{"id":27317,"date":"2025-09-28T11:19:58","date_gmt":"2025-09-28T03:19:58","guid":{"rendered":"https:\/\/aif.amtbbs.org\/?p=27317"},"modified":"2025-09-28T11:19:58","modified_gmt":"2025-09-28T03:19:58","slug":"%e4%bc%b0%e5%80%bc840%e4%ba%bfai%e5%ae%9e%e9%aa%8c%e5%ae%a4%e5%86%8d%e6%94%be%e5%a4%a7%e6%8b%9b%ef%bc%8c%e4%bb%96%e4%bb%ac%e8%a6%81%e7%bb%99%e5%a4%a7%e6%a8%a1%e5%9e%8b%e6%88%b4%e4%b8%8a%e3%80%8c","status":"publish","type":"post","link":"https:\/\/aif.amtbbs.org\/index.php\/2025\/09\/28\/27317\/","title":{"rendered":"\u4f30\u503c840\u4ebfAI\u5b9e\u9a8c\u5ba4\u518d\u653e\u5927\u62db\uff0c\u4ed6\u4eec\u8981\u7ed9\u5927\u6a21\u578b\u6234\u4e0a\u300c\u7d27\u7b8d\u5492\u300d"},"content":{"rendered":"<div class=\"article-desc\">\u5728\u5927\u6a21\u578b\u8bad\u7ec3\u65f6\uff0c\u5982\u4f55\u7ba1\u7406\u6743\u91cd\u3001\u907f\u514d\u6570\u503c\u7206\u70b8\u4e0e\u4e22\u5931\uff1fThinking Machines Lab \u7684\u65b0\u7814\u7a76\u300c\u6a21\u5757\u6d41\u5f62\u300d\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u8303\u5f0f\uff0c\u5b83\u5c06\u4f20\u7edf\u300c\u6551\u706b\u5f0f\u300d\u7684\u6570\u503c\u4fee\u6b63\uff0c\u8f6c\u53d8\u4e3a\u300c\u9884\u9632\u5f0f\u300d\u7684\u7ea6\u675f\u4f18\u5316\uff0c\u4e3a\u66f4\u597d\u5730\u8bad\u7ec3\u5927\u6a21\u578b\u63d0\u4f9b\u4e86\u5168\u65b0\u601d\u8def\u3002<\/div>\n<div id=\"postspictures\" class=\"article-content\">\n<div id=\"container\" class=\"container am-engine\" data-v-01a18e2f=\"\" data-element=\"root\">\n<p>\u521a\u521a\uff0cOpenAI\u524dCTO Mira Murati\u521b\u529e\u7684Thinking Machines Lab\u518d\u6b21\u53d1\u5e03\u6210\u679c\uff01<\/p>\n<p>\u8fd9\u662f\u4ed6\u4eec\u7ee7\u300a\u514b\u670dLLM\u63a8\u7406\u4e2d\u7684\u4e0d\u786e\u5b9a\u6027\u300b\uff08Defeating Nondeterminism in LLM Inference\uff09\u4e4b\u540e\uff0c\u7b2c\u4e8c\u7bc7\u7814\u7a76\u6587\u7ae0\u2014\u2014\u300a\u6a21\u5757\u6d41\u5f62\u300b\uff08Modular Manifolds\uff09\u3002<\/p>\n<p class=\"js_darkmode__11\"><img data-dominant-color=\"6a6c6d\" data-has-transparency=\"false\" style=\"--dominant-color: #6a6c6d;\" loading=\"lazy\" decoding=\"async\" class=\"not-transparent alignnone size-full wp-image-27318\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/d7deb21240a6ef7d8ac75457c740732a84b568.png\" width=\"1080\" height=\"1274\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/d7deb21240a6ef7d8ac75457c740732a84b568.png 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/d7deb21240a6ef7d8ac75457c740732a84b568-254x300.png 254w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/d7deb21240a6ef7d8ac75457c740732a84b568-868x1024.png 868w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/d7deb21240a6ef7d8ac75457c740732a84b568-127x150.png 127w, 