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Kolmogorov-Arnold Networks (KAN) models were recently proposed and claimed to provide improved parameter scaling and interpretability compared to conventional multilayer perceptron (MLP) models. Inspired by the KAN architecture, we propose…

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

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

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 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

U-Net has become a cornerstone in various visual applications such as image segmentation and diffusion probability models. While numerous innovative designs and improvements have been introduced by incorporating transformers or MLPs, the…

Image and Video Processing · Electrical Eng. & Systems 2024-08-23 Chenxin Li , Xinyu Liu , Wuyang Li , Cheng Wang , Hengyu Liu , Yifan Liu , Zhen Chen , Yixuan Yuan

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

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

This study conducts a comprehensive comparison of four neural network architectures: Convolutional Neural Network, Capsule Network, Convolutional Kolmogorov-Arnold Network, and the newly proposed Capsule-Convolutional Kolmogorov-Arnold…

Image and Video Processing · Electrical Eng. & Systems 2025-08-08 Laura Pituková , Peter Sinčák , László József Kovács , Peng Wang

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

Attention mechanisms have become a key module in modern vision backbones due to their ability to model long-range dependencies. However, their quadratic complexity in sequence length and the difficulty of interpreting attention weights…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Zhuoqin Yang , Jiansong Zhang , Xiaoling Luo , Xu Wu , Zheng Lu , Linlin Shen

Image-to-Image translation in Generative Artificial Intelligence (Generative AI) has been a central focus of research, with applications spanning healthcare, remote sensing, physics, chemistry, photography, and more. Among the numerous…

Computer Vision and Pattern Recognition · Computer Science 2024-08-16 Arpan Mahara , Naphtali D. Rishe , Liangdong Deng

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) 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

This paper studies the problem of designing compact binary architectures for vision multi-layer perceptrons (MLPs). We provide extensive analysis on the difficulty of binarizing vision MLPs and find that previous binarization methods…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Yixing Xu , Xinghao Chen , Yunhe Wang

In the fields of computational mathematics and artificial intelligence, the need for precise data modeling is crucial, especially for predictive machine learning tasks. This paper explores further XNet, a novel algorithm that employs the…

Machine Learning · Computer Science 2024-10-04 Xin Li , Zhihong Jeff Xia , Xiaotao Zheng

The emergence of Kolmogorov-Arnold Networks (KANs) has sparked significant interest and debate within the scientific community. This paper explores the application of KANs in the domain of computer vision (CV). We examine the convolutional…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Ivan Drokin

Recently, visual Transformer (ViT) and its following works abandon the convolution and exploit the self-attention operation, attaining a comparable or even higher accuracy than CNNs. More recently, MLP-Mixer abandons both the convolution…

Computer Vision and Pattern Recognition · Computer Science 2021-06-24 Tan Yu , Xu Li , Yunfeng Cai , Mingming Sun , Ping Li

Federated Learning (FL) enables model training across decentralized devices without sharing raw data, thereby preserving privacy in sensitive domains like healthcare. In this paper, we evaluate Kolmogorov-Arnold Networks (KAN) architectures…

Machine Learning · Computer Science 2025-09-18 Youngjoon Lee , Jinu Gong , Joonhyuk Kang

Federated Kolmogorov-Arnold Networks (F-KANs) have already been proposed, but their assessment is at an initial stage. We present a comparison between KANs (using B-splines and Radial Basis Functions as activation functions) and Multi-…

Machine Learning · Computer Science 2024-10-14 Arthur Mendonça Sasse , Claudio Miceli de Farias