Yuesheng Xu

Representer Theorems in Banach Spaces: Minimum Norm Interpolation,\n Regularized Learning and Semi-Discrete Inverse Problems

2020 · arXiv (Cornell University)

Constructing or learning a function from a finite number of sampled data\npoints (measurements) is a fundamental problem in science and engineering. This\nis often formulated as a minimum norm interpolation problem, regularized\nlearning problem or, in general, …

Successive Affine Learning for Deep Neural Networks

2023 · arXiv (Cornell University)

This paper introduces a successive affine learning (SAL) model for constructing deep neural networks (DNNs). Traditionally, a DNN is built by solving a non-convex optimization problem. It is often challenging to solve such a problem …