{"id":23085,"date":"2024-11-18T10:36:24","date_gmt":"2024-11-18T02:36:24","guid":{"rendered":"https:\/\/aif.amtbbs.org\/?p=23085"},"modified":"2024-11-18T10:41:18","modified_gmt":"2024-11-18T02:41:18","slug":"scaling-law%e6%88%96%e5%b0%86%e7%bb%88%e7%bb%93%ef%bc%9f%e5%93%88%e4%bd%9bmit%e9%a2%84%e8%ad%a6%ef%bc%9a%e4%bd%8e%e7%b2%be%e5%ba%a6%e9%87%8f%e5%8c%96%e5%b7%b2%e6%97%a0%e8%b7%af%e5%8f%af%e8%b5%b0","status":"publish","type":"post","link":"https:\/\/aif.amtbbs.org\/index.php\/2024\/11\/18\/23085\/","title":{"rendered":"Scaling Law\u6216\u5c06\u7ec8\u7ed3\uff1f\u54c8\u4f5bMIT\u9884\u8b66\uff1a\u4f4e\u7cbe\u5ea6\u91cf\u5316\u5df2\u65e0\u8def\u53ef\u8d70\uff0c\u91cd\u78c5\u7814\u7a76\u6380\u7ffbAI\u5708"},"content":{"rendered":"<div><img data-dominant-color=\"776e66\" data-has-transparency=\"false\" style=\"--dominant-color: #776e66;\" loading=\"lazy\" decoding=\"async\" class=\"not-transparent alignnone size-full wp-image-23089\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2024\/11\/35b4ec25-5073-413a-8242-1e8e089e9242-300x167-1.png\" width=\"300\" height=\"167\" alt=\"\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2024\/11\/35b4ec25-5073-413a-8242-1e8e089e9242-300x167-1.png 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2024\/11\/35b4ec25-5073-413a-8242-1e8e089e9242-300x167-1-150x84.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/div>\n<div><\/div>\n<div class=\"article-desc\">\u54c8\u4f5b\u65af\u5766\u798fMIT\u7b49\u673a\u6784\u9996\u6b21\u63d0\u51fa\u300c\u7cbe\u5ea6\u611f\u77e5\u300dscaling 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decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202411\/17\/515cb5707f8197328d7689cac8597f2b5422ef.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" 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decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s6.51cto.com\/oss\/202411\/17\/233c136137dcc20705144315038a5651b65f4f.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u5176\u5b9e\uff0c\u7814\u7a76\u7cbe\u5ea6scaling\u5177\u6709\u6311\u6218\u6027\uff0c\u56e0\u4e3ascaling 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decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s9.51cto.com\/oss\/202411\/17\/07af4ae548b9164ff77166a77d5592e52b749f.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" 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\uff0c\u8bad\u7ec3\u540e\u6743\u91cd\u7cbe\u5ea6\u4e3a P_post \uff0c\u6700\u7ec8\u7814\u7a76\u4eba\u5458\u627e\u5230\u4e86\u4e00\u4e2a\u7edf\u4e00\u7684scaling law\uff1a<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s4.51cto.com\/oss\/202411\/17\/a7f98bf1476a413c602009ba47fb5dbbeb27ab.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u5176\u4e2d\uff0cA\u3001B\u3001E\u3001\u03b1\u3001\u03b2\u662f\u6b63\u62df\u5408\u5e38\u6570\uff0c\u03b4_PTQ\u662f\u6307\u63a8\u7406\u524d\u8bad\u7ec3\u540e\u91cf\u5316\u5f15\u8d77\u7684\u635f\u5931\u9000\u5316<\/p>\n<p>Tim