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Zhanyuan Cai

1 paper indexed

arxivmath.OCcs.LGcs.MA2026-07-22

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 positively curved manifolds. In centralized Riemannian optimization, strong g-convexity tightens the optimal…

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