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\/><\/p>\n<p>\u535a\u5ba2\u5730\u5740\uff1ahttps:\/\/thinkingmachines.ai\/blog\/modular-manifolds\/<\/p>\n<p>\u8bad\u7ec3\u5927\u578b\u795e\u7ecf\u7f51\u7edc\u5982\u540c\u300c\u8d70\u94a2\u4e1d\u300d\uff0c\u5fc5\u987b\u5c0f\u5fc3\u7ffc\u7ffc\u5730\u7ef4\u6301\u5176\u5185\u90e8\u300c\u5065\u5eb7\u300d\uff0c\u9632\u6b62\u6743\u91cd\u3001\u6fc0\u6d3b\u503c\u6216\u68af\u5ea6\u8fd9\u4e9b\u5173\u952e\u5f20\u91cf\u53d8\u5f97\u8fc7\u5927\u6216\u8fc7\u5c0f\uff0c\u4ee5\u514d\u5f15\u53d1\u6570\u503c\u6ea2\u51fa\u7b49\u4e00\u7cfb\u5217\u95ee\u9898\u3002<\/p>\n<p>\u5176\u4e2d\u4e00\u4e2a\u91cd\u8981\u7684\u601d\u8def\uff0c\u662f\u4e3a\u5927\u6a21\u578b\u63d0\u4f9b\u4e00\u5957\u7edf\u4e00\u7684\u91cf\u7ea7\u7ba1\u7406\u3002<\/p>\n<p>\u9996\u5148\u662f\u7a33\u4f4f\u57fa\u672c\u76d8\u3002<\/p>\n<p>\u4f7f\u7528Layer Norm\u6280\u672f\u628a\u6bcf\u5c42\u7684\u8f93\u51fa\u62c9\u56de\u5408\u9002\u8303\u56f4\uff0c\u5bf9\u6fc0\u6d3b\u5411\u91cf\u8fdb\u884c\u5f52\u4e00\u5316\uff08normalization\uff09<strong>\uff0c<\/strong>\u8fd9\u4e5f\u662f\u76ee\u524d\u4e00\u79cd\u666e\u904d\u7684\u505a\u6cd5\u3002<\/p>\n<p>\u5bf9\u68af\u5ea6\u66f4\u65b0\u8fdb\u884c\u5f52\u4e00\u5316\u4e5f\u5f88\u5e38\u89c1\uff0c\u4f8b\u5982Muon\u4f18\u5316\u5668\u5bf9\u66f4\u65b0\u8fdb\u884c\u8c31\u5f52\u4e00\u5316\u5904\u7406\uff0c\u4f7f\u6bcf\u4e00\u6b65\u66f4\u65b0\u7684\u5e45\u5ea6\u53ef\u63a7\u3002<\/p>\n<p>\u518d\u8fdb\u4e00\u6b65\uff0c\u662f\u76f4\u63a5\u300c\u7ba1\u4f4f\u300d\u6743\u91cd\u672c\u4f53\u3002<\/p>\n<p>\u5f52\u4e00\u5316\u6743\u91cd\u77e9\u9635\u662f\u4e00\u4e2a\u503c\u5f97\u5c1d\u8bd5\u7684\u65b9\u5411\u3002<\/p>\n<p>\u6587\u4e2d\u63d0\u51fa\u4e86\u4e00\u79cd\u91cd\u65b0\u601d\u8003\u4f18\u5316\u7b97\u6cd5\u63d0\u4f9b\u4e86\u65b0\u89c6\u89d2\uff1a\u5c06\u6743\u91cd\u5f20\u91cf\u7ea6\u675f\u5728\u67d0\u4e2a\u5b50\u6d41\u5f62\uff08submanifold\uff09\u4e0a\uff0c\u4ee5\u4fbf\u4e0e\u8fd9\u4e9b\u6d41\u5f62\u7ea6\u675f\u534f\u540c\u8bbe\u8ba1\u4f18\u5316\u7b97\u6cd5\u3002<\/p>\n<p>\u8fd9\u597d\u6bd4\u628a\u300c\u6551\u706b\u300d\u53d8\u300c\u9884\u9632\u300d\uff1a<\/p>\n<p>\u4e00\u5f00\u59cb\u5c31\u628a\u53c2\u6570\u653e\u5728\u5065\u5eb7\u533a\u95f4\uff0c\u8ba9\u8bad\u7ec3\u66f4\u7a33\u3001\u66f4\u5177\u89e3\u91ca\u6027\uff0c\u4ece\u800c\u4f7f\u5927\u6a21\u578b\u53ef\u4ee5\u66f4\u7a33\u5b9a\u3001\u9ad8\u6548\u5730\u8bad\u7ec3\u8d77\u6765\u3002<\/p>\n<h4>\u6d41\u5f62\u4f18\u5316\u5668\u7684\u5f62\u6001<\/h4>\n<p>\u6211\u4eec\u77e5\u9053\uff0c\u6d41\u5f62\u53ea\u662f\u4e00\u4e2a\u5c40\u90e8\u770b\u8d77\u6765\u5f88\u5e73\u5766\u7684\u66f2\u9762\u3002<\/p>\n<p>\u5982\u679c\u653e\u5927\u5230\u8db3\u591f\u591a\uff0c\u5b83\u770b\u8d77\u6765\u5c31\u50cf\u662f\u4e00\u4e2a\u666e\u901a\u5e73\u9762\u3002<\/p>\n<p>\u6d41\u5f62\u4e0a\u67d0\u4e00\u70b9\u9644\u8fd1\u7684\u5c40\u90e8\u5e73\u5766\u7a7a\u95f4\u79f0\u4e3a\u300c\u5207\u7a7a\u95f4\u300d\uff08tangent 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src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/959692307c8621f8882944f81e9f2d89daee74.png\" width=\"678\" height=\"94\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/959692307c8621f8882944f81e9f2d89daee74.png 