Steepest geometric descent for regularized quasiconvex functions
Optimization and Control
2024-07-19 v2
Abstract
We establish existence of steepest descent curves emanating from almost every point of a regular locally Lipschitz quasiconvex functions, where regularity means that the sweeping process flow induced by the sublevel sets is reversible. We then use max-convolution to regularize general quasiconvex functions and obtain a result of the same nature in a more general setting.
Cite
@article{arxiv.2310.01364,
title = {Steepest geometric descent for regularized quasiconvex functions},
author = {Aris Daniilidis and David Salas},
journal= {arXiv preprint arXiv:2310.01364},
year = {2024}
}