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Modeling of conservative systems with neural networks is an area of active research. A popular approach is to use Hamiltonian neural networks (HNNs) which rely on the assumptions that a conservative system is described with Hamilton's…

人工智能 · 计算机科学 2024-07-18 Katsiaryna Haitsiukevich , Alexander Ilin

Physics-informed neural networks have shown significant potential in solving partial differential equations (PDEs) across diverse scientific fields. However, their performance often deteriorates when addressing PDEs with intricate and…

机器学习 · 计算机科学 2025-02-18 Nanxi Chen , Chuanjie Cui , Rujin Ma , Airong Chen , Sifan Wang

In recent engineering applications using deep learning, physics-informed neural network (PINN) is a new development as it can exploit the underlying physics of engineering systems. The novelty of PINN lies in the use of partial differential…

计算工程、金融与科学 · 计算机科学 2026-02-26 Kart Leong Lim , Rahul Dutta , Mihai Rotaru

Varying power-infeed from converter-based generation units introduces great uncertainty on system parameters such as inertia and damping. As a consequence, system operators face increasing challenges in performing dynamic security…

系统与控制 · 电气工程与系统科学 2021-04-16 Jochen Stiasny , George S. Misyris , Spyros Chatzivasileiadis

In modern industrial production, the prediction ability of the remaining useful life (RUL) of bearings directly affects the safety and stability of the system. Traditional methods require rigorous physical modeling and perform poorly for…

计算机视觉与模式识别 · 计算机科学 2022-04-12 Bingguo Liu , Zhuo Gao , Binghui Lu , Hangcheng Dong , Zeru An

Accurately predicting the state-of-health (SOH) and remaining useful life (RUL) of lithium-ion batteries is crucial for ensuring the safe and efficient operation of electric vehicles while minimizing associated risks. However, current deep…

机器学习 · 计算机科学 2026-03-25 Chenhan Wang , Zhengyi Bao , Huipin Lin , Jiahao Nie , Chunxiang Zhu

Being able to predict the remaining useful life (RUL) of an engineering system is an important task in prognostics and health management. Recently, data-driven approaches to RUL predictions are becoming prevalent over model-based approaches…

机器学习 · 计算机科学 2025-01-20 Marc-André Zöller , Fabian Mauthe , Peter Zeiler , Marius Lindauer , Marco F. Huber

Physics-informed neural networks (PINNs) incorporate physical laws into their training to efficiently solve partial differential equations (PDEs) with minimal data. However, PINNs fail to guarantee adherence to conservation laws, which are…

机器学习 · 计算机科学 2024-10-24 Anthony Baez , Wang Zhang , Ziwen Ma , Subhro Das , Lam M. Nguyen , Luca Daniel

Machine learning is gaining growing momentum in various recent models for the dynamic analysis of information flows in data communications networks. These preliminary models often rely on off-the-shelf learning models to predict from…

机器学习 · 计算机科学 2023-04-04 Xiangle Cheng , James He , Shihan Xiao , Yingxue Zhang , Zhitang Chen , Pascal Poupart , Fenglin Li

A physics-informed neural network (PINN) uses physics-augmented loss functions, e.g., incorporating the residual term from governing partial differential equations (PDEs), to ensure its output is consistent with fundamental physics laws.…

机器学习 · 计算机科学 2022-12-16 Jian Cheng Wong , Chinchun Ooi , Abhishek Gupta , Yew-Soon Ong

State estimation is the cornerstone of the power system control center since it provides the operating condition of the system in consecutive time intervals. This work investigates the application of physics-informed neural networks (PINNs)…

机器学习 · 计算机科学 2026-04-07 Solon Falas , Markos Asprou , Charalambos Konstantinou , Maria K. Michael

Deep State Space Models (SSMs) reignite physics-grounded compute paradigms, as RNNs could natively be embodied into dynamical systems. This calls for dedicated learning algorithms obeying to core physical principles, with efficient…

机器学习 · 计算机科学 2025-06-06 Guillaume Pourcel , Maxence Ernoult

An adjoint formulation leveraging a physics-informed neural network (PINN) is employed to advance the density moment of a runaway electron (RE) distribution forward in time. A distinguishing feature of this approach is that once the adjoint…

等离子体物理 · 物理学 2024-12-18 Christopher J. McDevitt , Jonathan Arnaud , Xian-Zhu Tang

Partial differential equations (PDEs) are an essential computational kernel in physics and engineering. With the advance of deep learning, physics-informed neural networks (PINNs), as a mesh-free method, have shown great potential for fast…

机器学习 · 计算机科学 2023-06-19 Junjun Yan , Xinhai Chen , Zhichao Wang , Enqiang Zhoui , Jie Liu

In this work, we propose the Residual-Weighted Physics-Informed Neural Network (RW-PINN), a new method designed to enhance the accuracy of Physics-Informed Neural Network (PINN) based algorithms. We construct a deep learning framework with…

数值分析 · 数学 2025-09-03 K. Murari , P. Roul , S. Sundar

The neutron diffusion equation plays a pivotal role in the analysis of nuclear reactors. Nevertheless, employing the Physics-Informed Neural Network (PINN) method for its solution entails certain limitations. Traditional PINN approaches…

机器学习 · 计算机科学 2024-07-17 Heng Zhang , Yun-Ling He , Dong Liu , Qin Hang , He-Min Yao , Di Xiang

Remaining useful life prediction plays a crucial role in the health management of industrial systems. Given the increasing complexity of systems, data-driven predictive models have attracted significant research interest. Upon reviewing the…

机器学习 · 计算机科学 2024-01-30 Zhixin Huang , Yujiang He , Bernhard Sick

This work is concerned with discovering the governing partial differential equation (PDE) of a physical system. Existing methods have demonstrated the PDE identification from finite observations but failed to maintain satisfying results…

数值分析 · 数学 2023-02-09 Pongpisit Thanasutives , Takashi Morita , Masayuki Numao , Ken-ichi Fukui

State estimation for nonlinear dynamical systems is a critical challenge in control and engineering applications, particularly when only partial and noisy measurements are available. This paper introduces a novel Adaptive Physics-Informed…

机器学习 · 计算机科学 2025-10-31 Ayoub Farkane , Mohamed Boutayeb , Mustapha Oudani , Mounir Ghogho

Integration of machine learning (ML) into the topology optimization (TO) framework is attracting increasing attention, but data acquisition in data-driven models is prohibitive. Compared with popular ML methods, the physics-informed neural…

机器学习 · 计算机科学 2023-12-13 Jichao Yin , Ziming Wen , Shuhao Li , Yaya Zhanga , Hu Wang