First Order Methods for Optimization on Riemannian Manifolds

Orizon P Ferreira,Leandro F Prudente,Maurício S Louzeiro

doi:10.1007/978-3-030-31351-7_18

First Order Methods for Optimization on Riemannian Manifolds

Orizon P Ferreira, Leandro F Prudente + Show 1 more

https://doi.org/10.1007/978-3-030-31351-7_18

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Publication Date: Jan 1, 2020

Citations: 4

Affiliation: Chemnitz University of Technology

#Order Methods For Optimization #Riemannian Manifolds + Show 8 more

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Abstract

This chapter considers optimization problems on Riemannian manifolds and presents asymptotic and iteration-complexity analysis for gradient and subgradient methods on manifolds with sectional curvatures bounded from below. It also establishes asymptotic and iteration-complexity analysis for the proximal point method on Hadamard manifolds.

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