Explaining Generalization Power of a DNN Using Interactive Concepts

Fuente: arXiv
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Autores principales: Zhou, Huilin, Zhang, Hao, Deng, Huiqi, Liu, Dongrui, Shen, Wen, Chan, Shih-Han, Zhang, Quanshi
Formato: Preprint
Publicado: 2023
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author Zhou, Huilin
Zhang, Hao
Deng, Huiqi
Liu, Dongrui
Shen, Wen
Chan, Shih-Han
Zhang, Quanshi
author_facet Zhou, Huilin
Zhang, Hao
Deng, Huiqi
Liu, Dongrui
Shen, Wen
Chan, Shih-Han
Zhang, Quanshi
contents This paper explains the generalization power of a deep neural network (DNN) from the perspective of interactions. Although there is no universally accepted definition of the concepts encoded by a DNN, the sparsity of interactions in a DNN has been proved, i.e., the output score of a DNN can be well explained by a small number of interactions between input variables. In this way, to some extent, we can consider such interactions as interactive concepts encoded by the DNN. Therefore, in this paper, we derive an analytic explanation of inconsistency of concepts of different complexities. This may shed new lights on using the generalization power of concepts to explain the generalization power of the entire DNN. Besides, we discover that the DNN with stronger generalization power usually learns simple concepts more quickly and encodes fewer complex concepts. We also discover the detouring dynamics of learning complex concepts, which explains both the high learning difficulty and the low generalization power of complex concepts. The code will be released when the paper is accepted.
format Preprint
id arxiv_https___arxiv_org_abs_2302_13091
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Explaining Generalization Power of a DNN Using Interactive Concepts
Zhou, Huilin
Zhang, Hao
Deng, Huiqi
Liu, Dongrui
Shen, Wen
Chan, Shih-Han
Zhang, Quanshi
Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
This paper explains the generalization power of a deep neural network (DNN) from the perspective of interactions. Although there is no universally accepted definition of the concepts encoded by a DNN, the sparsity of interactions in a DNN has been proved, i.e., the output score of a DNN can be well explained by a small number of interactions between input variables. In this way, to some extent, we can consider such interactions as interactive concepts encoded by the DNN. Therefore, in this paper, we derive an analytic explanation of inconsistency of concepts of different complexities. This may shed new lights on using the generalization power of concepts to explain the generalization power of the entire DNN. Besides, we discover that the DNN with stronger generalization power usually learns simple concepts more quickly and encodes fewer complex concepts. We also discover the detouring dynamics of learning complex concepts, which explains both the high learning difficulty and the low generalization power of complex concepts. The code will be released when the paper is accepted.
title Explaining Generalization Power of a DNN Using Interactive Concepts
topic Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2302.13091