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相关论文: KAN versus MLP on Irregular or Noisy Functions

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Kolmogorov-Arnold Networks (KAN) models were recently proposed and claimed to provide improved parameter scaling and interpretability compared to conventional multilayer perceptron (MLP) models. Inspired by the KAN architecture, we propose…

Recent advancements in Lyapunov-based Deep Neural Networks (Lb-DNNs) have demonstrated improved performance over shallow NNs and traditional adaptive control for nonlinear systems with uncertain dynamics. Existing Lb-DNNs rely on…

系统与控制 · 电气工程与系统科学 2025-12-29 Xuehui Shen , Wenqian Xue , Yixuan Wang , Warren E. Dixon

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

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…

机器学习 · 计算机科学 2025-11-25 Tabish Ali Rather , S M Mahmudul Hasan Joy , Nadezda Sukhorukova , Federico Frascoli

Kolmogorov-Arnold networks (KANs) have attracted attention recently as an alternative to multilayer perceptrons (MLPs) for scientific machine learning. However, KANs can be expensive to train, even for relatively small networks. Inspired by…

机器学习 · 计算机科学 2025-11-18 Amanda A. Howard , Bruno Jacob , Sarah Helfert , Alexander Heinlein , Panos Stinis

Massive number of applications involve data with underlying relationships embedded in non-Euclidean space. Graph neural networks (GNNs) are utilized to extract features by capturing the dependencies within graphs. Despite groundbreaking…

机器学习 · 计算机科学 2024-06-21 Fan Zhang , Xin Zhang

Kolmogorov-Arnold Networks (KANs) have recently emerged as a powerful alternative to traditional multilayer perceptrons. However, their reliance on predefined, bounded grids restricts their ability to approximate functions on unbounded…

机器学习 · 计算机科学 2025-10-10 Alireza Moradzadeh , Srimukh Prasad Veccham , Lukasz Wawrzyniak , Miles Macklin , Saee G. Paliwal

Kolmogorov-Arnold Neural Networks (KANs) have gained significant attention in the machine learning community. However, their implementation often suffers from poor training stability and heavy trainable parameter. Furthermore, there is…

机器学习 · 计算机科学 2025-01-17 Liangwewi Nathan Zheng , Wei Emma Zhang , Lin Yue , Miao Xu , Olaf Maennel , Weitong Chen

Kolmogorov-Arnold Networks (KANs) have recently emerged as a powerful architecture for various machine learning applications. However, their unique structure raises significant concerns regarding their computational overhead. Existing…

机器学习 · 计算机科学 2026-04-07 Bilal Khalid , Pedro Freire , Sergei K. Turitsyn , Jaroslaw E. Prilepsky

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…

机器学习 · 计算机科学 2024-07-31 Mohammed Ghaith Altarabichi

Predictive modeling on web-scale tabular data with billions of instances and hundreds of heterogeneous numerical features faces significant scalability challenges. These features exhibit anisotropy, heavy-tailed distributions, and…

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

AI for partial differential equations (PDEs) has garnered significant attention, particularly with the emergence of Physics-informed neural networks (PINNs). The recent advent of Kolmogorov-Arnold Network (KAN) indicates that there is…

Kolmogorov-Arnold Networks (KANs) are a recently introduced neural architecture that replace fixed nonlinearities with trainable activation functions, offering enhanced flexibility and interpretability. While KANs have been applied…

机器学习 · 计算机科学 2026-03-31 Spyros Rigas , Dhruv Verma , Georgios Alexandridis , Yixuan Wang

Deep-learning models such as Convolutional Neural Networks (CNN) and Long Short-Term Memory (LSTM) have been successfully used for process-mining tasks. They have achieved better performance for different predictive tasks than traditional…

机器学习 · 计算机科学 2021-05-04 Ishwar Venugopal , Jessica Töllich , Michael Fairbank , Ansgar Scherp

To address the challenge of tractability for optimizing mathematical models in science and engineering, surrogate models are often employed. Recently, a new class of machine learning models named Kolmogorov Arnold Networks (KANs) have been…

最优化与控制 · 数学 2025-03-05 Tanuj Karia , Giacomo Lastrucci , Artur M. Schweidtmann

Despite their immense success, deep convolutional neural networks (CNNs) can be difficult to optimize and costly to train due to hundreds of layers within the network depth. Conventional convolutional operations are fundamentally limited by…

计算机视觉与模式识别 · 计算机科学 2025-11-07 Ray Congrui Yu , Sherry Wu , Jiang Gui

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

Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to traditional Multi-Layer Perceptrons (MLPs), offering enhanced interpretability and a solid mathematical foundation. However, their parameter efficiency remains a…

机器学习 · 计算机科学 2025-10-09 Di Zhang

The Kolmogorov-Arnold Network (KAN) is a novel multi-layer network model recognized for its efficiency in neuromorphic computing, where synapses between neurons are trained linearly. Computations in KAN are performed by generating a…

量子物理 · 物理学 2025-12-19 Hikaru Wakaura , Rahmat Mulyawan , Andriyan B. Suksmono