Dettmers\u5728\u957f\u6587\u4e2d\u8868\u793a\uff0c\u82f1\u4f1f\u8fbeBlackwell\u5c06\u901a\u8fc7\u786c\u4ef6\u5c42\u9762\u5b9e\u73b0\u7684\u5757\u7ea7\u91cf\u5316\u6765\u63d0\u4f9b\u51fa\u8272\u76848\u4f4d\u8ba1\u7b97\u80fd\u529b\u3002\u8fd9\u5c06\u4f7f8\u4f4d\u8bad\u7ec3\u53d8\u5f97\u50cf\u4eceFP16\u5207\u6362\u5230BF16\u4e00\u6837\u7b80\u5355\u3002<\/p>\n<p>\u7136\u800c\uff0c\u4ece\u8fd9\u7bc7\u8bba\u6587\u53ef\u4ee5\u770b\u51fa\uff0c\u672a\u6765\u8fd8\u9700\u8981\u8d85\u8fc78\u4f4d\u7684\u7cbe\u5ea6\u6765\u8bad\u7ec3\u8bb8\u591a\u6a21\u578b\u3002<\/p>\n<p>\u76f8\u8f83\u4e8e\u5176\u4ed6\u6a21\u578b\uff0c\u8fd0\u884cLlama 405B\u8fdb\u884c\u63a8\u7406\u662f\u4e00\u4e2a\u5de8\u5927\u7684\u6311\u6218\u3002\u4f46\u8bba\u6587\u8868\u660e\uff0c\u4e2d\u7b49\u53c2\u6570\u89c4\u6a21\u6a21\u578b\uff08\u598270B\uff09\u4e5f\u96be\u4ee5\u5728\u4f4e\u7cbe\u5ea6\u4e0b\u9ad8\u6548\u8bad\u7ec3\u3002<\/p>\n<p>\u4eceDettmers\u7684\u4e2a\u4eba\u7ecf\u9a8c\uff08\u5f88\u591a\u5931\u8d25\u7684\u7814\u7a76\uff09\u6765\u770b\uff0c\u4f60\u65e0\u6cd5\u6b3a\u9a97\u6548\u7387\u3002<\/p>\n<p>\u5982\u679c\u91cf\u5316\u5931\u8d25\uff0c\u90a3\u4e48\u7a00\u758f\u5316\u4e5f\u4f1a\u5931\u8d25\uff0c\u5176\u4ed6\u6548\u7387\u63d0\u5347\u673a\u5236\u4e5f\u662f\u5982\u6b64\u3002\u5982\u679c\u8fd9\u662f\u771f\u7684\uff0c\u6211\u4eec\u73b0\u5728\u5df2\u63a5\u8fd1\u6700\u4f18\u89e3\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4ed6\u53ea\u770b\u5230\u4e09\u6761\u524d\u8fdb\u7684\u9053\u8def&#8230;<\/p>\n<p>(1) scaling\u6570\u636e\u4e2d\u5fc3\uff1a\u8fd9\u8fd8\u80fd\u7ee7\u7eedscaling\u7ea62\u5e74\u3002<\/p>\n<p>(2) \u52a8\u6001scaling\uff1a\u8f6c\u5411\u66f4\u5c0f\u7684\u4e13\u4e1a\u5316\u6a21\u578b\u6216\u66f4\u5927\/\u66f4\u5c0f\u7684\u6a21\u578b\u3002<\/p>\n<p>(3) \u77e5\u8bc6\u84b8\u998f\uff1a\u84b8\u998f\u7684\u884c\u4e3a\u4e0e\u5176\u4ed6\u6280\u672f\u4e0d\u540c\uff0c\u53ef\u80fd\u5177\u6709\u4e0d\u540c\u7684\u7279\u6027\u3002<\/p>\n<p>\u6240\u6709\u8fd9\u4e9b\u610f\u5473\u7740\u8303\u5f0f\u5c06\u5f88\u5feb\u4ece\u300cscaling\u300d\u8f6c\u5411\u300c\u5982\u4f55\u5229\u7528\u73b0\u6709\u8d44\u6e90\u300d\u3002Dettmers\u8ba4\u4e3a\u300c\u5982\u4f55\u5e2e\u52a9\u4eba\u4eec\u901a\u8fc7AI\u63d0\u9ad8\u751f\u4ea7\u529b\u300d\u8fd9\u79cd\u601d\u7ef4\u65b9\u5f0f\u662f\u6700\u597d\u7684\u524d\u8fdb\u65b9\u5411\u3002\u8fd9\u79cd\u601d\u7ef4\u65b9\u5f0f\u66f4\u5173\u6ce8\u6d41\u7a0b\u548c\u4eba\uff0c\u800c\u4e0d\u662f\u6280\u672f\u672c\u8eab\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s7.51cto.com\/oss\/202411\/17\/49ab4bc229ba61b3b1f038639e81295da771cd.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<h4>\u8bad\u7ec3\u540e\u91cf\u5316Scaling Law<\/h4>\n<p>\u6700\u7b80\u5355\uff0c\u4e5f\u662f\u6700\u5e38\u89c1\u7684\u91cf\u5316\u6280\u672f\u5c31\u662f\u5c06\u73b0\u6210\u7684\u6a21\u578b\u8fdb\u884c\u8bad\u7ec3\u540e\u91cf\u5316\u5904\u7406\uff08post-train quantize\uff09\u3002<\/p>\n<p>\u7814\u7a76\u4eba\u5458\u9996\u5148\u4f7f\u7528BF16\u683c\u5f0f\u8bad\u7ec3\u7684\u6a21\u578b\uff0c\u5e76\u91c7\u7528GPTQ\u6280\u672f\u6765\u8fdb\u884c\u8bad\u7ec3\u540e\u7684\u91cf\u5316\u5904\u7406\uff0c\u7ed3\u679c\u53d1\u73b0\u8bad\u7ec3\u540e\u7684\u91cf\u5316\u5728\u6570\u636e\u6269\u5c55\u6027\u65b9\u9762\u8868\u73b0\u4e0d\u4f73\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s8.51cto.com\/oss\/202411\/17\/f40d7c210adba13998a325499a33add9643002.