Exploring Adversarial Transferability between Kolmogorov-arnold Networks

Fuente: arXiv
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Auteurs principaux: Wang, Songping, Yue, Xinquan, Lyu, Yueming, Shan, Caifeng
Format: Preprint
Publié: 2025
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author Wang, Songping
Yue, Xinquan
Lyu, Yueming
Shan, Caifeng
author_facet Wang, Songping
Yue, Xinquan
Lyu, Yueming
Shan, Caifeng
contents Kolmogorov-Arnold Networks (KANs) have emerged as a transformative model paradigm, significantly impacting various fields. However, their adversarial robustness remains less underexplored, especially across different KAN architectures. To explore this critical safety issue, we conduct an analysis and find that due to overfitting to the specific basis functions of KANs, they possess poor adversarial transferability among different KANs. To tackle this challenge, we propose AdvKAN, the first transfer attack method for KANs. AdvKAN integrates two key components: 1) a Breakthrough-Defense Surrogate Model (BDSM), which employs a breakthrough-defense training strategy to mitigate overfitting to the specific structures of KANs. 2) a Global-Local Interaction (GLI) technique, which promotes sufficient interaction between adversarial gradients of hierarchical levels, further smoothing out loss surfaces of KANs. Both of them work together to enhance the strength of transfer attack among different KANs. Extensive experimental results on various KANs and datasets demonstrate the effectiveness of AdvKAN, which possesses notably superior attack capabilities and deeply reveals the vulnerabilities of KANs. Code will be released upon acceptance.
format Preprint
id arxiv_https___arxiv_org_abs_2503_06276
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exploring Adversarial Transferability between Kolmogorov-arnold Networks
Wang, Songping
Yue, Xinquan
Lyu, Yueming
Shan, Caifeng
Computer Vision and Pattern Recognition
Kolmogorov-Arnold Networks (KANs) have emerged as a transformative model paradigm, significantly impacting various fields. However, their adversarial robustness remains less underexplored, especially across different KAN architectures. To explore this critical safety issue, we conduct an analysis and find that due to overfitting to the specific basis functions of KANs, they possess poor adversarial transferability among different KANs. To tackle this challenge, we propose AdvKAN, the first transfer attack method for KANs. AdvKAN integrates two key components: 1) a Breakthrough-Defense Surrogate Model (BDSM), which employs a breakthrough-defense training strategy to mitigate overfitting to the specific structures of KANs. 2) a Global-Local Interaction (GLI) technique, which promotes sufficient interaction between adversarial gradients of hierarchical levels, further smoothing out loss surfaces of KANs. Both of them work together to enhance the strength of transfer attack among different KANs. Extensive experimental results on various KANs and datasets demonstrate the effectiveness of AdvKAN, which possesses notably superior attack capabilities and deeply reveals the vulnerabilities of KANs. Code will be released upon acceptance.
title Exploring Adversarial Transferability between Kolmogorov-arnold Networks
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2503.06276