English
Related papers

Related papers: Smooth Kolmogorov Arnold networks enabling structu…

200 papers

Existing low-light image enhancement methods are difficult to fit the complex nonlinear relationship between normal and low-light images due to uneven illumination and noise effects. The recently proposed Kolmogorov-Arnold networks (KANs)…

Computer Vision and Pattern Recognition · Computer Science 2025-02-07 Aoxiang Ning , Minglong Xue , Jinhong He , Chengyun Song

We propose a Kolmogorov-Arnold Representation-based Hamiltonian Neural Network (KAR-HNN) that replaces the Multilayer Perceptrons (MLPs) with univariate transformations. While Hamiltonian Neural Networks (HNNs) ensure energy conservation by…

Machine Learning · Computer Science 2025-08-28 Zongyu Wu , Ruichen Xu , Luoyao Chen , Georgios Kementzidis , Siyao Wang , Yuefan Deng

We introduce the Kolmogorov-Arnold Network for Dynamics (KANDy) as a zero-depth, wide neural architecture capable of discovering governing equations in chaotic and complex dynamical systems. Building on the foundation of Kolmogorov-Arnold…

Dynamical Systems · Mathematics 2026-03-26 Kevin Slote , Jeremie Fish , Erik Bollt

Kolmogorov Arnold Networks (KANs) represent a new class of neural architectures that replace conventional linear transformations and node-based nonlinearities with spline-based function approximations distributed along network edges.…

Machine Learning · Computer Science 2026-01-30 Kazi Ahmed Asif Fuad , Lizhong Chen

Kolmogorov-Arnold Networks (KANs) have garnered significant attention for their promise of improved parameter efficiency and explainability compared to traditional Deep Neural Networks (DNNs). KANs' key innovation lies in the use of…

Hardware Architecture · Computer Science 2025-12-02 Sohaib Errabii , Olivier Sentieys , Marcello Traiola

This paper presents, for the first time, a framework for Kolmogorov-Arnold Networks (KANs) in power system applications. Inspired by the recently proposed KAN architecture, this paper proposes physics-informed Kolmogorov-Arnold Networks…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Hang Shuai , Fangxing Li

Kolmogorov-Arnold networks (KANs) represent data features by learning the activation functions and demonstrate superior accuracy with fewer parameters, FLOPs, GPU memory usage (Memory), shorter training time (TraT), and testing time (TesT)…

Computer Vision and Pattern Recognition · Computer Science 2026-01-19 Yanheng Wang , Xiaohan Yu , Yongsheng Gao , Jianjun Sha , Jian Wang , Shiyong Yan , Kai Qin , Yonggang Zhang , Lianru Gao

This paper compares Kolmogorov-Arnold Networks (KAN) and Long Short-Term Memory networks (LSTM) for forecasting non-deterministic stock price data, evaluating predictive accuracy versus interpretability trade-offs using Root Mean Square…

Machine Learning · Computer Science 2025-11-25 Tabish Ali Rather , S M Mahmudul Hasan Joy , Nadezda Sukhorukova , Federico Frascoli

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…

Materials Science · Physics 2025-03-04 Yagnik Bandyopadhyay , Harshil Avlani , Houlong L. Zhuang

Multi-Layer Perceptrons (MLPs) rely on pre-defined, fixed activation functions, imposing a static inductive bias that forces the network to approximate complex topologies solely through increased depth and width. Kolmogorov-Arnold Networks…

Machine Learning · Computer Science 2026-03-10 Andrés Ortiz , Nicolás J. Gallego-Molina , Carmen Jiménez-Mesa , Juan M. Górriz , Javier Ramírez

The neurons of Kolmogorov-Arnold Networks (KANs) perform a simple summation motivated by the Kolmogorov-Arnold representation theorem, which asserts that sum is the only fundamental multivariate function. In this work, we investigate the…

Machine Learning · Computer Science 2024-07-31 Mohammed Ghaith Altarabichi

We explore the integration of Kolmogorov Networks (KANs) into molecular dynamics (MD) simulations to improve interatomic potentials. We propose that widely used potentials, such as the Lennard-Jones (LJ) potential, the embedded atom model…

Materials Science · Physics 2024-07-26 Yuki Nagai , Masahiko Okumura

In this research, we propose the first approach for integrating the Kolmogorov-Arnold Network (KAN) with various pre-trained Convolutional Neural Network (CNN) models for remote sensing (RS) scene classification tasks using the EuroSAT…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Minjong Cheon

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

This paper proposes a novel approach for designing Single-Parameterized Kolmogorov-Arnold Networks (SKAN) by utilizing a Single-Parameterized Function (SFunc) constructed from trigonometric functions. Three new SKAN variants are developed:…

Artificial Intelligence · Computer Science 2026-01-22 Zhijie Chen , Xinglin Zhang

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

DreamerV3 is a state-of-the-art online model-based reinforcement learning (MBRL) algorithm known for remarkable sample efficiency. Concurrently, Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-Layer…

Machine Learning · Computer Science 2025-12-09 Chenwei Shi , Xueyu Luan

Pansharpening aims to fuse high-resolution spatial details from panchromatic images with the rich spectral information of multispectral images. Existing deep neural networks for this task typically rely on static activation functions, which…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Haoyu Zhang , Haojing Chen , Zhen Zhong , Liangjian Deng

The curse of dimensionality poses a significant challenge to modern multilayer perceptron-based architectures, often causing performance stagnation and scalability issues. Addressing this limitation typically requires vast amounts of data.…

Machine Learning · Computer Science 2024-11-19 Divesh Basina , Joseph Raj Vishal , Aarya Choudhary , Bharatesh Chakravarthi

This short paper is a fast proof-of-concept that the 3-order B-splines used in Kolmogorov-Arnold Networks (KANs) can be well approximated by Gaussian radial basis functions. Doing so leads to FastKAN, a much faster implementation of KAN…

Machine Learning · Computer Science 2024-05-14 Ziyao Li