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The Kolmogorov-Arnold Network (KAN) is a new network architecture known for its high accuracy in several tasks such as function fitting and PDE solving. The superior expressive capability of KAN arises from the Kolmogorov-Arnold…

Machine Learning · Computer Science 2024-12-19 Ruichen Qiu , Yibo Miao , Shiwen Wang , Lijia Yu , Yifan Zhu , Xiao-Shan Gao

Kolmogorov-Arnold Networks (KAN) \cite{liu2024kan} were very recently proposed as a potential alternative to the prevalent architectural backbone of many deep learning models, the multi-layer perceptron (MLP). KANs have seen success in…

Machine Learning · Computer Science 2025-02-10 Yixuan Wang , Jonathan W. Siegel , Ziming Liu , Thomas Y. Hou

Recent advancements in both representation learning and function learning have demonstrated substantial promise across diverse domains of artificial intelligence. However, the effective integration of these paradigms poses a significant…

Machine Learning · Computer Science 2024-10-07 Yunhong He , Yifeng Xie , Zhengqing Yuan , Lichao Sun

Inspired by the Kolmogorov-Arnold representation theorem, KANs offer a novel framework for function approximation by replacing traditional neural network weights with learnable univariate functions. This design demonstrates significant…

Machine Learning · Computer Science 2025-06-10 Zhangchi Zhao , Jun Shu , Deyu Meng , Zongben Xu

Kolmogorov-Arnold Networks (KAN) are a new class of neural network architecture representing a promising alternative to the Multilayer Perceptron (MLP), demonstrating improved expressiveness and interpretability. However, KANs suffer from…

Machine Learning · Computer Science 2025-03-04 Cale Coffman , Lizhong Chen

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

In this paper, we compare the performance of Kolmogorov-Arnold Networks (KAN) and Multi-Layer Perceptron (MLP) networks on irregular or noisy functions. We control the number of parameters and the size of the training samples to ensure a…

Machine Learning · Computer Science 2024-08-16 Chen Zeng , Jiahui Wang , Haoran Shen , Qiao Wang

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

Kolmogorov-Arnold Networks (KANs) have inspired numerous works exploring their applications across a wide range of scientific problems, with the potential to replace Multilayer Perceptrons (MLPs). While many KANs are designed using basis…

Machine Learning · Computer Science 2025-03-11 Hoang-Thang Ta , Anh Tran

Kolmogorov-Arnold Networks (KAN) is an emerging neural network architecture in machine learning. It has greatly interested the research community about whether KAN can be a promising alternative of the commonly used Multi-Layer Perceptions…

Machine Learning · Computer Science 2024-09-17 Haihong Guo , Fengxin Li , Jiao Li , Hongyan Liu

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

In recent years, Pretrained Large Models(PLMs) researchers proposed large-small model collaboration frameworks, leveraged easily trainable small models to assist large models, aim to(1) significantly reduce computational resource…

Machine Learning · Computer Science 2025-10-24 Guangyu Dai , Siliang Tang , Yueting Zhuang

The field of scientific machine learning, which originally utilized multilayer perceptrons (MLPs), is increasingly adopting Kolmogorov-Arnold Networks (KANs) for data encoding. This shift is driven by the limitations of MLPs, including poor…

Machine Learning · Computer Science 2025-11-04 Salah A. Faroughi , Farinaz Mostajeran , Amin Hamed Mashhadzadeh , Shirko Faroughi

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

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…

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) 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…

Machine Learning · Computer Science 2025-01-24 Eleonora Poeta , Flavio Giobergia , Eliana Pastor , Tania Cerquitelli , Elena Baralis

The advancement of machine learning and symbolic approaches have underscored their strengths and weaknesses in Natural Language Processing (NLP). While machine learning approaches are powerful in identifying patterns in data, they often…

Computation and Language · Computer Science 2024-03-19 Rrubaa Panchendrarajan , Arkaitz Zubiaga

Due to their effective performance, Convolutional Neural Network (CNN) and Vision Transformer (ViT) architectures have become the standard for solving computer vision tasks. Such architectures require large data sets and rely on convolution…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Jorge Luiz dos Santos Canuto , Linnyer Beatrys Ruiz Aylon , Rodrigo Clemente Thom de Souza

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
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