Papers › On the training dynamics of deep networks with L₂ regularization

On the training dynamics of deep networks with L₂ regularization

15 Jun 2020NeurIPS 2020 12arXiv:2006.08643archive 2025-07-28

Aitor Lewkowycz, Guy Gur-Ari

We study the role of L₂ regularization in deep learning, and uncover simple relations between the performance of the model, the L₂ coefficient, the learning rate, and the number of training steps. These empirical relations hold when the network is overparameterized. They can be used to predict the optimal regularization parameter of a given model. In addition, based on these observations we propose a dynamical schedule for the regularization parameter that improves performance and speeds up training. We test these proposals in modern image classification settings. Finally, we show that these empirical relations can be understood theoretically in the context of infinitely wide networks. We derive the gradient flow dynamics of such networks, and compare the role of L₂ regularization in this context with that of linear models.

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