  Recent work has suggested that the generalisation performance of a DNN is
related to the extent to which the Signal-to-Noise Ratio is optimised at each
of the nodes. In contrast, Gradient Descent methods do not always lead to
SNR-optimal weight configurations. One way to improve SNR performance is to
suppress large weight updates and amplify small weight updates. Such balancing
is already implicit in some common optimizers, but we propose an approach that
makes this explicit. The method applies a non-linear function to gradients
prior to making DNN parameter updates. We investigate the performance with such
non-linear approaches. The result is an adaptation to existing optimizers that
improves performance for many problem types.
