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相关论文: Physics-Informed Machine Learning in Biomedical Sc…

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Physics-informed neural networks (PINNs) have emerged as a promising numerical method based on deep learning for modeling boundary value problems, showcasing promising results in various fields. In this work, we use PINNs to discretize…

计算物理 · 物理学 2024-06-10 Michel Nohra , Steven Dufour

Scientific Machine Learning (SciML) integrates physics and data into the learning process, offering improved generalization compared with purely data-driven models. Despite its potential, applications of SciML in prognostics remain limited,…

机器学习 · 计算机科学 2025-11-04 Ibai Ramirez , Jokin Alcibar , Joel Pino , Mikel Sanz , David Pardo , Jose I. Aizpurua

Biologically-informed neural networks (BINNs), an extension of physics-informed neural networks [1], are introduced and used to discover the underlying dynamics of biological systems from sparse experimental data. In the present work, BINNs…

定量方法 · 定量生物学 2021-01-27 John H. Lagergren , John T. Nardini , Ruth E. Baker , Matthew J. Simpson , Kevin B. Flores

The integration of physics-based knowledge with machine learning models is increasingly shaping the monitoring, diagnostics, and prognostics of electrical transformers. In this two-part series, the first paper introduced the foundations of…

机器学习 · 计算机科学 2025-12-30 Jose I. Aizpurua

This position paper takes a broad look at Physics-Enhanced Machine Learning (PEML) -- also known as Scientific Machine Learning -- with particular focus to those PEML strategies developed to tackle dynamical systems' challenges. The need to…

机器学习 · 计算机科学 2024-12-30 Alice Cicirello

PDEs arise ubiquitously in science and engineering, where solutions depend on parameters (physical properties, boundary conditions, geometry). Traditional numerical methods require re-solving the PDE for each parameter, making parameter…

机器学习 · 统计学 2026-02-02 Zhuo Zhang , Xiong Xiong , Sen Zhang , Yuan Zhao , Xi Yang

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

机器学习 · 计算机科学 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

Parameter estimation remains a challenging task across many areas of engineering. Because data acquisition can often be costly, limited, or prone to inaccuracies (noise, uncertainty) it is crucial to identify sensor configurations that…

机器学习 · 统计学 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

Despite their ubiquity, the rich physics present in a plasma sheath has inhibited the development of a generally applicable description of this critical region. The present study utilizes a physics-informed neural network (PINN) to evaluate…

等离子体物理 · 物理学 2026-04-27 Ethan Webb , Yuzhi Li , Christopher McDevitt

Numerical methods such as finite element have been flourishing in the past decades for modeling solid mechanics problems via solving governing partial differential equations (PDEs). A salient aspect that distinguishes these numerical…

数值分析 · 数学 2020-06-16 Chengping Rao , Hao Sun , Yang Liu

Physics-informed neural networks (PINNs) have been popularized as a deep learning framework that can seamlessly synthesize observational data and partial differential equation (PDE) constraints. Their practical effectiveness however can be…

机器学习 · 计算机科学 2023-08-17 Sifan Wang , Shyam Sankaran , Hanwen Wang , Paris Perdikaris

This paper presents a new approach to simulate forward and inverse problems of moving loads using physics-informed machine learning (PIML). Physics-informed neural networks (PINNs) utilize the underlying physics of moving load problems and…

机器学习 · 计算机科学 2023-04-04 Taniya Kapoor , Hongrui Wang , Alfredo Núñez , Rolf Dollevoet

Physics-informed neural networks (PINNs) offer a novel AI-driven framework for integrating physical laws directly into neural network models, facilitating the solution of complex multiphysics problems in materials engineering. This study…

材料科学 · 物理学 2025-10-14 Mohid Farooqi , Ingmar Bösing , Conrard G. Tetsassi Feugmo

Physics-Informed Machine Learning (PIML) offers a powerful paradigm of integrating data with physical laws to address important scientific problems, such as parameter estimation, inferring hidden physics, equation discovery, and state…

计算工程、金融与科学 · 计算机科学 2025-10-31 Letian Yi , Siyuan Yang , Ying Cui , Zhilu Lai

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 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…

There is growing interest in using machine learning (ML) methods for structural metamodeling due to the substantial computational cost of traditional simulations. Purely data-driven strategies often face limitations in model robustness,…

应用物理 · 物理学 2024-04-30 R. Bailey Bond , Pu Ren , Jerome F. Hajjar , Hao Sun

Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems, whose basic concept is to embed physical laws to constrain/inform neural networks, with the need of less data for training…

流体动力学 · 物理学 2020-11-24 Chengping Rao , Hao Sun , Yang Liu

Physics-Informed Neural Networks (PINN) are neural networks encoding the problem governing equations, such as Partial Differential Equations (PDE), as a part of the neural network. PINNs have emerged as a new essential tool to solve various…

数值分析 · 数学 2021-07-07 Stefano Markidis

Physics-informed neural networks (PINNs) constitute a flexible approach to both finding solutions and identifying parameters of partial differential equations. Most works on the topic assume noiseless data, or data contaminated with weak…

机器学习 · 统计学 2024-06-21 Philipp Pilar , Niklas Wahlström