/td><td class=\"has-text-align-left\" data-align=\"left\">OpenBB API<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u514d\u8d39\u3001\u7a33\u5b9a\u3001\u65e0\u9700\u6ce8\u518c<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u68c0\u67e5\u6570\u636e\u5b8c\u6574\u6027<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">\u5e73\u6ed1\u5904\u7406<\/td><td class=\"has-text-align-left\" data-align=\"left\">7\u65e5\u79fb\u52a8\u5e73\u5747<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u8fc7\u6ee4\u566a\u97f3\uff0c\u4fdd\u7559\u8d8b\u52bf<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u7a97\u53e3\u671f\u53ef\u8c03\u6574<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">\u6536\u76ca\u8f6c\u6362<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u5bf9\u6570\u6536\u76ca\u7387<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u5bf9\u79f0\u6027\u3001\u53ef\u6bd4\u6027<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u4e58\u4ee5100\u53d8\u767e\u5206\u6bd4<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">\u7a7a\u503c\u6e05\u7406<\/td><td class=\"has-text-align-left\" data-align=\"left\">dropna()<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u907f\u514d\u8ba1\u7b97\u9519\u8bef<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u68c0\u67e5\u5220\u9664\u6bd4\u4f8b<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u2462 \u4e09\u5927\u8bc6\u522b\u65b9\u6cd5\uff1a\u516b\u4ed9\u8fc7\u6d77\u5404\u663e\u795e\u901a<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><br><strong>\u65b9\u6cd5\u4e00\uff1a\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b\uff08HMM\uff09\uff1a\u6700\u61c2&#8221;\u524d\u540e\u6587&#8221;\u7684\u6a21\u578b<\/strong><\/h3>\n\n\n\n<p><strong>\u6838\u5fc3\u601d\u60f3<\/strong>\uff1a\u5e02\u573a\u72b6\u6001\u5c31\u50cf\u5929\u6c14\uff0c\u867d\u7136\u770b\u4e0d\u89c1\uff0c\u4f46\u4f1a\u7559\u4e0b\u75d5\u8ff9\u3002\u4eca\u5929\u7684\u72b6\u6001\u4f1a\u5f71\u54cd\u660e\u5929\uff0c\u5c31\u50cf\u4e0b\u96e8\u4e4b\u540e\u5927\u6982\u7387\u8fd8\u662f\u9634\u5929\u3002<\/p>\n\n\n\n<p><strong>\u6a21\u578b\u7279\u70b9<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5047\u8bbe\u5e02\u573a\u67093-4\u4e2a&#8221;\u9690\u85cf\u72b6\u6001&#8221;\uff1b<\/strong><\/li>\n\n\n\n<li><strong>\u6bcf\u4e2a\u72b6\u6001\u4f1a\u4ea7\u751f\u4e0d\u540c\u7684\u6536\u76ca\u7387\u5206\u5e03\uff1b<\/strong><\/li>\n\n\n\n<li><strong>\u80fd\u8ba1\u7b97\u72b6\u6001\u8f6c\u79fb\u6982\u7387\uff08\u6bd4\u5982\u4ece&#8221;\u5e73\u7a33&#8221;\u5230&#8221;\u66b4\u8e81&#8221;\u7684\u6982\u7387\uff09\u3002<\/strong><\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code><code>from&nbsp;hmmlearn.hmm&nbsp;import&nbsp;GaussianHMM<\/code><code># \u51c6\u5907\u6570\u636e\uff1a\u7528\u5bf9\u6570\u6536\u76ca\u7387\u4f5c\u4e3a\u89c2\u6d4b\u503c<\/code><code>X = df&#91;&#91;'log_return']].values<\/code><code><\/code><code># \u521d\u59cb\u5316\u6a21\u578b\uff1a\u5047\u8bbe\u67093\u4e2a\u9690\u85cf\u72b6\u6001<\/code><code># n_components=3 \u5c31\u662f\u5047\u8bbe\u5e02\u573a\u67093\u79cd\u6027\u683c<\/code><code># covariance_type=\"full\" \u5141\u8bb8\u4e0d\u540c\u72b6\u6001\u6709\u4e0d\u540c\u7684\u6ce2\u52a8\u7387<\/code><code>model = GaussianHMM(n_components=3, covariance_type=\"full\", random_state=42)<\/code><code><\/code><code># \u8bad\u7ec3\u6a21\u578b<\/code><code>model.fit(X)<\/code><code><\/code><code># \u9884\u6d4b\u6bcf\u4e2a\u65f6\u95f4\u70b9\u6700\u53ef\u80fd\u7684\u72b6\u6001<\/code><code>hidden_states = model.predict(X)<\/code><code><\/code><code># \u628a\u9884\u6d4b\u7ed3\u679c\u52a0\u5230DataFrame\u91cc<\/code><code>df&#91;'hmm_state'] = hidden_states<\/code><code>print(f\"\u6a21\u578b\u53d1\u73b0\u76843\u79cd\u72b6\u6001\u53c2\u6570\uff1a\")<\/code><code>for&nbsp;i&nbsp;in&nbsp;range(model.n_components):<\/code><code>&nbsp; &nbsp;&nbsp;print(f\"\u72b6\u6001{i}: \u5747\u503c={model.means_&#91;i]&#91;0]:.2f}%, \u65b9\u5dee={np.sqrt(model.covars_&#91;i]&#91;0]&#91;0]):.2f}%\")<\/code><\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/Vk07qSNq7L1AcB635hDwerBsKpKia0AT7aIxpdvX7n1Aoiapdj4tqtzfGAncz0zjWAg7kA8olonur7qG4JXGoIVQ\/640?wx_fmt=png&amp;from=appmsg\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><em>\u56fe2\uff1aHMM\u8bc6\u522b\u7684\u5e02\u573a\u72b6\u6001\u65f6\u95f4\u5e8f\u5217<\/em><em>\u6570\u636e\u6765\u6e90\uff1aSPY 2020-2025\u5e74\u65e5\u7ebf\uff0c\u8001\u4f59\u635e\u9c7c\u56e2\u961f\u56de\u6d4b<\/em><\/p>\n\n\n\n<p><strong>\u4f18\u52bf<\/strong>\uff1a\u61c2\u65f6\u5e8f\uff0c\u80fd\u6355\u6349\u72b6\u6001\u8f6c\u6362\u3002<strong>\u6ce8\u610f<\/strong>\uff1a\u9700\u8981\u8c03\u53c2\uff0c<code>n_components<\/code>\u8bbe\u591a\u5c11\u5408\u9002\u5f97\u8bd5\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u65b9\u6cd5\u4e8c\uff1aK-Means\u805a\u7c7b\uff1a\u6700&#8221;\u76f4\u7537&#8221;\u7684\u5206\u7ec4\u65b9\u6cd5<\/strong><\/h3>\n\n\n\n<p><strong>\u6838\u5fc3\u601d\u60f3<\/strong>\uff1a\u4e0d\u770b\u65f6\u95f4\u5148\u540e\uff0c\u53ea\u770b\u8c01\u8ddf\u8c01\u957f\u5f97\u50cf\u3002\u628a\u6536\u76ca\u7387\u6570\u636e\u70b9\u5f53\u6210\u4e00\u7fa4\u5c0f\u670b\u53cb\uff0c\u8ba9\u76f8\u4f3c\u7684\u81ea\u5df1\u62b1\u56e2\u3002<\/p>\n\n\n\n<p><strong>\u6a21\u578b\u7279\u70b9<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u65e0\u76d1\u7763\u5b66\u4e60\uff0c\u81ea\u52a8\u5206\u7ec4\u3002<\/li>\n\n\n\n<li>\u5047\u8bbe\u6bcf\u4e2a\u72b6\u6001\u662f&#8221;\u5706\u5f62&#8221;\u5206\u5e03\u3002<\/li>\n\n\n\n<li>\u8ba1\u7b97\u5feb\uff0c\u7b80\u5355\u76f4\u63a5\u3002<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code><code>from sklearn.cluster import KMeans<\/code><code><\/code><code># \u51c6\u5907\u7279\u5f81\uff1a\u7528\u6536\u76ca\u7387\u548c\u6ce2\u52a8\u7387\uff087\u65e5\u6807\u51c6\u5dee\uff09<\/code><code>df&#91;'volatility'] =&nbsp;df&#91;'log_return'].rolling(7).std()<\/code><code>features =&nbsp;df&#91;&#91;'log_return',&nbsp;'volatility']].dropna()<\/code><code><\/code><code># K-Means\u805a\u7c7b\uff0c\u4e5f\u662f3\u4e2a\u7ec4<\/code><code>kmeans = KMeans(n_clusters=3, random_state=42)<\/code><code>df.loc&#91;features.index,&nbsp;'kmeans_state'] = kmeans.fit_predict(features)<\/code><code><\/code><code># \u770b\u770b\u6bcf\u4e2a\u7ec4\u7684\u7279\u5f81<\/code><code>cluster_summary = df.groupby('kmeans_state')&#91;&#91;'log_return',&nbsp;'volatility']].mean()<\/code><code>print(\"K-Means\u805a\u7c7b\u7ed3\u679c\uff1a\")<\/code><code>print(cluster_summary)<\/code><\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/Vk07qSNq7L1AcB635hDwerBsKpKia0AT7s6ApOyZuaEDI8dgicAWjalSIKW5h8RlBpkib3dpL3IGX7AVa4bicyt2ug\/640?wx_fmt=png&amp;from=appmsg\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><em>\u56fe3\uff1aK-Means\u805a\u7c7b\u7ed3\u679c\u6563\u70b9\u56fe<\/em><\/p>\n\n\n\n<p><strong>\u4f18\u52bf<\/strong>\uff1a\u901f\u5ea6\u5feb\uff0c\u4ee3\u7801\u5c11\uff0c\u5bb9\u6613\u7406\u89e3\u3002<\/p>\n\n\n\n<p><strong>\u6ce8\u610f<\/strong>\uff1a\u5047\u8bbe\u7c07\u662f\u5706\u5f62\uff0c\u5b9e\u9645\u5e02\u573a\u53ef\u80fd\u66f4\u590d\u6742\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u65b9\u6cd5\u4e09\uff1a\u9ad8\u65af\u6df7\u5408\u6a21\u578b\uff08GMM\uff09\uff1a\u6700&#8221;\u5706\u6ed1&#8221;\u7684\u62df\u5408\u65b9\u6cd5<\/strong><\/h3>\n\n\n\n<p><strong>\u6838\u5fc3\u601d\u60f3<\/strong>\uff1aK-Means\u7684\u5347\u7ea7\u7248\uff0c\u4e0d\u5f3a\u884c\u5212\u5206\u8fb9\u754c\uff0c\u800c\u662f\u8bf4&#8221;\u4f60\u6709\u53ef\u80fd\u5c5e\u4e8eA\uff0c\u4e5f\u6709\u53ef\u80fd\u5c5e\u4e8eB\uff0c\u6211\u7ed9\u4f60\u4e2a\u6982\u7387&#8221;\u3002<\/p>\n\n\n\n<p><strong>\u6a21\u578b\u7279\u70b9<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6bcf\u4e2a\u6570\u636e\u70b9\u6709\u6982\u7387\u5f52\u5c5e\u591a\u4e2a\u72b6\u6001\u3002<\/li>\n\n\n\n<li>\u5141\u8bb8\u692d\u5706\u5f62\u7684\u5206\u5e03\uff0c\u66f4\u7075\u6d3b\u3002<\/li>\n\n\n\n<li>\u8ba1\u7b97\u91cf\u7a0d\u5927\u3002<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code><code>from&nbsp;sklearn.mixture&nbsp;import&nbsp;GaussianMixture<\/code><code><\/code><code># \u540c\u6837\u7684\u7279\u5f81<\/code><code>gmm = GaussianMixture(n_components=3, random_state=42)<\/code><code>df.loc&#91;features.index,&nbsp;'gmm_state'] = gmm.fit_predict(features)<\/code><code><\/code><code># \u67e5\u770b\u6bcf\u4e2a\u72b6\u6001\u7684\u6743\u91cd\u548c\u53c2\u6570<\/code><code>print(f\"GMM\u6a21\u578b\u53c2\u6570\uff1a\")<\/code><code>for&nbsp;i&nbsp;in&nbsp;range(3):<\/code><code>&nbsp; &nbsp;&nbsp;print(f\"\u72b6\u6001{i}: \u6743\u91cd={gmm.weights_&#91;i]:.2f}, \u5747\u503c={gmm.means_&#91;i]}, \u65b9\u5dee={gmm.covariances_&#91;i].diagonal()}\")<\/code><\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/Vk07qSNq7L1AcB635hDwerBsKpKia0AT7FPOIe3Ev3yaJW0LpYpoo94avgRyajj7lHz28oNxyuibibE6opCib8PiaXw\/640?wx_fmt=png&amp;from=appmsg\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">\u7279\u6027<\/th><th class=\"has-text-align-left\" data-align=\"left\">HMM<\/th><th class=\"has-text-align-left\" data-align=\"left\">K-Means<\/th><th