Rényi Divergence Deep Mutual Learning

Fuente: arXiv
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Main Authors: Huang, Weipeng, Tao, Junjie, Deng, Changbo, Fan, Ming, Wan, Wenqiang, Xiong, Qi, Piao, Guangyuan
Format: Preprint
Published: 2022
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_version_ 1866910608368074752
author Huang, Weipeng
Tao, Junjie
Deng, Changbo
Fan, Ming
Wan, Wenqiang
Xiong, Qi
Piao, Guangyuan
author_facet Huang, Weipeng
Tao, Junjie
Deng, Changbo
Fan, Ming
Wan, Wenqiang
Xiong, Qi
Piao, Guangyuan
contents This paper revisits Deep Mutual Learning (DML), a simple yet effective computing paradigm. We propose using Rényi divergence instead of the KL divergence, which is more flexible and tunable, to improve vanilla DML. This modification is able to consistently improve performance over vanilla DML with limited additional complexity. The convergence properties of the proposed paradigm are analyzed theoretically, and Stochastic Gradient Descent with a constant learning rate is shown to converge with $\mathcal{O}(1)$-bias in the worst case scenario for nonconvex optimization tasks. That is, learning will reach nearby local optima but continue searching within a bounded scope, which may help mitigate overfitting. Finally, our extensive empirical results demonstrate the advantage of combining DML and Rényi divergence, leading to further improvement in model generalization.
format Preprint
id arxiv_https___arxiv_org_abs_2209_05732
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Rényi Divergence Deep Mutual Learning
Huang, Weipeng
Tao, Junjie
Deng, Changbo
Fan, Ming
Wan, Wenqiang
Xiong, Qi
Piao, Guangyuan
Machine Learning
Artificial Intelligence
This paper revisits Deep Mutual Learning (DML), a simple yet effective computing paradigm. We propose using Rényi divergence instead of the KL divergence, which is more flexible and tunable, to improve vanilla DML. This modification is able to consistently improve performance over vanilla DML with limited additional complexity. The convergence properties of the proposed paradigm are analyzed theoretically, and Stochastic Gradient Descent with a constant learning rate is shown to converge with $\mathcal{O}(1)$-bias in the worst case scenario for nonconvex optimization tasks. That is, learning will reach nearby local optima but continue searching within a bounded scope, which may help mitigate overfitting. Finally, our extensive empirical results demonstrate the advantage of combining DML and Rényi divergence, leading to further improvement in model generalization.
title Rényi Divergence Deep Mutual Learning
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2209.05732