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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…

Machine Learning · Computer Science 2026-01-16 Aradhya Gaonkar , Nihal Jain , Vignesh Chougule , Nikhil Deshpande , Sneha Varur , Channabasappa Muttal

Kolmogorov-Arnold Networks (KANs) are a recent neural network architecture offering an alternative to Multilayer Perceptrons (MLPs) with improved explainability and expressibility. However, KANs are significantly slower than MLPs due to the…

Machine Learning · Computer Science 2026-04-27 Eduardo Said Merin-Martinez , Andres Mendez-Vazquez , Eduardo Rodriguez-Tello

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

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

Kolmogorov-Arnold Networks (KANs) represent an innovation in neural network architectures, offering a compelling alternative to Multi-Layer Perceptrons (MLPs) in models such as Convolutional Neural Networks (CNNs), Recurrent Neural Networks…

Machine Learning · Computer Science 2025-02-12 Hoang-Thang Ta , Duy-Quy Thai , Anh Tran , Grigori Sidorov , Alexander Gelbukh

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

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

This paper introduces a novel application of Kolmogorov-Arnold Networks (KANs) to time series forecasting, leveraging their adaptive activation functions for enhanced predictive modeling. Inspired by the Kolmogorov-Arnold representation…

Signal Processing · Electrical Eng. & Systems 2025-10-28 Cristian J. Vaca-Rubio , Luis Blanco , Roberto Pereira , Màrius Caus

Kolmogorov-Arnold Networks (KANs), a novel type of neural network, have recently gained popularity and attention due to the ability to substitute multi-layer perceptions (MLPs) in artificial intelligence (AI) with higher accuracy and…

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…

Machine Learning · Computer Science 2025-06-09 Shriyank Somvanshi , Syed Aaqib Javed , Md Monzurul Islam , Diwas Pandit , Subasish Das

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

Multilayer Perceptrons (MLPs) have long been a cornerstone in deep learning, known for their capacity to model complex relationships. Recently, Kolmogorov-Arnold Networks (KANs) have emerged as a compelling alternative, utilizing highly…

Machine Learning · Computer Science 2024-09-17 Farhad Pourkamali-Anaraki

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

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

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 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) relocate learnable nonlinearities from nodes to edges, demonstrating remarkable capabilities in scientific machine learning and interpretable modeling. However, current KAN implementations suffer from…

Neural and Evolutionary Computing · Computer Science 2025-09-25 Alastair Poole , Stig McArthur , Saravan Kumar

Kolmogorov-Arnold Neural Networks (KANs) have gained significant attention in the machine learning community. However, their implementation often suffers from poor training stability and heavy trainable parameter. Furthermore, there is…

Machine Learning · Computer Science 2025-01-17 Liangwewi Nathan Zheng , Wei Emma Zhang , Lin Yue , Miao Xu , Olaf Maennel , Weitong Chen

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

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
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