{"id":120714,"date":"2026-11-01T04:40:51","date_gmt":"2026-10-31T20:40:51","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/120714.html"},"modified":"2026-11-01T04:40:51","modified_gmt":"2026-10-31T20:40:51","slug":"baseline-%e4%b8%ba%e4%bb%80%e4%b9%88%e4%b8%8d%e6%94%b9%e7%ad%96%e7%95%a5%e6%a2%af%e5%ba%a6%e6%9c%9f%e6%9c%9b%ef%bc%8c%e5%8d%b4%e4%b8%8d%e4%bf%9d%e8%af%81%e6%af%8f%e6%ac%a1%e9%83%bd%e9%99%8d%e6%96%b9","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/120714.html","title":{"rendered":"Baseline \u4e3a\u4ec0\u4e48\u4e0d\u6539\u7b56\u7565\u68af\u5ea6\u671f\u671b\uff0c\u5374\u4e0d\u4fdd\u8bc1\u6bcf\u6b21\u90fd\u964d\u65b9\u5dee"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/11\/20261031204047-6ae6524f779ad.png\" alt=\"\u56de\u62a5\u4e0e\u57fa\u7ebf\u4fee\u6b63\" \/><\/p>\n<p>\u7ed9\u56de\u62a5\u51cf\u53bb\u4e00\u4e2a baseline&#xff0c;\u7ecf\u5e38\u88ab\u89e3\u91ca\u6210\u201c\u8ba9\u68af\u5ea6\u66f4\u7a33\u5b9a\u201d\u3002\u8fd9\u53e5\u8bdd\u7701\u7565\u4e86\u4e24\u4e2a\u6761\u4ef6&#xff1a;baseline \u4e0d\u80fd\u5077\u5077\u4f9d\u8d56\u672c\u6b21\u91c7\u6837\u52a8\u4f5c&#xff0c;\u800c\u4e14\u9009\u5f97\u5f88\u5dee\u65f6&#xff0c;\u65b9\u5dee\u53ef\u80fd\u66f4\u9ad8\u3002<\/p>\n<p>PPO \u539f\u8bba\u6587\u4f7f\u7528\u4f18\u52bf\u4f30\u8ba1\u6784\u9020\u7b56\u7565\u66f4\u65b0\u76ee\u6807\u3002\u7406\u89e3\u4f18\u52bf\u4e4b\u524d&#xff0c;\u53ef\u4ee5\u5148\u628a\u4e00\u4e2a\u66f4\u57fa\u7840\u7684\u6052\u7b49\u5f0f\u7b97\u6e05&#xff1a;\u5bf9\u56fa\u5b9a\u72b6\u6001&#xff0c;\u03a3_a \u03c0(a)\u2207log\u03c0(a)&#061;\u2207\u03a3_a\u03c0(a)&#061;0\u3002\u56e0\u6b64\u52a8\u4f5c\u65e0\u5173\u7684 b(s) \u5728\u7cbe\u786e\u671f\u671b\u4e2d\u4e0d\u6539\u53d8\u7b56\u7565\u68af\u5ea6\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/11\/20261031204049-6ae652514a305.png\" alt=\"\u56de\u62a5\u51cf\u53bb\u72b6\u6001\u57fa\u7ebf\u7684\u793a\u610f\" \/><\/p>\n<p>\u56fe\u8868\u7ed9\u51fa\u4e0b\u8ff0\u4e24\u4e2a\u52a8\u4f5c\u4f8b\u5b50\u7684\u7cbe\u786e\u5747\u503c\u4e0e\u65b9\u5dee&#xff1b;\u5b83\u540c\u65f6\u5c55\u793a\u4e86\u6709\u7528\u4e0e\u4e0d\u826f baseline&#xff0c;\u4e2d\u5fc3\u5316\u4e5f\u4e0d\u662f\u964d\u65b9\u5dee\u7684\u5145\u5206\u6761\u4ef6\u3002\u4e0b\u9762\u679a\u4e3e\u4e00\u4e2a Bernoulli \u7b56\u7565\u7684\u4e24\u4e2a\u52a8\u4f5c&#xff0c;\u76f4\u63a5\u7b97\u68af\u5ea6\u4f30\u8ba1\u7684\u671f\u671b\u548c\u65b9\u5dee\u3002\u53c2\u6570\u662f logit&#xff0c;score \u4e3a a\u2212p\u3002<\/p>\n<p>import