The Effect of Neural Net Architecture on Gradient Confusion & Training Performance

Karthik A. Sankararaman, Soham De, Zheng Xu, W. Ronny Huang, Tom Goldstein

Keywords: neural network architecture, speed of training, layer width, network depth

TL;DR: We formally show that increased layer width helps training, while increased network depth makes training harder.

Abstract: The goal of this paper is to study why typical neural networks train so fast, and how neural network architecture affects the speed of training. We introduce a simple concept called gradient confusion to help formally analyze this. When confusion is high, stochastic gradients produced by different data samples may be negatively correlated, slowing down convergence. But when gradient confusion is low, data samples interact harmoniously, and training proceeds quickly. Through novel theoretical and experimental results, we show how the neural net architecture affects gradient confusion, and thus the efficiency of training. We show that increasing the width of neural networks leads to lower gradient confusion, and thus easier model training. On the other hand, increasing the depth of neural networks has the opposite effect. Finally, we observe empirically that techniques like batch normalization and skip connections reduce gradient confusion, which helps reduce the training burden of very deep networks.