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u6a21\u578b\u5728\u8bad\u7ec3\u540e\u91cf\u5316\u4ee5\u53ca\u4e0e\u8bad\u7ec3\u7ed3\u675f\u65f6\u76f8\u6bd4\uff0c\u51fa\u73b0\u4e86\u6027\u80fd\u9000\u5316\u3002<\/p>\n<p>\u53ef\u4ee5\u53d1\u73b0\uff0c\u968f\u7740\u8bad\u7ec3\u6570\u636e\u91cf\u7684\u589e\u52a0\uff0c\u6240\u6709\u5c3a\u5bf8\u6a21\u578b\u7684\u6027\u80fd\u9000\u5316\u03b4PTQ\u90fd\u5728\u589e\u52a0\uff1b\u4f46\u5bf9\u4e8e\u56fa\u5b9a\u7684\u6570\u636e\u96c6\uff0c\u66f4\u5927\u5c3a\u5bf8\u7684\u6a21\u578b\u6027\u80fd\u9000\u5316\u66f4\u5c0f\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s6.51cto.com\/oss\/202411\/17\/b56ab46362b33a41421830094009fd0ee73093.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u4e0a\u8ff0\u516c\u5f0f\u4e2d\uff0cCT\u3001\u03b3D\u3001\u03b3N\u3001\u03b3post\u662f\u6b63\u7684\u62df\u5408\u5e38\u6570\uff1b\u5f53token\u4e0e\u53c2\u6570\u7684\u6bd4\u4f8bD\/N\u8db3\u591f\u5927\uff0c\u6216\u8005\u91cf\u5316\u540e\u7684\u7cbe\u5ea6Ppost\u8db3\u591f\u4f4e\u65f6\uff0c\u6a21\u578b\u5728\u9884\u8bad\u7ec3\u65f6\u95f4\u5ef6\u957f\u540e\uff0c\u91cf\u5316\u5e26\u6765\u7684\u635f\u5931\u53ef\u80fd\u4f1a\u589e\u52a0\uff0c<\/p>\n<p>\u8fd8\u53ef\u4ee5\u89c2\u5bdf\u5230\uff0c\u5f53\u964d\u4f4e\u91cf\u5316\u7cbe\u5ea6\u65f6\uff0c\u03b4PTQ\u5448\u6307\u6570\u589e\u957f\u3002<\/p>\n<p>\u4ece\u76f4\u89c9\u4e0a\u6765\u8bf4\uff0c\u5982\u679c\u5728\u66f4\u591a\u6570\u636e\u4e0a\u8bad\u7ec3\uff0c\u6a21\u578b\u4f1a\u5c06\u66f4\u591a\u4fe1\u606f\u538b\u7f29\u5230\u6743\u91cd\u4e2d\uff0c\u5373\u91cf\u5316\u6743\u91cd\u7684\u6270\u52a8\u5bf9\u635f\u5931\u7684\u5f71\u54cd\u66f4\u5927\u3002<\/p>\n<p>\u53d1\u73b01\uff1a\u5982\u679c\u60f3\u5c06\u6a21\u578b\u8fdb\u884c\u8bad\u7ec3\u540e\u91cf\u5316\uff0c\u5b58\u5728\u67d0\u4e00\u4e2a\u9884\u8bad\u7ec3\u6570\u636e\u91cf\uff0c\u5982\u679c\u8d85\u8fc7\u8fd9\u4e2a\u503c\uff0c\u518d\u6dfb\u52a0\u989d\u5916\u7684\u6570\u636e\u4f1a\u5bf9\u63a8\u7406\u65f6\u7684\u6027\u80fd\u4ea7\u751f\u8d1f\u9762\u5f71\u54cd\u3002<\/p>\n<h4>\u91cf\u5316\u8bad\u7ec3Scaling Law<\/h4>\n<p>\u7814\u7a76\u4eba\u5458\u63a2\u7d22\u4e86\u5982\u4f55\u5728\u8bad\u7ec3\u9636\u6bb5\u8c03\u6574\u6a21\u578b\u5904\u7406\u6570\u636e\u7684\u7cbe\u5ea6\uff0c\u5305\u62ec\u6a21\u578b\u7684\u6743\u91cd\u3001\u6fc0\u6d3b\u503c\u548cKV\u7f13\u5b58\uff0c\u6d4b\u8bd5\u4e863\u4f4d\u523012\u4f4d\u7684\u4e0d\u540c\u7cbe\u5ea6\u8bbe\u7f6e\uff0c\u5e76\u4e0eBF16\u9ad8\u7cbe\u5ea6\u57fa\u51c6\u8fdb\u884c\u6bd4\u8f83\u3002<\/p>\n<p><strong>\u91cf\u5316\u8bad\u7ec3<\/strong><\/p>\n<p>\u7814\u7a76\u4eba\u5458\u5728\u4fdd\u6301\u6fc0\u6d3b\u503c\uff08Pa\uff09\u548cKV\u7f13\u5b58\uff08Pkv\uff09\u7684\u7cbe\u5ea6\u56fa\u5b9a\u5728\u8f83\u9ad8\u6c34\u5e73\u7684\u60c5\u51b5\u4e0b\uff0c\u8003\u5bdf\u4e86\u6743\u91cd\u7cbe\u5ea6\uff08Pw\uff09\u4e0e\u53c2\u6570\u91cf\uff08N\uff09\u4e4b\u95f4\u7684\u6743\u8861\uff0c\u5176\u4e2d\u8bbe\u5b9aD = 13B\u4e2atoken\uff0c\u5e76\u5728N\u548cPw\u7684\u4e0d\u540c\u7ec4\u5408\u4e0a\u8fdb\u884c\u4e86\u7f51\u683c\u626b\u63cf\u3002<\/p>\n<p>\u7b49\u635f\u5931\u8f6e\u5ed3\u56fe\u663e\u793a\uff0c\u4e00\u4e2a\u300c\u53c2\u6570\u91cf\u8f83\u5c11\u4f46\u6743\u91cd\u7cbe\u5ea6\u8f83\u9ad8\u300d\u7684\u6a21\u578b\u53ef\u4ee5\u8fbe\u5230\u4e0e\u300c\u53c2\u6570\u91cf\u8f83\u591a\u4f46\u6743\u91cd\u7cbe\u5ea6\u8f83\u4f4e\u300d\u7684\u6a21\u578b\u76f8\u540c\u7684\u635f\u5931\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s3.51cto.com\/oss\/202411\/17\/46d562a74a6ec44f94e4555bd833dc7c79cce4.