math<\/p>\n<p>def moments(p, rewards, baseline):<br \/>\n    probabilities &#061; [1-p, p]<br \/>\n    gradients &#061; [(rewards[a]-baseline)*(a-p) for a in (0, 1)]<br \/>\n    mean &#061; sum(q*g for q, g in zip(probabilities, gradients))<br \/>\n    variance &#061; sum(q*(g-mean)**2 for q, g in zip(probabilities, gradients))<br \/>\n    return mean, variance<\/p>\n<p>p &#061; 0.5<br \/>\nraw &#061; moments(p, [0.0, 1.0], 0.0)<br \/>\nuseful &#061; moments(p, [0.0, 1.0], 0.5)<br \/>\npoor &#061; moments(p, [0.0, 1.0], 10.0)<br \/>\nassert all(math.isclose(x[0], 0.25) for x in (raw, useful, poor))<br \/>\nassert useful[1] &lt; raw[1] &lt; poor[1]<br \/>\n# An action-dependent subtraction need not preserve the mean.<br \/>\nbad_mean &#061; sum(0.5*(a-a)*(a-p) for a in (0, 1))<br \/>\nassert bad_mean !&#061; raw[0]<br \/>\nprint(&#034;raw\/useful\/poor mean,variance:&#034;, raw, useful, poor)<\/p>\n<p>\u5728\u8fd9\u4e2a\u5bf9\u79f0\u4f8b\u5b50\u91cc b&#061;0.5 \u6070\u597d\u4f7f\u4f30\u8ba1\u65b9\u5dee\u4e3a\u96f6&#xff0c;b&#061;10 \u5374\u628a\u65b9\u5dee\u653e\u5927\u3002\u4e00\u822c\u60c5\u5f62\u4e0b&#xff0c;\u4f7f\u65b9\u5dee\u6700\u5c0f\u7684 baseline \u8fd8\u4e0e score \u7684\u5e73\u65b9\u6743\u91cd\u6709\u5173&#xff0c;\u4e0d\u80fd\u628a\u8fd9\u91cc\u7684 0.5 \u76f4\u63a5\u63a8\u5e7f\u4e3a\u6240\u6709\u4efb\u52a1\u7684\u5e73\u5747\u56de\u62a5\u3002<\/p>\n<p>\u5de5\u7a0b\u5b9e\u73b0\u8fd8\u6709\u8ba1\u7b97\u56fe\u95ee\u9898&#xff1a;\u66f4\u65b0\u7b56\u7565\u65f6&#xff0c;\u4f18\u52bf\u4e2d\u7684 baseline \u5e38\u4f5c\u4e3a\u56fa\u5b9a\u4f30\u8ba1\u4f7f\u7528&#xff0c;\u907f\u514d\u628a\u5176\u53c2\u6570\u4f9d\u8d56\u5f15\u5165\u53e6\u4e00\u6761\u68af\u5ea6\u8def\u5f84\u3002\u82e5\u540c\u4e00\u6279\u6570\u636e\u540c\u65f6\u62df\u5408 baseline \u4e0e\u4f30\u8ba1\u68af\u5ea6&#xff0c;\u6709\u9650\u6837\u672c\u548c\u6570\u636e\u76f8\u5173\u4e5f\u9700\u8981\u5206\u6790&#xff1b;\u201c\u7cbe\u786e\u671f\u671b\u4e0d\u53d8\u201d\u4e0d\u662f\u201c\u6bcf\u4e2a\u6279\u6b21\u7ed3\u679c\u76f8\u540c\u201d\u3002<\/p>\n<p>\u672c\u6587\u662f\u4e24\u4e2a\u52a8\u4f5c\u7684\u7cbe\u786e\u679a\u4e3e&#xff0c;\u4e0d\u662f PPO \u8bad\u7ec3\u5b9e\u9a8c&#xff0c;\u4e5f\u6ca1\u6709\u9a8c\u8bc1 GAE\u3001\u4ef7\u503c\u7f51\u7edc\u6216\u591a\u5361\u540c\u6b65\u3002\u628a\u671f\u671b\u3001\u65b9\u5dee\u4e0e\u6709\u9650\u6837\u672c\u8bef\u5dee\u5206\u5f00&#xff0c;\u624d\u80fd\u5224\u65ad\u4e00\u6761\u7a33\u5b9a\u8bad\u7ec3\u66f2\u7ebf\u7a76\u7adf\u6765\u81ea\u54ea\u91cc\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7ed9\u56de\u62a5\u51cf\u53bb\u4e00\u4e2a