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News/Muse: Representation Geometry of Muon Beyond Normalized Momentum
arxiv
PublishedJuly 18, 2026 at 4:00 AM
—neutral

Muse: Representation Geometry of Muon Beyond Normalized Momentum

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arXiv:2607.14536v1 Announce Type: new Abstract: Muon-style optimizers apply a polar map to matrix momentum, but their updates also depend on the representation of each parameter block before orthogonalization. We study this representation choice as a form of optimizer geometry and introduce {\method

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