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News/AF-Muon: An AdamW-Free Muon Optimizer for Tied-Embedding Models
arxiv
PublishedOctober 3, 2026 at 4:00 AM
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AF-Muon: An AdamW-Free Muon Optimizer for Tied-Embedding Models

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arXiv:2610.01395v1 Announce Type: new Abstract: Muon improves large-scale training by applying a spectral-norm steepest-descent update to matrix parameters, but practical models also contain parameter blocks that do not fit dense-matrix geometry. One important case is the tied vocabulary table, whic

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