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News/Training-Loss Guarantees for Muon with Finite-Step Newton--Schulz Orthogonalization
arxiv
PublishedOctober 5, 2026 at 4:00 AM

Training-Loss Guarantees for Muon with Finite-Step Newton--Schulz Orthogonalization

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arXiv:2610.03306v1 Announce Type: cross Abstract: Existing convergence analyses of Muon either assume exact orthogonalization or analyze classical Newton--Schulz polynomials, and guarantee only stationarity, so it is unresolved what Muon's five tuned Newton--Schulz steps preserve and whether that su

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