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About this paper

Zachary A. Hampton, Wasiq Khan, Bilal Khan

The authors test how training-recipe components affect grokking in shallow transformers for modular arithmetic. A one-layer factorial varies projection, readout normalization, logit scale, and weight decay; validation compares Sphere+Fourier with a baseline across five partitions. Sphere+Fourier crossed 95% accuracy in 25/25 runs versus 8/25, but the results neither identify projection alone as the cause nor establish transfer beyond these settings.

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