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MiS Preprint

Maximal Information Divergence from Statistical Models defined by Neural Networks

Guido Montúfar, Johannes Rauh and Nihat Ay


We review recent results about the maximal values of the Kullback-Leibler information divergence from statistical models defined by neural networks, including naïve 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.

MSC Codes:
94A17, 62B10
neural network, exponential family, kullback-leibler divergence, multi-information

Related publications

2013 Repository Open Access
Guido Montúfar, Johannes Rauh and Nihat Ay

Maximal information divergence from statistical models defined by neural networks

In: Geometric science of information : first international conference, GSI 2013, Paris, France, August 28-30, 2013. Proceedings / Frank Nielsen... (eds.)
Berlin [u. a.] : Springer, 2013. - pp. 759-766
(Lecture notes in computer science ; 8085)