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Uncertainty quantification (UQ) plays a pivotal role in scientific machine learning, especially when surrogate models are used to approximate complex systems. Although multilayer perceptions (MLPs) are commonly employed as surrogates, they…

Numerical Analysis · Mathematics 2025-01-22 Zhiwei Gao , George Em Karniadakis

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

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 have recently been introduced as a flexible alternative to multi-layer Perceptron architectures. In this paper, we examine the training dynamics of different KAN architectures and compare them with corresponding…

Machine Learning · Computer Science 2024-11-11 Shairoz Sohail

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

Data science has emerged as fourth paradigm of scientific exploration. However many machine learning models operate as black boxes offering limited insight into the reasoning behind their predictions. This lack of transparency is one of the…

Machine Learning · Computer Science 2025-01-31 Sudhanva Kulkarni

The recently proposed Kolmogorov-Arnold network (KAN) is a promising alternative to multi-layer perceptrons (MLPs) for data-driven modeling. While original KAN layers were only capable of representing the addition operator, the…

Machine Learning · Computer Science 2025-07-28 Benjamin C. Koenig , Suyong Kim , Sili Deng

Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-layer Perceptrons (MLPs) due to their superior function-fitting abilities in data-driven modeling. In this paper, we propose a novel framework, DAE-KAN, for…

Machine Learning · Computer Science 2025-04-24 Kai Luo , Juan Tang , Mingchao Cai , Xiaoqing Zeng , Manqi Xie , Ming Yan

Kolmogorov-Arnold Networks (KANs) have been recently proposed as a machine learning framework that is more interpretable and controllable than the multi-layer perceptron. Various network architectures have been proposed within the KAN…

Machine Learning · Computer Science 2025-02-21 Tatiana Boura , Stasinos Konstantopoulos

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

Multilayer perception (MLP) has permeated various disciplinary domains, ranging from bioinformatics to financial analytics, where their application has become an indispensable facet of contemporary scientific research endeavors. However,…

Artificial Intelligence · Computer Science 2024-07-15 Yanjie Li , Weijun Li , Lina Yu , Min Wu , Jinyi Liu , Wenqiang Li , Meilan Hao , Shu Wei , Yusong Deng , Liping Zhang , Xiaoli Dong , Hong Qin , Xin Ning , Yugui Zhang , Baoli Lu , Jian Xu , Shuang Li

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

Kolmogorov-Arnold Networks (KANs) have demonstrated an exceptional ability to learn complex functions on clean, low-dimensional data but struggle to maintain performance on noisy and imperfect real-world datasets. In contrast, conventional…

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

DreamerV3 is a state-of-the-art online model-based reinforcement learning (MBRL) algorithm known for remarkable sample efficiency. Concurrently, Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-Layer…

Machine Learning · Computer Science 2025-12-09 Chenwei Shi , Xueyu Luan

Kolmogorov-Arnold Networks (KANs) have shown potential as an alternative to Multi-Layer Perceptrons (MLPs) in neural networks, providing universal function approximation with fewer parameters and reduced memory usage. In this paper, we…

Machine Learning · Computer Science 2024-09-04 Victor Augusto Kich , Jair Augusto Bottega , Raul Steinmetz , Ricardo Bedin Grando , Ayano Yorozu , Akihisa Ohya

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

Recently, Kolmogorov-Arnold Networks (KANs) have been proposed as an alternative to multilayer perceptrons, suggesting advantages in performance and interpretability. We study a typical binary event classification task in high-energy…

High Energy Physics - Phenomenology · Physics 2025-05-27 Johannes Erdmann , Florian Mausolf , Jan Lukas Späh

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

Inspired by the Kolmogorov-Arnold representation theorem and Kurkova's principle of using approximate representations, we propose the Kurkova-Kolmogorov-Arnold Network (KKAN), a new two-block architecture that combines robust multi-layer…

Machine Learning · Computer Science 2024-12-24 Juan Diego Toscano , Li-Lian Wang , George Em Karniadakis