BF16 loses resolution as mean logit grows, breaking softmax probabilities

micahgoldblum · x · 2026-11-03

Part 7 of Goldblum's thread: the answer is finite precision. In BF16, the gap between representable values grows with magnitude, so as the mean logit grows, resolution of logit differences is lost — and those differences determine softmax probabilities, explaining why mean-logit drift breaks training.

Related event: AdamW-Induced Logit Drift Fails under BF16 Finite Precision(2 posts)→

Original post →

More from Infra

Infra channel →