Author

Che Tong

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Preprint Aug 2026

Second-Order Muon Done Right: A Principled Marriage of Spectral Geometry and Curvature

Muon's polar update is exact for an unweighted spectral geometry. We introduce GO-MUON, which uses a matched data-dependent geometry and reuses it across several optimization steps. Conditioned on any positive-definite left and right maps, its raw update exactly solves the corresponding weighted spectral oracle; this s...

Che Tong · 1 citation