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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

Kolmogorov-Arnold Networks (KANs) have shown potential as an alternative to Multi-Layer Perceptrons (MLPs) in neural networks, providing universal function approximation with fewer parameters and reduced memory usage. In this paper, we…

Efforts to improve Kolmogorov--Arnold networks (KANs) with architectural enhancements have been stymied by the complexity those enhancements bring, undermining the interpretability that makes KANs attractive in the first place. Here we…

机器学习 · 计算机科学 2026-04-22 James Bagrow , Josh Bongard

The present paper introduces concurrency-driven enhancements to the training algorithm for the Kolmogorov-Arnold networks (KANs) that is based on the Newton-Kaczmarz (NK) method. Prior research shows that KANs trained using the NK-based…

机器学习 · 计算机科学 2026-03-30 Andrew Polar , Michael Poluektov

Kolmogorov-Arnold Networks (KANs) have recently emerged as a compelling alternative to multilayer perceptrons, offering enhanced interpretability via functional decomposition. However, existing KAN architectures, including spline-,…

机器学习 · 计算机科学 2026-02-19 Sidharth S. Menon , Ameya D. Jagtap

Kolmogorov-Arnold Networks (KANs) relocate learnable nonlinearities from nodes to edges, demonstrating remarkable capabilities in scientific machine learning and interpretable modeling. However, current KAN implementations suffer from…

神经与进化计算 · 计算机科学 2025-09-25 Alastair Poole , Stig McArthur , Saravan Kumar

Artificial Neural Networks (ANNs) have significantly advanced various fields by effectively recognizing patterns and solving complex problems. Despite these advancements, their interpretability remains a critical challenge, especially in…

机器学习 · 计算机科学 2025-11-24 Alejandro Polo-Molina , David Alfaya , Jose Portela

Multi-Layer Perceptrons (MLPs) have become one of the fundamental architectural component in point cloud analysis due to its effective feature learning mechanism. However, when processing complex geometric structures in point clouds, MLPs'…

计算机视觉与模式识别 · 计算机科学 2025-10-28 Yan Shi , Qingdong He , Yijun Liu , Xiaoyu Liu , Jingyong Su

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

High-Frequency trading (HFT) environments are characterised by large volumes of limit order book (LOB) data, which is notoriously noisy and non-linear. Alpha decay represents a significant challenge, with traditional models such as DeepLOB…

机器学习 · 计算机科学 2026-01-07 Ahmad Makinde

Unlike MLPs, Kolmogorov-Arnold Networks (KANs) expose explicit learnable edge functions on every connection, enabling mechanistic explanation in time-series forecasting. This paper introduces Temporal Functional Circuits, a framework that…

机器学习 · 计算机科学 2026-05-08 Naveen Mysore

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

In this paper, we introduce FC-KAN, a Kolmogorov-Arnold Network (KAN) that leverages combinations of popular mathematical functions such as B-splines, wavelets, and radial basis functions on low-dimensional data through element-wise…

机器学习 · 计算机科学 2026-03-17 Hoang-Thang Ta , Duy-Quy Thai , Abu Bakar Siddiqur Rahman , Grigori Sidorov , Alexander Gelbukh

Kolmogorov-Arnold Networks (KANs) are emerging as a powerful framework for interpretable and efficient system identification in dynamic systems. By leveraging the Kolmogorov-Arnold representation theorem, KANs enable function approximation…

机器学习 · 计算机科学 2025-06-13 Nart Gashi , Panagiotis Kakosimos , George Papafotiou

Weather forecasting is crucial for managing risks and economic planning, particularly in tropical Africa, where extreme events severely impact livelihoods. Yet, existing forecasting methods often struggle with the region's complex,…

机器学习 · 计算机科学 2025-05-30 Ange-Clement Akazan , Verlon Roel Mbingui , Gnankan Landry Regis N'guessan , Issa Karambal

The development of Kolmogorov-Arnold networks (KANs) marks a significant shift from traditional multi-layer perceptrons in deep learning. Initially, KANs employed B-spline curves as their primary basis function, but their inherent…

机器学习 · 计算机科学 2024-06-21 Alireza Afzal Aghaei

In the fields of computational mathematics and artificial intelligence, the need for precise data modeling is crucial, especially for predictive machine learning tasks. This paper explores further XNet, a novel algorithm that employs the…

机器学习 · 计算机科学 2024-10-04 Xin Li , Zhihong Jeff Xia , Xiaotao Zheng

Kolmogorov-Arnold Network (KAN) is a novel multi-layer neuromorphic network. Many groups worldwide have studied this network, including image processing, time series analysis, solving physical problems, and practical applications such as…

量子物理 · 物理学 2025-06-05 Hikaru Wakaura , Rahmat Mulyawan , Andriyan B. Suksmono

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

Accurate prediction of flow delay is essential for optimizing and managing modern communication networks. We investigate three levels of modeling for this task. First, we implement a heterogeneous GNN with attention-based message passing,…

机器学习 · 计算机科学 2026-02-17 Sami Marouani , Kamal Singh , Baptiste Jeudy , Amaury Habrard