Decentralized online Riemannian optimization is shown to achieve O(sqrt T) regret on manifolds with bounded positive curvature under gradient and bandit feedback.
Tracking and regret bounds for online zeroth-order euclidean and riemannian optimization,
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Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds
Decentralized online Riemannian optimization is shown to achieve O(sqrt T) regret on manifolds with bounded positive curvature under gradient and bandit feedback.