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This work introduces Probabilistic Kolmogorov-Arnold Network (P-KAN), a novel probabilistic extension of Kolmogorov-Arnold Networks (KANs) for time series forecasting. By replacing scalar weights with spline-based functional connections and…

机器学习 · 计算机科学 2025-10-21 Cristian J. Vaca-Rubio , Roberto Pereira , Luis Blanco , Engin Zeydan , Màrius Caus

Federated learning (FL), widely used in privacy-critical applications, suffers from limited interpretability, whereas Kolmogorov-Arnold Networks (KAN) address this limitation via learnable spline functions. However, existing FL studies…

机器学习 · 计算机科学 2025-11-04 Seunghun Yu , Youngjoon Lee , Jinu Gong , Joonhyuk Kang

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

Low-latency, resource-efficient neural network inference on FPGAs is essential for applications demanding real-time capability and low power. Lookup table (LUT)-based neural networks are a common solution, combining strong representational…

硬件体系结构 · 计算机科学 2026-02-19 Duc Hoang , Aarush Gupta , Philip Harris

Physics-Informed Neural Networks (PINNs) have become a popular and powerful framework for solving partial differential equations (PDEs), leveraging neural networks to approximate solutions while embedding PDE constraints, boundary…

数值分析 · 数学 2026-02-03 Zijuan Xin , Chenyao Wang , Feng Shi , Yizhong Sun

Kolmogorov--Arnold Networks (KANs) have recently attracted attention as edge-based neural architectures in which learnable univariate functions replace conventional fixed activation functions. A key source of flexibility in KANs is the…

计算工程、金融与科学 · 计算机科学 2026-05-07 Amir Noorizadegan , Sifan Wang

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.…

机器学习 · 计算机科学 2025-01-22 Maciej Krzywda , Mariusz Wermiński , Szymon Łukasik , Amir H. Gandomi

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…

机器学习 · 计算机科学 2025-09-18 Youngjoon Lee , Jinu Gong , Joonhyuk Kang

We propose a novel approach that enhances multivariate function approximation using learnable path signatures and Kolmogorov-Arnold networks (KANs). We enhance the learning capabilities of these networks by weighting the values obtained by…

机器学习 · 计算机科学 2024-12-10 Hugo Inzirillo , Remi Genet

Hyperspectral image classification is a crucial but challenging task due to the high dimensionality and complex spatial-spectral correlations inherent in hyperspectral data. This paper employs Wavelet-based Kolmogorov-Arnold Network…

计算机视觉与模式识别 · 计算机科学 2024-10-10 Seyd Teymoor Seydi , Zavareh Bozorgasl , Hao Chen

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)…

计算机视觉与模式识别 · 计算机科学 2025-02-07 Aoxiang Ning , Minglong Xue , Jinhong He , Chengyun Song

Learned activation functions in models like Kolmogorov-Arnold Networks (KANs) outperform fixed-activation architectures in terms of accuracy and interpretability; however, their computational complexity poses critical challenges for…

硬件体系结构 · 计算机科学 2025-08-26 Mengyuan Yin , Benjamin Chen Ming Choong , Chuping Qu , Rick Siow Mong Goh , Weng-Fai Wong , Tao Luo

Gating mechanisms are ubiquitous, yet a complementary question in feed-forward networks remains under-explored: how to introduce frequency-rich expressivity without sacrificing stability and scalability? This tension is exposed by…

机器学习 · 计算机科学 2026-02-10 Jusheng Zhang , Yijia Fan , Kaitong Cai , Jing Yang , Yongsen Zheng , Kwok-Yan Lam , Liang Lin , Keze Wang

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…

系统与控制 · 电气工程与系统科学 2025-06-05 Hang Shuai , Fangxing Li

We analyze the universal approximation property of Kolmogorov-Arnold Networks (KANs) in terms of their edge functions. If these functions are all affine, then universality clearly fails. How many non-affine functions are needed, in addition…

机器学习 · 计算机科学 2026-05-19 Vugar Ismailov

We introduce cumulative polynomial Kolmogorov-Arnold networks (CP-KAN), a neural architecture combining Chebyshev polynomial basis functions and quadratic unconstrained binary optimization (QUBO). Our primary contribution involves…

机器学习 · 计算机科学 2025-05-22 Mathew Vanherreweghe , Lirandë Pira , Patrick Rebentrost

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

Data science has emerged as fourth paradigm of scientific exploration. However many machine learning models operate as black boxes offering limited insight into the reasoning behind their predictions. This lack of transparency is one of the…

机器学习 · 计算机科学 2025-01-31 Sudhanva Kulkarni

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

Kolmogorov Arnold Networks (KANs), built upon the Kolmogorov Arnold representation theorem (KAR), have demonstrated promising capabilities in expressing complex functions with fewer neurons. This is achieved by implementing learnable…