class=\"has-text-align-left\" data-align=\"left\">GMM<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u65f6\u95f4\u654f\u611f\u5ea6<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u9ad8\uff08\u8003\u8651\u65f6\u5e8f\uff09<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u65e0\uff08\u9759\u6001\uff09<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u65e0\uff08\u9759\u6001\uff09<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u8ba1\u7b97\u901f\u5ea6<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u4e2d\u7b49<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u5feb<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u4e2d\u7b49\u504f\u6162<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u5206\u5e03\u5047\u8bbe<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u9ad8\u65af\u5206\u5e03<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u7403\u5f62\u7c07<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u7075\u6d3b\u9ad8\u65af\u6df7\u5408<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u53c2\u6570\u6570\u91cf<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u591a\uff08\u8f6c\u79fb\u77e9\u9635\uff09<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u5c11\uff08\u4ec5\u4e2d\u5fc3\u70b9\uff09<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u4e2d\uff08\u6743\u91cd+\u53c2\u6570\uff09<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u9002\u7528\u573a\u666f<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u8d8b\u52bf\u8f6c\u6362\u660e\u663e<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u5feb\u901f\u539f\u578b\u9a8c\u8bc1<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u590d\u6742\u72b6\u6001\u5206\u5e03<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u8c03\u53c2\u96be\u5ea6<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u9ad8<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u4f4e<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u4e2d\u7b49<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u4ece\u8bc6\u522b\u5230\u884c\u52a8\uff1a\u6784\u5efa\u72b6\u6001\u54cd\u5e94\u673a\u5236<\/strong><\/h3>\n\n\n\n<p><strong> \u57fa\u672c\u903b\u8f91\u6846\u67b6<\/strong><\/p>\n\n\n\n<p>\u8bc6\u522b\u51fa\u72b6\u6001\u540e\u548b\u7528\uff1f\u8001\u4f59\u7ed9\u4e2a\u57fa\u7840\u601d\u8def\uff1a<\/p>\n\n\n\n<p>1<strong>. \u72b6\u6001\u6620\u5c04\u8868<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u72b6\u60010\uff08\u4f4e\u6ce2\u52a8+\u6b63\u6536\u76ca\uff09\u2192\u00a0<strong>\u5173\u6ce8\u5e03\u5c40\u7a97\u53e3\uff1b<\/strong><\/li>\n\n\n\n<li>\u72b6\u60011\uff08\u4e2d\u6ce2\u52a8+\u9707\u8361\uff09\u2192\u00a0<strong>\u4fdd\u6301\u73b0\u6709\u655e\u53e3\uff1b<\/strong><\/li>\n\n\n\n<li>\u72b6\u60012\uff08\u9ad8\u6ce2\u52a8+\u8d1f\u6536\u76ca\uff09\u2192\u00a0<strong>\u98ce\u9669\u89c4\u907f\u6a21\u5f0f\u3002<\/strong><\/li>\n<\/ul>\n\n\n\n<p><strong>2. HMM\u7b56\u7565\u4ee3\u7801\u6846\u67b6<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><code># \u5047\u8bbe\u72b6\u60010=\u5e73\u7a33\uff0c\u72b6\u60011=\u4e0a\u6da8\uff0c\u72b6\u60012=\u66b4\u8e81<\/code><code># \u7b80\u5355\u89c4\u5219\uff1a\u907f\u5f00\u72b6\u60012<\/code><code><\/code><code># \u521d\u59cb\u5316\u6301\u4ed3\u4fe1\u53f7<\/code><code>df&#91;'position'] = 1 &nbsp;# \u9ed8\u8ba4\u53c2\u4e0e<\/code><code><\/code><code># \u5f53\u72b6\u6001\u4e3a2\u65f6\uff0c\u98ce\u9669\u89c4\u907f\uff08\u7a7a\u4ed3\u6216\u4fdd\u62a4\uff09<\/code><code>df.loc&#91;df&#91;'hmm_state'] == 2,&nbsp;'position'] = 