Pathological subgradient dynamics
Optimization and Control
2019-10-31 v1
Abstract
We construct examples of Lipschitz continuous functions, with pathological subgradient dynamics both in continuous and discrete time. In both settings, the iterates generate bounded trajectories, and yet fail to detect any (generalized) critical points of the function.
Cite
@article{arxiv.1910.13604,
title = {Pathological subgradient dynamics},
author = {Aris Daniilidis and Dmitriy Drusvyatskiy},
journal= {arXiv preprint arXiv:1910.13604},
year = {2019}
}
Comments
14 pages, 1 figure