English
Related papers

Related papers: Splines-Based Feature Importance in Kolmogorov-Arn…

200 papers

This paper presents the application of Kolmogorov-Arnold Networks (KAN) in classifying metal surface defects. Specifically, steel surfaces are analyzed to detect defects such as cracks, inclusions, patches, pitted surfaces, and scratches.…

Machine Learning · Computer Science 2025-01-22 Maciej Krzywda , Mariusz Wermiński , Szymon Łukasik , Amir H. Gandomi

Although Kolmogorov-Arnold-based interpretable networks (KANs) possess strong theoretical expressiveness, they suffer from severe parameter explosion and limited ability to capture high-frequency features in high-dimensional tasks. To…

Machine Learning · Computer Science 2026-05-26 Jusheng Zhang , Yijia Fan , Kaitong Cai , Keze Wang , Wenhao Wang

Kolmogorov-Arnold Networks (KAN) has recently attracted significant attention as a promising alternative to traditional Multi-Layer Perceptrons (MLP). Despite their theoretical appeal, KAN require validation on large-scale benchmark…

Machine Learning · Computer Science 2024-09-12 Chang Dong , Liangwei Zheng , Weitong Chen

The development of Kolmogorov-Arnold networks (KANs) marks a significant shift from traditional multi-layer perceptrons in deep learning. Initially, KANs employed B-spline curves as their primary basis function, but their inherent…

Machine Learning · Computer Science 2024-06-21 Alireza Afzal Aghaei

Kolmogorov-Arnold Networks (KANs) have recently emerged as a powerful architecture for various machine learning applications. However, their unique structure raises significant concerns regarding their computational overhead. Existing…

Machine Learning · Computer Science 2026-04-07 Bilal Khalid , Pedro Freire , Sergei K. Turitsyn , Jaroslaw E. Prilepsky

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

Functional connectivity (FC) analysis, a valuable tool for computer-aided brain disorder diagnosis, traditionally relies on atlas-based parcellation. However, issues relating to selection bias and a lack of regard for subject specificity…

Computer Vision and Pattern Recognition · Computer Science 2026-01-05 Tyler Ward , Abdullah Imran

Algorithmic speedup of training common neural architectures is made difficult by the lack of structure guaranteed by the function compositions inherent to such networks. In contrast to multilayer perceptrons (MLPs), Kolmogorov-Arnold…

Machine Learning · Computer Science 2026-03-06 Ben S. Southworth , Jonas A. Actor , Graham Harper , Eric C. Cyr

This study evaluates the applicability of Kolmogorov-Arnold Networks (KAN) in fraud detection, finding that their effectiveness is context-dependent. We propose a quick decision rule using Principal Component Analysis (PCA) to assess the…

Machine Learning · Computer Science 2024-09-05 Yang Lu , Felix Zhan

Inspired by the Kolmogorov-Arnold representation theorem, we propose Kolmogorov-Arnold Networks (KANs) as promising alternatives to Multi-Layer Perceptrons (MLPs). While MLPs have fixed activation functions on nodes ("neurons"), KANs have…

Machine Learning · Computer Science 2025-02-11 Ziming Liu , Yixuan Wang , Sachin Vaidya , Fabian Ruehle , James Halverson , Marin Soljačić , Thomas Y. Hou , Max Tegmark

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

This paper tests whether Kolmogorov--Arnold Networks (KAN 2.0) are genuinely more noise-robust than Multi-Layer Perceptrons (MLP) and XGBoost for stellar classification (star/galaxy/quasar, 100,000 SDSS DR17 objects). A naive comparison…

Instrumentation and Methods for Astrophysics · Physics 2026-05-29 Kristian Sestak

Machine learning for scientific discovery is increasingly becoming popular because of its ability to extract and recognize the nonlinear characteristics from the data. The black-box nature of deep learning methods poses difficulties in…

Computational Physics · Physics 2024-11-19 Ashish Pal , Satish Nagarajaiah

To address the trade-off between computational efficiency and adherence to Kolmogorov-Arnold Network (KAN) principles, we propose TruKAN, a new architecture based on the KAN structure and learnable activation functions. TruKAN replaces the…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Ali Bayeh , Samira Sadaoui , Malek Mouhoub

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

Continual learning requires models to train continuously across consecutive tasks without forgetting. Most existing methods utilize linear classifiers, which struggle to maintain a stable classification space while learning new tasks.…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Yusong Hu , Zichen Liang , Fei Yang , Qibin Hou , Xialei Liu , Ming-Ming Cheng

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

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) 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