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Physics-Informed Neural Networks (PINNs), which integrate deep learning with physical prior knowledge, have proven to be a powerful tool for studying the dynamics of high-dimensional nonlinear systems. The present work utilizes PINNs to…

量子气体 · 物理学 2026-02-05 Dongshuai Liu , Boris A. Malomed , Wen Zhang

We employ physics-informed neural networks (PINNs) to infer properties of biological materials using synthetic data. In particular, we successfully apply PINNs on inferring the thrombus permeability and visco-elastic modulus from thrombus…

计算物理 · 物理学 2021-01-22 Minglang Yin , Xiaoning Zheng , Jay D. Humphrey , George Em Karniadakis

We propose Gradient Informed Neural Networks (GradINNs), a methodology inspired by Physics Informed Neural Networks (PINNs) that can be used to efficiently approximate a wide range of physical systems for which the underlying governing…

机器学习 · 计算机科学 2024-09-04 Filippo Aglietti , Francesco Della Santa , Andrea Piano , Virginia Aglietti

Physics-informed neural networks (PINNs) offer a unified framework for solving both forward and inverse problems of differential equations, yet their performance and physical consistency strongly depend on how governing laws are…

机器学习 · 计算机科学 2026-03-31 Guojie Li , Liu Hong

We develop a physics-informed neural network (PINN) to significantly augment state-of-the-art experimental data and apply it to stratified flows. The PINN is a fully-connected deep neural network fed with time-resolved, three-component…

流体动力学 · 物理学 2023-09-27 Lu Zhu , Xianyang Jiang , Adrien Lefauve , Rich R. Kerswell , P. F. Linden

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

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

Physics-Informed Neural Networks (PINNs) have been shown to be an effective way of incorporating physics-based domain knowledge into neural network models for many important real-world systems. They have been particularly effective as a…

机器学习 · 计算机科学 2022-11-23 Jian Cheng Wong , Pao-Hsiung Chiu , Chin Chun Ooi , My Ha Da

Physics-informed neural networks (PINNs) commonly address ill-posed inverse problems by uncovering unknown physics. This study presents a novel unsupervised learning framework that identifies spatial subdomains with specific governing…

机器学习 · 计算机科学 2024-12-11 Arturo Rodriguez , Ashesh Chattopadhyay , Piyush Kumar , Luis F. Rodriguez , Vinod Kumar

A significant increase in renewable energy production is necessary to achieve the UN's net-zero emission targets for 2050. Using power-electronic controllers, such as Phase Locked Loops (PLLs), to keep grid-tied renewable resources in…

系统与控制 · 电气工程与系统科学 2023-03-23 Rahul Nellikkath , Andreas Venzke , Mohammad Kazem Bakhshizadeh , Ilgiz Murzakhanov , Spyros Chatzivasileiadis

Physics-informed neural networks (PINNs) provide a powerful framework for learning governing equations of dynamical systems from data. Biologically-informed neural networks (BINNs) are a variant of PINNs that preserve the known differential…

机器学习 · 计算机科学 2026-04-21 William Lavery , Jodie A. Cochrane , Christian Olesen , Dagim S. Tadele , John T. Nardini , Sara Hamis

Physics-Informed Neural Networks (PINNs) present a transformative approach for smart grid modeling by integrating physical laws directly into learning frameworks, addressing critical challenges of data scarcity and physical consistency in…

机器学习 · 计算机科学 2025-09-01 Julen Cestero , Carmine Delle Femine , Kenji S. Muro , Marco Quartulli , Marcello Restelli

High-resolution reconstruction of flow-field data from low-resolution and noisy measurements is of interest due to the prevalence of such problems in experimental fluid mechanics, where the measurement data are in general sparse, incomplete…

流体动力学 · 物理学 2024-02-23 Hamidreza Eivazi , Yuning Wang , Ricardo Vinuesa

Physics-Informed Neural Networks (PINNs) are a powerful class of numerical solvers for partial differential equations, employing deep neural networks with successful applications across a diverse set of problems. However, their…

数值分析 · 数学 2024-04-18 Tianhao Hu , Bangti Jin , Zhi Zhou

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving partial differential equations (PDEs) by embedding physical laws into neural network training. However, traditional PINN models are typically designed…

机器学习 · 计算机科学 2025-05-05 Keon Vin Park

The simulation of power system dynamics poses a computationally expensive task. Considering the growing uncertainty of generation and demand patterns, thousands of scenarios need to be continuously assessed to ensure the safety of power…

系统与控制 · 电气工程与系统科学 2023-11-13 Jochen Stiasny , Spyros Chatzivasileiadis

Physics-informed neural networks (PINNs) have recently emerged as a promising framework for integrating data-driven learning with physical knowledge. In this work, we propose a coupled PINN approach for the joint reconstruction of indoor…

机器学习 · 计算机科学 2026-05-05 Sani Biswas , Khursheed J. Ansari , Md. Nasim Akhtar

We propose a novel algorithm, based on physics-informed neural networks (PINNs) to efficiently approximate solutions of nonlinear dispersive PDEs such as the KdV-Kawahara, Camassa-Holm and Benjamin-Ono equations. The stability of solutions…

数值分析 · 数学 2022-05-19 Genming Bai , Ujjwal Koley , Siddhartha Mishra , Roberto Molinaro

This study benchmarks hybrid quantum physics-informed neural network (HQPINN) to model high-speed flows, compared against classical physics-informed neural networks (PINNs) and fully quantum neural networks (QNNs). The HQPINN architecture…

计算物理 · 物理学 2025-08-04 Fong Yew Leong , Wei-Bin Ewe , Tran Si Bui Quang , Zhongyuan Zhang , Jun Yong Khoo

Physics-informed neural networks (PINNs) have emerged as a powerful paradigm for solving partial differential equations (PDEs) by embedding physical laws directly into neural network training. However, solving high-fidelity PDEs remains…

机器学习 · 计算机科学 2026-02-03 Olaf Yunus Laitinen Imanov