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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…

系统与控制 · 电气工程与系统科学 2025-06-05 Hang Shuai , Fangxing Li

Physics-informed neural networks have proven to be a powerful tool for solving differential equations, leveraging the principles of physics to inform the learning process. However, traditional deep neural networks often face challenges in…

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

Optimizing maritime operations, particularly fuel consumption for vessels, is crucial, considering its significant share in global trade. As fuel consumption is closely related to the shaft power of a vessel, predicting shaft power…

机器学习 · 计算机科学 2026-03-17 Dogan Altan , Hamza Haruna Mohammed , Glenn Terje Lines , Dusica Marijan , Arnbjørn Maressa

Unmanned aerial vehicle (UAV) communications demand accurate yet interpretable air-to-ground (A2G) channel models that can adapt to nonstationary propagation environments. While deterministic models offer interpretability and deep learning…

机器学习 · 计算机科学 2026-01-06 Kürşat Tekbıyık , Güneş Karabulut Kurt , Antoine Lesage-Landry

Accurate prediction of main engine power is essential for vessel performance optimization, fuel efficiency, and compliance with emission regulations. Conventional machine learning approaches, such as Support Vector Machines, variants of…

机器学习 · 计算机科学 2026-02-23 Orfeas Bourchas , George Papalambrou

We present a novel approach to predicting the pressure and flow rate of flexible electrohydrodynamic pumps using the Kolmogorov-Arnold Network. Inspired by the Kolmogorov-Arnold representation theorem, KAN replaces fixed activation…

机器学习 · 计算机科学 2024-12-31 Yanhong Peng , Yuxin Wang , Fangchao Hu , Miao He , Zebing Mao , Xia Huang , Jun Ding

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

Reinforcement learning (RL) has been increasingly applied to network control problems, such as load balancing. However, existing RL approaches often suffer from lack of interpretability and difficulty in extracting controller equations. In…

机器学习 · 计算机科学 2025-05-21 Kamal Singh , Sami Marouani , Ahmad Al Sheikh , Pham Tran Anh Quang , Amaury Habrard

Machine learning for scientific discovery is increasingly becoming popular because of its ability to extract and recognize the nonlinear characteristics from the data. The black-box nature of deep learning methods poses difficulties in…

计算物理 · 物理学 2024-11-19 Ashish Pal , Satish Nagarajaiah

Characterizing crystalline energy landscapes is essential to predicting thermodynamic stability, electronic structure, and functional behavior. While machine learning (ML) enables rapid property predictions, the "black-box" nature of most…

无序系统与神经网络 · 物理学 2026-04-07 Gen Zu , Ning Mao , Claudia Felser , Yang Zhang

Kolmogorov-Arnold Networks (KANs) have gained attention as an alternative to traditional multilayer perceptrons (MLPs) for deep learning applications in computational physics, particularly for solving inverse problems with sparse data, as…

机器学习 · 计算机科学 2025-06-24 Ali Kashefi , Tapan Mukerji

The deployment of autonomous navigation systems on ships necessitates accurate motion prediction models tailored to individual vessels. Traditional physics-based models, while grounded in hydrodynamic principles, often fail to account for…

Data science has emerged as fourth paradigm of scientific exploration. However many machine learning models operate as black boxes offering limited insight into the reasoning behind their predictions. This lack of transparency is one of the…

机器学习 · 计算机科学 2025-01-31 Sudhanva Kulkarni

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

Physics-Informed Neural Networks (PINNs) have emerged as a robust framework for solving Partial Differential Equations (PDEs) by approximating their solutions via neural networks and imposing physics-based constraints on the loss function.…

Kolmogorov-Arnold Networks (KAN) is a groundbreaking model recently proposed by the MIT team, representing a revolutionary approach with the potential to be a game-changer in the field. This innovative concept has rapidly garnered worldwide…

机器学习 · 计算机科学 2024-06-05 Kunpeng Xu , Lifei Chen , Shengrui Wang

We propose PO-CKAN, a physics-informed deep operator framework based on Chunkwise Rational Kolmogorov--Arnold Networks (KANs), for approximating the solution operators of partial differential equations. This framework leverages a Deep…

机器学习 · 计算机科学 2025-11-04 Junyi Wu , Guang Lin

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

Friction modeling plays a crucial role in achieving high-precision motion control in robotic operating systems. Traditional static friction models (such as the Stribeck model) are widely used due to their simple forms; however, they…

机器人学 · 计算机科学 2025-11-14 Yizheng Wang , Timon Rabczuk , Yinghua Liu
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