{"id":38372,"date":"2025-02-15T05:01:02","date_gmt":"2025-02-14T21:01:02","guid":{"rendered":"https:\/\/17aitech.com\/?p=38372"},"modified":"2025-02-15T05:01:02","modified_gmt":"2025-02-14T21:01:02","slug":"%e8%8b%b9%e6%9e%9c%e4%b9%9f%e5%9c%a8%e8%92%b8%e9%a6%8f%e5%a4%a7%e6%a8%a1%e5%9e%8b%ef%bc%8c%e7%bb%99%e5%87%ba%e4%ba%86%e8%92%b8%e9%a6%8fscaling-laws","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=38372","title":{"rendered":"\u82f9\u679c\u4e5f\u5728\u84b8\u998f\u5927\u6a21\u578b\uff0c\u7ed9\u51fa\u4e86\u84b8\u998fScaling Laws"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-14-4\" target=\"_blank\">\u82f9\u679c\u4e5f\u5728\u84b8\u998f\u5927\u6a21\u578b\uff0c\u7ed9\u51fa\u4e86\u84b8\u998fScaling Laws<\/a><\/p>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"16\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<p>\u84b8\u998f\u6a21\u578b\u7684\u6027\u80fd\u53ef\u4ee5\u91cf\u5316\u4f30\u7b97\u4e86\u3002<\/p>\n<\/section>\n<\/blockquote>\n<section><\/section>\n<section>\u4f17\u6240\u5468\u77e5\uff0c\u77e5\u8bc6\u84b8\u998f\u6280\u672f\u5f53\u524d\u6b63\u88ab\u5927\u6a21\u578b\u9886\u57df\u5e7f\u6cdb\u4f7f\u7528\uff0c\u5b83\u53ef\u4ee5\u5728\u5927\u5e45\u538b\u7f29\u6a21\u578b\u4f53\u91cf\u7684\u540c\u65f6\u4fdd\u6301\u4e00\u5b9a\u7684\u6027\u80fd\u3001\u964d\u4f4e\u6a21\u578b\u65f6\u5ef6\u3001\u63d0\u5347\u6a21\u578b\u7cbe\u5ea6\uff0c\u4e0e\u6b64\u540c\u65f6\u8fd8\u80fd\u5bf9\u77e5\u8bc6\u57df\u8fdb\u884c\u96c6\u6210\u548c\u8fc1\u79fb\u3002<\/section>\n<section><\/section>\n<section>\u8fd1\u65e5\uff0c\u82f9\u679c\u7814\u7a76\u4eba\u5458\u63d0\u51fa\u4e86\u4e00\u79cd\u84b8\u998f\u6269\u5c55\u5b9a\u5f8b\uff08Distillation Scaling Laws\uff09\uff0c\u57fa\u4e8e\u8ba1\u7b97\u9884\u7b97\u53ca\u5176\u5728\u5b66\u751f\u548c\u6559\u5e08\u4e4b\u95f4\u7684\u5206\u914d\uff0c\u6211\u4eec\u73b0\u5728\u5f00\u59cb\u53ef\u4ee5\u4f30\u7b97\u84b8\u998f\u6a21\u578b\u7684\u6027\u80fd\u4e86\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-31c17e1d4a4255a1e2edbee3cb114397.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-31c17e1d4a4255a1e2edbee3cb114397.png\"><\/a><\/section>\n<section><em><sup>\u56fe 1. \u84b8\u998f\u6269\u5c55\u5b9a\u5f8b\u7684\u5916\u63a8\u3002\u84b8\u998f\u6269\u5c55\u5b9a\u5f8b\u9002\u7528\u4e8e\u4e00\u7cfb\u5217\u635f\u5931\u4e3a LT \u7684\u6559\u5e08\u7684\u5f31\u5b66\u751f\u6a21\u578b\uff08L_S &gt; 2.3\uff09\u3002\u5b9e\u7ebf\u8868\u793a\u7ed9\u5b9a\u5b66\u751f\u914d\u7f6e\uff08\u63d2\u503c\uff09\u4e0b\u672a\u89c1\u8fc7\u7684\u6559\u5e08\u7684\u9884\u6d4b\u6a21\u578b\u884c\u4e3a\uff0c\u865a\u7ebf\u8868\u793a\u89c1\u8fc7\u7684\u6559\u5e08\u4e4b\u5916\u548c\u5f3a\u5b66\u751f\u533a\u57df\uff08L_S \u2264 2.3\uff09\u7684\u9884\u6d4b\u6a21\u578b\u884c\u4e3a\u3002\u5982\u56fe\u6240\u793a\uff0c\u5b66\u751f\u7684\u8868\u73b0\u53ef\u4ee5\u80dc\u8fc7\u8001\u5e08\uff08\u8be6\u60c5\u89c1\u56fe 2\u30013 \u548c 41\uff09\u3002<\/sup><\/em><\/section>\n<section>\u00a0<\/section>\n<section>\u82f9\u679c\u7814\u7a76\u8005\u8ba4\u4e3a\uff0c\u8be5\u53d1\u73b0\u964d\u4f4e\u4e86\u5927\u89c4\u6a21\u4f7f\u7528\u84b8\u998f\u7684\u98ce\u9669\uff0c\u73b0\u5728\u6211\u4eec\u53ef\u4ee5\u57fa\u4e8e\u6b64\u4f18\u5316\u6559\u5e08\u548c\u5b66\u751f\u6a21\u578b\u7684\u8ba1\u7b97\u5206\u914d\uff0c\u4ee5\u6700\u5927\u5316\u5b66\u751f\u6a21\u578b\u7684\u6027\u80fd\u3002\u8be5\u5de5\u4f5c\u63d0\u4f9b\u7684\u8ba1\u7b97\u6700\u4f18\u7684\u84b8\u998f\u65b9\u6848\u9002\u7528\u4e8e\u4e24\u79cd\u60c5\u51b5\uff1a1\uff09\u5df2\u6709\u6559\u5e08\u6a21\u578b\uff0c\u6216 2\uff09\u9700\u8981\u8bad\u7ec3\u6559\u5e08\u6a21\u578b\u3002<\/section>\n<section><\/section>\n<section>\u5982\u679c\u8981\u84b8\u998f\u591a\u4e2a\u5b66\u751f\u6a21\u578b\uff0c\u6216\u8005\u5df2\u6709\u6559\u5e08\u6a21\u578b\uff0c\u84b8\u998f\u5728\u8ba1\u7b97\u6c34\u5e73\u4e0a\u4f18\u4e8e\u76d1\u7763\u9884\u8bad\u7ec3\uff0c\u76f4\u5230\u8ba1\u7b97\u6c34\u5e73\u968f\u7740\u5b66\u751f\u6a21\u578b\u89c4\u6a21\u7684\u589e\u52a0\u800c\u53ef\u9884\u6d4b\u5730\u589e\u957f\u3002\u5982\u679c\u8981\u84b8\u998f\u4e00\u4e2a\u5b66\u751f\u6a21\u578b\u4e14\u8fd8\u9700\u8981\u8bad\u7ec3\u6559\u5e08\u6a21\u578b\uff0c\u5219\u5e94\u91c7\u7528\u76d1\u7763\u5b66\u4e60\u3002\u6b64\u5916\uff0c\u4f5c\u8005\u5728\u5927\u89c4\u6a21\u84b8\u998f\u7814\u7a76\u4e2d\u63d0\u4f9b\u4e86\u6df1\u5165\u7684\u89c1\u89e3\uff0c\u8fd9\u4e9b\u89c1\u89e3\u589e\u52a0\u4e86\u6211\u4eec\u5bf9\u84b8\u998f\u7684\u7406\u89e3\uff0c\u5e76\u4e3a\u5b9e\u9a8c\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u4fe1\u606f\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ec6003fd67b39e71e185d764362fc077.