Decentralized Douglas-Rachford splitting methods for smooth optimization over compact submanifolds

K Deng, J Hu, H Wang - arXiv preprint arXiv:2311.16399, 2023 - arxiv.org
We study decentralized smooth optimization problems over compact submanifolds.
Recasting it as a composite optimization problem, we propose a decentralized Douglas …

Decentralized Online Riemannian Optimization with Dynamic Environments

H Chen, Q Sun - arXiv preprint arXiv:2410.05128, 2024 - arxiv.org
This paper develops the first decentralized online Riemannian optimization algorithm on
Hadamard manifolds. Our algorithm, the decentralized projected Riemannian gradient …