678w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/959692307c8621f8882944f81e9f2d89daee74-300x42.png 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/959692307c8621f8882944f81e9f2d89daee74-150x21.png 150w\" sizes=\"auto, (max-width: 678px) 100vw, 678px\" 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https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/233a924169c44d4ad93485ba72348d3777e2b9-150x25.png 150w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/p>\n<p>\u603b\u7ed3\u6765\u8bf4\uff0c\u4e00\u9636\u6d41\u5f62\u4f18\u5316\u5668\u5305\u542b\u4e09\u4e2a\u6b65\u9aa4\uff1a<\/p>\n<ul data-id=\"ua73dd4b-M5j1kblX\">\n<li data-id=\"ld70c578-dS5JXfXb\">\u627e\u5230\u4e00\u4e2a\u5355\u4f4d\u957f\u5ea6\u7684\u5207\u5411\u91cf\uff0c\u5728\u68af\u5ea6\u65b9\u5411\u4e0a\u5c3d\u53ef\u80fd\u8fdc\uff1b<\/li>\n<li data-id=\"ld70c578-27tjomAT\">\u7528\u5b66\u4e60\u7387\u4e58\u4ee5\u8fd9\u4e2a\u65b9\u5411\uff0c\u7136\u540e\u4ece\u5f53\u524d\u6743\u91cd\u4e2d\u51cf\u53bb\uff1b<\/li>\n<li 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Muon\u300d\u95ee\u9898<strong>\u3002<\/strong><\/p>\n<p class=\"js_darkmode__86\"><img data-dominant-color=\"e7e7e7\" data-has-transparency=\"false\" style=\"--dominant-color: #e7e7e7;\" loading=\"lazy\" decoding=\"async\" class=\"not-transparent alignnone size-full wp-image-27330\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/13b8f8072a404e72a5d4704d6455d1cadf10de.png\" width=\"1080\" height=\"252\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/13b8f8072a404e72a5d4704d6455d1cadf10de.png 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/13b8f8072a404e72a5d4704d6455d1cadf10de-300x70.png 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/13b8f8072a404e72a5d4704d6455d1cadf10de-1024x239.png 1024w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/13b8f8072a404e72a5d4704d6455d1cadf10de-150x35.png 150w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/13b8f8072a404e72a5d4704d6455d1cadf10de-768x179.png 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>\u6587\u4e2d\u7684\u4e00\u4e2a\u5173\u952e\u53d1\u73b0\u662f\u4e00\u4e2a\u51f8\u4f18\u5316\u95ee\u9898\uff0c\u53ef\u4ee5\u901a\u8fc7\u6807\u51c6\u65b9\u6cd5\u2014\u2014\u5bf9\u5076\u4e0a\u5347\u6cd5\uff08dual ascent\uff09\u6765\u6c42\u89e3\u3002<\/p>\n<p class=\"js_darkmode__88\"><img data-dominant-color=\"ececec\" data-has-transparency=\"false\" style=\"--dominant-color: #ececec;\" loading=\"lazy\" decoding=\"async\" class=\"not-transparent alignnone size-full wp-image-27331\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/3346c4986a10cba379c6913898e4bc5561f87e.png\" width=\"1080\" height=\"532\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/3346c4986a10cba379c6913898e4bc5561f87e.png 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/3346c4986a10cba379c6913898e4bc5561f87e-300x148.png 