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Large-scale atomistic computer simulations of materials heavily rely on interatomic potentials predicting the potential energy and Newtonian forces on atoms. Traditional interatomic potentials are based on physical intuition but contain few…

材料科学 · 物理学 2019-06-11 G. P. Purja Pun , R. Batra , R. Ramprasad , Y. Mishin

Accurate time-series forecasting for complex physical systems is the backbone of modern industrial monitoring and control, yet deep learning models often lack the physical consistency required in regulated environments.To bridge this gap,…

机器学习 · 计算机科学 2026-05-18 Ramona Rubini , Siavash Khodakarami , Aniruddha Bora , George Em Karniadakis , Michele Dassisti

Considering the growing necessity for precise modeling of power electronics amidst operational and environmental uncertainties, this paper introduces an innovative methodology that ingeniously combines model-driven and data-driven…

系统与控制 · 电气工程与系统科学 2024-06-25 Peifeng Hui , Chenggang Cui , Pengfeng Lin , Amer M. Y. M. Ghias , Xitong Niu , Chuanlin Zhang

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

Physics Informed Neural Networks (PINNs) have frequently been used for the numerical approximation of Partial Differential Equations (PDEs). The goal of this paper is to construct PINNs along with a computable upper bound of the error,…

数值分析 · 数学 2022-12-19 Lewin Ernst , Karsten Urban

Physics-informed neural networks (PINNs) are an increasingly powerful way to solve partial differential equations, generate digital twins, and create neural surrogates of physical models. In this manuscript we detail the inner workings of…

Parameter estimation for differential equations from measured data is an inverse problem prevalent across quantitative sciences. Physics-Informed Neural Networks (PINNs) have emerged as effective tools for solving such problems, especially…

机器学习 · 计算机科学 2025-04-08 Marius Almanstötter , Roman Vetter , Dagmar Iber

In this work, we present the physics-informed neural network (PINN) model applied particularly to dynamic problems in solid mechanics. We focus on forward and inverse problems. Particularly, we show how a PINN model can be used efficiently…

神经与进化计算 · 计算机科学 2025-12-16 Vijay Kag , Venkatesh Gopinath

This study presents a comprehensive overview of PIML techniques in the context of condition monitoring. The central concept driving PIML is the incorporation of known physical laws and constraints into machine learning algorithms, enabling…

机器学习 · 计算机科学 2024-01-23 Yuandi Wu , Brett Sicard , Stephen Andrew Gadsden

Building performance simulation (BPS) is critical for understanding building dynamics and behavior, analyzing performance of the built environment, optimizing energy efficiency, improving demand flexibility, and enhancing building…

系统与控制 · 电气工程与系统科学 2025-05-26 Zixin Jiang , Xuezheng Wang , Han Li , Tianzhen Hong , Fengqi You , Ján Drgoňa , Draguna Vrabie , Bing Dong

Physics-informed neural networks (PINNs) are a versatile tool in the burgeoning field of scientific machine learning for solving partial differential equations (PDEs). However, determining suitable training strategies for them is not…

数值分析 · 数学 2026-03-09 Saad Qadeer , Panos Stinis

In recent years, Scientific Machine Learning (SciML) methods for solving partial differential equations (PDEs) have gained increasing popularity. Within such a paradigm, Physics-Informed Neural Networks (PINNs) are novel deep learning…

数值分析 · 数学 2024-04-25 Pasquale Ambrosio , Salvatore Cuomo , Mariapia De Rosa

Physics-Informed Neural Networks (PINNs) have recently been proposed to solve scientific and engineering problems, where physical laws are introduced into neural networks as prior knowledge. With the embedded physical laws, PINNs enable the…

机器学习 · 计算机科学 2022-12-09 Xinle Wu , Dalin Zhang , Miao Zhang , Chenjuan Guo , Shuai Zhao , Yi Zhang , Huai Wang , Bin Yang

Physics-informed neural networks (PINNs) have shown remarkable prospects in solving forward and inverse problems involving partial differential equations (PDEs). However, PINNs still face the challenge of high computational cost in solving…

流体动力学 · 物理学 2025-01-22 Jiahao Song , Wenbo Cao , Weiwei Zhang

Physics-informed machine learning (PIML) provides a promising solution for building energy modeling and can serve as a virtual environment to enable reinforcement learning (RL) agents to interact and learn. However, challenges remain in…

系统与控制 · 电气工程与系统科学 2025-12-16 Zixin Jiang , Xuezheng Wang , Bing Dong

We present a novel approach to modeling the ground state mass of atomic nuclei based directly on a probabilistic neural network constrained by relevant physics. Our Physically Interpretable Machine Learning (PIML) approach incorporates…

核理论 · 物理学 2022-08-17 M. R. Mumpower , T. M. Sprouse , A. E. Lovell , A. T. Mohan

Current hydrological modeling methods combine data-driven Machine Learning (ML) algorithms and traditional physics-based models to address their respective limitations incorrect parameter estimates from rigid physics-based models and the…

机器学习 · 计算机科学 2024-02-22 Mostafa Esmaeilzadeh , Melika Amirzadeh

For Prognostics and Health Management (PHM) of Lithium-ion (Li-ion) batteries, many models have been established to characterize their degradation process. The existing empirical or physical models can reveal important information regarding…

信号处理 · 电气工程与系统科学 2023-09-12 Pengfei Wen , Zhi-Sheng Ye , Yong Li , Shaowei Chen , Pu Xie , Shuai Zhao

Radiation heat transfer in a graded-index medium often suffers accuracy problems due to the gradual changes in the refractive index. The finite element method, meshfree, and other numerical methods often struggle to maintain accuracy when…

数值分析 · 数学 2024-12-25 K. Murari , S. Sundar

Physics-informed machine learning typically integrates physical priors into the learning process by minimizing a loss function that includes both a data-driven term and a partial differential equation (PDE) regularization. Building on the…

机器学习 · 统计学 2025-09-23 Nathan Doumèche , Francis Bach , Gérard Biau , Claire Boyer