Nonsmoothness in Machine Learning: specific structure, proximal identification, and applications
Optimization and Control
2020-11-11 v2 Signal Processing
Machine Learning
Abstract
Nonsmoothness is often a curse for optimization; but it is sometimes a blessing, in particular for applications in machine learning. In this paper, we present the specific structure of nonsmooth optimization problems appearing in machine learning and illustrate how to leverage this structure in practice, for compression, acceleration, or dimension reduction. We pay a special attention to the presentation to make it concise and easily accessible, with both simple examples and general results.
Cite
@article{arxiv.2010.00848,
title = {Nonsmoothness in Machine Learning: specific structure, proximal identification, and applications},
author = {Franck Iutzeler and Jérôme Malick},
journal= {arXiv preprint arXiv:2010.00848},
year = {2020}
}