{"id":3796,"date":"2026-01-31T06:32:58","date_gmt":"2026-01-31T06:32:58","guid":{"rendered":"https:\/\/umaax.com\/shenmeshiguimodinglyuscalinglawaibaikezhishi\/"},"modified":"2026-01-31T06:32:58","modified_gmt":"2026-01-31T06:32:58","slug":"shenmeshiguimodinglyuscalinglawaibaikezhishi","status":"publish","type":"post","link":"https:\/\/umaax.com\/en\/shenmeshiguimodinglyuscalinglawaibaikezhishi\/","title":{"rendered":"\u4ec0\u4e48\u662f\u89c4\u6a21\u5b9a\u5f8b\uff08Scaling Law\uff09 \u2013 AI\u767e\u79d1\u77e5\u8bc6"},"content":{"rendered":"<p>\u89c4\u6a21\u5b9a\u5f8b\uff08Scaling Law\uff09\u7684\u6982\u5ff5\u5728\u4e0d\u540c\u5b66\u79d1\u9886\u57df\u4e2d\u6709\u4e0d\u540c\u7684\u5e94\u7528\uff0c\u4f46\u5728\u4eba\u5de5\u667a\u80fd\u548c\u673a\u5668\u5b66\u4e60\u9886\u57df\uff0c\u5b83\u4e3b\u8981\u7528\u6765\u63cf\u8ff0\u6a21\u578b\u6027\u80fd\u5982\u4f55\u968f\u7740\u6a21\u578b\u5927\u5c0f\u3001\u6570\u636e\u96c6\u5927\u5c0f\u548c\u8ba1\u7b97\u8d44\u6e90\u7684\u589e\u52a0\u800c\u53d8\u5316\u3002\u968f\u7740\u6a21\u578b\u4e2d\u53c2\u6570\u6570\u91cf\u7684\u589e\u52a0\uff0c\u6027\u80fd\u901a\u5e38\u4f1a\u6309\u7167\u5e42\u5f8b\u6539\u5584\u3002\u66f4\u5927\u7684\u8bad\u7ec3\u6570\u636e\u96c6\u901a\u5e38\u5e26\u6765\u66f4\u597d\u7684\u6027\u80fd\uff0c\u4e5f\u9075\u5faa\u5e42\u5f8b\u5173\u7cfb\u3002\u7528\u4e8e\u8bad\u7ec3\u7684\u8ba1\u7b97\u8d44\u6e90\uff08\u6d6e\u70b9\u8fd0\u7b97\u6b21\u6570\uff09\u4e0e\u6027\u80fd\u6539\u5584\u76f8\u5173\u3002<\/p>\n<h2>\u4ec0\u4e48\u662f\u89c4\u6a21\u5b9a\u5f8b<\/h2>\n<p>\u89c4\u6a21\u5b9a\u5f8b\uff08Scaling Law\uff09\u63cf\u8ff0\u4e86\u6a21\u578b\u6027\u80fd\u5982\u4f55\u968f\u7740\u6a21\u578b\u89c4\u6a21\uff08\u5982\u53c2\u6570\u6570\u91cf\uff09\u3001\u8bad\u7ec3\u6570\u636e\u96c6\u5927\u5c0f\u4ee5\u53ca\u7528\u4e8e\u8bad\u7ec3\u7684\u8ba1\u7b97\u8d44\u6e90\u7684\u589e\u52a0\u800c\u53d8\u5316\u3002\u4f53\u73b0\u4e3a\u6a21\u578b\u6027\u80fd\u4e0e\u8fd9\u4e9b\u56e0\u7d20\u4e4b\u95f4\u7684\u5e42\u5f8b\u5173\u7cfb\uff0c\u5373\u6a21\u578b\u6027\u80fd\u4f1a\u968f\u7740\u89c4\u6a21\u7684\u589e\u957f\u800c\u6309\u7167\u4e00\u5b9a\u7684\u89c4\u5f8b\u6027\u53d8\u5316\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u968f\u7740\u6a21\u578b\u53c2\u6570\u91cf\u7684\u589e\u52a0\u3001\u6570\u636e\u96c6\u7684\u6269\u5927\u548c\u8ba1\u7b97\u8d44\u6e90\u7684\u63d0\