Arithmetic Tensor Networks and Integration - IPAM at UCLA
Institute for Pure & Applied Mathematics (IPAM) via YouTube
Overview
Syllabus
Intro
Tensor networks and quantum circuits
Tensor network contraction encodes many problems
Exact tensor network contraction
Approximate tensor network contraction
Approximate contraction often works well
Multivariable function integration
From quadrature to tensor networks
Arithmetic circuit representations
Arithmetic tensor network circuits
Examples
Polynomial integration
Exact contraction
Approximate contraction and integration
Simple case
Discovering identities
General case
Away from exact compressibility
dependence on number of variables N
Dependence on integrand
Integrand dependence cont'd
Gaussian integration in a hypercube
Summary
Taught by
Institute for Pure & Applied Mathematics (IPAM)