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u6b64\u5916\uff0c\u63d0\u9ad8\u6743\u91cd\u7684\u4f4d\u7cbe\u5ea6\u5728\u4f4e\u4f4d\u7cbe\u5ea6\u65f6\u6536\u76ca\u8f83\u5927\uff0c\u4f46\u5728\u8f83\u9ad8\u7cbe\u5ea6\u65f6\uff08\u6bcf\u4e2a\u6743\u91cd6-7\u4f4d\uff09\u4f1a\u8d8b\u4e8e\u9971\u548c\u3002<\/p>\n<p>\u6839\u636e\u7ecf\u9a8c\u8d8b\u52bf\uff0c\u7814\u7a76\u4eba\u5458\u603b\u7ed3\u4e86\u6743\u91cd\u7cbe\u5ea6\u548c\u53c2\u6570\u4e4b\u95f4\u7684\u6700\u4f73\u6743\u8861\u6a21\u578b\uff1a<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s6.51cto.com\/oss\/202411\/17\/e44037605011aafe9542162cfb2578bf5ac0fe.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u5176\u4e2d\u03b3w\u662f\u4e00\u4e2a\u62df\u5408\u5e38\u6570\uff0c\u7528\u4e8e\u8861\u91cf\u6a21\u578b\u6743\u91cd\u7684\u654f\u611f\u5ea6\uff1bA\u3001B\u3001E\u3001\u03b1\u3001\u03b2\u662fChinchilla\u89c4\u6a21\u6cd5\u5219\u4e2d\u7684\u62df\u5408\u6b63\u6570\u5e38\u6570\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s4.51cto.com\/oss\/202411\/17\/a3b4b3393343279f1096213bbaf82f6ada6bbe.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p><strong>\u4f4e\u7cbe\u5ea6\u8bad\u7ec3<\/strong><\/p>\n<p>\u7814\u7a76\u4eba\u5458\u60f3\u8981\u6d4b\u8bd5\uff0c\u5728\u4f4e\u7cbe\u5ea6\u8bad\u7ec3\u4e2d\uff0c\u5bf9\u6a21\u578b\u7684\u6743\u91cd\u3001\u6fc0\u6d3b\u503c\u548c\u6ce8\u610f\u529b\u8fdb\u884c\u91cf\u5316\u7684\u5f71\u54cd\u662f\u5426\u76f8\u4e92\u53e0\u52a0\uff0c\u5373\u4e0d\u540c\u7ec4\u4ef6\u7684\u91cf\u5316\u6548\u679c\u53ef\u80fd\u4f1a\u76f8\u4e92\u4f5c\u7528\uff0c\u4ea7\u751f\u66f4\u590d\u6742\u7684\u5f71\u54cd\u3002<\/p>\n<p>\u901a\u8fc7\u5bf9\u6bd4\u300c\u8fb9\u9645\u62df\u5408\u5e38\u6570\u300d\u6a21\u578b\u548c\u300c\u8054\u5408\u62df\u5408\u5e38\u6570\u300d\u6a21\u578b\u7684\u9884\u6d4b\u80fd\u529b\uff0c\u6765\u6d4b\u8bd5\u8fd9\u79cd\u72ec\u7acb\u6027\u662f\u5426\u5927\u81f4\u6210\u7acb\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s8.51cto.com\/oss\/202411\/17\/c4e7ba653382fe32e1d297fbb26ee960ea29b2.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u7ed3\u679c\u663e\u793a\uff0c\u8fd9\u4e24\u79cd\u62df\u5408\u5e38\u6570\u7684\u65b9\u6cd5\u5177\u6709\u5927\u81f4\u76f8\u540c\u7684\u9884\u6d4b\u80fd\u529b\uff0c\u5373\u72ec\u7acb\u6027\u5047\u8bbe\u662f\u5408\u7406\u7684\u3002<\/p>\n<p>\u53d1\u73b02\uff1a\u5728\u8bad\u7ec3\u671f\u95f4\u5bf9\u6743\u91cd\u3001\u6fc0\u6d3b\u503c\u548cKV\u7f13\u5b58\u8fdb\u884c\u91cf\u5316\u7684\u6548\u679c\uff0c\u53ef\u4ee5\u88ab\u5efa\u6a21\u4e3a\u72ec\u7acb\u4e14\u76f8\u4e58\u7684\uff0c\u56e0\u6b64\u635f\u5931\u51fd\u6570\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s7.51cto.com\/oss\/202411\/17\/316cd4478e41ac454b1523134901c43cb2b258.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202411\/17\/174ee9c041f7c5e4f4b1299303f84dae86b7cf.