Relating the Slope of the Activation Function and the Learning Rate Within a Recurrent Neural Network

摘要

A relationship between the learning rate η in the learning algorithm, and the slope β in the nonlinear activation function, for a class of recurrent neural networks (RNNs) trained by the real-time recurrent learning algo- righm is provided. It is shown that an arbitrary RNN can be obtained vai the referent RNN, with some deterministic rules imposed on its weights and the learning rate. Such relationships reduce the number of degrees of freedom when solving the nonlinear optimization task of finding the optimal RNN parameters.