Golumbic et al. [Discrete Applied Mathematics 154(2006) 1465-1477] defined the readability of a monotone Boolean function f to be the minimum integer k such that there exists an ...
The Chow parameters of a Boolean function f : {−1, 1}n → {−1, 1} are its n + 1 degree-0 and degree-1 Fourier coefficients. It has been known since 1961 [Cho61, Tan61] that ...
Anindya De, Ilias Diakonikolas, Vitaly Feldman, Ro...
In this paper, we propose a novel approximation algorithm (RelaxSAT) for MIN-ONE SAT. RelaxSAT generates a set of constraints from the objective function to guide the search. The ...
We present a new method for reconstructing the density function underlying a given histogram. First we analyze the univariate case taking the approximating function in a class of q...
We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − θ) over the n-dimensional Boolean hypercube can be approximated by simple threshold f...