Self-contracted curves are gradient flows of convex functions
Analysis of PDEs
2018-02-22 v1
Abstract
In this paper we prove that any curve in , with , is the solution of the gradient flow equation for some convex function , if and only if it is strongly self-contracted.
Keywords
Cite
@article{arxiv.1802.07542,
title = {Self-contracted curves are gradient flows of convex functions},
author = {Antoine Lemenant and Estibalitz Durand Cartagena},
journal= {arXiv preprint arXiv:1802.07542},
year = {2018}
}