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A priori estimates for classification problems using neural networks

Machine Learning 2020-09-29 v1 Machine Learning Numerical Analysis Numerical Analysis

Abstract

We consider binary and multi-class classification problems using hypothesis classes of neural networks. For a given hypothesis class, we use Rademacher complexity estimates and direct approximation theorems to obtain a priori error estimates for regularized loss functionals.

Keywords

Cite

@article{arxiv.2009.13500,
  title  = {A priori estimates for classification problems using neural networks},
  author = {Weinan E and Stephan Wojtowytsch},
  journal= {arXiv preprint arXiv:2009.13500},
  year   = {2020}
}
R2 v1 2026-06-23T18:51:20.240Z