SMAVE recasts MAVE for SDR as Riemannian optimization on the Stiefel manifold, yielding a stochastic algorithm with almost-sure convergence and improved runtime over OPG and RMAVE.
Riemannian optimization for LoRA on the Stiefel manifold
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Intrinsic Muon provides closed-form linear maximization oracles on multiple Riemannian matrix manifolds for unitarily invariant norms, with convergence rates depending only on manifold dimension or rank.
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Riemannian Stochastic Optimization for Sufficient Dimension Reduction
SMAVE recasts MAVE for SDR as Riemannian optimization on the Stiefel manifold, yielding a stochastic algorithm with almost-sure convergence and improved runtime over OPG and RMAVE.
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Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds
Intrinsic Muon provides closed-form linear maximization oracles on multiple Riemannian matrix manifolds for unitarily invariant norms, with convergence rates depending only on manifold dimension or rank.