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To address the issue of interpretability in multilayer perceptrons (MLPs), Kolmogorov-Arnold Networks (KANs) are introduced in 2024. However, optimizing KAN structures is labor-intensive, typically requiring manual intervention and…

Neural and Evolutionary Computing · Computer Science 2025-01-30 Quan Long , Bin Wang , Bing Xue , Mengjie Zhang

Alzheimer's Disease (AD) is a progressive neurodegenerative disorder that poses significant diagnostic challenges due to its complex etiology. Graph Convolutional Networks (GCNs) have shown promise in modeling brain connectivity for AD…

Computer Vision and Pattern Recognition · Computer Science 2025-04-02 Tianqi Ding , Dawei Xiang , Keith E Schubert , Liang Dong

Despite their immense success, deep convolutional neural networks (CNNs) can be difficult to optimize and costly to train due to hundreds of layers within the network depth. Conventional convolutional operations are fundamentally limited by…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Ray Congrui Yu , Sherry Wu , Jiang Gui

Adversarial learning has been successfully embedded into deep networks to learn transferable features, which reduce distribution discrepancy between the source and target domains. Existing domain adversarial networks assume fully shared…

Machine Learning · Computer Science 2017-07-26 Zhangjie Cao , Mingsheng Long , Jianmin Wang , Michael I. Jordan

Deeply stacked KANs are practically impossible due to high training difficulties and substantial memory requirements. Consequently, existing studies can only incorporate few KAN layers, hindering the comprehensive exploration of KANs. This…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Xingyu Qiu , Xinghua Ma , Dong Liang , Gongning Luo , Wei Wang , Kuanquan Wang , Shuo Li

Kolmogorov-Arnold Networks (KAN) \cite{liu2024kan} were very recently proposed as a potential alternative to the prevalent architectural backbone of many deep learning models, the multi-layer perceptron (MLP). KANs have seen success in…

Machine Learning · Computer Science 2025-02-10 Yixuan Wang , Jonathan W. Siegel , Ziming Liu , Thomas Y. Hou

Medical image segmentation demands models that achieve high accuracy while maintaining computational efficiency and clinical interpretability. While recent Kolmogorov-Arnold Networks (KANs) offer powerful adaptive non-linearities, their…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Guojie Li , Tianyi Liu , Anwar P. P. Abdul Majeed , Muhammad Ateeq , Anh Nguyen , Fan Zhang

Adversarial attacks can mislead deep neural networks (DNNs) by adding imperceptible perturbations to benign examples. The attack transferability enables adversarial examples to attack black-box DNNs with unknown architectures or parameters,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Kaisheng Liang , Bin Xiao

Neural networks are powerful parametric function approximators, while Gaussian processes (GPs) are nonparametric probabilistic models that place distributions over functions via kernel-defined correlations but become computationally…

Machine Learning · Computer Science 2025-12-09 Masoud Ataei , Vikas Dhiman , Mohammad Javad Khojasteh

Adversarial examples reveal the vulnerability and unexplained nature of neural networks. Studying the defense of adversarial examples is of considerable practical importance. Most adversarial examples that misclassify networks are often…

Computer Vision and Pattern Recognition · Computer Science 2021-12-23 Wanting Yu , Hongyi Yu , Lingyun Jiang , Mengli Zhang , Kai Qiao

This paper presents the development and application of Wavelet Kolmogorov-Arnold Networks (Wav-KAN) in federated learning. We implemented Wav-KAN \cite{wav-kan} in the clients. Indeed, we have considered both continuous wavelet transform…

Signal Processing · Electrical Eng. & Systems 2024-05-29 Zavareh Bozorgasl , Hao Chen

There is increasing interest in solving partial differential equations (PDEs) by casting them as machine learning problems. Recently, there has been a spike in exploring Kolmogorov-Arnold Networks (KANs) as an alternative to traditional…

Machine Learning · Computer Science 2025-04-16 Raghav Pant , Sikan Li , Xingjian Li , Hassan Iqbal , Krishna Kumar

Adversarial transferability enables black-box attacks on unknown victim deep neural networks (DNNs), rendering attacks viable in real-world scenarios. Current transferable attacks create adversarial perturbation over the entire image,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Shangbo Wu , Yu-an Tan , Yajie Wang , Ruinan Ma , Wencong Ma , Yuanzhang Li

We introduce Geometric Kolmogorov--Arnold Networks (GeoKANs), a family of geometry-aware KAN-type models in which approximation is carried out in learned, geometry-adapted coordinates rather than in fixed Euclidean input coordinates. GeoKAN…

Machine Learning · Computer Science 2026-05-11 Abhijit Sen , Bikram Keshari Parida , Giridas Maiti , Mahima Arya , Denys I. Bondar

Deep neural networks (DNNs) are known to be susceptible to adversarial examples, leading to significant performance degradation. In black-box attack scenarios, a considerable attack performance gap between the surrogate model and the target…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Haijing Guo , Jiafeng Wang , Zhaoyu Chen , Kaixun Jiang , Lingyi Hong , Pinxue Guo , Jinglun Li , Wenqiang Zhang

Recent advancements in Lyapunov-based Deep Neural Networks (Lb-DNNs) have demonstrated improved performance over shallow NNs and traditional adaptive control for nonlinear systems with uncertain dynamics. Existing Lb-DNNs rely on…

Systems and Control · Electrical Eng. & Systems 2025-12-29 Xuehui Shen , Wenqian Xue , Yixuan Wang , Warren E. Dixon

While most modern machine learning methods offer speed and accuracy, few promise interpretability or explainability -- two key features necessary for highly sensitive industries, like medicine, finance, and engineering. Using eight datasets…

Machine Learning · Computer Science 2025-04-08 Nataly R. Panczyk , Omer F. Erdem , Majdi I. Radaideh

Though deep neural networks perform challenging tasks excellently, they are susceptible to adversarial examples, which mislead classifiers by applying human-imperceptible perturbations on clean inputs. Under the query-free black-box…

Machine Learning · Computer Science 2020-11-05 Zifei Zhang , Kai Qiao , Jian Chen , Ningning Liang

We develop a method for multifidelity Kolmogorov-Arnold networks (KANs), which use a low-fidelity model along with a small amount of high-fidelity data to train a model for the high-fidelity data accurately. Multifidelity KANs (MFKANs)…

Machine Learning · Computer Science 2024-10-22 Amanda A. Howard , Bruno Jacob , Panos Stinis

Imperceptible adversarial attacks aim to fool DNNs by adding imperceptible perturbation to the input data. Previous methods typically improve the imperceptibility of attacks by integrating common attack paradigms with specifically designed…

Machine Learning · Computer Science 2025-03-13 Jin Li , Ziqiang He , Anwei Luo , Jian-Fang Hu , Z. Jane Wang , Xiangui Kang