Improving Neural ODEs via Knowledge Distillation

Fuente: arXiv
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Main Authors: Chu, Haoyu, Wei, Shikui, Lu, Qiming, Zhao, Yao
Format: Preprint
Published: 2022
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author Chu, Haoyu
Wei, Shikui
Lu, Qiming
Zhao, Yao
author_facet Chu, Haoyu
Wei, Shikui
Lu, Qiming
Zhao, Yao
contents Neural Ordinary Differential Equations (Neural ODEs) construct the continuous dynamics of hidden units using ordinary differential equations specified by a neural network, demonstrating promising results on many tasks. However, Neural ODEs still do not perform well on image recognition tasks. The possible reason is that the one-hot encoding vector commonly used in Neural ODEs can not provide enough supervised information. We propose a new training based on knowledge distillation to construct more powerful and robust Neural ODEs fitting image recognition tasks. Specially, we model the training of Neural ODEs into a teacher-student learning process, in which we propose ResNets as the teacher model to provide richer supervised information. The experimental results show that the new training manner can improve the classification accuracy of Neural ODEs by 24% on CIFAR10 and 5% on SVHN. In addition, we also quantitatively discuss the effect of both knowledge distillation and time horizon in Neural ODEs on robustness against adversarial examples. The experimental analysis concludes that introducing the knowledge distillation and increasing the time horizon can improve the robustness of Neural ODEs against adversarial examples.
format Preprint
id arxiv_https___arxiv_org_abs_2203_05103
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Improving Neural ODEs via Knowledge Distillation
Chu, Haoyu
Wei, Shikui
Lu, Qiming
Zhao, Yao
Computer Vision and Pattern Recognition
Machine Learning
Neural Ordinary Differential Equations (Neural ODEs) construct the continuous dynamics of hidden units using ordinary differential equations specified by a neural network, demonstrating promising results on many tasks. However, Neural ODEs still do not perform well on image recognition tasks. The possible reason is that the one-hot encoding vector commonly used in Neural ODEs can not provide enough supervised information. We propose a new training based on knowledge distillation to construct more powerful and robust Neural ODEs fitting image recognition tasks. Specially, we model the training of Neural ODEs into a teacher-student learning process, in which we propose ResNets as the teacher model to provide richer supervised information. The experimental results show that the new training manner can improve the classification accuracy of Neural ODEs by 24% on CIFAR10 and 5% on SVHN. In addition, we also quantitatively discuss the effect of both knowledge distillation and time horizon in Neural ODEs on robustness against adversarial examples. The experimental analysis concludes that introducing the knowledge distillation and increasing the time horizon can improve the robustness of Neural ODEs against adversarial examples.
title Improving Neural ODEs via Knowledge Distillation
topic Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2203.05103