Convex optimization in Hilbert space with applications to inverse problems

Alexander Gasnikov; Sergey Kabanikhin; Ahmed Mohammed; Maxim Shishlenin

Convex optimization in Hilbert space with applications to inverse problems

Optimization and Control 2019-10-16 v8

Authors: Alexander Gasnikov , Sergey Kabanikhin , Ahmed Mohammed , Maxim Shishlenin

Abstract

In this paper we propose accelerated gradient descent schemes for convex optimization problems in Hilbert space. We consider inexact oracle case.

Keywords

convex optimization optimization and approximation theory optimization

Cite

@article{arxiv.1703.00267,
  title  = {Convex optimization in Hilbert space with applications to inverse problems},
  author = {Alexander Gasnikov and Sergey Kabanikhin and Ahmed Mohammed and Maxim Shishlenin},
  journal= {arXiv preprint arXiv:1703.00267},
  year   = {2019}
}