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ec6003fd67b39e71e185d764362fc077.png\"><\/a><\/section>\n<ul>\n<li>\n<section>\u8bba\u6587\u6807\u9898\uff1aDistillation Scaling Laws<\/section>\n<\/li>\n<li>\n<section>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/pdf\/2502.08606<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>\u5927\u6a21\u578b\u7684\u6269\u5c55\u5b9a\u5f8b\uff08Scaling Laws\uff09\u8868\u660e\uff0c\u5982\u679c\u5148\u524d\u8bad\u7ec3\u7684\u8bed\u8a00\u6a21\u578b\uff08LM\uff09\u9075\u5faa\u8ba1\u7b97\u6700\u4f18\u8bad\u7ec3\u8303\u5f0f\uff0c\u5c31\u53ef\u4ee5\u968f\u7740\u8ba1\u7b97\u529b\u63d0\u5347\u800c\u63d0\u5347\u3002\u7531\u4e8e\u63a8\u7406\u6210\u672c\u7684\u6301\u7eed\u589e\u957f\uff0c\u76ee\u524d\u8fd9\u79cd\u5b9a\u5f8b\u96be\u4ee5\u6301\u7eed\uff0c\u4eba\u4eec\u5c1d\u8bd5\u4f7f\u7528\u8fc7\u5ea6\u8bad\u7ec3\uff08\u5176\u4e2d\u8bad\u7ec3\u6570\u636e\u91cf\u8fdc\u5927\u4e8e\u8ba1\u7b97\u6700\u4f18\u60c5\u51b5\uff09\u6765\u5b9e\u73b0\u5c0f\u578b\u3001\u529f\u80fd\u5f3a\u5927\u7684\u6a21\u578b\u3002\u8fd9\u4e9b\u6a21\u578b\u7684\u6784\u5efa\u65e2\u6602\u8d35\u53c8\u8017\u65f6\u3002<\/section>\n<section><\/section>\n<section>\u6211\u4eec\u6b63\u5728\u5bfb\u6c42\u4e0e\u8bad\u7ec3\u7b97\u529b\u6295\u5165\u76f8\u5339\u914d\uff0c\u4f46\u8bad\u7ec3\u6210\u672c\u66f4\u4f4e\u7684\u6a21\u578b\uff0c\u84b8\u998f\u662f\u4e00\u79cd\u6d41\u884c\u7684\u65b9\u6cd5\u3002\u4f46\u957f\u671f\u4ee5\u6765\uff0c\u5b66\u754c\u5bf9\u84b8\u998f\u7f3a\u4e4f\u5171\u8bc6\uff0c\u5e76\u4e0d\u4e86\u89e3\u5982\u4f55\u5206\u914d\u8ba1\u7b97\u8d44\u6e90\uff0c\u4ee5\u4ea7\u751f\u6700\u5f3a\u5927\u7684\u6a21\u578b\u3002\u4e3a\u4e86\u5f25\u8865\u8fd9\u4e00\u77e5\u8bc6\u5dee\u8ddd\uff0c\u7814\u7a76\u4eba\u5458\u5bf9\u84b8\u998f\u8fdb\u884c\u4e86\u5e7f\u6cdb\u7814\u7a76\uff0c\u5b66\u751f\u548c\u8001\u5e08\u7684\u53c2\u6570\u8303\u56f4\u4ece 1.43 \u4ebf\u5230 126 \u4ebf\uff0c\u4f7f\u7528\u8bad\u7ec3\u6570\u636e\u6700\u591a\u8fbe 5120 \u4ebf token\u3002<\/section>\n<section>\u00a0<\/section>\n<section>\u7814\u7a76\u53d1\u73b0\uff1a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7b43a199e74abb8a14fe61df15141a36.