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m-ricย 
posted an update 22 days ago
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๐Ÿ’ฐโŒ ๐‘๐ž๐ฌ๐ž๐š๐ซ๐œ๐ก ๐Ÿ๐จ๐ซ ๐ญ๐ก๐ž ๐ฏ๐ž๐ซ๐ฒ ๐†๐๐” ๐๐จ๐จ๐ซ - ๐’๐œ๐š๐ฅ๐ข๐ง๐  ๐ฅ๐š๐ฐ๐ฌ ๐ซ๐ž๐ฉ๐ฅ๐ข๐œ๐š๐ญ๐ข๐จ๐ง

๐ŸŽ† Good news: ๐˜†๐—ผ๐˜‚ ๐—ฐ๐—ฎ๐—ป ๐—ฑ๐—ผ ๐—ฐ๐˜‚๐˜๐˜๐—ถ๐—ป๐—ด-๐—ฒ๐—ฑ๐—ด๐—ฒ ๐—ฟ๐—ฒ๐˜€๐—ฒ๐—ฎ๐—ฟ๐—ฐ๐—ต ๐˜„๐—ถ๐˜๐—ต ๐—ฎ ๐—ฐ๐—ฎ๐—น๐—ฐ๐˜‚๐—น๐—ฎ๐˜๐—ผ๐—ฟ ๐—ฎ๐—ป๐—ฑ ๐— ๐—ถ๐—ฐ๐—ฟ๐—ผ๐˜€๐—ผ๐—ณ๐˜ ๐—ฃ๐—ฎ๐—ถ๐—ป๐˜ ๐Ÿฎ๐Ÿฌ๐Ÿฌ๐Ÿฒ!

The Chinchilla experiments (by Google DeepMind) ran hundreds of pre-trainings with models >1B parameters (I do not want to imagine how much that cost) to ๐—ณ๐—ถ๐—ป๐—ฑ ๐˜๐—ต๐—ฒ ๐—ผ๐—ฝ๐˜๐—ถ๐—บ๐—ฎ๐—น ๐—ฟ๐—ฎ๐˜๐—ถ๐—ผ ๐—ผ๐—ณ ๐—บ๐—ผ๐—ฑ๐—ฒ๐—น ๐˜€๐—ถ๐˜‡๐—ฒ ๐˜ƒ๐˜€ ๐˜๐—ฟ๐—ฎ๐—ถ๐—ป๐—ถ๐—ป๐—ด ๐˜๐—ผ๐—ธ๐—ฒ๐—ป๐˜€. Why is this question so important?
Well, you only ever have access to a fixed compute, counted in FLOPs (floating point operations). So if your model is bigger, you will have less compute to train on many tokens, and if you want to train on more tokens, your model will be smaller. When model trainings cost million, you absolutely need to get this right.

The new paper "Chinchilla Scaling: A replication attempt" by Epoch AI sets on on the ambitious goal of reproducing this.

But since the authors do not have infinite money, they decided to directly run their computations from DeepMind's own experiments! They took the figure from the last experiment (cf slide below), measured point positions, picked color codes, and ended up reconstructing the underlying data.

๐Ÿ’ฅ They then just fit the scaling laws proposed by the Chinchilla Authors, but arrived at wildly different results! They find that as a rough rule of thumb, you should use 20 training tokens for each parameter in your model, instead of the 70 obtained in the original paper. They also point out inconsistencies in the paper, and unrealistically narrow confidence intervals.

โžก๏ธ This only contradicts the results from the last (out of 3) experiments in the Chinchilla paper. And the model trained at the end of the Chinchilla paper still seems properly scaled.

โœ… But it does show that a tiny bit more theoretical work can go a long way, especially given the huge financial costs that such an error can have!
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