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u7814\u7a76\u4eba\u5458\u5bf9\u5e38\u6570\u03b3w\u3001\u03b3a\u3001\u03b3kv\u8fdb\u884c\u62df\u5408\uff0c\u5982\u679c\u4e09\u4e2a\u7cbe\u5ea6\u90fd\u8bbe\u7f6e\u4e3a\u76f8\u540c\u7684\u503cP\uff0c\u4e0e\u9884\u8bad\u7ec3\u76f8\u540c\uff0c\u53ef\u4ee5\u7b80\u5316\u4e3a\u4e0b\u5f0f\u5b50\uff0c\u5176\u4e2d\u03b3\u0304\u662f\u4e09\u4e2a\u53c2\u6570\u7684\u5e73\u5747\u503c\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s7.51cto.com\/oss\/202411\/17\/58ac6c0131ce0eb4664515d2e78ab1a1c65d99.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p><strong>\u5bf9\u9884\u8bad\u7ec3\u7684\u5f71\u54cd<\/strong><\/p>\n<p>\u5f53\u6a21\u578b\u4ee5\u7cbe\u5ea6P\u8fdb\u884c\u8bad\u7ec3\u65f6\uff0c\u610f\u5473\u7740\u6743\u91cd\u3001\u6fc0\u6d3b\u503c\u548cKV\u7f13\u5b58\u7684\u7cbe\u5ea6\u90fd\u7b49\u4e8eP\uff0c\u5373 Pw = Pa = Pkv = P\uff0c\u8ba1\u7b97\u6210\u672c\u4e0eP\u6210\u6b63\u6bd4\uff1b<\/p>\n<p>\u7814\u7a76\u4eba\u5458\u572816\u4f4d\u7cbe\u5ea6\u4e0b\u8fdb\u884c\u4e86\u5b9e\u9a8c\uff0c\u5e76\u4f7f\u7528\u6210\u672c\u6a21\u578bC = 6ND FLOPs\uff0c\u8003\u8651\u5230\u8ba1\u7b97\u4e0e\u7cbe\u5ea6\u4e4b\u95f4\u7684\u7ebf\u6027\u5173\u7cfb\uff0c\u5c06\u6a21\u578b\u8fdb\u4e00\u6b65\u63a8\u5e7f\u6cdb\u5316\uff1a\u5f53P = 16\u65f6\uff0c\u7b80\u5316\u4e3aChinchilla\u6210\u672c\u51fd\u6570\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s6.51cto.com\/oss\/202411\/17\/06bf4761127cbf3292e392bd25f70764dbc2ee.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s6.51cto.com\/oss\/202411\/17\/832d235407f9b221059247ebc14f12949fb3ab.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u53ef\u4ee5\u6ce8\u610f\u5230\uff0c\u65e0\u8bba\u5b9e\u9a8c\u7684\u89c4\u6a21\u5982\u4f55\uff0c\u51fd\u6570\u5f62\u5f0f\u7684\u542b\u4e49\u90fd\u662f\u6b63\u786e\u7684\uff0c\u4f46\u9884\u6d4b\u7684\u6570\u503c\u53d6\u51b3\u4e8e\u62df\u5408\u7684\u5e38\u6570\uff0c\u5176\u4e2d\u5e38\u6570\u901a\u5e38\u662f\u57fa\u4e8e\u5c0f\u89c4\u6a21\u3001\u6574\u578b\u5b9e\u9a8c\u62df\u5408\u7684\u3002<\/p>\n<p>1\u3001\u5982\u679c\u5fc5\u987b\u5728\u4f4e\u7cbe\u5ea6\u4e0b\u8bad\u7ec3\uff0c\u5148\u589e\u52a0\u53c2\u6570\u91cf\u518d\u589e\u52a0\u6570\u636e<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202411\/17\/d80a005326427976b560904e4b0eb3b1b172fe.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u5728\u4f4e\u7cbe\u5ea6\u8bad\u7ec3\u65f6\uff0c\u6709\u6548\u7684\u53c2\u6570\u91cf\u4f1a\u5927\u5927\u51cf\u5c11\uff0c\u56e0\u6b64\u589e\u52a0\u53c2\u6570\u91cf\u53ef\u4ee5\u66f4\u6709\u6548\u5730\u5229\u7528\u6709\u9650\u7684\u8ba1\u7b97\u8d44\u6e90\uff0c\u56e0\u4e3a\u6570\u636e\u91cf\u76f8\u5bf9\u4e8e\u6709\u6548\u53c2\u6570\u6765\u8bf4\u5df2\u7ecf\u8fc7\u5269\u4e86\u3002<\/p>\n<p>2\u3001\u8ba1\u7b97\u6700\u4f18\u7684\u9884\u8bad\u7ec3\u7cbe\u5ea6\u901a\u5e38\u4e0e\u8ba1\u7b97\u9884\u7b97\u65e0\u5173<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s4.51cto.com\/oss\/202411\/17\/5856b38899d26d247571285be6d0c277fd0897.