Muon dynamics are equivalent to gradient flows of spectral Wasserstein distances on parameter-space measures, with the operator norm recovering the Muon geometry.
Covariance-modulated optimal transport and gradient flows.Archive for Rational Mechanics and Analysis, 249(1):7
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Muon Dynamics as a Spectral Wasserstein Flow
Muon dynamics are equivalent to gradient flows of spectral Wasserstein distances on parameter-space measures, with the operator norm recovering the Muon geometry.