0<\/code><code><\/code><code># \u8ba1\u7b97\u7b56\u7565\u6536\u76ca<\/code><code>df&#91;'strategy_return'] =&nbsp;df&#91;'log_return'] *&nbsp;df&#91;'position']<\/code><code><\/code><code># \u8ba1\u7b97\u7d2f\u8ba1\u6536\u76ca<\/code><code>df&#91;'spy_cum'] =&nbsp;df&#91;'log_return'].cumsum()<\/code><code>df&#91;'strategy_cum'] =&nbsp;df&#91;'strategy_return'].cumsum()<\/code><code><\/code><code># \u53ef\u89c6\u5316\u6bd4\u8f83<\/code><code>plt.figure(figsize=(12, 6))<\/code><code>plt.plot(df.index,&nbsp;df&#91;'spy_cum'], label='\u6807\u666e500', alpha=0.7)<\/code><code>plt.plot(df.index,&nbsp;df&#91;'strategy_cum'], label='\u72b6\u6001\u7b56\u7565', linewidth=2)<\/code><code>plt.title('HMM\u72b6\u6001\u7b56\u7565 vs \u57fa\u51c6')<\/code><code>plt.legend()<\/code><code>plt.grid(True, alpha=0.3)<\/code><code>plt.show()<\/code><\/code><\/pre>\n\n\n\n<p><strong>3. \u56de\u6d4b\u89c2\u5bdf\u8981\u70b9<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u66b4\u8e81\u671f\u662f\u5426\u907f\u5f00\u4e3b\u8981\u56de\u64a4\u3002<\/li>\n\n\n\n<li>\u4e0a\u6da8\u671f\u662f\u5426\u5728\u573a\u3002<\/li>\n\n\n\n<li>\u4ea4\u6613\u9891\u7387\u662f\u5426\u53ef\u63a5\u53d7\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u2463 \u907f\u5751\u6307\u5357<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><br><strong>\u57511\uff1a\u8fc7\u62df\u5408\uff08Overfitting\uff09\uff1a\u522b\u6d3b\u5728\u5386\u53f2\u91cc<\/strong><\/h3>\n\n\n\n<p><strong>\u75c7\u72b6<\/strong>\uff1a\u6a21\u578b\u5728\u5386\u53f2\u6570\u636e\u4e0a\u5b8c\u7f8e\uff0c\u4e00\u5b9e\u6218\u5c31\u62c9\u80ef\u3002<\/p>\n\n\n\n<p><strong>\u5bf9\u7b56<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6837\u672c\u5185\u5916\u4e25\u683c\u5206\u79bb\uff08\u81f3\u5c11\u4fdd\u755920%\u6570\u636e\u505a\u9a8c\u8bc1\uff09\u3002<\/li>\n\n\n\n<li>\u53c2\u6570\u4e0d\u8981\u8c03\u592a\u7ec6\uff08\u522b\u8ffd\u6c42\u5c0f\u6570\u70b9\u540e\u4e09\u4f4d\uff09\u3002<\/li>\n\n\n\n<li>\u7528\u6eda\u52a8\u7a97\u53e3\u56de\u6d4b\uff0c\u6a21\u62df\u771f\u5b9e\u73af\u5883\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u57512\uff1a\u72b6\u6001\u6570\u91cf\u4e71\u8bbe\uff1a\u4e0d\u662f\u8d8a\u591a\u8d8a\u597d<\/strong><\/h3>\n\n\n\n<p><strong>\u75c7\u72b6<\/strong>\uff1a\u8bbe5\u4e2a\u72b6\u6001\uff0c\u7ed3\u679c\u4e24\u4e2a\u610f\u601d\u5dee\u4e0d\u591a\u3002<\/p>\n\n\n\n<p><strong>\u5bf9\u7b56<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4ece3\u4e2a\u5f00\u59cb\u8bd5\uff08\u5e73\u7a33\u3001\u4e0a\u6da8\u3001\u66b4\u8e81\uff09\u3002<\/li>\n\n\n\n<li>\u7528BIC\/AIC\u6307\u6807\u8f85\u52a9\u5224\u65ad\u3002<\/li>\n\n\n\n<li>\u4e1a\u52a1\u903b\u8f91\u8981\u80fd\u8bf4\u901a\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u57513\uff1a\u5ffd\u7565\u4ea4\u6613\u6210\u672c\uff1a\u7eb8\u4e0a\u5bcc\u8d35\u6700\u5bb3\u4eba<\/strong><\/h3>\n\n\n\n<p><strong>\u75c7\u72b6<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u56de\u6d4b\u5e74\u531630%\uff0c\u5b9e\u76d8\u6263\u6389\u624b\u7eed\u8d39\u526915%\u3002<\/li>\n\n\n\n<li>\u72b6\u6001\u5207\u6362\u9891\u7e41\uff0c\u5929\u5929\u4e70\u5356\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>\u5bf9\u7b56<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u56de\u6d4b\u65f6\u52a0\u5165\u6ed1\u70b9\u548c\u624b\u7eed\u8d39\uff08\u81f3\u5c11\u4e07\u4e94\uff09\u3002<\/li>\n\n\n\n<li>\u52a0\u6301\u4ed3\u5e73\u6ed1\u671f\uff08\u72b6\u6001\u786e\u8ba4\u540e\u518d\u52a8\u624b\uff09\u3002<\/li>\n\n\n\n<li>\u8003\u8651\u72b6\u6001\u6301\u7eed\u6027\uff0c\u522b\u4e00\u60ca\u4e00\u4e4d\u3002<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">\u53c2\u6570\u9879<\/th><th