akyurek-2022-phase-shift-gd-to-bayes
IN premise — summaries/2026/08/24/shen-2023-icl-not-gd-s6-related-work.md
Created 2026-08-25T02:58:33+00:00
Akyürek et al. (2022) showed that small Transformers implement gradient descent while larger models shift toward Bayes-optimal behavior (e.g., OLS for linear regression).
Summary
This suggests that the way Transformers learn changes qualitatively with scale: small models behave like a crude gradient-descent learner, iteratively nudging weights to reduce error, while larger models appear to approximate the mathematically optimal answer more directly. The practical implication is that "learning" in a large Transformer may not be the same process as in a small one, just bigger, so intuitions drawn from small-model training don't straightforwardly transfer to the frontier-scale systems we actually deploy.