Researchers find edge of stability for Muon and all non-adaptive optimizers, cut nanoGPT record by 3.2%

andersonbcdefg · x · 2026-11-06

Researchers report discovering the edge of stability for Muon — and for every other non-adaptive optimizer — naming the phenomenon "bubbleforce". Building on this insight they shaved 100 iterations off the nanoGPT Muon record, a -3.2% improvement, suggesting a better theoretical understanding of optimizer stability translates directly into faster training.

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