An upper bound on the variance of scalar multilayer perceptrons for log-concave distributions.

In this paper, we give an upper bound on the variance of scalar multilayer perceptrons. The distribution of the input is assumed to be the class of log-concave distributions, which includes the well-known Gaussian distribution. The activation functions of the scalar multilayer perceptrons are assumed to be differentiable and Lipschitz continuous. [ABSTRACT FROM AUTHOR]