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First-order Methods for Geodesically Convex Optimization [PDF]

open access: yesarXiv, 2016
Geodesic convexity generalizes the notion of (vector space) convexity to nonlinear metric spaces. But unlike convex optimization, geodesically convex (g-convex) optimization is much less developed. In this paper we contribute to the understanding of g-convex optimization by developing iteration complexity analysis for several first-order algorithms on ...
arxiv  

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