A note on concentration of submodular functions

  title={A note on concentration of submodular functions},
  author={Jan Vondr{\'a}k},
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. 
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