u5347\uff0c\u6a21\u578b\u6027\u80fd\u4f1a\u5f97\u5230\u6539\u5584\uff0c\u4f46\u8fd9\u79cd\u6539\u5584\u9075\u5faa\u7279\u5b9a\u7684\u5e42\u5f8b\u89c4\u5f8b\u3002\u8fd9\u4e00\u6982\u5ff5\u5bf9\u4e8e\u4f18\u5316\u6a21\u578b\u8bbe\u8ba1\u3001\u8bad\u7ec3\u7b56\u7565\u548c\u8d44\u6e90\u5206\u914d\u5177\u6709\u91cd\u8981\u610f\u4e49\uff0c\u56e0\u4e3a\u5b83\u63d0\u4f9b\u4e86\u4e00\u79cd\u9884\u6d4b\u6a21\u578b\u6027\u80fd\u548c\u89c4\u5212\u8d44\u6e90\u6295\u5165\u7684\u7406\u8bba\u57fa\u7840\u3002<\/p>\n<h2>\u89c4\u6a21\u5b9a\u5f8b\u7684\u5de5\u4f5c\u539f\u7406<\/h2>\n<p>\u89c4\u6a21\u5b9a\u5f8b\u7684\u6570\u5b66\u8868\u8fbe\u5448\u73b0\u4e3a\u5e42\u5f8b\u5173\u7cfb\uff0c\u5373\u6a21\u578b\u6027\u80fd\uff08L\uff09\u4e0e\u67d0\u4e2a\u5173\u952e\u56e0\u7d20\uff08\u5982\u53c2\u6570\u91cfN\u3001\u6570\u636e\u91cfD\u3001\u8ba1\u7b97\u91cfC\uff09\u4e4b\u95f4\u7684\u5173\u7cfb\u53ef\u4ee5\u8868\u793a\u4e3a<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">L=(cx)\u03b1<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">L<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size1\">(<\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size1\">)<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">\u03b1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u5176\u4e2d<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">x<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u4ee3\u8868\u5173\u952e\u56e0\u7d20\uff0c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">c<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03b1<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">\u03b1<\/span><\/span><\/span><\/span><\/span>\u662f\u5e38\u6570\u3002\u968f\u7740<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">x<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u7684\u589e\u52a0\uff0c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">L<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">L<\/span><\/span><\/span><\/span><\/span>\u5448\u73b0\u5e42\u5f8b\u4e0b\u964d\uff0c\u8868\u660e\u6a21\u578b\u6027\u80fd\u9010\u6e10\u63d0\u5347\u3002\u89c4\u6a21\u5b9a\u5f8b\u4e3a\u7814\u7a76\u8005\u63d0\u4f9b\u4e86\u9884\u6d4b\u6a21\u578b\u6027\u80fd\u7684\u6709\u6548\u65b9\u6cd5\u3002\u5728\u8bad\u7ec3\u5927\u8bed\u8a00\u6a21\u578b\u4e4b\u524d\uff0c\u7814\u7a76\u8005\u53ef\u4ee5\u5229\u7528