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Hierarchical Muon: Tiled Newton-Schulz Updates for Efficient Muon Optimization
Hierarchical Muon applies tiled Newton-Schulz updates to momentum matrices, reducing work to O(HWTK) while preserving local spectral interactions and maintaining training behavior near full-matrix Muon.
Published Jun 25, 2026 · 0 citations
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AI panel: 8 of 20 reviewers recommend it
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