Tensor Networks for High-Dimensional Integration and Optimization

Watch a 49-minute conference talk from the 2nd Plenary Meeting of the International Quantum Tensor Network where Dimitry Savostyanov explores epidemics on networks through various mathematical approaches. Delve into complex topics including probability states, time-dependent searching, matrix product states, and tensor train methodology. Learn about variational optimization, TT Rank, mode size considerations, and Monte Carlo techniques. Explore high-dimensional integration concepts, including quasi Monte Carlo methods, lower end matrix calculations, maximum volume determination, and cross interpolation. Understand how these mathematical tools can be applied to simplify integral solutions and model epidemic spread across networks.