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7b43a199e74abb8a14fe61df15141a36.png\"><\/a><\/section>\n<section>1. \u4e00\u4e2a\u5927\u5c0f\u4e3a N_S \u7684\u5b66\u751f\u6a21\u578b\uff0c\u901a\u8fc7\u4ece\u5927\u5c0f\u4e3a N_T \u7684\u6559\u5e08\u6a21\u578b\u4e2d\u84b8\u998f D_S \u4e2a token \u6240\u5f97\u5230\u7684\u4ea4\u53c9\u71b5\uff0c\u53ef\u4ee5\u901a\u8fc7\u84b8\u998f\u6269\u5c55\u5b9a\u5f8b\uff08\u516c\u5f0f 8\uff09\u8fdb\u884c\u9884\u6d4b\u3002<\/section>\n<section>2. \u8001\u5e08\u5927\u5c0f N_T \u548c\u8001\u5e08\u8bad\u7ec3 token \u6570\u91cf D_T \u4ec5\u901a\u8fc7\u786e\u5b9a\u8001\u5e08\u7684\u4ea4\u53c9\u71b5 L_T = L_T (N_T , D_T) \u6765\u786e\u5b9a\u5b66\u751f\u4ea4\u53c9\u71b5\uff1b<\/section>\n<section>3. \u8001\u5e08\u4ea4\u53c9\u71b5\u5bf9\u5b66\u751f\u635f\u5931\u7684\u5f71\u54cd\u9075\u5faa\u5e42\u5f8b\uff0c\u8be5\u5e42\u5f8b\u6839\u636e\u5b66\u751f\u548c\u8001\u5e08\u7684\u76f8\u5bf9\u5b66\u4e60\u80fd\u529b\u5728\u4e24\u79cd\u884c\u4e3a\u4e4b\u95f4\u8f6c\u6362\uff0c\u53cd\u6620\u4e86\u84b8\u998f\u4e2d\u79f0\u4e3a\u80fd\u529b\u5dee\u8ddd\u7684\u73b0\u8c61\uff0c\u5373\u8f83\u5f3a\u7684\u8001\u5e08\u4f1a\u4ea7\u751f\u8f83\u5dee\u7684\u5b66\u751f\u3002\u8be5\u5de5\u4f5c\u7684\u53c2\u6570\u5316\u89e3\u51b3\u4e86\u6709\u5173\u80fd\u529b\u5dee\u8ddd\u60ac\u800c\u672a\u51b3\u7684\u95ee\u9898\uff0c\u8868\u660e\u8fd9\u662f\u8001\u5e08\u548c\u5b66\u751f\u4e4b\u95f4\u5b66\u4e60\u80fd\u529b\uff08\u5047\u8bbe\u7a7a\u95f4\u548c\u4f18\u5316\u80fd\u529b\uff09\u7684\u5dee\u8ddd\uff0c\u800c\u4e0d\u4ec5\u4ec5\u662f\u4ed6\u4eec\u7684\u76f8\u5bf9\u5927\u5c0f\uff0c\u540e\u8005\u5176\u5b9e\u662f\u4e00\u79cd\u7279\u6b8a\u60c5\u51b5\u3002<\/section>\n<section><\/section>\n<section>\u8be5\u7ed3\u679c\u8868\u660e\uff0c\u5f53\u4e24\u4e2a\u5b66\u4e60\u8fc7\u7a0b\u90fd\u6709\u8db3\u591f\u7684\u6570\u636e\u6216\u8ba1\u7b97\u65f6\uff0c\u84b8\u998f\u4e0d\u80fd\u4ea7\u751f\u6bd4\u76d1\u7763\u5b66\u4e60\u66f4\u4f4e\u7684\u6a21\u578b\u4ea4\u53c9\u71b5\u3002\u4f46\u662f\uff0c\u5982\u679c\u4ee5\u4e0b\u4e24\u4e2a\u6761\u4ef6\u90fd\u6210\u7acb\uff0c\u5219\u84b8\u998f\u6bd4\u76d1\u7763\u5b66\u4e60\u66f4\u6709\u6548\uff1a<\/section>\n<section><\/section>\n<section>1. \u7528\u4e8e\u5b66\u751f\u7684\u603b\u8ba1\u7b97\u6216 token \u4e0d\u5927\u4e8e\u65b0\u6269\u5c55\u5b9a\u5f8b\u7ed9\u51fa\u7684\u5b66\u751f\u5927\u5c0f\u76f8\u5173\u9608\u503c\uff1b<\/section>\n<section>2. \u8001\u5e08\u5df2\u7ecf\u5b58\u5728\uff0c\u6216\u8005\u8981\u8bad\u7ec3\u7684\u8001\u5e08\u6709\u8d85\u51fa\u5355\u6b21\u84b8\u998f\u7684\u7528\u9014\u3002<\/section>\n<section><\/section>\n<section>\u65b0\u7684\u5b9a\u5f8b\u548c\u5206\u6790\u6709\u671b\u6307\u5bfc AI \u793e\u533a\u6784\u5efa\u66f4\u5f3a\u5927\u7684\u6a21\u578b\uff0c\u5b9e\u73b0\u66f4\u4f4e\u7684\u63a8\u7406\u6210\u672c\u548c\u603b\u8ba1\u7b97\u6210\u672c\u3002<\/section>\n<section><\/section>\n<section><strong>\u84b8\u998f\u6269\u5c55\u7387<\/strong><\/section>\n<section><\/section>\n<section>\u6587\u7ae0\u6982\u8ff0\u4e86\u4ed6\u4eec\u5982\u4f55\u5f97\u51fa\u84b8\u998f\u6269\u5c55\u7387\u6240\u91c7\u53d6\u7684\u6b65\u9aa4\u3002<\/section>\n<section><\/section>\n<section>\u9996\u5148\u662f\u5b9e\u9a8c\u8bbe\u7f6e\u3002\u672c\u6587\u7684\u76ee\u6807\u662f\u7406\u89e3\u6559\u5e08\u6a21\u578b\u5728\u84b8\u998f\u8fc7\u7a0b\u4e2d\u7684\u4f5c\u7528\uff0c\u56e0\u6b64\uff0c\u8be5\u7814\u7a76\u5728\u7eaf\u84b8\u998f\u60c5\u51b5\u4e0b\uff08\u03bb = 1\uff0c\u516c\u5f0f 7\uff09\u8fdb\u884c\u84b8\u998f\uff0c\u4ee5\u907f\u514d\u6570\u636e\u5e26\u6765\u7684\u6df7\u6dc6\u3002\u672c\u6587\u9a8c\u8bc1\u4e86 \u03bb = 1 \u7684\u9009\u62e9\u80fd\u591f\u4ea7\u751f\u4e0e\u6700\u4f18 \u03bb\u2217 \u7edf\u8ba1\u76f8\u4f3c\u7684\u7ed3\u679c\u3002\u540c\u6837\uff0c\u6240\u6709\u5b9e\u9a8c\u5747\u4f7f\u7528\u84b8\u998f\u6e29\u5ea6\uff08\u03c4 = 1\uff09\uff0c\u56e0\u4e3a\u8be5\u7814\u7a76\u53d1\u73b0\u8fd9\u80fd\u4ea7\u751f\u6027\u80fd\u6700\u4f73\u7684\u5b66\u751f\u6a21\u578b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-026fe0fd1b0efec3eefb41ef78b76d99.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-026fe0fd1b0efec3eefb41ef78b76d99.png\"><\/a><\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a4f85aae50f2fa9f4f845c2f6ddcf898.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a4f85aae50f2fa9f4f845c2f6ddcf898.png\"><\/a><\/section>\n<section>\u8868 1 \u662f\u6587\u4e2d\u51fa\u73b0\u7684\u7b26\u53f7\u4ee3\u8868\u5185\u5bb9\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-331e9e272d7fa0145fc6935684059048.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-331e9e272d7fa0145fc6935684059048.png\"><\/a><\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-6f8ab1a93858f601efeb09008de3ab8b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-6f8ab1a93858f601efeb09008de3ab8b.