English

Maximal Information Divergence from Statistical Models defined by Neural Networks

Statistics Theory 2014-06-18 v1 Machine Learning Statistics Theory

Abstract

We review recent results about the maximal values of the Kullback-Leibler information divergence from statistical models defined by neural networks, including naive Bayes models, restricted Boltzmann machines, deep belief networks, and various classes of exponential families. We illustrate approaches to compute the maximal divergence from a given model starting from simple sub- or super-models. We give a new result for deep and narrow belief networks with finite-valued units.

Cite

@article{arxiv.1303.0268,
  title  = {Maximal Information Divergence from Statistical Models defined by Neural Networks},
  author = {Guido Montufar and Johannes Rauh and Nihat Ay},
  journal= {arXiv preprint arXiv:1303.0268},
  year   = {2014}
}

Comments

8 pages, 1 figure

R2 v1 2026-06-21T23:35:13.250Z