Pruning Deep Neural Network Models via Minimax Concave Penalty Regression

Abstract

In this study, we propose a filter pruning method based on MCP (Minimax Concave Penalty) regression. The convolutional process is conceptualized as a linear regression procedure, and the regression coefficients serve as indicators to assess the redundancy of channels. In the realm of feature selection, the efficacy of sparse penalized regression gradually outperforms that of Lasso regression. Building upon this insight, MCP regression is introduced to screen convolutional channels, coupled with the coordinate descent method, to effectuate model compression. In single-layer pruning and global pruning analyses, the Top1 loss value associated with the MCP regression compression method is consistently smaller than that of the Lasso regression compression method across diverse models. Specifically, when the global pruning ratio is set to 0.3, the Top1 accuracy of the MCP regression compression method, in comparison with that of the Lasso regression compression method, exhibits improvements of 0.21% and 1.67% under the VGG19_Simple and VGG19 models, respectively. Similarly, for ResNet34, at two distinct pruning ratios, the Top1 accuracy demonstrates enhancements of 0.33% and 0.26%. Lastly, we compare and discuss the novel methods introduced in this study, considering both time and space resource consumption.

Keywords

• model compression
• minimum and maximum concave penalties
• Lasso regression
• MCP regression