class=\"has-text-align-left\" data-align=\"left\">\u4fdd\u5b88\u8bbe\u7f6e<\/th><th class=\"has-text-align-left\" data-align=\"left\">\u6fc0\u8fdb\u8bbe\u7f6e<\/th><th class=\"has-text-align-left\" data-align=\"left\">\u8001\u4f59\u5efa\u8bae<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">\u624b\u7eed\u8d39<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.1%<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.05%<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.08%<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">\u6ed1\u70b9<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.1%<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.05%<\/td><td class=\"has-text-align-left\" data-align=\"left\">0.08%<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">\u6700\u5c0f\u6301\u4ed3\u5468\u671f<\/td><td class=\"has-text-align-left\" data-align=\"left\">5\u5929<\/td><td class=\"has-text-align-left\" data-align=\"left\">1\u5929<\/td><td class=\"has-text-align-left\" data-align=\"left\">3\u5929<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">\u72b6\u6001\u786e\u8ba4\u9608\u503c<\/td><td class=\"has-text-align-left\" data-align=\"left\">80%<\/td><td class=\"has-text-align-left\" data-align=\"left\">50%<\/td><td class=\"has-text-align-left\" data-align=\"left\">70%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u2464 \u5b9e\u6218\u8fdb\u9636<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><strong><br>\u6280\u5de71\uff1a\u591a\u6a21\u578b\u6295\u7968\u673a\u5236<\/strong><\/h3>\n\n\n\n<p>\u522b\u53ea\u4fe1\u4e00\u4e2a\u6a21\u578b\uff0c\u8ba9HMM\u3001K-Means\u3001GMM\u6295\u7968\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e09\u4e2a\u90fd\u8bf4\u66b4\u8e81 \u2192 \u5927\u6982\u7387\u771f\u66b4\u8e81\u3002<\/li>\n\n\n\n<li>\u4e24\u4e2a\u8bf4\u5e73\u7a33 \u2192 \u4fdd\u6301\u89c2\u5bdf\u3002<\/li>\n\n\n\n<li>\u4e00\u4e2a\u8bf4\u4e0a\u6da8 \u2192 \u522b\u6025\u7740\u52a8\u624b\u3002<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code><code># \u7efc\u5408\u6253\u5206<\/code><code>df&#91;'risk_score'] = 0<\/code><code>df.loc&#91;df&#91;'hmm_state'] == 2,&nbsp;'risk_score'] += 1<\/code><code>df.loc&#91;df&#91;'kmeans_state'] == 2,&nbsp;'risk_score'] += 1 &nbsp;<\/code><code>df.loc&#91;df&#91;'gmm_state'] == 2,&nbsp;'risk_score'] += 1<\/code><code><\/code><code># \u4e24\u4e2a\u4ee5\u4e0a\u6a21\u578b\u8ba4\u4e3a\u98ce\u9669\u9ad8\uff0c\u5c31\u8fdb\u5165\u4fdd\u62a4\u6a21\u5f0f<\/code><code>df&#91;'final_position'] = np.where(df&#91;'risk_score'] &gt;= 2, 0, 1)<\/code><\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u6280\u5de72\uff1a\u878d\u5408\u6ce2\u52a8\u7387\u8fc7\u6ee4\u5668<\/strong><\/h3>\n\n\n\n<p>\u72b6\u6001\u8bc6\u522b + \u6ce2\u52a8\u7387\u53cc\u91cd\u786e\u8ba4\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><code># \u5f53\u72b6\u6001\u4e3a\u9ad8\u98ce\u9669 \u4e14 \u6ce2\u52a8\u7387 &gt; \u9608\u503c<\/code><code>vol_threshold =&nbsp;df&#91;'volatility'].quantile(0.8) &nbsp;# \u53d680%\u5206\u4f4d<\/code><code><\/code><code>df&#91;'double_check'] = np.where(<\/code><code>&nbsp; &nbsp; (df&#91;'hmm_state'] == 2) &amp; (df&#91;'volatility'] &gt; vol_threshold),<\/code><code>&nbsp; &nbsp; 0, &nbsp;# \u98ce\u9669\u89c4\u907f<\/code><code>&nbsp; &nbsp; 1 &nbsp;&nbsp;# \u6b63\u5e38\u53c2\u4e0e<\/code><code>)<\/code><\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u6280\u5de73\uff1a\u8de8\u8d44\u4ea7\u9a8c\u8bc1<\/strong><\/h3>\n\n\n\n<p>\u6807\u666e500\u66b4\u8e81\u4e86\uff0c\u770b\u770b\u56fd\u503a\u3001\u9ec4\u91d1\u7684\u72b6\u6001\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u80a1\u503a\u53cc\u66b4\u8e81 \u2192 \u7cfb\u7edf\u6027\u98ce\u9669\uff0c\u8eb2\u8eb2\u3002<\/li>\n\n\n\n<li>\u80a1\u66b4\u8e81+\u503a\u5e73\u7a33 \u2192 \u53ef\u80fd\u662f\u884c\u4e1a\u95ee\u9898\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u2465 \u89c2\u70b9\u603b\u7ed3<\/strong><\/h2>\n\n\n\n<p><strong>\u6838\u5fc3\u8981\u70b9\u56de\u987e<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6570\u636e\u6253\u5e95\uff1a\u5bf9\u6570\u6536\u76ca\u7387 + \u79fb\u52a8\u5e73\u5747\uff0c\u5e72\u51c0\u6570\u636e\u662f\u4e00\u5207\u57fa\u7840\u3002<\/li>\n\n\n\n<li>\u4e09\u5927\u65b9\u6cd5\uff1aHMM\u61c2\u65f6\u5e8f\u3001K-Means\u901f\u5ea6\u5feb\u3001GMM\u66f4\u7075\u6d3b\u3002<\/li>\n\n\n\n<li>\u72b6\u6001\u6620\u5c04\uff1a\u8bc6\u522b\u662f\u4e3a\u4e86\u884c\u52a8\uff0c\u5efa\u7acb\u6e05\u6670\u54cd\u5e94\u89c4\u5219\u3002<\/li>\n\n\n\n<li>\u8fc7\u62df\u5408\u8b66\u60d5\uff1a\u5386\u53f2\u8868\u73b0\u597d \u2260 \u672a\u6765\u597d\u7528\uff0c\u9a8c\u8bc1\u8981\u4e25\u683c\u3002<\/li>\n\n\n\n<li>\u6210\u672c\u63a7\u5236\uff1a\u522b\u88ab\u9891\u7e41\u4ea4\u6613\u5403\u6389\u5229\u6da6\uff0c\u5e73\u6ed1\u5f88\u91cd\u8981\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u8fd9\u5957\u4e1c\u897f\u522b\u6307\u671b\u5b83\u80fd\u8ba9\u4f60&#8221;\u7a33\u8d5a\u4e0d\u8d54&#8221;\u3002\u5b83\u66f4\u50cf\u662f\u4e2a<strong>\u8def\u51b5\u5bfc\u822a\u4eea\uff1a\u6709\u7684\u5730\u65b9\u80fd\u5f00\u5feb\u8f66\uff0c\u6709\u7684\u5730\u65b9\u5f97\u8e29\u5239\u8f66\uff0c\u6709\u7684\u5730\u65b9\u6700\u597d\u7ed5\u9053\u8d70<\/strong>\u3002<\/p>\n\n\n\n<p>\u771f\u6b63\u7684\u4ef7\u503c\u5728\u4e8e\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u51cf\u5c11\u62cd\u8111\u888b\u51b3\u7b56\uff1a<\/strong>\u6570\u636e\u8bf4\u8bdd\uff0c\u60c5\u7eea\u9760\u8fb9\u3002<\/li>\n\n\n\n<li><strong>\u5efa\u7acb\u7eaa\u5f8b\u6027\uff1a<\/strong>\u72b6\u6001\u4e0d\u660e\u6717\u65f6\u4e0d\u4e71\u52a8\u624b\u3002<\/li>\n\n\n\n<li><strong>\u6301\u7eed\u4f18\u5316\uff1a<\/strong>\u6a21\u578b\u53ef\u4ee5\u8fed\u4ee3\uff0c\u7ecf\u9a8c\u53ef\u4ee5\u79ef\u7d2f\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u91cf\u5316\u4ea4\u6613\u4e0d\u662f\u9884\u6d4b\u672a\u6765\uff0c\u800c\u662f<strong>\u7ba1\u7406\u4e0d\u786e\u5b9a\u6027\u7684\u5de5\u5177\u7bb1<\/strong>\u3002\u