Orthogonal polynomials for the multivariate hypergeometric distribution are defined on lattices in polyhedral domains in $\RR^d$.
Classical Analysis and ODEs 33C50, 33C70, 42C05
We present explicit constructions of orthogonal polynomials inside quadratic bodies of revolution, including cones, hyperboloids, and paraboloids.
Classical Analysis and ODEs Numerical Analysis Numerical Analysis 42C05, 42C10, 65D15, 65D32
Generative adversarial learning is one of the most exciting recent breakthroughs in machine learning---a subfield of artificial intelligence that is currently driving a revolution in many aspects of modern society.
Quantum Physics Disordered Systems and Neural Networks Superconductivity
Large repositories of scientific literature call for the development of robust methods to extract information from scholarly papers.