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Kolmogorov-Arnold Network (KAN) has attracted growing interest for its strong function approximation capability. In our previous work, KAN and its variants were explored in score regression for blind image quality assessment (BIQA).…

Image and Video Processing · Electrical Eng. & Systems 2025-05-29 Ze Chen , Shaode Yu

Recent work has established an alternative to traditional multi-layer perceptron neural networks in the form of Kolmogorov-Arnold Networks (KAN). The general KAN framework uses learnable activation functions on the edges of the…

Machine Learning · Computer Science 2025-01-28 Eric A. F. Reinhardt , P. R. Dinesh , Sergei Gleyzer

Small-angle scattering (SAS) techniques are indispensable tools for probing the structure of soft materials. However, traditional analytical models often face limitations in structural inversion for complex systems, primarily due to the…

Kolmogorov-Arnold Networks (KANs) have seen great success in scientific domains thanks to spline activation functions, becoming an alternative to Multi-Layer Perceptrons (MLPs). However, spline functions may not respect symmetry in tasks,…

Machine Learning · Computer Science 2025-08-18 Lexiang Hu , Yisen Wang , Zhouchen Lin

This study explores the application of Kolmogorov-Arnold Networks (KANs) in predicting nuclear binding energies, leveraging their ability to decompose complex multi-parameter systems into simpler univariate functions. By utilizing data from…

Nuclear Theory · Physics 2025-02-10 Hao Liu , Jin Lei , Zhongzhou Ren

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…

Computational Engineering, Finance, and Science · Computer Science 2026-05-07 Amir Noorizadegan , Sifan Wang

In this paper, we introduce BSRBF-KAN, a Kolmogorov Arnold Network (KAN) that combines B-splines and radial basis functions (RBFs) to fit input vectors during data training. We perform experiments with BSRBF-KAN, multi-layer perception…

Computation and Language · Computer Science 2024-10-31 Hoang-Thang Ta

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…

Machine Learning · Computer Science 2025-09-24 Abhijit Sen , Illya V. Lukin , Kurt Jacobs , Lev Kaplan , Andrii G. Sotnikov , Denys I. Bondar

The highly nonlinear degradation process, complex physical interactions, and various sources of uncertainty render single-image Super-resolution (SR) a particularly challenging task. Existing interpretable SR approaches, whether based on…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Chenyu Li , Danfeng Hong , Bing Zhang , Zhaojie Pan , Jocelyn Chanussot

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…

Mathematical Physics · Physics 2026-02-10 Tarus Pande , V M S K Minnikanti , Shyamprasad Karagadde

In recent years, the evolution of machine learning techniques has significantly impacted the field of intrusion detection, particularly within the context of the Internet of Things (IoT). As IoT networks expand, the need for robust security…

Cryptography and Security · Computer Science 2024-08-30 Amar Amouri , Mohamad Mahmoud Al Rahhal , Yakoub Bazi , Ismail Butun , Imad Mahgoub

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…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Minjong Cheon

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…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Seyd Teymoor Seydi , Zavareh Bozorgasl , Hao Chen

Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-layer Perceptrons (MLPs) due to their superior function-fitting abilities in data-driven modeling. In this paper, we propose a novel framework, DAE-KAN, for…

Machine Learning · Computer Science 2025-04-24 Kai Luo , Juan Tang , Mingchao Cai , Xiaoqing Zeng , Manqi Xie , Ming Yan

Physics-Informed Neural Networks (PINNs) have emerged as a promising method for solving partial differential equations (PDEs) in scientific computing. While PINNs typically use multilayer perceptrons (MLPs) as their underlying architecture,…

Machine Learning · Computer Science 2024-11-12 Bruno Jacob , Amanda A. Howard , Panos Stinis

Symbolic discovery of governing equations is a long-standing goal in scientific machine learning, yet a fundamental trade-off persists between interpretability and scalable learning. Classical symbolic regression methods yield explicit…

Machine Learning · Computer Science 2026-03-26 Salah A Faroughi , Farinaz Mostajeran , Amirhossein Arzani , Shirko Faroughi

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…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Hang Shuai , Fangxing Li

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…

Machine Learning · Computer Science 2024-05-24 Shangshang Yang , Linrui Qin , Xiaoshan Yu

Kolmogorov-Arnold Networks or KANs have shown the ability to outperform classical Deep Neural Networks, while using far fewer trainable parameters for regression problems on scientific domains. Even more powerful has been their…

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…

Machine Learning · Computer Science 2025-10-21 Cristian J. Vaca-Rubio , Roberto Pereira , Luis Blanco , Engin Zeydan , Màrius Caus
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