Pseudo-Boolean Functions , Lovász Extensions , and Beta Distributions ⋆ Guoli

  title={Pseudo-Boolean Functions , Lov{\'a}sz Extensions , and Beta Distributions ⋆ Guoli},
  author={Ding R. F. Lax},
  • Ding R. F. Lax
  • Published 2009
Let f : {0, 1}n → R be a pseudo-Boolean function and let f̂ : [0, 1] → R denote the Lovász extension of f . We show that the best linear approximation to f with respect to a binomial probability distribution on {0, 1}n is the limit of the best linear approximations to f̂ with respect to probability distributions on [0, 1] defined by certain independent beta… CONTINUE READING