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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…
cs.LG2025
Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives
Emre Sahinoglu, Shahin Shahrampour
We study online Riemannian optimization on Hadamard manifolds under the framework of horospherical convexity (h-convexity). Prior work mostly relies on the geodesic convexity (g-co…