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This brief describes the basics of Riemannian optimization—optimization on Riemannian manifolds—introduces algorithms for Riemannian optimization problems,
Convex Functions and Optimization Methods on Riemannian Manifolds
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The object of this book is to present the basic facts of convex functions, standard dynamical systems, descent numerical algorithms and some computer programs o
Algorithmic Advances in Riemannian Geometry and Applications
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This book presents a selection of the most recent algorithmic advances in Riemannian geometry in the context of machine learning, statistics, optimization, comp
Nonsmooth Optimization and Its Applications
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Since nonsmooth optimization problems arise in a diverse range of real-world applications, the potential impact of efficient methods for solving such problems i
Optimization Algorithms on Matrix Manifolds
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Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. Thi