A note on concentration of submodular functions
Discrete Mathematics
2010-07-16 v1 Data Structures and Algorithms
Abstract
We survey a few concentration inequalities for submodular and fractionally subadditive functions of independent random variables, implied by the entropy method for self-bounding functions. The power of these concentration bounds is that they are dimension-free, in particular implying standard deviation O(\sqrt{\E[f]}) rather than O(\sqrt{n}) which can be obtained for any 1-Lipschitz function of n variables.
Keywords
Cite
@article{arxiv.1005.2791,
title = {A note on concentration of submodular functions},
author = {Jan Vondrak},
journal= {arXiv preprint arXiv:1005.2791},
year = {2010}
}