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math.OC2024
Decentralized Online Riemannian Optimization with Dynamic Environments
Hengchao Chen, Qiang Sun
This paper develops the first decentralized online Riemannian optimization algorithm on Hadamard manifolds. Our algorithm, the decentralized projected Riemannian gradient descent,…
math.ST2024
Riemannian radial distributions on Riemannian symmetric spaces: Optimal rates of convergence for parameter estimation
Hengchao Chen
Manifold data analysis is challenging due to the lack of parametric distributions on manifolds. To address this, we introduce a series of Riemannian radial distributions on Riemann…
math.MG2024
Quotient geometry of bounded or fixed rank correlation matrices
Hengchao Chen
This paper studies the quotient geometry of bounded or fixed-rank correlation matrices. We establish a bijection between the set of bounded-rank correlation matrices and a quotient…