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cs.LG2026
Curvature-Independent Regret Bounds for Distributed Online Optimization on Hadamard Manifolds
Zhanyuan Cai, Emre Sahinoglu, Shahin Shahrampour
This work addresses decentralized online Riemannian optimization on Hadamard manifolds. Prior work under geodesic convexity (g-convexity) may require curvature information in the o…
math.OC2026
Decentralized Online Riemannian Optimization for Strongly Geodesically Convex Functions
Zhanyuan Cai, Emre Sahinoglu, Shahin Shahrampour
We study decentralized online optimization for strongly geodesically convex (strongly g-convex) losses on Riemannian manifolds with bounded sectional curvature, including positivel…