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Main Authors: George, Thomas, Lajoie, Guillaume, Baratin, Aristide
Format: Preprint
Published: 2022
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Online Access:https://arxiv.org/abs/2209.09658
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author George, Thomas
Lajoie, Guillaume
Baratin, Aristide
author_facet George, Thomas
Lajoie, Guillaume
Baratin, Aristide
contents Among attempts at giving a theoretical account of the success of deep neural networks, a recent line of work has identified a so-called lazy training regime in which the network can be well approximated by its linearization around initialization. Here we investigate the comparative effect of the lazy (linear) and feature learning (non-linear) regimes on subgroups of examples based on their difficulty. Specifically, we show that easier examples are given more weight in feature learning mode, resulting in faster training compared to more difficult ones. In other words, the non-linear dynamics tends to sequentialize the learning of examples of increasing difficulty. We illustrate this phenomenon across different ways to quantify example difficulty, including c-score, label noise, and in the presence of easy-to-learn spurious correlations. Our results reveal a new understanding of how deep networks prioritize resources across example difficulty.
format Preprint
id arxiv_https___arxiv_org_abs_2209_09658
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Lazy vs hasty: linearization in deep networks impacts learning schedule based on example difficulty
George, Thomas
Lajoie, Guillaume
Baratin, Aristide
Machine Learning
Among attempts at giving a theoretical account of the success of deep neural networks, a recent line of work has identified a so-called lazy training regime in which the network can be well approximated by its linearization around initialization. Here we investigate the comparative effect of the lazy (linear) and feature learning (non-linear) regimes on subgroups of examples based on their difficulty. Specifically, we show that easier examples are given more weight in feature learning mode, resulting in faster training compared to more difficult ones. In other words, the non-linear dynamics tends to sequentialize the learning of examples of increasing difficulty. We illustrate this phenomenon across different ways to quantify example difficulty, including c-score, label noise, and in the presence of easy-to-learn spurious correlations. Our results reveal a new understanding of how deep networks prioritize resources across example difficulty.
title Lazy vs hasty: linearization in deep networks impacts learning schedule based on example difficulty
topic Machine Learning
url https://arxiv.org/abs/2209.09658