Understanding the Generalization Benefits of Late Learning Rate Decay
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Abstract (arXiv)
Why do neural networks trained with large learning rates for a longer time often lead to better generalization? In this paper, we delve into this question by examining the relation between training and testing loss in neural networks. Through visualization of these losses, we note that the training trajectory with a large learning rate navigates through the minima manifold of the training loss, finally nearing the neighborhood of the testing loss minimum. Motivated by these findings, we introduce a nonlinear model whose loss landscapes mirror those observed for real neural networks. Upon investigating the training process using SGD on our model, we demonstrate that an extended phase with a large learning rate steers our model towards the minimum norm solution of the training loss, which may achieve near-optimal generalization, thereby affirming the empirically observed benefits of late learning rate decay.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 56 of its 79 references that are in the map. First posted on arXiv 21 Jan 2024.
Builds on
56 of 79 references.
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Citing papers per year: 2024: 3; 2025: 2; 2026: 1.
6 papers.
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