AINeutralarXiv – CS AI · 10h ago6/10
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Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds
Researchers introduce intrinsic Muon (iMuon), a unified optimization framework that extends the Muon optimizer to Riemannian manifolds while preserving symmetries and enabling closed-form solutions. The approach demonstrates applications in LLM fine-tuning, image classification, and subspace learning with convergence guarantees dependent only on manifold dimension rather than factor conditioning.