Information in Infinite Ensembles of Infinitely-Wide Neural Networks

Abstract

In this preliminary work, we study the generalization properties of infinite ensembles of infinitely-wide neural networks. Amazingly, this model family admits tractable calculations for many information-theoretic quantities. We report analytical and empirical investigations in the search for signals that correlate with generalization.Comment: 2nd Symposium on Advances in Approximate Bayesian Inference, 201