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u5bf9\u5e94\u4e2d\u6587\u7248\u672c<\/sup><\/em><\/section>\n<section><\/section>\n<section>\u6b64\u5916\uff0c\u5bf9\u4e8e\u5b9e\u9a8c\u6570\u636e\u7684\u9009\u62e9\uff0c\u672c\u6587\u7ed3\u5408\u4e86\u4e09\u79cd\u65b9\u6848\uff1a<\/section>\n<section><\/section>\n<section>\u56fa\u5b9a M \u7684\u6559\u5e08 \/ \u5b66\u751f IsoFLOP \u5b9e\u9a8c\uff1a<\/section>\n<section><\/section>\n<section>\u672c\u6587\u9884\u6d4b\u5728\u56fa\u5b9a\u6559\u5e08\u6a21\u578b\u7684\u60c5\u51b5\u4e0b\uff0c\u5b66\u751f\u6a21\u578b\u7684\u53c2\u6570\uff08N_S\uff09\u548c\u8bad\u7ec3 token \u6570\u91cf\uff08D_S\uff09\u4e4b\u95f4\u4f1a\u5448\u73b0\u51fa\u5e42\u5f8b\u884c\u4e3a\u3002<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u5728\u7ed9\u5b9a\u7684\u8ba1\u7b97\u9884\u7b97\u5185\u751f\u6210\u5c3d\u53ef\u80fd\u591a\u6837\u7684\u6559\u5e08\u6a21\u578b\uff0c\u672c\u6587\u8bad\u7ec3\u4e86\u516d\u4e2a Chinchilla \u6700\u4f18\u6559\u5e08\u6a21\u578b\uff0c\u5176\u53c2\u6570\u8303\u56f4\u4ece 1.98 \u4ebf\u5230 77.5 \u4ebf\u3002\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u6559\u5e08\u6a21\u578b\uff0c\u672c\u6587\u6309\u7167\u6807\u51c6\u8bad\u7ec3\u6210\u672c\uff0c\u5c06\u5176\u84b8\u998f\u5230\u5177\u6709\u56db\u79cd IsoFLOP \u914d\u7f6e\u7684\u5b66\u751f\u6a21\u578b\u4e2d\u3002\u6700\u7ec8\u5f97\u5230\u7684\u5b66\u751f\u6a21\u578b\u4ea4\u53c9\u71b5\u5982\u56fe 2 \u6240\u793a\u3002\u4f5c\u8005\u8fd8\u6ce8\u610f\u5230\uff0c\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u5b66\u751f\u6a21\u578b\u80fd\u591f\u8d85\u8d8a\u6559\u5e08\u6a21\u578b\u7684\u8868\u73b0\uff0c\u5373\u5c55\u73b0\u51fa\u5f31\u5230\u5f3a\u7684\u6cdb\u5316\u80fd\u529b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b10c082765c74a24d47cf90a46771858.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b10c082765c74a24d47cf90a46771858.png\"><\/a><\/section>\n<section>\u6ce8\uff1a\u4e3a\u5b9e\u73b0\u6269\u5c55\u7cfb\u6570\u7684\u53ef\u9760\u8bc6\u522b\uff0c\u6b64\u524d\u6709\u7814\u7a76\u4f7f\u7528\u4e86\u4e24\u79cd\u7b56\u7565\uff1a<\/section>\n<section><\/section>\n<ul>\n<li>\n<section>\uff08\u56fa\u5b9a\u6a21\u578b\uff0c\u53d8\u5316\u6570\u636e\uff09 \u5bf9\u4e8e\u4e00\u4e2a\u56fa\u5b9a\u7684\u6a21\u578b\u65cf\uff0c\u53d8\u5316\u8bad\u7ec3 token \u7684\u6570\u91cf\u3002<\/section>\n<\/li>\n<li>\n<section>\uff08IsoFLOP \u914d\u7f6e\uff09 \u5728\u603b\u8ba1\u7b97\u7ea6\u675f\u4e0b\uff0c\u540c\u65f6\u53d8\u5316\u6a21\u578b\u5927\u5c0f\u548c\u8bad\u7ec3 token \u7684\u6570\u91cf\u3002<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>\u4e3a\u4e86\u786e\u4fdd\u5b9e\u9a8c\u80fd\u591f\u68c0\u6d4b\u5230\u8fd9\u79cd\u5f71\u54cd\uff0c\u672c\u6587\u8bbe\u5b9a\u5b66\u751f\uff08N_S\uff0cD_S\uff09\u662f\u56fa\u5b9a\u7684\uff0c\u800c