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A new Kolmogorov-Arnold network (KAN) is proposed to approximate potentially irregular functions in high dimensions. We provide error bounds for this approximation, assuming that the Kolmogorov-Arnold expansion functions are sufficiently…

机器学习 · 计算机科学 2026-05-05 Xavier Warin

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…

机器学习 · 计算机科学 2025-07-08 Hanseon Joo , Hayoung Choi , Ook Lee , Minjong Cheon

Recently, a novel model named Kolmogorov-Arnold Networks (KAN) has been proposed with the potential to achieve the functionality of traditional deep neural networks (DNNs) using orders of magnitude fewer parameters by parameterized B-spline…

硬件体系结构 · 计算机科学 2024-09-19 Wei-Hsing Huang , Jianwei Jia , Yuyao Kong , Faaiq Waqar , Tai-Hao Wen , Meng-Fan Chang , Shimeng Yu

Massive number of applications involve data with underlying relationships embedded in non-Euclidean space. Graph neural networks (GNNs) are utilized to extract features by capturing the dependencies within graphs. Despite groundbreaking…

机器学习 · 计算机科学 2024-06-21 Fan Zhang , Xin Zhang

Symbolic discovery of governing equations is a long-standing goal in scientific machine learning, yet a fundamental trade-off persists between interpretability and scalable learning. Classical symbolic regression methods yield explicit…

机器学习 · 计算机科学 2026-03-26 Salah A Faroughi , Farinaz Mostajeran , Amirhossein Arzani , Shirko Faroughi

In this work, we explore the use of a novel neural network architecture, the Kolmogorov-Arnold Networks (KANs) as feature extractors for sensor-based (specifically IMU) Human Activity Recognition (HAR). Where conventional networks perform a…

机器学习 · 计算机科学 2024-06-19 Mengxi Liu , Daniel Geißler , Dominique Nshimyimana , Sizhen Bian , Bo Zhou , Paul Lukowicz

Graph convolutional network (GCN)-based methods have shown strong performance in 3D human pose estimation by leveraging the natural graph structure of the human skeleton. However, their local receptive field limits their ability to capture…

计算机视觉与模式识别 · 计算机科学 2025-11-13 Abu Taib Mohammed Shahjahan , A. Ben Hamza

Hypergraph representation learning has garnered increasing attention across various domains due to its capability to model high-order relationships. Traditional methods often rely on hypergraph neural networks (HNNs) employing message…

机器学习 · 计算机科学 2025-03-18 Xiangfei Fang , Boying Wang , Chengying Huan , Shaonan Ma , Heng Zhang , Chen Zhao

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…

机器学习 · 计算机科学 2025-03-04 Cale Coffman , Lizhong Chen

This paper tests whether Kolmogorov--Arnold Networks (KAN 2.0) are genuinely more noise-robust than Multi-Layer Perceptrons (MLP) and XGBoost for stellar classification (star/galaxy/quasar, 100,000 SDSS DR17 objects). A naive comparison…

天体物理仪器与方法 · 物理学 2026-05-29 Kristian Sestak

A wide range of deep learning-based machine learning techniques are extensively applied to the design of high-entropy alloys (HEAs), yielding numerous valuable insights. Kolmogorov-Arnold Networks (KAN) is a recently developed architecture…

材料科学 · 物理学 2025-03-04 Yagnik Bandyopadhyay , Harshil Avlani , Houlong L. Zhuang

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…

机器学习 · 计算机科学 2025-02-21 Tatiana Boura , Stasinos Konstantopoulos

Recent advancements in neural network design have given rise to the development of Kolmogorov-Arnold Networks (KANs), which enhance speed, interpretability, and precision. This paper presents the Fractional Kolmogorov-Arnold Network (fKAN),…

机器学习 · 计算机科学 2024-06-12 Alireza Afzal Aghaei

Kolmogorov-Arnold Networks (KANs) have recently emerged as a novel approach to function approximation, demonstrating remarkable potential in various domains. Despite their theoretical promise, the robustness of KANs under adversarial…

计算机视觉与模式识别 · 计算机科学 2025-03-14 Tal Alter , Raz Lapid , Moshe Sipper

Recent advancements in deep learning for image classification predominantly rely on convolutional neural networks (CNNs) or Transformer-based architectures. However, these models face notable challenges in medical imaging, particularly in…

计算机视觉与模式识别 · 计算机科学 2025-02-26 Zhuoqin Yang , Jiansong Zhang , Xiaoling Luo , Zheng Lu , Linlin Shen

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…

计算机视觉与模式识别 · 计算机科学 2024-07-02 Ivan Drokin

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…

机器学习 · 计算机科学 2025-01-17 Liangwewi Nathan Zheng , Wei Emma Zhang , Lin Yue , Miao Xu , Olaf Maennel , Weitong Chen

Non-Terrestrial Networks (NTNs) are becoming a critical component of modern communication infrastructures, especially with the advent of Low Earth Orbit (LEO) satellite systems. Traditional centralized learning approaches face major…

网络与互联网体系结构 · 计算机科学 2025-03-04 Engin Zeydan , Cristian J. Vaca-Rubio , Luis Blanco , Roberto Pereira , Marius Caus , Kapal Dev

Kolmogorov-Arnold Networks (KANs) promise higher expressive capability and stronger interpretability than Multi-Layer Perceptron, particularly in the domain of AI for Science. However, practical adoption has been hindered by low GPU…

分布式、并行与集群计算 · 计算机科学 2025-11-20 Mingkun Yu , Heming Zhong , Dan Huang , Yutong Lu , Jiazhi Jiang

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,…

机器学习 · 计算机科学 2025-08-18 Lexiang Hu , Yisen Wang , Zhouchen Lin