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Multilayer Perceptron (MLP), as a simple yet powerful model, continues to be widely used in classification and regression tasks. However, traditional MLPs often struggle to efficiently capture nonlinear relationships in load data when…

机器学习 · 计算机科学 2025-05-13 Yizhou Ma , Zhuoqin Yang , Luis-Daniel Ibáñez

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) as an alternative to multi-layer perceptrons (MLPs) are a recent development demonstrating strong potential for data-driven modeling. This work applies KANs as the backbone of a neural ordinary differential…

机器学习 · 计算机科学 2024-09-23 Benjamin C. Koenig , Suyong Kim , Sili Deng

Kolmogorov-Arnold Network (KAN) is a network structure recently proposed by Liu et al. (2024) that offers improved interpretability and a more parsimonious design in many science-oriented tasks compared to multi-layer perceptrons. This work…

机器学习 · 计算机科学 2024-12-05 Xianyang Zhang , Huijuan Zhou

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

Nuclear mass prediction is one of the core issues in nuclear physics research, yet it faces the challenge of small-sample datasets with high complexity. This study introduces the Kolmogorov-Arnold Network (KAN) into the refinement of…

核理论 · 物理学 2026-03-17 Yanhua Lu , Tianshuai Shang , Pengxiang Du , Jian Li , Haozhao Liang

Effective molecular representation learning is crucial for advancing molecular property prediction and drug design. Mainstream molecular representation learning approaches are based on Graph Neural Networks (GNNs). However, these approaches…

机器学习 · 计算机科学 2024-11-12 Ruifeng Li , Mingqian Li , Wei Liu , Hongyang Chen

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

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…

计算机视觉与模式识别 · 计算机科学 2026-03-17 Haoyu Zhang , Haojing Chen , Zhen Zhong , Liangjian Deng

High-dimensional linear mappings, or linear layers, dominate both the parameter count and the computational cost of most modern deep-learning models. We introduce a general-purpose drop-in replacement, lookup multivariate Kolmogorov-Arnold…

机器学习 · 计算机科学 2025-10-20 Sergey Pozdnyakov , Philippe Schwaller

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

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…

计算机视觉与模式识别 · 计算机科学 2024-06-04 Minjong Cheon

Interpreting complex datasets remains a major challenge for scientists, particularly due to high dimensionality and collinearity among variables. We introduce a novel application of Kolmogorov-Arnold Networks (KANs) to enhance…

机器学习 · 计算机科学 2025-12-19 Luis A. De la Fuente , Hernan A. Moreno , Laura V. Alvarez , Hoshin V. Gupta

The recently proposed Kolmogorov-Arnold network (KAN) is a promising alternative to multi-layer perceptrons (MLPs) for data-driven modeling. While original KAN layers were only capable of representing the addition operator, the…

机器学习 · 计算机科学 2025-07-28 Benjamin C. Koenig , Suyong Kim , Sili Deng

Synthetic Aperture Radar (SAR) image recognition is vital for disaster monitoring, military reconnaissance, and ocean observation. However, large SAR image sizes hinder deep learning deployment on resource-constrained edge devices, and…

计算机视觉与模式识别 · 计算机科学 2026-04-06 Pan Yi , Weijie Li , Xiaodong Chen , Jiehua Zhang , Li Liu , Yongxiang Liu

Photonic neural networks promise ultrafast inference, yet most architectures rely on linear optical meshes with electronic nonlinearities, reintroducing optical-electrical-optical bottlenecks. Here we introduce small-scale photonic…

光学 · 物理学 2026-05-19 Luca Nogueira Calçado , Sergei K. Turitsyn , Egor Manuylovich

As key models in geometric deep learning, graph neural networks have demonstrated enormous power in molecular data analysis. Recently, a specially-designed learning scheme, known as Kolmogorov-Arnold Network (KAN), shows unique potential…

机器学习 · 计算机科学 2024-12-19 Longlong Li , Yipeng Zhang , Guanghui Wang , Kelin Xia

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…

机器学习 · 计算机科学 2025-09-15 Marco Andrea Bühler , Gonzalo Guillén-Gosálbez

Kolmogorov-Arnold Networks (KANs) offer a promising path toward interpretable machine learning: their learnable activations can be studied individually, while collectively fitting complex data accurately. In practice, however, trained…

机器学习 · 计算机科学 2025-12-10 James Bagrow , Josh Bongard

Symbolic neural networks, such as Kolmogorov-Arnold Networks (KAN), offer a promising approach for integrating prior knowledge with data-driven methods, making them valuable for addressing inverse problems in scientific and engineering…

机器学习 · 计算机科学 2024-11-05 Xia Chen , Guoquan Lv , Xinwei Zhuang , Carlos Duarte , Stefano Schiavon , Philipp Geyer