{"id":39040,"date":"2025-02-28T08:01:49","date_gmt":"2025-02-28T00:01:49","guid":{"rendered":"https:\/\/17aitech.com\/?p=39040"},"modified":"2025-02-28T08:01:49","modified_gmt":"2025-02-28T00:01:49","slug":"mlsys25-%e6%9e%81%e4%bd%8e%e5%86%85%e5%ad%98%e6%b6%88%e8%80%97%ef%bc%9a%e7%94%a8sgd%e7%9a%84%e5%86%85%e5%ad%98%e6%88%90%e6%9c%ac%e5%ae%9e%e7%8e%b0adamw%e7%9a%84%e4%bc%98%e5%8c%96%e6%80%a7","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=39040","title":{"rendered":"MLSys\u201925 | \u6781\u4f4e\u5185\u5b58\u6d88\u8017\uff1a\u7528SGD\u7684\u5185\u5b58\u6210\u672c\u5b9e\u73b0AdamW\u7684\u4f18\u5316\u6027\u80fd"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-27-4\" target=\"_blank\">MLSys\u201925 | \u6781\u4f4e\u5185\u5b58\u6d88\u8017\uff1a\u7528SGD\u7684\u5185\u5b58\u6210\u672c\u5b9e\u73b0AdamW\u7684\u4f18\u5316\u6027\u80fd<\/a><\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-81b898d89ee3ffe6981c39231d0ba963.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-81b898d89ee3ffe6981c39231d0ba963.png\"><\/a><\/section>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"166\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<section>AIxiv\u4e13\u680f\u662f\u673a\u5668\u4e4b\u5fc3\u53d1\u5e03\u5b66\u672f\u3001\u6280\u672f\u5185\u5bb9\u7684\u680f\u76ee\u3002\u8fc7\u53bb\u6570\u5e74\uff0c\u673a\u5668\u4e4b\u5fc3AIxiv\u4e13\u680f\u63a5\u6536\u62a5\u9053\u4e862000\u591a\u7bc7\u5185\u5bb9\uff0c\u8986\u76d6\u5168\u7403\u5404\u5927\u9ad8\u6821\u4e0e\u4f01\u4e1a\u7684\u9876\u7ea7\u5b9e\u9a8c\u5ba4\uff0c\u6709\u6548\u4fc3\u8fdb\u4e86\u5b66\u672f\u4ea4\u6d41\u4e0e\u4f20\u64ad\u3002\u5982\u679c\u60a8\u6709\u4f18\u79c0\u7684\u5de5\u4f5c\u60f3\u8981\u5206\u4eab\uff0c\u6b22\u8fce\u6295\u7a3f\u6216\u8005\u8054\u7cfb\u62a5\u9053\u3002\u6295\u7a3f\u90ae\u7bb1\uff1aliyazhou@jiqizhixin.com\uff1bzhaoyunfeng@jiqizhixin.com<\/section>\n<\/section>\n<\/blockquote>\n<section><\/section>\n<section><strong>\u672c\u6587\u7b2c\u4e00\u4f5c\u8005 Hanqing Zhu \u4e0e Zhengyu Zhang \u5747\u4e3a UT Austin \u535a\u58eb\u751f\u3002Hanqing Zhu \u4e13\u6ce8\u4e8e\u9ad8\u6548 AI \u8ba1\u7b97\uff0c\u81f4\u529b\u4e8e\u4f18\u5316\u673a\u5668\u5b66\u4e60\u786c\u4ef6\u3001\u7cfb\u7edf\u53ca\u7b97\u6cd5\uff1bZhengyu Zhang \u805a\u7126\u6784\u5efa\u9ad8\u6548\u53ef\u9760\u7684\u673a\u5668\u5b66\u4e60\u7cfb\u7edf\u3002\u901a\u8baf\u4f5c\u8005\u4e3a UT Austin \u7684 David Z. Pan\u3001Zhangyang Wang \u4ee5\u53ca Meta AI \u7684 Jinwon Lee \u3002<\/strong><\/section>\n<section><\/section>\n<section>\u5927\u8bed\u8a00\u6a21\u578b\uff08LLM\uff09\u6b63\u4ee5\u60ca\u4eba\u7684\u901f\u5ea6\u91cd\u5851\u5404\u4e2a\u9886\u57df\u7684\u683c\u5c40\uff0c\u4f46\u5176\u9884\u8bad\u7ec3\u4e0e\u5fae\u8c03\u8fc7\u7a0b\u5374\u9762\u4e34\u7740\u524d\u6240\u672a\u6709\u7684\u8d44\u6e90\u8003\u9a8c \u2014\u2014 \u4e0d\u4ec5\u9700\u8981\u5e9e\u5927\u7684\u8ba1\u7b97\u80fd\u529b\uff0c\u66f4\u5bf9\u5185\u5b58\u63d0\u51fa\u4e86\u6781\u9ad8\u8981\u6c42\u3002<\/section>\n<section><\/section>\n<section>\u8bad\u7ec3 LLM \u65f6\uff0c\u4e0d\u4ec5\u9700\u8981\u5b58\u50a8\u4ebf\u7ea7\u53c2\u6570\uff0c\u8fd8\u5fc5\u987b\u989d\u5916\u4fdd\u5b58\u68af\u5ea6\u4e0e\u4f18\u5316\u5668\u72b6\u6001\uff08\u4f8b\u5982 Adam \u4e2d\u7684\u52a8\u91cf\u548c\u65b9\u5dee\uff09\u3002<\/section>\n<section><\/section>\n<section>\u4f8b\u5982\uff0c\u9884\u8bad\u7ec3 LLaMA 7B \u7684\u4e00\u4e2a\u6279\u6b21\u5c31\u6d88\u8017\u9ad8\u8fbe 58GB \u5185\u5b58\uff1a14GB \u7528\u4e8e\u6a21\u578b\u53c2\u6570\uff0c42GB \u7528\u4e8e\u4f18\u5316\u5668\u72b6\u6001\u548c\u68af\u5ea6\u3002\u8fd9\u5de8\u5927\u7684 \u201c\u9690\u5f62\u201d \u5185\u5b58\u5f00\u9500\u8feb\u4f7f\u7814\u7a76\u8005\u4e0d\u5f97\u4e0d\u9009\u7528\u663e\u5b58\u66f4\u5927\u7684\u9ad8\u7aef GPU\u3001\u589e\u52a0 GPU \u6570\u91cf\uff0c\u751a\u81f3\u727a\u7272\u8bad\u7ec3\u901f\u5ea6\u8c03\u4f4e\u6279\u91cf\u5927\u5c0f\u3002<\/section>\n<section><\/section>\n<section><strong>\u9996\u6b21\u4ee5\u7c7b SGD \u5185\u5b58\u6210\u672c\u5b8c\u6210\u5927\u6a21\u578b\u8bad\u7ec3<\/strong><\/section>\n<section><\/section>\n<section>UT Austin \u548c Meta AI \u63a8\u51fa\u4e86\u5168\u65b0\u8bad\u7ec3\u7b56\u7565 \u2014\u2014APOLLO\uff08Approximated Gradient Scaling for Memory Efficient LLM Optimization\uff09\u3002\u8fd9\u4e00\u521b\u65b0\u65b9\u6cd5\u9996\u6b21\u5b9e\u73b0\u4e86\u4ee5 SGD \u7ea7\u522b\u7684\u5185\u5b58\u6210\u672c\u8bad\u7ec3\u5927\u6a21\u578b\uff0c\u540c\u65f6\u4fdd\u6301\u4e86 AdamW \u7684\u5353\u8d8a\u4f18\u5316\u6027\u80fd\uff08\u5df2\u5728 LLaMA 7B \u7684\u9884\u8bad\u7ec3\u4e0a\u9a8c\u8bc1\uff09\u3002<\/section>\n<section><\/section>\n<section>\u6587\u7ae0\u5df2\u7ecf\u88ab MLSys 2025 \u63a5\u53d7\uff0c\u540c\u65f6\u76ee\u524d APOLLO \u5df2\u5728 Hugging Face Transformers\u3001LLaMA-Factory \u7b49\u4e3b\u6d41\u5f00\u6e90\u9879\u76ee\u4e2d\u843d\u5730\uff0c\u7814\u7a76\u8005\u53ef\u4ee5\u8f7b\u677e\u8c03\u7528\u8fd9\u4e00\u65b9\u6cd5\u5f00\u5c55\u4f4e\u5185\u5b58\u5927\u6a21\u578b\u8bad\u7ec3\u4e0e\u5fae\u8c03\u3002<\/section>\n<section><\/section>\n<section><strong>\u6838\u5fc3\u4eae\u70b9<\/strong><\/section>\n<section><strong><br \/><\/strong><\/section>\n<ul>\n<li>\n<section>\u6781\u4f4e\u5185\u5b58\u6d88\u8017\uff1a\u9996\u6b21\u4ee5\u7c7b SGD \u5185\u5b58\u6210\u672c\u5b8c\u6210\u5927\u6a21\u578b\u8bad\u7ec3\uff0c\u8fbe\u5230\u751a\u81f3\u8d85\u8d8a AdamW \u7684\u6027\u80fd\u3002<\/section>\n<section><\/section>\n<\/li>\n<li>\n<section>\u65e0\u9700 SVD \u8ba1\u7b97\uff1a\u9996\u6b21\u5b9e\u73b0\u4ec5\u9700\u8f7b\u91cf\u7ea7\u968f\u673a\u6295\u5f71\u8fdb\u884c\u5927\u6a21\u578b\u9884\u8bad\u7ec3\uff0c\u751a\u81f3\u5728 7B \u6a21\u578b\u4e0a\u4f18\u5316\u901f\u5ea6\u8d85\u8d8a Adam\u3002<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section><strong>\u5353\u8d8a\u7cfb\u7edf\u6027\u80fd<\/strong><\/section>\n<section><\/section>\n<ul>\n<li>\n<section>3 \u500d\u9884\u8bad\u7ec3\u52a0\u901f\uff1a\u5728 8 \u5757 A100 GPU \u4e0a\uff0cAPOLLO \u9884\u8bad\u7ec3 LLaMA 7B \u6a21\u578b\u5b9e\u73b0\u4e86 3 \u500d\u7684\u52a0\u901f\u3002<\/section>\n<section><\/section>\n<\/li>\n<li>\n<section>\u7a81\u7834\u89c4\u6a21\u9650\u5236\uff1a\u9996\u6b21\u5229\u7528 DDP \u6210\u529f\u8bad\u7ec3 13B \u6a21\u578b\uff0c\u5e76\u5728 12GB \u5185\u5b58\u7684\u6d88\u8d39\u7ea7 GPU\uff08\u5982 NVIDIA RTX 4090\uff09\u4e0a\u5b8c\u6210 7B \u6a21\u578b\u7684\u9884\u8bad\u7ec3\uff0c\u65e0\u9700\u4f9d\u8d56\u6a21\u578b\u5e76\u884c\u3001\u68c0\u67e5\u70b9\u6216\u5378\u8f7d\u7b56\u7565\u3002<\/section>\n<\/li>\n<\/ul>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7c938d8e3c4726e4a5e34bf5faeee5e7.gif\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7c938d8e3c4726e4a5e34bf5faeee5e7.gif\"><\/a><\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ca53382b61b1acf8faced9dae24fd457.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ca53382b61b1acf8faced9dae24fd457.png\"><\/a><\/section>\n<ul>\n<li>\n<section>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/pdf\/2412.05270<\/section>\n<\/li>\n<li>\n<section>\u8bba\u6587\u7f51\u7ad9\uff1ahttps:\/\/zhuhanqing.github.io\/APOLLO\/<\/section>\n<\/li>\n<li>\n<section>\u8bba\u6587\u4ee3\u7801: https:\/\/github.com\/zhuhanqing\/APOLLO<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section><strong>\u65b9\u6cd5\u7b80\u8981\u4ecb\u7ecd<\/strong><\/section>\n<section><strong><br \/><\/strong><\/section>\n<section><strong>\u4ece Adam \u5230\u7ed3\u6784\u5316\u66f4\u65b0<\/strong><\/section>\n<section><\/section>\n<section>\u5728\u4f20\u7edf\u7684 Adam \u4f18\u5316\u5668\u4e2d\uff0c\u5b66\u4e60\u7387\u7684\u81ea\u9002\u5e94\u66f4\u65b0\u662f\u57fa\u4e8e\u6bcf\u4e2a\u53c2\u6570\u7684\u68af\u5ea6\u52a8\u91cf\u548c\u65b9\u5dee\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-007e004ddf9c9c34ca800b76c85268fc.