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/3346c4986a10cba379c6913898e4bc5561f87e-1024x504.png 1024w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/3346c4986a10cba379c6913898e4bc5561f87e-150x74.png 150w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/3346c4986a10cba379c6913898e4bc5561f87e-768x378.png 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>\u7ecf\u8fc7\u63a8\u5bfc\uff0c\u5bf9\u5076\u51fd\u6570\u7684\u68af\u5ea6\u4e3a\uff1a<\/p>\n<p class=\"js_darkmode__90\"><img data-dominant-color=\"e7e7e7\" data-has-transparency=\"false\" style=\"--dominant-color: #e7e7e7;\" loading=\"lazy\" decoding=\"async\" class=\"not-transparent alignnone size-full wp-image-27332\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/950d76587c485f6756157344bb8f7493b32e2f.png\" width=\"1080\" height=\"178\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/950d76587c485f6756157344bb8f7493b32e2f.png 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/950d76587c485f6756157344bb8f7493b32e2f-300x49.png 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/950d76587c485f6756157344bb8f7493b32e2f-1024x169.png 1024w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/950d76587c485f6756157344bb8f7493b32e2f-150x25.png 150w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/950d76587c485f6756157344bb8f7493b32e2f-768x127.png 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>\u901a\u8fc7\u4e00\u4e2a\u5c0f\u5b9e\u9a8c\uff0c\u53ef\u4ee5\u9a8c\u8bc1\u7b97\u6cd5\u7684\u53ef\u884c\u6027\uff0c\u5b9e\u9a8c\u8bbe\u7f6e\u4e0e\u7ed3\u679c\u89c1\u56fe6\u3002<\/p>\n<p class=\"js_darkmode__92\"><img data-dominant-color=\"f1f0f0\" data-has-transparency=\"false\" style=\"--dominant-color: #f1f0f0;\" loading=\"lazy\" decoding=\"async\" class=\"not-transparent alignnone size-full wp-image-27333\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/5166ab131ad7737b757030aebf6050254e9a95.png\" width=\"1080\" height=\"622\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/5166ab131ad7737b757030aebf6050254e9a95.png 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/09\/5166ab131ad7737b757030aebf6050254e9a95-300x173.png 300w, 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\/><\/p>\n<h4>\u6a21\u5757\u6d41\u5f62<\/h4>\n<p>\u8fd9\u91cc\u8fd8\u6709\u4e00\u4e2a\u91cd\u8981\u7684\u95ee\u9898\uff1a\u5f53\u6211\u4eec\u5c06\u591a\u4e2a\u5c42\u7ec4\u5408\u8d77\u6765\u6784\u5efa\u5b8c\u6574\u7684\u795e\u7ecf\u7f51\u7edc\u65f6\uff0c\u4f1a\u53d1\u751f\u4ec0\u4e48\uff1f<\/p>\n<p>\u662f\u5426\u9700\u8981\u5173\u6ce8\u5c42\u4e0e\u5c42\u4e4b\u95f4\u7684\u4ea4\u4e92\uff0c\u5e76\u636e\u6b64\u4fee\u6539\u4f18\u5316\u7b56\u7565\uff1f<\/p>\n<p>\u8fd9\u9700\u8981\u4e00\u79cd\u53ef\u4ee5\u5c06\u524d\u6587\u4ecb\u7ecd\u7684\u63a8\u5bfc\u903b\u8f91\u63a8\u5e7f\u5230\u6574\u4e2a\u795e\u7ecf\u7f51\u7edc\u7684\u65b9\u6cd5\u2014\u2014\u6a21\u5757\u6d41\u5f62\uff08modular 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