We survey our current knowledge of circuit complexity of regular languages and we prove that regular languages that are in AC0 and ACC0 are all computable by almost linear size ci...
The solution to a set of sparse linear equations Ax = b, where A is an n×n sparse matrix and b is an n-element vector, can be obtained using the W-matrix method. An enhanced vect...
Abstract. We study discriminative joint density models, that is, generative models for the joint density p(c, x) learned by maximizing a discriminative cost function, the condition...
An orthogonal Ore ring is an abstraction of common properties of linear partial differential, shift and q-shift operators. Using orthogonal Ore rings, we present an algorithm for...
The problem of computing the electrostatic energy of a large molecule is considered. It is reduced to solving the Poisson equation inside and the linear Poisson-Boltzmann equation ...