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Kolmogorov-Arnold Networks(KANs), as a theoretically efficient neural network architecture, have garnered attention for their potential in capturing complex patterns. However, their application in computer vision remains relatively…

计算机视觉与模式识别 · 计算机科学 2024-11-15 Yueyang Cang , Yu hang liu , Li Shi

In the realm of intelligent education, cognitive diagnosis plays a crucial role in subsequent recommendation tasks attributed to the revealed students' proficiency in knowledge concepts. Although neural network-based neural cognitive…

机器学习 · 计算机科学 2024-05-24 Shangshang Yang , Linrui Qin , Xiaoshan Yu

Kolmogorov-Arnold Networks (KANs) require significantly smaller architectures compared to multilayer perceptron (MLP)-based approaches, while retaining expressive power through spline-based activations. Moving boundary problems are…

数学物理 · 物理学 2026-02-10 Tarus Pande , V M S K Minnikanti , Shyamprasad Karagadde

This study evaluates the generalization performance and representation efficiency (parsimony) of a previously introduced Tensor Basis Kolmogorov-Arnold Network (TBKAN) architecture for data-driven turbulence modeling. The TBKAN framework…

流体动力学 · 物理学 2025-05-27 Nikhila Kalia , Ryley McConkey , Eugene Yee , Fue-Sang Lien

Solving partial differential equations (PDEs) is essential in scientific forecasting and fluid dynamics. Traditional approaches often incur expensive computational costs and trade-offs in efficiency and accuracy. Recent deep neural networks…

流体动力学 · 物理学 2025-08-18 Chunyu Guo , Lucheng Sun , Shilong Li , Zelong Yuan , Chao Wang

The Kolmogorov-Arnold Network (KAN) has recently gained attention as an alternative to traditional multi-layer perceptrons (MLPs), offering improved accuracy and interpretability by employing learnable activation functions on edges. In this…

机器学习 · 计算机科学 2025-01-03 Fangchen Yu , Ruilizhen Hu , Yidong Lin , Yuqi Ma , Zhenghao Huang , Wenye Li

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

Neural network (NN)-based transistor compact modeling has recently emerged as a transformative solution for accelerating device modeling and SPICE circuit simulations. However, conventional NN architectures, despite their widespread…

机器学习 · 计算机科学 2025-03-20 Rodion Novkin , Hussam Amrouch

In this paper, we introduce Wav-KAN, an innovative neural network architecture that leverages the Wavelet Kolmogorov-Arnold Networks (Wav-KAN) framework to enhance interpretability and performance. Traditional multilayer perceptrons (MLPs)…

机器学习 · 计算机科学 2024-05-28 Zavareh Bozorgasl , Hao Chen

The prediction of quantum dynamical responses lies at the heart of modern physics. Yet, modeling these time-dependent behaviors remains a formidable challenge because quantum systems evolve in high-dimensional Hilbert spaces, often…

机器学习 · 计算机科学 2025-09-24 Abhijit Sen , Illya V. Lukin , Kurt Jacobs , Lev Kaplan , Andrii G. Sotnikov , Denys I. Bondar

Transformers stand as the cornerstone of mordern deep learning. Traditionally, these models rely on multi-layer perceptron (MLP) layers to mix the information between channels. In this paper, we introduce the Kolmogorov-Arnold Transformer…

机器学习 · 计算机科学 2024-09-18 Xingyi Yang , Xinchao Wang

Kolmogorov-Arnold Networks (KANs) have recently emerged as a flexible and parameter-efficient alternative to conventional neural networks. Unlike standard architectures that use fixed node-based activations, KANs place learnable functions…

机器学习 · 计算机科学 2025-11-26 Enrique Luna Villagómez , Vladimir Mahalec

Continual learning requires models to train continuously across consecutive tasks without forgetting. Most existing methods utilize linear classifiers, which struggle to maintain a stable classification space while learning new tasks.…

计算机视觉与模式识别 · 计算机科学 2025-03-28 Yusong Hu , Zichen Liang , Fei Yang , Qibin Hou , Xialei Liu , Ming-Ming Cheng

Kolmogorov-Arnold Networks (KANs) have been recently proposed as a machine learning framework that is more interpretable and controllable than the multi-layer perceptron. Various network architectures have been proposed within the KAN…

机器学习 · 计算机科学 2025-02-21 Tatiana Boura , Stasinos Konstantopoulos

Kolmogorov-Arnold Networks (KANs) have gained attention for their potential to outperform Multi-Layer Perceptrons (MLPs) in terms of parameter efficiency and interpretability. Unlike traditional MLPs, KANs use learnable non-linear…

硬件体系结构 · 计算机科学 2026-03-19 Sohaib Errabii , Olivier Sentieys , Marcello Traiola

Kolmogorov-Arnold Networks (KANs) have recently demonstrated promising potential in scientific machine learning, partly due to their capacity for grid adaptation during training. However, existing adaptation strategies rely solely on input…

机器学习 · 计算机科学 2026-04-24 Spyros Rigas , Thanasis Papaioannou , Panagiotis Trakadas , Georgios Alexandridis

To address the issue of interpretability in multilayer perceptrons (MLPs), Kolmogorov-Arnold Networks (KANs) are introduced in 2024. However, optimizing KAN structures is labor-intensive, typically requiring manual intervention and…

神经与进化计算 · 计算机科学 2025-01-30 Quan Long , Bin Wang , Bing Xue , Mengjie Zhang

Inspired by the Kolmogorov-Arnold representation theorem, KANs offer a novel framework for function approximation by replacing traditional neural network weights with learnable univariate functions. This design demonstrates significant…

机器学习 · 计算机科学 2025-06-10 Zhangchi Zhao , Jun Shu , Deyu Meng , Zongben Xu

Kolmogorov-Arnold Networks (KAN) is an emerging neural network architecture in machine learning. It has greatly interested the research community about whether KAN can be a promising alternative of the commonly used Multi-Layer Perceptions…

机器学习 · 计算机科学 2024-09-17 Haihong Guo , Fengxin Li , Jiao Li , Hongyan Liu

Algorithmic speedup of training common neural architectures is made difficult by the lack of structure guaranteed by the function compositions inherent to such networks. In contrast to multilayer perceptrons (MLPs), Kolmogorov-Arnold…

机器学习 · 计算机科学 2026-03-06 Ben S. Southworth , Jonas A. Actor , Graham Harper , Eric C. Cyr