Optimization Over the Boolean Hypercube Via Sums of Nonnegative Circuit Polynomials
Sign Up to like & getrecommendations! Published in 2021 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-021-09496-x
Abstract: Various key problems from theoretical computer science can be expressed as polynomial optimization problems over the boolean hypercube. One particularly successful way to prove complexity bounds for these types of problems are based on sums… read more here.
Keywords: hypercube via; boolean hypercube; hypercube; nonnegative circuit ... See more keywords
Analysis of multivariate Gegenbauer approximation in the hypercube
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-020-09792-0
Abstract: In this paper, we are concerned with multivariate Gegenbauer approximation of functions defined in the d -dimensional hypercube. Two new and sharper bounds for the coefficients of multivariate Gegenbauer expansion of analytic functions are presented… read more here.
Keywords: gegenbauer approximation; multivariate gegenbauer; hypercube; approximation ... See more keywords
Transformation of boolean hypercube vertices into unit interval elements: QSPR workout consequences
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-018-00990-2
Abstract: The subindex I , orders the BooleanHypercube vertices with their equivalent natural number values, after transforming them into decimal format. The zero vector: 〈h0| ( 0 0 · · · 0 ) ≡ 〈0|, starts… read more here.
Keywords: hypercube; unit interval; vertices unit; boolean hypercube ... See more keywords
A structure theorem for stochastic processes indexed by the discrete hypercube
Sign Up to like & getrecommendations! Published in 2021 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2021.3
Abstract: Abstract Let A be a finite set with , let n be a positive integer, and let $A^n$ denote the discrete $n\text {-dimensional}$ hypercube (that is, $A^n$ is the Cartesian product of n many copies… read more here.
Keywords: stochastic processes; processes indexed; structure theorem; hypercube ... See more keywords
Hierarchical Latin Hypercube Sampling
Sign Up to like & getrecommendations! Published in 2017 at "Journal of the American Statistical Association"
DOI: 10.1080/01621459.2016.1158717
Abstract: ABSTRACT Latin hypercube sampling (LHS) is a robust, scalable Monte Carlo method that is used in many areas of science and engineering. We present a new algorithm for generating hierarchic Latin hypercube sets (HLHS) that… read more here.
Keywords: latin hypercube; hypercube; hierarchical latin; lhs ... See more keywords