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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.…

机器学习 · 计算机科学 2025-01-22 Maciej Krzywda , Mariusz Wermiński , Szymon Łukasik , Amir H. Gandomi

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

This systematic review explores the theoretical foundations, evolution, applications, and future potential of Kolmogorov-Arnold Networks (KAN), a neural network model inspired by the Kolmogorov-Arnold representation theorem. KANs…

机器学习 · 计算机科学 2025-06-09 Shriyank Somvanshi , Syed Aaqib Javed , Md Monzurul Islam , Diwas Pandit , Subasish Das

Kolmogorov-Arnold Networks (KANs) offer a structured and interpretable framework for multivariate function approximation by composing univariate transformations through additive or multiplicative aggregation. This paper establishes…

机器学习 · 计算机科学 2025-12-05 Wei Liu , Eleni Chatzi , Zhilu Lai

The research undertakes a comprehensive comparative analysis of Kolmogorov-Arnold Networks (KAN) and Multi-Layer Perceptrons (MLP), highlighting their effectiveness in solving essential computational challenges like nonlinear function…

机器学习 · 计算机科学 2026-01-16 Aradhya Gaonkar , Nihal Jain , Vignesh Chougule , Nikhil Deshpande , Sneha Varur , Channabasappa Muttal

Kolmogorov-Arnold Networks (KANs) have gained significant attention as an alternative to traditional multilayer perceptrons, with proponents claiming superior interpretability and performance through learnable univariate activation…

机器学习 · 计算机科学 2025-09-16 Yuntian Hou , Tianrui Ji , Di Zhang , Angelos Stefanidis

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…

计算机视觉与模式识别 · 计算机科学 2024-11-15 Yueyang Cang , Yu hang liu , Li Shi

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…

计算机视觉与模式识别 · 计算机科学 2024-10-21 Basim Azam , Naveed Akhtar

We present a novel approach for verifying properties of Kolmogorov-Arnold Networks (KANs), a class of neural networks characterized by nonlinear, univariate activation functions typically implemented as piecewise polynomial splines or…

机器学习 · 计算机科学 2026-02-09 Noah Schwartz , Chandra Kanth Nagesh , Sriram Sankaranarayanan , Ramneet Kaur , Tuhin Sahai , Susmit Jha

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…

机器学习 · 计算机科学 2024-09-12 Chang Dong , Liangwei Zheng , Weitong Chen

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…

机器学习 · 计算机科学 2024-09-13 Sheng Shen , Rabih Younes

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…

机器学习 · 计算机科学 2026-05-05 Xavier Warin

Kolmogorov-Arnold Networks (KANs) are emerging as a powerful framework for interpretable and efficient system identification in dynamic systems. By leveraging the Kolmogorov-Arnold representation theorem, KANs enable function approximation…

机器学习 · 计算机科学 2025-06-13 Nart Gashi , Panagiotis Kakosimos , George Papafotiou

The Kolmogorov-Arnold network (KAN) is a regression model that is based on a representation of an arbitrary continuous multivariate function by a composition of functions of a single variable. Experimentally-obtained datasets for regression…

机器学习 · 计算机科学 2024-10-10 Andrew Polar , Michael Poluektov

The rapid development of deepfake generation techniques necessitates robust face forgery detection algorithms. While methods based on Convolutional Neural Networks (CNNs) and Transformers are effective, there is still room for improvement…

计算机视觉与模式识别 · 计算机科学 2026-02-17 Jiayao Jiang , Bin Liu , Qi Chu , Nenghai Yu

Kolmogorov-Arnold Networks (KANs), whose design is inspired-rather than dictated-by the Kolmogorov superposition theorem, have emerged as a structured alternative to MLPs. This review provides a systematic and comprehensive overview of the…

机器学习 · 计算机科学 2026-05-28 Amir Noorizadegan , Sifan Wang , Leevan Ling , Juan P. Dominguez-Morales

Kolmogorov-Arnold Networks (KANs) were proposed as an alternative to traditional neural network architectures based on multilayer perceptrons (MLP-NNs). The potential advantages of KANs over MLP-NNs, including significantly enhanced…

材料科学 · 物理学 2026-01-29 Ryan Jacobs , Lane E. Schultz , Dane Morgan

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…

机器学习 · 计算机科学 2025-01-24 Eleonora Poeta , Flavio Giobergia , Eliana Pastor , Tania Cerquitelli , Elena Baralis

Deep learning models have revolutionized various domains, with Multi-Layer Perceptrons (MLPs) being a cornerstone for tasks like data regression and image classification. However, a recent study has introduced Kolmogorov-Arnold Networks…

机器学习 · 计算机科学 2024-10-04 Mohammadamin Moradi , Shirin Panahi , Erik Bollt , Ying-Cheng Lai

Kolmogorov-Arnold Networks (KAN) is a groundbreaking model recently proposed by the MIT team, representing a revolutionary approach with the potential to be a game-changer in the field. This innovative concept has rapidly garnered worldwide…

机器学习 · 计算机科学 2024-06-05 Kunpeng Xu , Lifei Chen , Shengrui Wang
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