Distinguished Lecture: Jerome Bellegarda (Apple, USA)
Lecture Date: April 13, 2022 (Virtual Lecture)
Chapter: North New Jersey
Chapter Chair: Alfredo Tan
Topic: TBA
Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization
We develop a novel 2D functional learning framework that employs a sparsity-promoting regularization based on second-order derivatives. Motivated by the nature of the regularizer, we restrict the search space to the span of piecewise-linear box splines shifted on a 2D lattice. Our formulation of the infinite-dimensional problem on this search space allows us to recast it exactly as a finite-dimensional one that can be solved using standard methods in convex optimization.
