Data Diversity as Implicit Regularization: How Does Diversity Shape the Weight Space of Deep Neural Networks?

Fuente: arXiv
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Auteurs principaux: Ba, Yang, Mancenido, Michelle V., Pan, Rong
Format: Preprint
Publié: 2024
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author Ba, Yang
Mancenido, Michelle V.
Pan, Rong
author_facet Ba, Yang
Mancenido, Michelle V.
Pan, Rong
contents Data augmentation that introduces diversity into the input data has long been used in training deep learning models. It has demonstrated benefits in improving robustness and generalization, practically aligning well with other regularization strategies such as dropout and weight decay. However, the underlying mechanism of how diverse training data contributes to model improvements remains unknown. In this paper, we investigate the impact of data diversity on the weight space of deep neural networks using Random Matrix Theory. Through spectral analysis and comparing models trained with data augmentation, dropout, and weight decay, we reveal that increasing data diversity alters the weight spectral distribution similarly to other regularization techniques, while displaying a pattern more closely aligned with dropout than with weight decay. Building on these insights, we propose a metric to explain and compare the benefits of diversity introduced by traditional data augmentations and those achieved through synthetic data.
format Preprint
id arxiv_https___arxiv_org_abs_2410_14602
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Data Diversity as Implicit Regularization: How Does Diversity Shape the Weight Space of Deep Neural Networks?
Ba, Yang
Mancenido, Michelle V.
Pan, Rong
Machine Learning
Artificial Intelligence
Data augmentation that introduces diversity into the input data has long been used in training deep learning models. It has demonstrated benefits in improving robustness and generalization, practically aligning well with other regularization strategies such as dropout and weight decay. However, the underlying mechanism of how diverse training data contributes to model improvements remains unknown. In this paper, we investigate the impact of data diversity on the weight space of deep neural networks using Random Matrix Theory. Through spectral analysis and comparing models trained with data augmentation, dropout, and weight decay, we reveal that increasing data diversity alters the weight spectral distribution similarly to other regularization techniques, while displaying a pattern more closely aligned with dropout than with weight decay. Building on these insights, we propose a metric to explain and compare the benefits of diversity introduced by traditional data augmentations and those achieved through synthetic data.
title Data Diversity as Implicit Regularization: How Does Diversity Shape the Weight Space of Deep Neural Networks?
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2410.14602