4eca\u5929\u8fd9\u4e09\u62db\uff0c\u5c31\u662f\u4f60\u7684\u745e\u58eb\u519b\u5200\u4e2d\u7684\u4e00\u628a\u5200\u7247\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><a>#\u6570\u5b57\u91d1\u878d<\/a>&nbsp;<a>#\u91cf\u5316\u903b\u8f91<\/a>&nbsp;<a>#Python\u91d1\u878d<\/a>&nbsp;<a>#\u884c\u60c5\u5206\u6790<\/a>&nbsp;<a>#\u8001\u4f59\u635e\u9c7c<\/a>&nbsp;<a>#\u5e02\u573a\u72b6\u6001\u8bc6\u522b<\/a>&nbsp;<a>#HMM\u9690\u9a6c\u5c14\u53ef\u592b<\/a>&nbsp;<a>#KMeans\u805a\u7c7b<\/a>&nbsp;<a>#\u9ad8\u65af\u6df7\u5408\u6a21\u578b<\/a>&nbsp;<a>#\u91cf\u5316\u7b56\u7565<\/a>&nbsp;<a>#\u98ce\u9669\u7ba1\u7406<\/a>&nbsp;<a>#\u6ce2\u52a8\u7387\u8fc7\u6ee4<\/a>&nbsp;<a>#\u56de\u6d4b\u9a8c\u8bc1<\/a>&nbsp;<a>#\u72b6\u6001\u8f6c\u6362<\/a>&nbsp;<a>#\u5bf9\u6570\u6536\u76ca\u7387<\/a><\/p>\n\n\n\n<p>\u611f\u8c22\u9605\u8bfb\uff01\u613f\u672c\u6587\u4e3a\u60a8\u5e26\u6765\u65b0\u542f\u53d1\u4e0e\u5b9e\u7528\u77e5\u8bc6\u3002\u82e5\u89c9\u6709\u76ca\uff0c\u8bf7\u70b9\u8d5e\u5206\u4eab\uff0c\u60a8\u7684\u652f\u6301\u662f\u6211\u521b\u4f5c\u7684\u52a8\u529b\uff0c\u6b22\u8fce\u7559\u8a00\u5fc5\u590d\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-text-align-center\"><strong>\u98ce\u9669\u63d0\u793a\uff1a<\/strong><em>\u672c<em>\u6587\u4ec5\u4f9b\u53c2\u8003\uff0c\u4e0d\u6784\u6210\u6295\u8d44\u5efa\u8bae\u3002\u91cf\u5316\u7b56\u7565\u5f00\u53d1\u5e94\u4ee5\u5b66\u4e60\u548c\u6280\u672f\u4ea4\u6d41\u4e3a\u76ee\u7684\u3002\u6295\u8d44\u6709\u98ce\u9669\uff0c\u5165\u5e02\u9700\u8c28\u614e\u3002<\/em><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4f5c\u8005\uff1a\u8001\u4f59\u635e\u9c7c \u539f\u521b\u4e0d\u6613\uff0c\u8f6c\u8f7d\u8bf7\u6807\u660e\u51fa\u5904\u53ca\u539f\u4f5c\u8005\u3002&#8230;<\/p>\n<div class=\"more-link-wrapper\"><a class=\"more-link\" href=\"https:\/\/laoyulaoyu.com\/index.php\/2026\/01\/29\/%e4%bb%8e%e6%95%b0%e6%8d%ae%e4%b8%ad%e5%af%bb%e6%89%be%e7%a1%ae%e5%ae%9a%e6%80%a7%ef%bc%9a%e9%87%8f%e5%8c%96%e9%ab%98%e6%89%8b%e5%a6%82%e4%bd%95%e7%94%a8%e4%b8%89%e6%8b%9b%e5%88%92%e5%88%86%e8%a1%8c\/\">Continue reading<span class=\"screen-reader-text\">\u4ece\u6570\u636e\u4e2d\u5bfb\u627e\u786e\u5b9a\u6027\uff1a\u91cf\u5316\u9ad8\u624b\u5982\u4f55\u7528\u4e09\u62db\u5212\u5206\u884c\u60c5\u8fd0\u884c\u533a\u95f4\uff1f<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[17,4,5,6],"class_list":{"0":"post-3496","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"hentry","6":"category-aiinvest","7":"tag-ai","10":"tag-6","11":"entry"},"_links":{"self":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts\/3496","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/comments?post=3496"}],"version-history":[{"count":2,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts\/3496\/revisions"}],"predecessor-version":[{"id":3499,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts\/3496\/revisions\/3499"}],"wp:attachment":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/media?parent=3496"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/categories?post=3496"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/tags?post=3496"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}