Optimization induced equilibrium networks: An explicit optimization perspective for understanding equilibrium models
In this paper, we decompose the feed-forward DNN and find a more reasonable basic unit layer, which shows a close relationship with the proximal operator. Based on it, we propose new equilibrium models, OptEqs, and explore their underlying optimization problems thoroughly. We provide two strategies to introduce customized regularizations to the equilibrium points, and achieve significant performance improvement in experiments. We highlight that by modifying the underlying optimization problems, we can create more effective network architectures. Our work may inspire more interpretable equilibrium models from the optimization perspective.
Jun 10, 2022