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The sample complexity bounds for Muon match the best-known guarantees for nonsmooth nonconvex optimization and are optimal for smooth nonconvex optimization up to problem-dependent factors

The resulting sample complexity bounds match the best-known guarantees for nonsmooth nonconvex optimization and are optimal for smooth nonconvex optimization up to problem-dependent factors.
Machine Learning (Statistics)29 Aug 2026

http://arxiv.org/abs/2608.26288v1