N_T \u548c D_T \u5728\u8ba1\u7b97\u7ea6\u675f\u4e0b\u53d8\u5316\u3002\u672c\u6587\u8fdb\u884c\u4e86\u84b8\u998f\u5b9e\u9a8c\uff0c\u5c06\u56db\u4e2a Chinchilla \u6700\u4f18\uff08M_S = D_S\/N_S \u2248 20\uff09\u7684\u5b66\u751f\uff08\u5176\u53c2\u6570\u8303\u56f4\u4ece 1.98 \u4ebf\u5230 18.2 \u4ebf\uff09\uff0c\u4ece\u6839\u636e\u56db\u79cd IsoFLOP \u914d\u7f6e\u8bad\u7ec3\u7684\u6559\u5e08\u4e2d\u84b8\u998f\u51fa\u6765\u3002\u6700\u7ec8\u5f97\u5230\u7684\u5b66\u751f\u4ea4\u53c9\u71b5\u5982\u56fe 3 \u6240\u793a\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-c16b072d66cf0f2abc1538a53de2522b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-c16b072d66cf0f2abc1538a53de2522b.png\"><\/a><\/section>\n<section>\u6700\u540e\uff0c\u672c\u6587\u8bad\u7ec3\u4e86\u56fa\u5b9a M \u7684\u6559\u5e08\u6a21\u578b\u4e0e\u56fa\u5b9a M \u7684\u5b66\u751f\u6a21\u578b\u7684\u7ec4\u5408\uff0c\u5176\u4e2d\u5305\u542b\u5341\u4e2a\u6559\u5e08\u6a21\u578b\uff08M_T \u2248 20\uff09\u548c\u4e94\u79cd\u89c4\u6a21\u7684\u5b66\u751f\u6a21\u578b\uff0c\u6bcf\u4e2a\u5b66\u751f\u6a21\u578b\u81f3\u5c11\u5bf9\u5e94\u56db\u79cd M_S \u9009\u62e9\u3002\u5176\u4e2d\u4e24\u4e2a\u5b66\u751f\u6a21\u578b\u7684\u4ea4\u53c9\u71b5\u7ed3\u679c\u5982\u56fe 4 \u6240\u793a\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ba4942fdb57752c62627a70ed55d7682.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ba4942fdb57752c62627a70ed55d7682.png\"><\/a><\/section>\n<section>\u6b64\u5916\uff0c\u672c\u6587\u8fd8\u9700\u8981\u786e\u5b9a\u84b8\u998f\u6269\u5c55\u5b9a\u5f8b\u7684\u51fd\u6570\u5f62\u5f0f\u3002\u9996\u5148\uff0c\u672c\u6587\u89c2\u5bdf\u5230\u6559\u5e08\u6a21\u578b\u7684\u5927\u5c0f N_T \u548c\u9884\u8bad\u7ec3 token \u6570\u91cf D_T \u7684\u8d21\u732e\u53ef\u4ee5\u901a\u8fc7\u6559\u5e08\u6a21\u578b\u7684\u4ea4\u53c9\u71b5 L_T \u6765\u603b\u7ed3\u3002\u8fd9\u53ef\u4ee5\u4ece\u56fe 1 \u548c\u56fe 3b \u4e2d\u770b\u51fa\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-72d9e72d95dde0ab06d4a295751d1ccc.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-72d9e72d95dde0ab06d4a295751d1ccc.png\"><\/a><\/section>\n<section>\u603b\u4e4b\uff0c\u672c\u6587\u63d0\u51fa\uff0c\u5b66\u751f\u4ea4\u53c9\u71b5\u5728 L_T \u4e2d\u9075\u5faa broken \u5e42\u5f8b\uff0c\u5728 N_S \u548c D_S \u4e2d\u9075\u5faa\u5e42\u5f8b\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b9dabf9db0859be65042c6ed86833521.