The slope robustly determines convex functions
Optimization and Control
2023-03-30 v1
Abstract
We show that the deviation between the slopes of two convex functions controls the deviation between the functions themselves. This result reveals that the slope -- a one dimensional construct -- robustly determines convex functions, up to a constant of integration.
Keywords
Cite
@article{arxiv.2303.16277,
title = {The slope robustly determines convex functions},
author = {Aris Daniilidis and Dmitriy Drusvyatskiy},
journal= {arXiv preprint arXiv:2303.16277},
year = {2023}
}