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-007e004ddf9c9c34ca800b76c85268fc.png\"><\/a><\/section>\n<section>APOLLO \u9996\u5148\u5c06 Adam \u7684\u66f4\u65b0\u8fc7\u7a0b\u7b49\u6548\u7406\u89e3\u4e3a\u5bf9\u539f\u59cb\u68af\u5ea6\u00a0<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-6bf8f2a0122f5341dfb52e1a253a63fa.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-6bf8f2a0122f5341dfb52e1a253a63fa.png\"><\/a> \u65bd\u52a0\u4e00\u4e2a\u57fa\u4e8e\u68af\u5ea6\u52a8\u91cf\u548c\u65b9\u5dee\u7684\u68af\u5ea6\u7f29\u653e\u56e0\u5b50<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-c8b42bab06401d50eff20fc30a63b67c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-c8b42bab06401d50eff20fc30a63b67c.png\"><\/a>\uff0c\u8fdb\u4e00\u6b65\u53d1\u73b0\u8fd9\u4e00\u7f29\u653e\u56e0\u5b50\u53ef\u4ee5\u901a\u8fc7<strong>\u7ed3\u6784\u5316\u66f4\u65b0<\/strong>\uff08\u4f8b\u5982\u6309\u901a\u9053\u6216\u5f20\u91cf\u8fdb\u884c\u7f29\u653e\uff09\u6765\u8fd1\u4f3c\u5b9e\u73b0\u3002<\/section>\n<section><\/section>\n<section>\u5728 LLaMA-130M \u4e0a\u7684\u5b9e\u9a8c\u9a8c\u8bc1\u8868\u660e\uff0c\u7ed3\u6784\u5316\u66f4\u65b0\u4e0d\u4ec5\u4e0d\u4f1a\u5bfc\u81f4\u6027\u80fd\u635f\u5931\uff0c\u53cd\u800c\u4f1a\u7565\u5fae\u63d0\u5347\u6a21\u578b\u6027\u80fd\uff08\u89c1\u56fe 1\uff09\u3002\u8fd9\u4e00\u53d1\u73b0\u4e3a APOLLO \u7684\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u7406\u8bba\u57fa\u7840\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b72df20e979219ad053af81644fc1d32.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b72df20e979219ad053af81644fc1d32.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u56fe 1: \u7ed3\u6784\u5316\u68af\u5ea6\u7f29\u653e\u4e0e Adam \u7684\u8bad\u7ec3\u635f\u5931\u5bf9\u6bd4<\/sup><\/em><\/section>\n<section><\/section>\n<section><strong>APOLLO \u6846\u67b6<\/strong><\/section>\n<section><\/section>\n<section>\u5c3d\u7ba1\u7ed3\u6784\u5316\u66f4\u65b0\u7b80\u5316\u4e86\u4f18\u5316\u5668\u8bbe\u8ba1\uff0c\u4f46\u4ecd\u9700\u4fdd\u5b58\u5b8c\u6574\u7684\u4f18\u5316\u5668\u72b6\u6001\uff0c\u5185\u5b58\u5f00\u9500\u4f9d\u7136\u8f83\u9ad8\u3002\u8fd9\u4fc3\u4f7f\u89e3\u51b3\u4ee5\u4e0b\u5173\u952e\u95ee\u9898\uff1a<\/section>\n<section><\/section>\n<section><strong>\u95ee\u9898\u2460\uff1a\u662f\u5426\u53ef\u4ee5\u5c06\u7ed3\u6784\u5316\u7684\u5b66\u4e60\u7387\u81ea\u9002\u5e94\u8f6c\u6362\u4e3a\u4e00\u79cd\u65e2\u5b9e\u7528\u53c8\u5185\u5b58\u9ad8\u6548\u7684\u4f18\u5316\u65b9\u6cd5\uff1f<\/strong><\/section>\n<section><\/section>\n<section>\u4f5c\u8005\u63d0\u51fa\u4e86 