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b9dabf9db0859be65042c6ed86833521.png\"><\/a><\/section>\n<section>\u5728\u6b64\u4e4b\u540e\uff0c\u8bba\u6587\u5206\u6790\u4e86\u5728\u4e0d\u540c\u8ba1\u7b97\u9884\u7b97\u4e0b\u5982\u4f55\u6700\u4f18\u5730\u5206\u914d\u6559\u5e08\u548c\u5b66\u751f\u6a21\u578b\u7684\u8d44\u6e90\uff0c\u5305\u62ec\u6559\u5e08\u6a21\u578b\u7684\u8bad\u7ec3\u6210\u672c\u548c\u5b66\u751f\u6a21\u578b\u7684\u84b8\u998f\u6210\u672c\uff0c\u5e76\u6bd4\u8f83\u4e86\u84b8\u998f\u548c\u76d1\u7763\u5b66\u4e60\u5728\u4e0d\u540c\u8ba1\u7b97\u9884\u7b97\u4e0b\u7684\u6027\u80fd\uff0c\u53d1\u73b0\u5f53\u6559\u5e08\u6a21\u578b\u7684\u8bad\u7ec3\u6210\u672c\u88ab\u8003\u8651\u65f6\uff0c\u76d1\u7763\u5b66\u4e60\u901a\u5e38\u66f4\u6709\u6548\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u9879\u5de5\u4f5c\u4ee3\u8868\u4e86\u5df2\u77e5\u6700\u5927\u89c4\u6a21\u7684\u84b8\u998f\u53d7\u63a7\u5b9e\u8bc1\u7814\u7a76\uff0c\u7cfb\u7edf\u6d88\u878d\u4e86\u5e38\u89c1\u7684\u84b8\u998f\u6280\u672f\u3002\u6b63\u5982\u76d1\u7763\u6269\u5c55\u51cf\u8f7b\u4e86\u76d1\u7763\u9884\u8bad\u7ec3\u4e2d\u7684\u98ce\u9669\u4e00\u6837\uff0c\u65b0\u5de5\u4f5c\u4e3a\u751f\u4ea7\u66f4\u5c0f\u3001\u66f4\u5f3a\u5927\u7684\u6a21\u578b\u63d0\u4f9b\u4e86\u8def\u7ebf\u56fe\uff0c\u5e76\u589e\u5f3a\u4e86\u6d4b\u8bd5\u65f6\u6269\u5c55\u7684\u53ef\u884c\u6027\u3002<\/section>\n<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-14-4\" target=\"_blank\">\u82f9\u679c\u4e5f\u5728\u84b8\u998f\u5927\u6a21\u578b\uff0c\u7ed9\u51fa\u4e86\u84b8\u998fScaling Laws<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:\u82f9\u679c\u4e5f\u5728\u84b8\u998f\u5927\u6a21\u578b\uff0c\u7ed9 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[27],"tags":[68],"class_list":["post-38372","post","type-post","status-publish","format-standard","hentry","category-news","tag-68"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u82f9\u679c\u4e5f\u5728\u84b8\u998f\u5927\u6a21\u578b\uff0c\u7ed9\u51fa\u4e86\u84b8\u998fScaling Laws - \u4e00\u8d77AI\u6280\u672f<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/17aitech.com\/?p=38372\" \/>\n<script type=\"application\/ld+json\" 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