Quadratic Models for Understanding Catapult Dynamics of Neural Networks
Abstract
While neural networks can be approximated by linear models as their width increases, certain properties of wide neural networks cannot be captured by linear models. In this work we show that recently proposed Neural Quadratic Models can exhibit the "catapult phase" Lewkowycz et al. (2020) that arises when training such models with large learning rates. We then empirically show that the behaviour of quadratic models parallels that of neural networks in generalization, especially in the catapult phase regime. Our analysis further demonstrates that quadratic models are an effective tool for analysis of neural networks.
Cite
Text
Zhu et al. "Quadratic Models for Understanding Catapult Dynamics of Neural Networks." International Conference on Learning Representations, 2024.Markdown
[Zhu et al. "Quadratic Models for Understanding Catapult Dynamics of Neural Networks." International Conference on Learning Representations, 2024.](https://mlanthology.org/iclr/2024/zhu2024iclr-quadratic/)BibTeX
@inproceedings{zhu2024iclr-quadratic,
title = {{Quadratic Models for Understanding Catapult Dynamics of Neural Networks}},
author = {Zhu, Libin and Liu, Chaoyue and Radhakrishnan, Adityanarayanan and Belkin, Mikhail},
booktitle = {International Conference on Learning Representations},
year = {2024},
url = {https://mlanthology.org/iclr/2024/zhu2024iclr-quadratic/}
}