APOLLO\uff0c\u5728\u4f4e\u79e9\u7a7a\u95f4\u4e2d\u6784\u9020\u4e00\u4e2a\u8f85\u52a9\u4f18\u5316\u5668\u72b6\u6001\uff0c\u7528\u4e8e\u9884\u6d4b\u7ed3\u6784\u5316\u66f4\u65b0\u7684\u68af\u5ea6\u7f29\u653e\u56e0\u5b50\uff08\u89c1\u56fe 2\uff09\u3002\u7531\u4e8e\u4f18\u5316\u5668\u72b6\u6001\u5efa\u7acb\u5728\u4f4e\u79e9\u7a7a\u95f4\u4e2d\uff0c\u5176\u5185\u5b58\u5360\u7528\u663e\u8457\u51cf\u5c11\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-8815af842e5e4b7d802b8639d426875e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-8815af842e5e4b7d802b8639d426875e.png\"><\/a><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u56fe 2: APOLLO \u6846\u67b6<\/sup><\/em><\/section>\n<section><\/section>\n<section><strong>\u95ee\u9898\u2461\uff1a\u4f4e\u79e9\u7a7a\u95f4\u4e2d\u7684\u81ea\u9002\u5e94\u5b66\u4e60\u7387\u80fd\u5426\u6709\u6548\u8fd1\u4f3c\u5176\u5728\u539f\u59cb\u7a7a\u95f4\u4e2d\u7684\u884c\u4e3a\uff1f<\/strong><\/section>\n<section><\/section>\n<section>APOLLO \u901a\u8fc7\u7406\u8bba\u8bc1\u660e\uff0c\u4f4e\u79e9\u7a7a\u95f4\u4e2d\u7684\u7ed3\u6784\u5316\u68af\u5ea6\u7f29\u653e\u56e0\u5b50\u80fd\u591f\u6709\u6548\u8fd1\u4f3c\u5176\u5728\u539f\u59cb\u7a7a\u95f4\u4e2d\u7684\u884c\u4e3a\u3002\u540c\u65f6\u4ece\u4f4e\u79e9\u7a7a\u95f4\u9884\u6d4b\u7684\u7f29\u653e\u56e0\u5b50\u4f1a\u4ee5 \u221a(n\/r) \u7684\u6bd4\u4f8b\u53d8\u5316\uff08n \u4e3a\u539f\u59cb\u7a7a\u95f4\u7ef4\u5ea6\uff0cr \u4e3a\u4f4e\u79e9\u7a7a\u95f4\u7684\u79e9\uff09\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u4f7f\u5f97 APOLLO \u53ef\u901a\u8fc7\u653e\u7f29\u7f29\u653e\u56e0\u5b50\u6765\u5f25\u8865\u4f4e\u79e9\u5e26\u6765\u7684\u8bef\u5dee\uff0c \u4ece\u800c\u53ef\u91c7\u7528\u6781\u4f4e\u7684\u79e9\u8fd1\u4f3c\uff0c\u5728\u4e0d\u727a\u7272\u6027\u80fd\u7684\u524d\u63d0\u4e0b\u5b9e\u73b0\u6781\u4f4e\u7684\u5185\u5b58\u6d88\u8017\u3002\u5b9e\u9a8c\u8868\u660e\uff0c\u5728 LLaMA-7B \u4e0a\uff0cAPOLLO \u4ec5\u9700 256 \u7684\u79e9\uff0c\u6027\u80fd\u4ecd\u4f18\u4e8e\u4f7f\u7528 1024 \u79e9\u7684 GaLore\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-eb5dd965bd21d0f3c87c753412880a57.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-eb5dd965bd21d0f3c87c753412880a57.