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u5728\u6ca1\u6709\u5bf9\u53c2\u6570N\u3001\u6570\u636eD\u548c\u7cbe\u5ea6P\u7684\u9650\u5236\uff0c\u53ea\u6709\u56fa\u5b9a\u8ba1\u7b97\u9884\u7b97\u7684\u60c5\u51b5\u4e0b\u8fdb\u884c\u9884\u8bad\u7ec3\uff0c\u7814\u7a76\u4eba\u5458\u7684\u76ee\u6807\u662f\u8054\u5408\u6700\u5c0f\u5316\u635f\u5931\u51fd\u6570L(N, D, P)\uff0c\u5176\u4e2dC\u4e0eNDP\u6210\u6b63\u6bd4\uff0c\u5e76\u6700\u7ec8\u5f97\u5230\u4e86\u4e00\u4e2a\u5173\u4e8e\u6700\u4f18\u7cbe\u5ea6P*(C)\u7684\u9690\u5f0f\u65b9\u7a0b\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s3.51cto.com\/oss\/202411\/17\/e7dc51d964a4c6652d87339f2815ee64e69dde.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s7.51cto.com\/oss\/202411\/17\/1227590335ed6abd6d1696a556d982def929d3.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u7ed3\u679c\u53d1\u73b0\uff0c\u5f53\u5728\u6574\u6570\u7c7b\u578b\u7684\u91cf\u5316\u8fd0\u884c\u4e2d\u62df\u5408\u6269\u5c55\u6cd5\u5219\u65f6\uff0cP*\u5927\u7ea6\u662f7\u4f4d\uff0c\u4e5f\u610f\u5473\u7740\u5728BF16\u4e2d\u8bad\u7ec3\u6a21\u578b\u7684\u5b9e\u9645\u64cd\u4f5c\u53ef\u80fd\u662f\u6b21\u4f18\u7684\uff0c\u5e76\u4e14\u5411\u4f4e\u7cbe\u5ea6\u8bad\u7ec3\u7684\u7ade\u4e89\u9700\u8981\u5728\u4f4e\u4e8e4\u4f4d\u4e4b\u524d\u505c\u6b62\uff0c\u53ef\u80fd\u4f1a\u8feb\u4f7f\u6a21\u578b\u5c3a\u5bf8\u4e0d\u6210\u6bd4\u4f8b\u5730\uff08\u8d85\u8fc74\u500d\uff09\u589e\u5927\uff0c\u4ece\u800c\u4fdd\u6301\u4f4f\u635f\u5931\u3002<\/p>\n<p>3\u3001\u5982\u679c\u6a21\u578b\u5c3a\u5bf8\u53d7\u9650\uff0c\u8ba1\u7b97\u6700\u4f18\u7684\u9884\u8bad\u7ec3\u7cbe\u5ea6\u53ef\u4ee5\u589e\u52a0<\/p>\n<p>\u7814\u7a76\u4eba\u5458\u5728\u63a2\u8ba8\u5982\u4f55\u5728\u6709\u9650\u7684\u8ba1\u7b97\u8d44\u6e90\u4e0b\uff0c\u9488\u5bf9\u4e0d\u540c\u5927\u5c0f\u7684\u667a\u80fd\u4f53\u8fdb\u884c\u8bad\u7ec3\u65f6\uff0c\u5e76\u53d1\u73b0\u4e86\u4e00\u4e2a\u6709\u8da3\u7684\u73b0\u8c61\uff1a<\/p>\n<p>\u4e0d\u540c\u5c3a\u5bf8\u7684\u6a21\u578b\u5e76\u4e0d\u4e00\u5b9a\u9700\u8981\u5728\u76f8\u540c\u7684\u6570\u503c\u7cbe\u5ea6\u4e0b\u8bad\u7ec3\uff0c\u5b9e\u9645\u4e0a\uff0c\u6700\u4f18\u7684\u6570\u503c\u7cbe\u5ea6\u4f1a\u968f\u7740\u8ba1\u7b97\u8d44\u6e90\u7684\u589e\u52a0\u800c\u589e\u52a0\uff0c\u800c\u4e14\u8fd9\u79cd\u589e\u52a0\u4e0e\u8ba1\u7b97\u8d44\u6e90\u7684\u5bf9\u6570\u6210\u6b63\u6bd4\u3002<\/p>\n<p>\u4e5f\u5c31\u610f\u5473\u7740\uff0c\u5982\u679c\u4fdd\u6301\u6a21\u578b\u5c3a\u5bf8\u4e0d\u53d8\uff0c\u53ea\u8c03\u6574\u6570\u636e\u91cf\u548c\u6570\u503c\u7cbe\u5ea6\uff0c\u90a3\u4e48\u53ef\u4ee5\u6839\u636e\u6570\u636e\u91cf\u548c\u667a\u80fd\u4f53\u5927\u5c0f\u7684\u6bd4\u4f8b\u6765\u8c03\u6574\u6700\u4f18\u7684\u6570\u503c\u7cbe\u5ea6\uff0c\u80fd\u591f\u66f4\u6709\u6548\u5730\u5229\u7528\u6709\u9650\u7684\u8ba1\u7b97\u8d44\u6e90\uff0c\u901a\u8fc7\u51cf\u5c11\u6570\u636e\u91cf\u4e0e\u6709\u6548\u53c2\u6570\u6570\u91cf\u7684\u6bd4\u4f8b\uff0c\u4f7f\u667a\u80fd\u4f53\u7684\u8bad\u7ec3\u6548\u679c\u66f4\u63a5\u8fd1\u7406\u60f3\u7684\u72b6\u6001\u3002<\/p>\n<p>\u53d1\u73b03\uff1a\u5f53N\uff08\u6a21\u578b\u5927\u5c0f\uff09\u3001D\uff08\u6570\u636e\u91cf\uff09\u548cP\uff08\u7cbe\u5ea6\uff09\u4e00\u8d77\u4f18\u5316\u65f6\uff0c\u8ba1\u7b97\u6700\u4f18\u7684\u9884\u8bad\u7ec3\u7cbe\u5ea6\u4e0e\u8ba1\u7b97\u8d44\u6e90\u65e0\u5173\u300216\u4f4d\u7cbe\u5ea6\u5305\u542b\u4e86\u8bb8\u591a\u4e0d\u5fc5\u8981\u7684\u4f4d\uff0c\u800c4\u4f4d\u7cbe\u5ea6\u5219\u9700\u8981