Ridge Functions, Their Sums, and Sparse Additive Functions – Jan Vybiral, Czech Technical University

Explore the mathematical foundations of high-dimensional function approximation in this lecture by Jan Vybiral from Czech Technical University. Delve into ridge functions, their sums, and sparse additive functions as part of a workshop on overcoming the curse of dimensionality in complex scientific and engineering problems. Learn about modern approaches that make structural assumptions to bypass limitations in reconstructing unknown processes from limited data. Gain insights into multivariate approximation theory, high-dimensional integration, and non-parametric regression as applied to reconstructing complex processes with numerous parameters.