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A new Kolmogorov-Arnold network (KAN) is proposed to approximate potentially irregular functions in high dimensions. We provide error bounds for this approximation, assuming that the Kolmogorov-Arnold expansion functions are sufficiently…

Machine Learning · Computer Science 2026-05-05 Xavier Warin

This paper introduces Kolmogorov-Arnold Networks (KAN) as an enhancement to the traditional linear probing method in transfer learning. Linear probing, often applied to the final layer of pre-trained models, is limited by its inability to…

Machine Learning · Computer Science 2024-09-13 Sheng Shen , Rabih Younes

Kolmogorov-Arnold Networks (KANs) have recently emerged as a compelling alternative to multilayer perceptrons, offering enhanced interpretability via functional decomposition. However, existing KAN architectures, including spline-,…

Machine Learning · Computer Science 2026-02-19 Sidharth S. Menon , Ameya D. Jagtap

Human Activity Recognition (HAR) plays a critical role in numerous applications, including healthcare monitoring, fitness tracking, and smart environments. Traditional deep learning (DL) approaches, while effective, often require extensive…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Mohammad Alikhani

Kolmogorov-Arnold Networks (KANs) introduce a paradigm of neural modeling that implements learnable functions on the edges of the networks, diverging from the traditional node-centric activations in neural networks. This work assesses the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-21 Basim Azam , Naveed Akhtar

Kolmogorov-Arnold Networks (KANs) have recently gained attention as an alternative to traditional Multilayer Perceptrons (MLPs) in deep learning frameworks. KANs have been integrated into various deep learning architectures such as…

Computer Vision and Pattern Recognition · Computer Science 2025-06-13 Ali Kashefi

Deep learning neural networks architectures such Multi Layer Perceptrons (MLP) and Convolutional blocks still play a crucial role in nowadays research advancements. From a topological point of view, these architecture may be represented as…

Machine Learning · Computer Science 2025-07-29 Ugo Lomoio , Pierangelo Veltri , Pietro Hiram Guzzi

Due to their effective performance, Convolutional Neural Network (CNN) and Vision Transformer (ViT) architectures have become the standard for solving computer vision tasks. Such architectures require large data sets and rely on convolution…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Jorge Luiz dos Santos Canuto , Linnyer Beatrys Ruiz Aylon , Rodrigo Clemente Thom de Souza

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

Deep learning-based medical image segmentation has shown remarkable success; however, it typically requires extensive pixel-level annotations, which are both expensive and time-intensive. Semi-supervised medical image segmentation (SSMIS)…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Zanting Ye , Xiaolong Niu , Xuanbin Wu , Wenxiang Yi , Yuan Chang , Lijun Lu

Kolmogorov--Arnold Networks (KANs), a recently proposed neural network architecture, have gained significant attention in the deep learning community, due to their potential as a viable alternative to multi-layer perceptrons (MLPs) and…

Machine Learning · Computer Science 2024-10-11 Yihang Gao , Vincent Y. F. Tan

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

Function approximation is a critical task in various fields. However, existing neural network approaches struggle with locally complex or discontinuous functions due to their reliance on a single global model covering the entire problem…

Machine Learning · Computer Science 2025-12-16 Hiroki Shiraishi , Hisao Ishibuchi , Masaya Nakata

Collaborative filtering (CF) remains essential in recommender systems, leveraging user--item interactions to provide personalized recommendations. Meanwhile, a number of CF techniques have evolved into sophisticated model architectures…

Information Retrieval · Computer Science 2024-09-12 Jin-Duk Park , Kyung-Min Kim , Won-Yong Shin

To address the challenge of tractability for optimizing mathematical models in science and engineering, surrogate models are often employed. Recently, a new class of machine learning models named Kolmogorov Arnold Networks (KANs) have been…

Optimization and Control · Mathematics 2025-03-05 Tanuj Karia , Giacomo Lastrucci , Artur M. Schweidtmann

Permutation equivariant neural networks employing parameter-sharing schemes have emerged as powerful models for leveraging a wide range of data symmetries, significantly enhancing the generalization and computational efficiency of the…

Machine Learning · Computer Science 2026-03-10 Ran Elbaz , Guy Bar-Shalom , Yam Eitan , Fabrizio Frasca , Haggai Maron

Scientific discovery and dynamic characterization of the physical system play a critical role in understanding, learning, and modeling the physical phenomena and behaviors in various fields. Although theories and laws of many system…

Optics · Physics 2025-04-29 Xiaotian Jiang , Min Zhang , Xiao Luo , Zelai Yu , Yiming Meng , Danshi Wang

Time series classification is a relevant step supporting decision-making processes in various domains, and deep neural models have shown promising performance in this respect. Despite significant advancements in deep learning, the…

Machine Learning · Computer Science 2025-11-04 Irina Barašin , Blaž Bertalanič , Mihael Mohorčič , Carolina Fortuna

Kolmogorov Arnold Networks (KANs) are recent architectural advancement in neural computation that offer a mathematically grounded alternative to standard neural networks. This study presents an empirical evaluation of KANs in context of…

Machine Learning · Computer Science 2025-07-21 Pankaj Yadav , Vivek Vijay

High-dimensional linear mappings, or linear layers, dominate both the parameter count and the computational cost of most modern deep-learning models. We introduce a general-purpose drop-in replacement, lookup multivariate Kolmogorov-Arnold…

Machine Learning · Computer Science 2025-10-20 Sergey Pozdnyakov , Philippe Schwaller
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