\u4e0d\u6210\u6bd4\u4f8b\u5730\u589e\u52a0\u6a21\u578b\u5c3a\u5bf8\u4ee5\u4fdd\u6301\u635f\u5931\u503c\u3002<\/p>\n<p>\u62df\u5408\u7ed3\u679c\u8868\u660e\uff0c7\u52308\u4f4d\u662f\u8ba1\u7b97\u6700\u4f18\u7684\u7cbe\u5ea6\u3002\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u5f53N\u9884\u5148\u56fa\u5b9a\uff0c\u4f8b\u5982\u5728\u76f8\u4f3c\u6570\u636e\u4e0a\u8bad\u7ec3\u4e00\u7cfb\u5217\u6a21\u578b\u65f6\uff0cP*(C)\u4e0eC\u7684\u5bf9\u6570\u6210\u6b63\u6bd4\uff0c\u4e5f\u8868\u660e\uff0c\u5bf9\u4e8e\u88ab\u663e\u8457\u8fc7\u8bad\u7684\u6a21\u578b\uff0c\u8bad\u7ec3\u65f6\u4f7f\u7528\u66f4\u9ad8\u7684\u7cbe\u5ea6\u53ef\u80fd\u662f\u8ba1\u7b97\u4e0a\u6700\u4f18\u7684\u9009\u62e9\u3002<\/p>\n<h4>\u7edf\u4e00\u7cbe\u5ea6Scaling Law<\/h4>\n<p>\u7814\u7a76\u4eba\u5458\u5c06\u4e4b\u524d\u63d0\u51fa\u7684\u4e24\u4e2a\u6269\u5c55\u6cd5\u5219\u5408\u5e76\u6210\u7edf\u4e00\u7684\u51fd\u6570\u5f62\u5f0f\uff0c\u53ef\u4ee5\u9884\u6d4b\u8bad\u7ec3\u548c\u8bad\u7ec3\u540e\u91cf\u5316\u7684\u5f71\u54cd\uff0c\u5305\u62ec\u4e24\u8005\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u3002<\/p>\n<p>\u7814\u7a76\u4eba\u5458\u53d1\u73b0\uff0c\u5728\u9884\u6d4b\u03b4PTQ\u65f6\u6709\u4e24\u79cd\u7ade\u4e89\u6548\u5e94\uff0c\u4f46\u603b\u4f53\u800c\u8a00\uff0c\u4ee5\u8f83\u4f4e\u7cbe\u5ea6\u8bad\u7ec3\u7684\u6a21\u578b\u5bf9\u8bad\u7ec3\u540e\u91cf\u5316\u66f4\u4e3a\u5065\u58ee\uff0c\u5373\u906d\u53d7\u7684\u9000\u5316\u8f83\u5c0f\u3002<\/p>\n<p>\u76f4\u89c2\u4e0a\uff0c\u4ee5\u4f4e\u7cbe\u5ea6\u8bad\u7ec3Pw\u3001Pa\u6216Pkv\u4f1a\u8feb\u4f7f\u6a21\u578b\u5b66\u4e60\u5bf9\u300c\u91cf\u5316\u566a\u58f0\u300d\u6709\u9c81\u68d2\u6027\u7684\u6743\u91cd\uff0c\u56e0\u6b64\u5728PTQ\u4e0b\u7684\u9000\u5316\u8f83\u5c0f\u3002<\/p>\n<p>\u7136\u800c\uff0c\u4ee5\u4f4e\u7cbe\u5ea6\u8bad\u7ec3\u7684\u6a21\u578b\u7684\u6709\u6548\u53c2\u6570\u6570\u91cfNeff\u51cf\u5c11\uff0c\u5bfc\u81f4token\u91cf\u4e0e\u53c2\u6570\u91cf\u7684\u6bd4\u503c\u589e\u52a0\uff0c\u4f1a\u5bfc\u81f4\u9000\u5316\u66f4\u591a\uff0c\u4e5f\u53ef\u4ee5\u79f0\u4e4b\u4e3a\u300c\u8fc7\u8bad\u6548\u5e94\u300d\u3002<\/p>\n<p><strong>\u4fee\u6539\u03b4PTQ\u4ee5\u8003\u8651\u8bad\u7ec3\u7cbe\u5ea6<\/strong><\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s3.51cto.com\/oss\/202411\/17\/674b0a64355857ed835315fab54ca57b325adc.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u5047\u8bbe\u8bad\u7ec3\u7cbe\u5ea6\u4e25\u683c\u5927\u4e8e\u63a8\u7406\u7cbe\u5ea6\uff0c\u5982\u679c\u76f8\u7b49\u5219\u9000\u5316\u4e3a\u96f6\uff0c\u7814\u7a76\u4eba\u5458\u5148\u63a2\u7d22\u4e86\u4ec5\u5728\u8bad\u7ec3\u671f\u95f4\u4ee5\u6743\u91cd\u7cbe\u5ea6Pw\u53d8\u5316\u65f6\u7684\u9000\u5316\u8868\u73b0\u3002<\/p>\n<p>\u53ef\u4ee5\u89c2\u5bdf\u5230\uff0c\u5982\u679c\u8bad\u7ec3\u548c\u63a8\u7406\u65f6\u7cbe\u5ea6\u4e4b\u95f4\u6709\u5dee\u8ddd\uff0c\u9000\u5316\u4f1a\u975e\u5e38\u8fc5\u901f\u5730\u589e\u52a0\u5230\u6307\u6570\u5927\u503c\uff0c\u53ef\u4ee5\u5c06\u62df\u5408\u7684\u521d\u59cb\u51fd\u6570\u5f62\u5f0f\u4fee\u6539\u4e3a\uff1a<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s7.51cto.com\/oss\/202411\/17\/f49d1af539b38cafc6c8123366a3a3a67391bd.