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Accurate approximation of complex nonlinear functions is a fundamental challenge across many scientific and engineering domains. Traditional neural network architectures, such as Multi-Layer Perceptrons (MLPs), often struggle to efficiently…

机器学习 · 计算机科学 2024-06-17 Sidharth SS , Keerthana AR , Gokul R , Anas KP

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…

计算机视觉与模式识别 · 计算机科学 2024-09-30 Alessandro Cacciatore , Valerio Morelli , Federica Paganica , Emanuele Frontoni , Lucia Migliorelli , Daniele Berardini

The application of machine learning methodologies for predicting properties within materials science has garnered significant attention. Among recent advancements, Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to…

计算物理 · 物理学 2024-09-06 Rui Wang , Hongyu Yu , Yang Zhong , Hongjun Xiang

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…

信号处理 · 电气工程与系统科学 2025-10-28 Cristian J. Vaca-Rubio , Luis Blanco , Roberto Pereira , Màrius Caus

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…

机器学习 · 计算机科学 2025-09-16 Yuntian Hou , Tianrui Ji , Di Zhang , Angelos Stefanidis

Kolmogorov-Arnold Networks (KANs) introduce a paradigm of neural modeling that implements learnable functions on the edges of the networks, diverging from the traditional node-centric activations in neural networks. This work assesses the…

计算机视觉与模式识别 · 计算机科学 2024-10-21 Basim Azam , Naveed Akhtar

Inspired by the Kolmogorov-Arnold representation theorem and Kurkova's principle of using approximate representations, we propose the Kurkova-Kolmogorov-Arnold Network (KKAN), a new two-block architecture that combines robust multi-layer…

机器学习 · 计算机科学 2024-12-24 Juan Diego Toscano , Li-Lian Wang , George Em Karniadakis

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…

机器学习 · 计算机科学 2024-09-17 Farhad Pourkamali-Anaraki

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…

机器学习 · 计算机科学 2025-02-10 Yixuan Wang , Jonathan W. Siegel , Ziming Liu , Thomas Y. Hou

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…

机器学习 · 计算机科学 2025-06-09 Shriyank Somvanshi , Syed Aaqib Javed , Md Monzurul Islam , Diwas Pandit , Subasish Das

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…

In the realm of deep learning, the Kolmogorov-Arnold Network (KAN) has emerged as a potential alternative to multilayer projections (MLPs). However, its applicability to vision tasks has not been extensively validated. In our study, we…

计算机视觉与模式识别 · 计算机科学 2024-06-24 Minjong Cheon

We introduce Jacobi-KAN-DGCNN, a framework that integrates Dynamic Graph Convolutional Neural Network (DGCNN) with Jacobi Kolmogorov-Arnold Networks (KAN) for the classification of three-dimensional point clouds. This method replaces…

机器学习 · 计算机科学 2025-06-10 Hanaa El Afia , Said Ohamouddou , Raddouane Chiheb , Abdellatif El Afia

Kolmogorov--Arnold Networks (KANs), a recently proposed neural network architecture, have gained significant attention in the deep learning community, due to their potential as a viable alternative to multi-layer perceptrons (MLPs) and…

机器学习 · 计算机科学 2024-10-11 Yihang Gao , Vincent Y. F. Tan

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…

机器学习 · 计算机科学 2026-01-16 Aradhya Gaonkar , Nihal Jain , Vignesh Chougule , Nikhil Deshpande , Sneha Varur , Channabasappa Muttal

By utilising their adaptive activation functions, Kolmogorov-Arnold Networks (KANs) can be applied in a novel way for the diverse machine learning tasks, including cyber threat detection. KANs substitute conventional linear weights with…

密码学与安全 · 计算机科学 2026-04-01 Mohammed Hassanin

Convolutional Neural Networks (CNNs) and vision transformers (ViTs) have shown excellent capability in complex hyperspectral image (HSI) classification. However, these models require a significant number of training data and are…

计算机视觉与模式识别 · 计算机科学 2024-06-25 Ali Jamali , Swalpa Kumar Roy , Danfeng Hong , Bing Lu , Pedram Ghamisi

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…

机器学习 · 计算机科学 2024-11-12 Engin Zeydan , Cristian J. Vaca-Rubio , Luis Blanco , Roberto Pereira , Marius Caus , Abdullah Aydeger

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

Graph neural networks (GNNs), as the de-facto model class for representation learning on graphs, are built upon the multi-layer perceptrons (MLP) architecture with additional message passing layers to allow features to flow across nodes.…

机器学习 · 计算机科学 2023-08-07 Chenxiao Yang , Qitian Wu , Jiahua Wang , Junchi Yan