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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…

神经与进化计算 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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,…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

信号处理 · 电气工程与系统科学 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…

机器学习 · 计算机科学 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,…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

系统与控制 · 电气工程与系统科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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)…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 2025-03-13 Jin Li , Ziqiang He , Anwei Luo , Jian-Fang Hu , Z. Jane Wang , Xiangui Kang