Revisiting Generalization Power of a DNN in Terms of Symbolic Interactions

Fuente: arXiv
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Autores principales: Cheng, Lei, Zhang, Junpeng, Ren, Qihan, Zhang, Quanshi
Formato: Preprint
Publicado: 2025
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author Cheng, Lei
Zhang, Junpeng
Ren, Qihan
Zhang, Quanshi
author_facet Cheng, Lei
Zhang, Junpeng
Ren, Qihan
Zhang, Quanshi
contents This paper aims to analyze the generalization power of deep neural networks (DNNs) from the perspective of interactions. Unlike previous analysis of a DNN's generalization power in a highdimensional feature space, we find that the generalization power of a DNN can be explained as the generalization power of the interactions. We found that the generalizable interactions follow a decay-shaped distribution, while non-generalizable interactions follow a spindle-shaped distribution. Furthermore, our theory can effectively disentangle these two types of interactions from a DNN. We have verified that our theory can well match real interactions in a DNN in experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2502_10162
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Revisiting Generalization Power of a DNN in Terms of Symbolic Interactions
Cheng, Lei
Zhang, Junpeng
Ren, Qihan
Zhang, Quanshi
Machine Learning
Artificial Intelligence
Computation and Language
Computer Vision and Pattern Recognition
This paper aims to analyze the generalization power of deep neural networks (DNNs) from the perspective of interactions. Unlike previous analysis of a DNN's generalization power in a highdimensional feature space, we find that the generalization power of a DNN can be explained as the generalization power of the interactions. We found that the generalizable interactions follow a decay-shaped distribution, while non-generalizable interactions follow a spindle-shaped distribution. Furthermore, our theory can effectively disentangle these two types of interactions from a DNN. We have verified that our theory can well match real interactions in a DNN in experiments.
title Revisiting Generalization Power of a DNN in Terms of Symbolic Interactions
topic Machine Learning
Artificial Intelligence
Computation and Language
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2502.10162