Guest Editorial Special Issue on Information Theoretic Learning.

This article introduces the present issue of the journal "IEEE Transactions on Neural Networks." Nonlinear signal processing using neural networks inherited the dominant mean-squared error criteria from linear adaptive filtering theory due to a number of appealing properties exhibited by second-order statistical optimality criteria under the linear model. Information theory has a long history in the design of optimal communication systems and coding. Numerous useful theoretical results relating information theoretic learning (ITL). The aim of this special issue is to present the current state of the art in the application of information theoretic concepts and approaches to learning, adaptation, and neural network theories by active experts working in the broadly defined area of ITL.