A note on concentration of submodular functions

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( p E[f]) rather than O( n) which can be obtained for any 1Lipschitz function of n variables.

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Jan Vondrák
• Keywords: Concentration Inequalities, CORR 2010, Education, Entropy Method, Independent Random Variables