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u56fe 3\uff1a\u68af\u5ea6\u7f29\u653e\u56e0\u5b50\u968f\u79e9\u7684\u53d8\u5316\u6309\u7167\u7406\u8bba\u63a8\u5bfc\u7684 \u221a(n\/r) \u53d8\u5316<\/sup><\/em><\/section>\n<section><em><br \/><\/em><\/section>\n<section><strong>\u95ee\u9898\u2462\uff1a\u662f\u5426\u4ecd\u9700\u8981\u6602\u8d35\u7684 SVD \u6765\u6784\u9020\u4f4e\u79e9\u7a7a\u95f4\uff1f<\/strong><\/section>\n<section><\/section>\n<section>\u4e0d\u9700\u8981\u3002APOLLO \u65e0\u9700\u4f20\u7edf\u65b9\u6cd5\u4e2d\u57fa\u4e8e\u6602\u8d35 SVD \u8fd0\u7b97\u7684\u4f4e\u79e9\u6295\u5f71\u65b9\u6cd5\uff0c\u53ea\u9700\u91c7\u7528\u57fa\u4e8e\u968f\u673a\u6295\u5f71\u7684\u65b9\u6cd5\u3002\u8fd9\u79cd\u65b9\u6cd5\u907f\u514d\u4e86 SVD \u7684\u8ba1\u7b97\u5f00\u9500\uff0c\u5f15\u5165\u4e86\u6781\u4f4e\u7684\u989d\u5916\u8ba1\u7b97\uff0c\u751a\u81f3 APOLLO \u5728 7B \u4e0a\u7684\u4f18\u5316\u901f\u5ea6\u8fd8\u5feb\u4e8e Adam\u3002<\/section>\n<section><strong><br \/><\/strong><\/section>\n<section><strong>\u95ee\u9898\u2463\uff1a\u662f\u5426\u80fd\u8fdb\u4e00\u6b65\u538b\u7f29\u4f18\u5316\u5668\u72b6\u6001\u81f3 SGD \u7684\u5185\u5b58\u6d88\u8017\uff0c\u540c\u65f6\u8fbe\u5230\u751a\u81f3\u8d85\u8d8a AdamW \u7684\u6027\u80fd\uff1f<\/strong><\/section>\n<section><\/section>\n<section>\u4e3a\u5b9e\u73b0\u6781\u81f4\u5185\u5b58\u9ad8\u6548\uff0cAPOLLO \u63d0\u51fa\u4e86 APOLLO-Mini\u3002APOLLO-Mini \u901a\u8fc7\u4ec5\u4f7f\u7528 rank-1 \u7684\u8f85\u52a9\u5b50\u7a7a\u95f4\u8fdb\u884c\u5f20\u91cf\u7ea7\u68af\u5ea6\u7f29\u653e\uff0c\u800c\u975e APOLLO \u4e2d\u7684\u901a\u9053\u7ea7\u66f4\u65b0\u3002<\/section>\n<section><\/section>\n<section>\u5b9e\u9a8c\u7ed3\u679c\u663e\u793a\uff0cAPOLLO-Mini \u5728\u5b9e\u73b0 SGD \u5185\u5b58\u6d88\u8017\u7684\u540c\u65f6\uff0c\u5176\u9884\u8bad\u7ec3\u6027\u80fd\u751a\u81f3\u8d85\u8d8a\u4e86 AdamW\u3002\u8fd9\u4e00\u7ed3\u679c\u5145\u5206\u8bc1\u660e\u4e86\u7ed3\u6784\u5316\u5b66\u4e60\u7387\u66f4\u65b0\u7684\u6709\u6548\u6027\uff0c\u5e76\u4e3a\u8d44\u6e90\u6709\u9650\u7684\u7814\u7a76\u8005\u63d0\u4f9b\u4e86\u9ad8\u6548\u8bad\u7ec3\u5927\u6a21\u578b\u7684\u89e3\u51b3\u65b9\u6848\u3002<\/section>\n<section><\/section>\n<section>\u4e0b\u56fe\u4e3a\u5c06 APOLLO \u5e94\u7528\u4e8e Adam \u7684\u7b97\u6cd5\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-12f6e5caa6bef46059227357ece4e0a1.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-12f6e5caa6bef46059227357ece4e0a1.png\"><\/a><\/section>\n<section><strong>\u5b9e\u9a8c\u53ca\u7ed3\u679c<\/strong><\/section>\n<section><\/section>\n<section>\u7814\u7a76\u8005\u5bf9 APOLLO \u7684 LLM \u9884\u8bad\u7ec3\u3001\u5fae\u8c03\u4ee5\u53ca\u7cfb\u7edf\u7ea7\u6027\u80fd\u4f18\u52bf\u8fdb\u884c\u4e86\u5168\u9762\u8bc4\u4f30\u3002<\/section>\n<section><\/section>\n<section><strong>\u9884\u8bad\u7ec3<\/strong><\/section>\n<section><strong><br \/><\/strong><\/section>\n<section>\u7814\u7a76\u56e2\u961f\u5728 C4 \u6570\u636e\u96c6\uff08\u7ecf\u8fc7\u51c0\u5316\u5904\u7406\u7684 Common Crawl \u8bed\u6599\u5e93\uff09\u4e0a\u5bf9\u57fa\u4e8e LLaMA \u7684\u5927\u578b\u8bed\u8a00\u6a21\u578b\u8fdb\u884c\u4e86\u9884\u8bad\u7ec3\u5b9e\u9a8c\u3002<\/section>\n<section><\/section>\n<section>\u5b9e\u9a8c\u7ed3\u679c\u663e\u793a APOLLO \u7cfb\u5217\u65b9\u6cd5\uff08\u5373\u4f7f\u5728\u4f7f\u7528\u6781\u4f4e\u79e9\u7684\u60c5\u51b5\u4e0b\uff0c\u5982\u79e9\u5206\u522b\u4e3a 256 \u548c 1\uff09\u5747\u80fd\u663e\u8457\u964d\u4f4e\u5185\u5b58\u9700\u6c42\uff0c\u5e76\u4e14\u83b7\u5f97\u6bd4 Adam \u4ee5\u53ca\u5f53\u524d SOTA \u65b9\u6cd5\u66f4\u597d\u7684\u7ed3\u679c\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-c1a3ee10918e78cb59f1cfd9fe6666ea.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-c1a3ee10918e78cb59f1cfd9fe6666ea.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u8868 1: \u4f7f\u7528 C4 \u6570\u636e\u96c6\u9884\u8bad\u7ec3\u4e0d\u540c\u5927\u5c0f\u7684 LLaMA \u6a21\u578b\u9a8c\u8bc1\u96c6\u56f0\u60d1\u5ea6\uff08\u2193\uff09\u5bf9\u6bd4<\/sup><\/em><\/section>\n<section><em><br \/><\/em><\/section>\n<section>\u5728 LLaMA 7B \u6a21\u578b\u4e0a\uff0cAPOLLO \u7cfb\u5217\u4e0d\u4ec5\u5728\u5185\u5b58\u4f7f\u7528\u4e0a\u53d6\u5f97\u5de8\u5927\u7a81\u7834\uff0c\u5176\u8bad\u7ec3\u6027\u80fd\u4e5f\u8fdc\u8d85\u8fc7 Adam \u4ee5\u53ca\u4f7f\u7528\u9ad8\u79e9\uff08\u4f8b\u5982 1024\uff09\u7684 GaLore \u65b9\u6cd5\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3bd14dce193b85ce92a310d452a09169.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3bd14dce193b85ce92a310d452a09169.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u8868 2: \u4f7f\u7528 C4 \u6570\u636e\u96c6\u9884\u8bad\u7ec3 LLaMA-7B \u6a21\u578b\u9a8c\u8bc1\u96c6\u56f0\u60d1\u5ea6\uff08\u2193\uff09\u5bf9\u6bd4<\/sup><\/em><\/section>\n<section><em><br \/><\/em><\/section>\n<section><strong>\u5fae\u8c03<\/strong><\/section>\n<section><strong><br \/><\/strong><\/section>\n<section>\u5fae\u8c03\u4efb\u52a1\uff08\u5e38\u8bc6\u63a8\u7406\u548c MMLU\uff09\u4e2d\uff0cAPOLLO \u7684\u8868\u73b0\u540c\u6837\u62a2\u773c\uff0c\u8fbe\u5230\u4e86\u751a\u81f3\u8d85\u8d8a Adam \u57fa\u7ebf\u7684\u6548\u679c\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a3e49a2024287b3fa6a0aa541c9e4227.