\u5c0f\u89c4\u6a21\u6a21\u578b\u548c\u6570\u636e\u96c6\u4e0a\u7684\u5b9e\u9a8c\u7ed3\u679c\uff0c\u901a\u8fc7\u89c4\u6a21\u5b9a\u5f8b\u4f30\u7b97\u51fa\u5927\u89c4\u6a21\u6a21\u578b\u5728\u4e0d\u540c\u6761\u4ef6\u4e0b\u7684\u6027\u80fd\u8868\u73b0\u3002\u8fd9\u6709\u52a9\u4e8e\u63d0\u524d\u8bc4\u4f30\u6a21\u578b\u7684\u6f5c\u529b\uff0c\u4f18\u5316\u8bad\u7ec3\u7b56\u7565\u548c\u8d44\u6e90\u5206\u914d\u3002<\/p>\n<p>\u5728\u6a21\u578b\u89c4\u6a21\u8f83\u5c0f\u7684\u60c5\u51b5\u4e0b\uff0c\u589e\u52a0\u53c2\u6570\u91cf\u53ef\u4ee5\u663e\u8457\u63d0\u5347\u6a21\u578b\u6027\u80fd\uff1b\u4f46\u5f53\u6a21\u578b\u89c4\u6a21\u8fbe\u5230\u4e00\u5b9a\u7a0b\u5ea6\u540e\uff0c\u6027\u80fd\u63d0\u5347\u7684\u901f\u5ea6\u4f1a\u9010\u6e10\u653e\u7f13\u3002\u540c\u6837\u5730\uff0c\u8bad\u7ec3\u6570\u636e\u91cf\u4e5f\u662f\u5f71\u54cd\u6a21\u578b\u6027\u80fd\u7684\u5173\u952e\u56e0\u7d20\u4e4b\u4e00\u3002\u968f\u7740\u6570\u636e\u91cf\u7684\u589e\u52a0\uff0c\u6a21\u578b\u80fd\u591f\u5b66\u4e60\u5230\u66f4\u591a\u7684\u7279\u5f81\u548c\u4fe1\u606f\uff0c\u4ece\u800c\u63d0\u5347\u6027\u80fd\u3002\u7136\u800c\uff0c\u5f53\u6570\u636e\u91cf\u589e\u52a0\u5230\u4e00\u5b9a\u7a0b\u5ea6\u540e\uff0c\u6a21\u578b\u6027\u80fd\u7684\u63d0\u5347\u4e5f\u4f1a\u9010\u6e10\u8d8b\u4e8e\u9971\u548c\u3002\u8ba1\u7b97\u91cf\u4f5c\u4e3a\u8861\u91cf\u6a21\u578b\u8bad\u7ec3\u590d\u6742\u5ea6\u7684\u6307\u6807\u4e4b\u4e00\uff0c\u540c\u6837\u5bf9\u6a21\u578b\u6027\u80fd\u6709\u7740\u91cd\u8981\u5f71\u54cd\u3002\u589e\u52a0\u8ba1\u7b97\u91cf\u53ef\u4ee5\u63d0\u9ad8\u6a21\u578b\u7684\u8bad\u7ec3\u7cbe\u5ea6\u548c\u6cdb\u5316\u80fd\u529b\uff0c\u4f46\u4e5f\u4f1a\u5e26\u6765\u66f4\u9ad8\u7684\u8ba1\u7b97\u6210\u672c\u548c\u65f6\u95f4\u6d88\u8017\u3002<\/p>\n<p>\u4e3a\u4e86\u83b7\u5f97\u66f4\u597d\u7684\u6027\u80fd\uff0c\u6240\u9700\u7684\u6570\u636e\u91cf\u4f1a\u968f\u7740\u6a21\u578b\u5927\u5c0f\u7684\u589e\u52a0\u800c\u589e\u52a0\uff0c\u5177\u4f53\u8868\u73b0\u4e3a\u6570\u636e\u91cf\u9700\u4e0e\u6a21\u578b\u5927\u5c0f\u7684\u5e73\u65b9\u6839\u6210\u6b63\u6bd4\u3002\u5c3d\u7ba1\u589e\u52a0\u6a21\u578b\u5927\u5c0f\u6216\u6570\u636e\u91cf\u53ef\u4ee5\u663e\u8457\u63d0\u5347\u6027\u80fd\uff0c\u4f46\u5f53\u8fbe\u5230\u4e00\u5b9a\u89c4\u6a21\u540e\uff0c\u6027\u80fd\u63d0\u5347\u4f1a\u9010\u6e10\u51cf\u7f13\uff0c\u751a\u81f3\u8d8b\u4e8e\u9971\u548