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Graph neural networks (GNNs) with attention mechanisms, often referred to as attentive GNNs, have emerged as a prominent paradigm in advanced GNN models in recent years. However, our understanding of the critical process of scoring neighbor…

Machine Learning · Computer Science 2025-03-12 Taoran Fang , Tianhong Gao , Chunping Wang , Yihao Shang , Wei Chow , Lei Chen , Yang Yang

Kolmogorov-Arnold Networks represent a recent advancement in machine learning, with the potential to outperform traditional perceptron-based neural networks across various domains as well as provide more interpretability with the use of…

High Energy Physics - Phenomenology · Physics 2024-09-26 E. Abasov , P. Volkov , G. Vorotnikov , L. Dudko , A. Zaborenko , E. Iudin , A. Markina , M. Perfilov

Kolmogorov-Arnold Networks (KANs), a novel type of neural network, have recently gained popularity and attention due to the ability to substitute multi-layer perceptions (MLPs) in artificial intelligence (AI) with higher accuracy and…

The Kolmogorov-Arnold representation theorem states that any continuous multivariable function can be exactly represented as a finite superposition of continuous single variable functions. Subsequent simplifications of this representation…

Machine Learning · Statistics 2025-08-04 Sergei Gleyzer , Hanh Nguyen , Dinesh P. Ramakrishnan , Eric A. F. Reinhardt

The multilayer perceptron (MLP), a fundamental paradigm in current artificial intelligence, is widely applied in fields such as computer vision and natural language processing. However, the recently proposed Kolmogorov-Arnold Network (KAN),…

Machine Learning · Computer Science 2024-08-19 Zhuoqin Yang , Jiansong Zhang , Xiaoling Luo , Zheng Lu , Linlin Shen

Graph Representation Learning aims to create effective embeddings for nodes and edges that encapsulate their features and relationships. Graph Neural Networks (GNNs) leverage neural networks to model complex graph structures. Recently, the…

Machine Learning · Computer Science 2025-01-23 Muhieddine Shebaro , Jelena Tešić

Kolmogorov-Arnold Networks(KANs), as a theoretically efficient neural network architecture, have garnered attention for their potential in capturing complex patterns. However, their application in computer vision remains relatively…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Yueyang Cang , Yu hang liu , Li Shi

By utilising their adaptive activation functions, Kolmogorov-Arnold Networks (KANs) can be applied in a novel way for the diverse machine learning tasks, including cyber threat detection. KANs substitute conventional linear weights with…

Cryptography and Security · Computer Science 2026-04-01 Mohammed Hassanin

Kolmogorov-Arnold Networks (KANs) have very recently been introduced into the world of machine learning, quickly capturing the attention of the entire community. However, KANs have mostly been tested for approximating complex functions or…

Machine Learning · Computer Science 2025-01-24 Eleonora Poeta , Flavio Giobergia , Eliana Pastor , Tania Cerquitelli , Elena Baralis

The Kolmogorov-Arnold Network (KAN) is a new network architecture known for its high accuracy in several tasks such as function fitting and PDE solving. The superior expressive capability of KAN arises from the Kolmogorov-Arnold…

Machine Learning · Computer Science 2024-12-19 Ruichen Qiu , Yibo Miao , Shiwen Wang , Lijia Yu , Yifan Zhu , Xiao-Shan Gao

The highly nonlinear degradation process, complex physical interactions, and various sources of uncertainty render single-image Super-resolution (SR) a particularly challenging task. Existing interpretable SR approaches, whether based on…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Chenyu Li , Danfeng Hong , Bing Zhang , Zhaojie Pan , Jocelyn Chanussot

Kolmogorov-Arnold Networks (KANs) offer an efficient and interpretable alternative to traditional multi-layer perceptron (MLP) architectures due to their finite network topology. However, according to the results of Kolmogorov and…

Machine Learning · Computer Science 2024-05-28 Moein E. Samadi , Younes Müller , Andreas Schuppert

Kolmogorov-Arnold Networks (KANs) have recently emerged as a powerful alternative to traditional multilayer perceptrons. However, their reliance on predefined, bounded grids restricts their ability to approximate functions on unbounded…

Machine Learning · Computer Science 2025-10-10 Alireza Moradzadeh , Srimukh Prasad Veccham , Lukasz Wawrzyniak , Miles Macklin , Saee G. Paliwal

Kolmogorov-Arnold Networks (KANs) are a class of neural networks that have received increased attention in recent literature. In contrast to MLPs, KANs leverage parameterized, trainable activation functions and offer several benefits…

Machine Learning · Computer Science 2025-11-14 Jamison Moody , James Usevitch

Kolmogorov-Arnold Networks (KAN) models were recently proposed and claimed to provide improved parameter scaling and interpretability compared to conventional multilayer perceptron (MLP) models. Inspired by the KAN architecture, we propose…

Symbolic neural networks, such as Kolmogorov-Arnold Networks (KAN), offer a promising approach for integrating prior knowledge with data-driven methods, making them valuable for addressing inverse problems in scientific and engineering…

Machine Learning · Computer Science 2024-11-05 Xia Chen , Guoquan Lv , Xinwei Zhuang , Carlos Duarte , Stefano Schiavon , Philipp Geyer

Neural network (NN)-based transistor compact modeling has recently emerged as a transformative solution for accelerating device modeling and SPICE circuit simulations. However, conventional NN architectures, despite their widespread…

Machine Learning · Computer Science 2025-03-20 Rodion Novkin , Hussam Amrouch

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

Kolmogorov-Arnold Networks (KANs) have inspired numerous works exploring their applications across a wide range of scientific problems, with the potential to replace Multilayer Perceptrons (MLPs). While many KANs are designed using basis…

Machine Learning · Computer Science 2025-03-11 Hoang-Thang Ta , Anh Tran

Convolutional Neural Networks (CNNs) and vision transformers (ViTs) have shown excellent capability in complex hyperspectral image (HSI) classification. However, these models require a significant number of training data and are…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Ali Jamali , Swalpa Kumar Roy , Danfeng Hong , Bing Lu , Pedram Ghamisi