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R-SPIDER: A Fast Riemannian Stochastic Optimization Algorithm with Curvature Independent Rate
Jingzhao Zhang, Hongyi Zhang, Suvrit Sra
We study smooth stochastic optimization problems on Riemannian manifolds. Via adapting the recently proposed SPIDER algorithm \citep{fang2018spider} (a variance reduced stochastic…
Towards Riemannian Accelerated Gradient Methods
Hongyi Zhang, Suvrit Sra
We propose a Riemannian version of Nesterov's Accelerated Gradient algorithm (RAGD), and show that for geodesically smooth and strongly convex problems, within a neighborhood of th…
Riemannian SVRG: Fast Stochastic Optimization on Riemannian Manifolds
Hongyi Zhang, Sashank J. Reddi, Suvrit Sra
We study optimization of finite sums of geodesically smooth functions on Riemannian manifolds. Although variance reduction techniques for optimizing finite-sums have witnessed trem…
First-order Methods for Geodesically Convex Optimization
Hongyi Zhang, Suvrit Sra
Geodesic convexity generalizes the notion of (vector space) convexity to nonlinear metric spaces. But unlike convex optimization, geodesically convex (g-convex) optimization is muc…