c\u3002\u5728\u4e0d\u540c\u7c7b\u578b\u7684\u673a\u5668\u5b66\u4e60\u6a21\u578b\u4e2d\uff0c\u5982CNN\u3001RNN\u3001Transformer\u7b49\uff0c\u89c4\u6a21\u5b9a\u5f8b\u7684\u5e94\u7528\u548c\u6548\u679c\u5b58\u5728\u663e\u8457\u5dee\u5f02\u3002\u5bf9\u4e8eTransformer\u6a21\u578b\uff0c\u7814\u7a76\u8868\u660e\u5176\u6027\u80fd\u53ef\u4ee5\u901a\u8fc7\u6a21\u578b\u5927\u5c0f\u3001\u8bad\u7ec3\u6570\u636e\u91cf\u548c\u8ba1\u7b97\u8d44\u6e90\u7684\u589e\u52a0\u6765\u9884\u6d4b\uff0c\u8fd9\u7b26\u5408\u89c4\u6a21\u5b9a\u5f8b\u7684\u57fa\u672c\u539f\u5219\u3002<\/p>\n<h2>\u89c4\u6a21\u5b9a\u5f8b\u7684\u4e3b\u8981\u5e94\u7528<\/h2>\n<ul>\n<li><strong>\u9884\u6d4b\u6a21\u578b\u6027\u80fd<\/strong>\uff1a\u89c4\u6a21\u5b9a\u5f8b\u5141\u8bb8\u7814\u7a76\u8005\u548c\u5de5\u7a0b\u5e08\u5728\u5b9e\u9645\u8bad\u7ec3\u5927\u578b\u6a21\u578b\u4e4b\u524d\uff0c\u901a\u8fc7\u5c0f\u89c4\u6a21\u6a21\u578b\u548c\u6570\u636e\u96c6\u7684\u5b9e\u9a8c\u7ed3\u679c\u6765\u9884\u6d4b\u5927\u89c4\u6a21\u6a21\u578b\u7684\u6027\u80fd\u3002<\/li>\n<li><strong>\u4f18\u5316\u8bad\u7ec3\u7b56\u7565<\/strong>\uff1a\u89c4\u6a21\u5b9a\u5f8b\u63ed\u793a\u4e86\u6a21\u578b\u53c2\u6570\u91cf\u3001\u6570\u636e\u91cf\u548c\u8ba1\u7b97\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u8fd9\u6709\u52a9\u4e8e\u7814\u7a76\u8005\u5236\u5b9a\u66f4\u52a0\u5408\u7406\u7684\u8bad\u7ec3\u7b56\u7565\u3002<\/li>\n<li><strong>\u5206\u6790\u6a21\u578b\u6781\u9650<\/strong>\uff1a\u89c4\u6a21\u5b9a\u5f8b\u8fd8\u6709\u52a9\u4e8e\u5206\u6790\u6a21\u578b\u7684\u6781\u9650\u6027\u80fd\u3002\u901a\u8fc7\u4e0d\u65ad\u589e\u52a0\u6a21\u578b\u7684\u89c4\u6a21\uff08\u5982\u53c2\u6570\u91cf\u3001\u6570\u636e\u91cf\u6216\u8ba1\u7b97\u91cf\uff09\uff0c\u7814\u7a76\u8005\u53ef\u4ee5\u89c2\u5bdf\u6a21\u578b\u6027\u80fd\u7684\u53d8\u5316\u8d8b\u52bf\uff0c\u5e76\u5c1d\u8bd5\u63a8\u65ad\u51fa\u6a21\u578b\u7684\u6781\u9650\u6027\u80fd\u3002<\/li>\n<li><strong>\u8d44\u6e90\u5206\u914d\u548c\u6210\u672c\u6548\u76ca\u5206\u6790<\/strong>\uff1a\u5728AI\u9879\u76ee\u7684\u9884\u7b97\u548c\u8d44\u6e90\u5206\u914d\u4e2d\uff0c\u89c4\u6a21\u5b9a\u5f8b\u63d0\u4f9b\u4e86\u4e00\u4e2a\u91cd\u8981\u7684\u53c2\u8003\u4f9d\u636e\u3002\u901a\u8fc7\u7406\u89e3\u6a21\u578b\u6027\u80fd\u5982\u4f55\u968f\u7740\u89c4\u6a21\u7684\u589e\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