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In this paper we present a new strategy to model the subgrid-scale scalar flux in a three-dimensional turbulent incompressible flow using physics-informed neural networks (NNs). When trained from direct numerical simulation (DNS) data,…

流体动力学 · 物理学 2021-03-03 Hugo Frezat , Guillaume Balarac , Julien Le Sommer , Ronan Fablet , Redouane Lguensat

In this study, we present and validate the predictive capability of the Physics-Informed Neural Networks (PINNs) methodology for solving a variety of engineering and biological dynamical systems governed by ordinary differential equations…

Physics-informed neural networks (PINNs) impose known physical laws into the learning of deep neural networks, making sure they respect the physics of the process while decreasing the demand of labeled data. For systems represented by…

Stiff differential equations are prevalent in various scientific domains, posing significant challenges due to the disparate time scales of their components. As computational power grows, physics-informed neural networks (PINNs) have led to…

机器学习 · 计算机科学 2025-01-30 Emilien Seiler , Wanzhou Lei , Pavlos Protopapas

This paper puts forward a framework to accelerate Electromagnetic Transient (EMT) simulations by replacing individual components with trained Physics-Informed Neural Networks (PINNs). EMT simulations are considered the cornerstone of…

The research in Artificial Intelligence methods with potential applications in science has become an essential task in the scientific community last years. Physics Informed Neural Networks (PINNs) is one of this methods and represent a…

计算物理 · 物理学 2023-07-24 Luis Medrano Navarro , Luis Martín Moreno , Sergio G Rodrigo

Predictive Physics has been historically based upon the development of mathematical models that describe the evolution of a system under certain external stimuli and constraints. The structure of such mathematical models relies on a set of…

机器学习 · 计算机科学 2020-11-24 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Jose A. Sanz-Herrera , Manuel Doblaré

Harnessing data to discover the underlying governing laws or equations that describe the behavior of complex physical systems can significantly advance our modeling, simulation and understanding of such systems in various science and…

机器学习 · 计算机科学 2021-11-17 Zhao Chen , Yang Liu , Hao Sun

Recent work in scientific machine learning has developed so-called physics-informed neural network (PINN) models. The typical approach is to incorporate physical domain knowledge as soft constraints on an empirical loss function and use…

机器学习 · 计算机科学 2021-11-12 Aditi S. Krishnapriyan , Amir Gholami , Shandian Zhe , Robert M. Kirby , Michael W. Mahoney

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

Online identification of post-contingency transient stability is essential in power system control, as it facilitates the grid operator to decide and coordinate system failure correction control actions. Utilizing machine learning methods…

系统与控制 · 计算机科学 2017-05-23 James J. Q. Yu , David J. Hill , Albert Y. S. Lam , Jiatao Gu , Victor O. K. Li

Physics-informed neural networks exploit the existing models of the underlying physical systems to generate higher accuracy results with fewer data. Such approaches can help drastically reduce the computation time and generate a good…

系统与控制 · 电气工程与系统科学 2021-09-28 Rahul Nellikkath , Spyros Chatzivasileiadis

Physics-Informed Neural Network (PINN) is a novel multi-task learning framework useful for solving physical problems modeled using differential equations (DEs) by integrating the knowledge of physics and known constraints into the…

机器学习 · 计算机科学 2024-09-18 Shivprasad Kathane , Shyamprasad Karagadde

This paper presents a PINN training framework that employs (1) pre-training steps that accelerates and improve the robustness of the training of physics-informed neural network with auxiliary data stored in point clouds, (2) a net-to-net…

机器学习 · 计算机科学 2021-07-27 Bahador Bahmani , WaiChing Sun

Data assisted reconstruction algorithms, incorporating trained neural networks, are a novel paradigm for solving inverse problems. One approach is to first apply a classical reconstruction method and then apply a neural network to improve…

数值分析 · 数学 2020-03-26 Yoeri E. Boink , Markus Haltmeier , Sean Holman , Johannes Schwab

Recent advances in scientific machine learning have shed light on the modeling of pattern-forming systems. However, simulations of real patterns still incur significant computational costs, which could be alleviated by leveraging large…

计算工程、金融与科学 · 计算机科学 2023-02-28 Wei Li , Martin Z. Bazant , Juner Zhu

Turbulent fluid flows are among the most computationally demanding problems in science, requiring enormous computational resources that become prohibitive at high flow speeds. Physics-informed neural networks (PINNs) represent a radically…

机器学习 · 计算机科学 2025-10-14 Sifan Wang , Shyam Sankaran , Xiantao Fan , Panos Stinis , Paris Perdikaris

We show that the error achievable using physics-informed neural networks for solving systems of differential equations can be substantially reduced when these networks are trained using meta-learned optimization methods rather than to using…

机器学习 · 计算机科学 2023-03-15 Alex Bihlo

Physics-based simulations are often used to model and understand complex physical systems and processes in domains like fluid dynamics. Such simulations, although used frequently, have many limitations which could arise either due to the…

机器学习 · 计算机科学 2019-11-12 Nikhil Muralidhar , Jie Bu , Ze Cao , Long He , Naren Ramakrishnan , Danesh Tafti , Anuj Karpatne

Quantum control is a ubiquitous research field that has enabled physicists to delve into the dynamics and features of quantum systems, delivering powerful applications for various atomic, optical, mechanical, and solid-state systems. In…

量子物理 · 物理学 2023-12-11 Ariel Norambuena , Marios Mattheakis , Francisco J. González , Raúl Coto