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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

Transformers stand as the cornerstone of mordern deep learning. Traditionally, these models rely on multi-layer perceptron (MLP) layers to mix the information between channels. In this paper, we introduce the Kolmogorov-Arnold Transformer…

Machine Learning · Computer Science 2024-09-18 Xingyi Yang , Xinchao Wang

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

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

Limited by the complexity of basis function (B-spline) calculations, Kolmogorov-Arnold Networks (KAN) suffer from restricted parallel computing capability on GPUs. This paper proposes a novel ReLU-KAN implementation that inherits the core…

Machine Learning · Computer Science 2024-08-13 Qi Qiu , Tao Zhu , Helin Gong , Liming Chen , Huansheng Ning

We present a novel approach to predicting the pressure and flow rate of flexible electrohydrodynamic pumps using the Kolmogorov-Arnold Network. Inspired by the Kolmogorov-Arnold representation theorem, KAN replaces fixed activation…

Machine Learning · Computer Science 2024-12-31 Yanhong Peng , Yuxin Wang , Fangchao Hu , Miao He , Zebing Mao , Xia Huang , Jun Ding

Kolmogorov-Arnold Networks (KANs) have garnered attention for replacing fixed activation functions with learnable univariate functions, but they exhibit practical limitations, including high computational costs and performance deficits in…

Machine Learning · Computer Science 2025-07-08 Hanseon Joo , Hayoung Choi , Ook Lee , Minjong Cheon

Multilayer Perceptron (MLP), as a simple yet powerful model, continues to be widely used in classification and regression tasks. However, traditional MLPs often struggle to efficiently capture nonlinear relationships in load data when…

Machine Learning · Computer Science 2025-05-13 Yizhou Ma , Zhuoqin Yang , Luis-Daniel Ibáñez

Quantifying functional connectivity (FC), a vital metric for the diagnosis of various brain disorders, traditionally relies on the use of a pre-defined brain atlas. However, using such atlases can lead to issues regarding selection bias and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Tyler Ward , Abdullah-Al-Zubaer Imran

The Convolutional Neural Networks (CNNs) have been the dominant and effective approach for general computer vision tasks. Recently, Kolmogorov-Arnold neural networks (KANs), based on the Kolmogorov-Arnold representation theorem, have shown…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Zhaoxiang Liu , Zhicheng Ma , Kaikai Zhao , Kai Wang , Shiguo Lian

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

Kolmogorov-Arnold Networks (KANs) have seen great success in scientific domains thanks to spline activation functions, becoming an alternative to Multi-Layer Perceptrons (MLPs). However, spline functions may not respect symmetry in tasks,…

Machine Learning · Computer Science 2025-08-18 Lexiang Hu , Yisen Wang , Zhouchen Lin

We introduce a novel symbolic regression framework, namely KAN-SR, built on Kolmogorov Arnold Networks (KANs) which follows a divide-and-conquer approach. Symbolic regression searches for mathematical equations that best fit a given dataset…

Machine Learning · Computer Science 2025-09-15 Marco Andrea Bühler , Gonzalo Guillén-Gosálbez

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

The multilayer perceptron (MLP), a fundamental paradigm in current artificial intelligence, is widely applied in fields such as computer vision and natural language processing. However, the recently proposed Kolmogorov-Arnold Network (KAN),…

Machine Learning · Computer Science 2024-08-19 Zhuoqin Yang , Jiansong Zhang , Xiaoling Luo , Zheng Lu , Linlin Shen

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

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

Friction modeling plays a crucial role in achieving high-precision motion control in robotic operating systems. Traditional static friction models (such as the Stribeck model) are widely used due to their simple forms; however, they…

Robotics · Computer Science 2025-11-14 Yizheng Wang , Timon Rabczuk , Yinghua Liu

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) as an alternative to multi-layer perceptrons (MLPs) are a recent development demonstrating strong potential for data-driven modeling. This work applies KANs as the backbone of a neural ordinary differential…

Machine Learning · Computer Science 2024-09-23 Benjamin C. Koenig , Suyong Kim , Sili Deng
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