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a3e49a2024287b3fa6a0aa541c9e4227.png\"><\/a><\/section>\n<section><strong>\u7cfb\u7edf\u4f18\u52bf<\/strong><\/section>\n<section><\/section>\n<ul>\n<li>\n<section>\u52a0\u901f\u8bad\u7ec3<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>\u5728\u786c\u4ef6\u8d44\u6e90\u53d7\u9650\u7684\u60c5\u51b5\u4e0b\uff0cAPOLLO \u80fd\u591f\u652f\u6301\u6bd4 AdamW \u9ad8\u8fbe 4 \u500d\u7684\u6279\u91cf\u5927\u5c0f\uff0c\u4ece\u800c\u5b9e\u73b0\u6700\u9ad8\u53ef\u8fbe 3 \u500d\u7684\u8bad\u7ec3\u52a0\u901f\u3002<\/section>\n<section><\/section>\n<ul>\n<li>\n<section>\u6781\u4f4e\u5185\u5b58\u6d88\u8017<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>\u9996\u6b21\u5b9e\u73b0\u4e86\u5728 12GB \u5185\u5b58\u7684\u6d88\u8d39\u7ea7 GPU \u4e0a\u6210\u529f\u9884\u8bad\u7ec3 LLaMA 7B \u6a21\u578b\uff0c\u4e3a\u5927\u6a21\u578b\u8bad\u7ec3\u5728\u4f4e\u8d44\u6e90\u73af\u5883\u4e0b\u63d0\u4f9b\u4e86\u65b0\u7684\u53ef\u80fd\u6027\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-654a3181c434fd3043971c94cbf86042.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-654a3181c434fd3043971c94cbf86042.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u56fe 4\uff1aAPOLLO \u5185\u5b58\u548c\u8bad\u7ec3\u901f\u5ea6\u4f18\u52bf<\/sup><\/em><\/section>\n<section><em><br \/><\/em><\/section>\n<ul>\n<li>\n<section>\u6781\u4f4e\u7684\u8ba1\u7b97\u5f00\u9500<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>\u7531\u4e8e\u4e0d\u4f9d\u8d56\u6602\u8d35\u7684 SVD \u8ba1\u7b97\uff0cAPOLLO \u4f18\u5316\u65f6\u95f4\u5728 7B \u4e0a\u751a\u81f3\u6bd4 adam \u8fd8\u8981\u5feb\u3002<\/section>\n<section><\/section>\n<section>\u968f\u7740\u5927\u8bed\u8a00\u6a21\u578b\u89c4\u6a21\u4e0d\u65ad\u6500\u5347\uff0c\u5185\u5b58\u9700\u6c42\u4e5f\u5728\u5448\u7206\u70b8\u5f0f\u589e\u957f\u3002APOLLO \u4e0d\u4ec5\u5728\u7406\u8bba\u4e0a\u6253\u7834\u4e86\u4f18\u5316\u5668\u5185\u5b58\u74f6\u9888\uff0c\u66f4\u5728\u5b9e\u8df5\u4e2d\u5c55\u73b0\u51fa\u9884\u8bad\u7ec3\u4e0e\u5fae\u8c03\u7684\u5353\u8d8a\u6027\u80fd\u3002APOLLO \u4e3a\u8d44\u6e90\u53d7\u9650\u7684\u56e2\u961f\u63d0\u4f9b\u4e86\u4e00\u6761\u4f4e\u6210\u672c\u3001\u9ad8\u6548\u7387\u7684\u5927\u6a21\u578b\u8bad\u7ec3\u4e4b\u8def\uff0c\u9884\u793a\u7740\u672a\u6765\u5927\u6a21\u578b\u8bad\u7ec3\u5c06\u8fdb\u5165\u4e00\u4e2a\u5168\u65b0\u7684\u65f6\u4ee3\u3002<\/section>\n<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-27-4\" target=\"_blank\">MLSys\u201925 | \u6781\u4f4e\u5185\u5b58\u6d88\u8017\uff1a\u7528SGD\u7684\u5185\u5b58\u6210\u672c\u5b9e\u73b0AdamW\u7684\u4f18\u5316\u6027\u80fd<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:MLSys\u201925 |  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