4 papers
Shallow ReLU Networks in -Type and Sobolev Spaces: Approximation and Path-Norm Controlled Generalization
Weizhao Li, Fanghui Liu, Lei Shi
This paper studies approximation by shallow ReLU networks, , together with their generalization behavior under path-norm control. For the -…
How does feature learning reshape the function space?
João Lobo, Bruno Loureiro, Long Tran-Than +1
Feature learning is widely regarded as the key mechanism distinguishing neural networks from fixed-kernel methods, yet its impact on the induced function space remains poorly under…
Self-Regularized Learning Methods
Max Schölpple, Liu Fanghui, Ingo Steinwart
We introduce a general framework for analyzing learning algorithms based on the notion of self-regularization, which captures implicit complexity control without requiring explicit…
Benign overfitting in Fixed Dimension via Physics-Informed Learning with Smooth Inductive Bias
Honam Wong, Wendao Wu, Fanghui Liu +1
Recent advances in machine learning have inspired a surge of research into reconstructing specific quantities of interest from measurements that comply with certain physical laws.…