On Partial Smoothness, Tilt Stability and the $\mathcal{VU}$--Decomposition
Optimization and Control
2017-04-07 v2
Abstract
Under the assumption of prox-regularity and the presence of a tilt stable local minimum we are able to show that a like decomposition gives rise to the existence of a smooth manifold on which the function in question coincides locally with a smooth function.
Cite
@article{arxiv.1602.07768,
title = {On Partial Smoothness, Tilt Stability and the $\mathcal{VU}$--Decomposition},
author = {Andrew Eberhard and Yousong Luo and Shuai Liu},
journal= {arXiv preprint arXiv:1602.07768},
year = {2017}
}
Comments
28 pages