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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…

Machine Learning · Computer Science 2025-09-16 Yuntian Hou , Tianrui Ji , Di Zhang , Angelos Stefanidis

Kolmogorov-Arnold Networks (KANs) were recently introduced as an alternative representation model to MLP. Herein, we employ KANs to construct physics-informed machine learning models (PIKANs) and deep operator models (DeepOKANs) for solving…

Machine Learning · Computer Science 2024-06-06 Khemraj Shukla , Juan Diego Toscano , Zhicheng Wang , Zongren Zou , George Em Karniadakis

Symbolic discovery of governing equations is a long-standing goal in scientific machine learning, yet a fundamental trade-off persists between interpretability and scalable learning. Classical symbolic regression methods yield explicit…

Machine Learning · Computer Science 2026-03-26 Salah A Faroughi , Farinaz Mostajeran , Amirhossein Arzani , Shirko Faroughi

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

Score prediction is crucial in evaluating realistic image sharpness based on collected informative features. Recently, Kolmogorov-Arnold networks (KANs) have been developed and witnessed remarkable success in data fitting. This study…

Computer Vision and Pattern Recognition · Computer Science 2024-12-06 Shaode Yu , Ze Chen , Zhimu Yang , Jiacheng Gu , Bizu Feng

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

Efforts to improve Kolmogorov--Arnold networks (KANs) with architectural enhancements have been stymied by the complexity those enhancements bring, undermining the interpretability that makes KANs attractive in the first place. Here we…

Machine Learning · Computer Science 2026-04-22 James Bagrow , Josh Bongard

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…

Machine Learning · Computer Science 2024-06-05 Kunpeng Xu , Lifei Chen , Shengrui Wang

Deep learning methods have been widely used as an end-to-end modeling strategy of electrical energy systems because of their conveniency and powerful pattern recognition capability. However, due to the "closed-box" nature, deep learning…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Zhenghao Zhou , Yiyan Li , Zelin Guo , Zheng Yan , Mo-Yuen Chow

Existing low-light image enhancement methods are difficult to fit the complex nonlinear relationship between normal and low-light images due to uneven illumination and noise effects. The recently proposed Kolmogorov-Arnold networks (KANs)…

Computer Vision and Pattern Recognition · Computer Science 2025-02-07 Aoxiang Ning , Minglong Xue , Jinhong He , Chengyun Song

In this paper, we present Convolutional Kolmogorov-Arnold Networks, a novel architecture that integrates the learnable spline-based activation functions of Kolmogorov-Arnold Networks (KANs) into convolutional layers. By replacing…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Alexander Dylan Bodner , Antonio Santiago Tepsich , Jack Natan Spolski , Santiago Pourteau

Kolmogorov-Arnold Networks (KANs) are a recently introduced neural architecture that replace fixed nonlinearities with trainable activation functions, offering enhanced flexibility and interpretability. While KANs have been applied…

Machine Learning · Computer Science 2026-03-31 Spyros Rigas , Dhruv Verma , Georgios Alexandridis , Yixuan Wang

In this paper, we present an innovative federated learning (FL) approach that utilizes Kolmogorov-Arnold Networks (KANs) for classification tasks. By utilizing the adaptive activation capabilities of KANs in a federated framework, we aim to…

Machine Learning · Computer Science 2024-11-12 Engin Zeydan , Cristian J. Vaca-Rubio , Luis Blanco , Roberto Pereira , Marius Caus , Abdullah Aydeger

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…

Machine Learning · Computer Science 2024-10-04 Mohammadamin Moradi , Shirin Panahi , Erik Bollt , Ying-Cheng Lai

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…

Machine Learning · Computer Science 2025-12-05 Wei Liu , Eleni Chatzi , Zhilu Lai

As AI systems become more embedded in everyday life, the development of fair and unbiased models becomes more critical. Considering the social impact of AI systems is not merely a technical challenge but a moral imperative. As evidenced in…

Machine Learning · Computer Science 2025-10-03 Aida Tayebi , Ali Khodabandeh Yalabadi , Mehdi Yazdani-Jahromi , Ozlem Ozmen Garibay

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…

Materials Science · Physics 2026-01-29 Ryan Jacobs , Lane E. Schultz , Dane Morgan

Deep learning has long been dominated by multi-layer perceptrons (MLPs), which have demonstrated superiority over other optimizable models in various domains. Recently, a new alternative to MLPs has emerged - Kolmogorov-Arnold Networks…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Alessandro Cacciatore , Valerio Morelli , Federica Paganica , Emanuele Frontoni , Lucia Migliorelli , Daniele Berardini

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…

Machine Learning · Computer Science 2025-04-08 Nataly R. Panczyk , Omer F. Erdem , Majdi I. Radaideh

We investigate the integration of Kolmogorov-Arnold Networks (KANs) into hard-constrained recurrent physics-informed architectures (HRPINN) to evaluate the fidelity of learned residual manifolds in oscillatory systems. Motivated by the…

Machine Learning · Computer Science 2026-03-06 Enzo Nicolas Spotorno , Josafat Leal Filho , Antonio Augusto Medeiros Frohlich