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math.OCOct 1, 2019
12
citations (OpenAlex)
authors
  • Tuomo Valkonen
institutions
  • National Polytechnic School
  • University of Helsinki
arXiv abstractPDF
paper

First-order primal-dual methods for nonsmooth nonconvex optimisation

arXiv:1910.00115 · doi:10.1007/978-3-030-03009-4_93-1

Abstract

We provide an overview of primal-dual algorithms for nonsmooth and non-convex-concave saddle-point problems. This flows around a new analysis of such methods, using Bregman divergences to formulate simplified conditions for convergence.

References in corpus (6)

  • Relaxed Gauss-Newton methods with applications to electrical impedance tomography
  • A Generalization of the Chambolle-Pock Algorithm to Banach Spaces with Applications to Inverse Problems
  • Primal-dual block-proximal splitting for a class of non-convex problems
  • Introduction to Nonsmooth Analysis and Optimization
  • First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints
  • Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds

Cited by in corpus (3)

  • Linearly convergent bilevel optimization with single-step inner methods
  • Proximal methods for point source localisation
  • Prediction techniques for dynamic imaging with online primal-dual methods
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