baseline&#xff0c;\u7ecf\u5e38\u88ab\u89e3\u91ca\u6210\u201c\u8ba9\u68af\u5ea6\u66f4\u7a33\u5b9a\u201d\u3002\u8fd9\u53e5\u8bdd\u7701\u7565\u4e86\u4e24\u4e2a\u6761\u4ef6&#xff1a;baseline \u4e0d\u80fd\u5077\u5077\u4f9d\u8d56\u672c\u6b21\u91c7\u6837\u52a8\u4f5c&#xff0c;\u800c\u4e14\u9009\u5f97\u5f88\u5dee\u65f6&#xff0c;\u65b9\u5dee\u53ef\u80fd\u66f4\u9ad8\u3002<br \/>\nPPO \u539f\u8bba\u6587\u4f7f\u7528\u4f18\u52bf\u4f30\u8ba1\u6784\u9020\u7b56\u7565\u66f4\u65b0\u76ee\u6807\u3002\u7406\u89e3\u4f18\u52bf\u4e4b\u524d&#xff0c;\u53ef\u4ee5\u5148\u628a\u4e00\u4e2a\u66f4\u57fa\u7840\u7684\u6052\u7b49\u5f0f\u7b97\u6e05&#xff1a;\u5bf9\u56fa\u5b9a\u72b6\u6001&#xff0c;\u03a3_a \u03c0(a)\u2207log\u03c0(a)\u2207\u03a3_a\u03c0(a)0\u3002\u56e0\u6b64\u52a8\u4f5c\u65e0\u5173\u7684 b(s) \u5728\u7cbe\u786e\u671f\u671b\u4e2d\u4e0d\u6539\u53d8\u7b56\u7565\u68af\u5ea6\u3002 \u56fe\u8868\u7ed9\u51fa<\/p>\n","protected":false},"author":2,"featured_media":120712,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[50],"topic":[],"class_list":["post-120714","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ 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content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2026-10-31T20:40:51+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/11\/20261031204047-6ae6524f779ad.png\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/120714.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/120714.html\",\"name\":\"Baseline \u4e3a\u4ec0\u4e48\u4e0d\u6539\u7b56\u7565\u68af\u5ea6\u671f\u671b\uff0c\u5374\u4e0d\u4fdd\u8bc1\u6bcf\u6b21\u90fd\u964d\u65b9\u5dee - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"isPartOf\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\"},\"datePublished\":\"2026-10-31T20:40:51+00:00\",\"dateModified\":\"2026-10-31T20:40:51+00:00\",\"author\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\"},\"breadcrumb\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/120714.html#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.wsisp.com\/helps\/120714.html\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/120714.html#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\/\/www.wsisp.com\/helps\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Baseline 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