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u5e76\u53ef\u4ee5\u6269\u5c55\u5230\u5305\u542b\u6ce8\u610f\u529b\u673a\u5236\u7684\u7cbe\u5ea6\u6548\u5e94\uff1a<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s4.51cto.com\/oss\/202411\/17\/79dfcdb73878416d7b55781d0473a20341b0ae.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p><strong>\u53ef\u89e3\u91ca\u7684\u7edf\u4e00\u51fd\u6570\u5f62\u5f0f<\/strong><\/p>\n<p>\u7814\u7a76\u4eba\u5458\u8003\u8651\u4ec5\u4ee5\u4f4e\u7cbe\u5ea6\u8bad\u7ec3\u6743\u91cd\uff0c\u5e76\u5c06Cw = 1\u4f5c\u4e3a\u793a\u4f8b\uff0c\u4ee5\u4fbf\u7b80\u5316\u4e0a\u5f0f\uff0c\u53ef\u4ee5\u53cd\u6620\u51fa\u7531\u4e8e\u4f4e\u7cbe\u5ea6\u8bad\u7ec3\u6743\u91cd\u800c\u964d\u4f4e\u7684\u6709\u6548\u53c2\u6570\u91cf\uff1a<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s7.51cto.com\/oss\/202411\/17\/39082674956bb53195e7080402d1748667f402.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" 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data-type=\"inline\" \/><\/p>\n<h4>\u5c40\u9650\u6027<\/h4>\n<p>\u8bba\u6587\u4f5c\u8005\u6307\u51fa\uff0c\u5f53\u524d\u7814\u7a76\u8fd8\u5b58\u5728\u51e0\u4e2a\u9650\u5236\uff1a<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s4.51cto.com\/oss\/202411\/17\/e60c0f815a84be10566548d023a5f72de5211d.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u5728\u5b9e\u9a8c\u8fc7\u7a0b\u4e2d\uff0c\u4f7f\u7528\u4e86\u56fa\u5b9a\u7684\u6a21\u578b\u67b6\u6784\u548c\u8bbe\u7f6e\uff0c\u4f46\u5728\u5b9e\u8df5\u4e2d\uff0c\u7ecf\u5e38\u4f1a\u4e13\u95e8\u8fdb\u884c\u67b6\u6784\u8c03\u6574\u4ee5\u9002\u5e94\u4f4e\u7cbe\u5ea6\u8bad\u7ec3\u3002<\/p>\n<p>\u6b64\u5916\uff0c\u4f5c\u8005\u8fd8\u5728\u76f8\u5bf9\u8f83\u5c0f\u7684\u8bed\u8a00\u6a21\u578b\uff08\u6700\u5927\u7ea6250M\u53c2\u6570\uff09\u4e0a\u62df\u5408\u4e86scaling law\uff0c\u672a\u80fd\u8986\u76d6\u8d85\u5927\u89c4\u6a21\u6a21\u578b\u60c5\u51b5\u3002<\/p>\n<p>\u4e0b\u4e00\u6b65\uff0c\u7814\u7a76\u4eba\u5458\u5c06\u5728\u66f4\u5927\u89c4\u6a21\u6a21\u578b\u4e0a\u7ee7\u7eed\u7814\u7a76\u8fd9\u4e00\u6548\u679c\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202411\/17\/f766dda532cb9ef6ab1894220f18a93d09d1f9.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<h4>\u8bba\u6587\u4f5c\u8005<\/h4>\n<p>\u672c\u7bc7\u8bba\u6587\u6838\u5fc3\u8d21\u732e\u4f5c\u8005\u662fTanishq Kumar\u548cZachary Ankner\u3002<\/p>\n<p>Tanishq Kumar<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s7.51cto.com\/oss\/202411\/17\/5404eab712852a343203209fa587b0c5505282.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>Tanishq\u662f\u54c8\u4f5b\u5927\u5b66\u6570\u5b66\u4e13\u4e1a\u7684\u5927\u56db\u5b66\u751f\uff0c\u7814\u7a76\u673a\u5668\u5b66\u4e60\u7406\u8bba\u548c\u8ba1\u7b97\u795e\u7ecf\u79d1\u5b66\u3002\u4ed6\u6700\u611f\u5174\u8da3\u7684\u662f\u5c06\u7406\u8bba\u5de5\u5177\u5e94\u7528\u4e8e\u6df1\u5ea6\u5b66\u4e60\u4e2d\u9c9c\u4e3a\u4eba\u77e5\u7684\u7ecf\u9a8c\u4e3b\u4e49\u8c1c\u9898\u3002<\/p>\n<p>Zachary Ankner<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s8.51cto.com\/oss\/202411\/17\/f183c6f81c29d1a6d653246c07e8863c4b0e04.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>Zachary 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