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Physics-Informed Neural Networks (PINNs) are a class of deep learning models aiming to approximate solutions of PDEs by training neural networks to minimize the residual of the equation. Focusing on non-equilibrium fluctuating systems, we…

机器学习 · 计算机科学 2025-09-25 Javier Castro , Benjamin Gess

Physics-Informed Neural Networks (PINNs) frequently encounter difficulties in accurately resolving shock waves within high-speed compressible flows, a failure largely attributed to the "gradient pathology" arising from extreme stiffness at…

计算物理 · 物理学 2026-05-25 Darui Zhao , Ze Tao , Fujun Liu

A physics-informed neural network (PINN) that combines deep learning with physics is studied to solve the nonlinear Schr\"odinger equation for learning nonlinear dynamics in fiber optics. We carry out a systematic investigation and…

光学 · 物理学 2021-09-03 Xiaotian Jiang , Danshi Wang , Qirui Fan , Min Zhang , Chao Lu , Alan Pak Tao Lau

Accurate representation of wells is essential for reliable reservoir characterization and simulation of operational scenarios in subsurface flow models. Physics-informed neural networks (PINNs) have recently emerged as a promising method…

流体动力学 · 物理学 2026-05-25 Linus Walter , Qingkai Kong , Sara Hanson-Hedgecock , Víctor Vilarrasa

This paper presents a physics-informed neural network (PINN) approach for monitoring the health of diesel engines. The aim is to evaluate the engine dynamics, identify unknown parameters in a "mean value" model, and anticipate maintenance…

机器学习 · 计算机科学 2023-08-29 Kamaljyoti Nath , Xuhui Meng , Daniel J Smith , George Em Karniadakis

We introduce a physics-informed neural network (PINNs) framework for modelling the spatial distribution of chromodynamic fields induced by quark-antiquark pairs, based on lattice Monte Carlo simulations. In contrast to conventional neural…

高能物理 - 唯象学 · 物理学 2025-09-25 Wei Kou , Xiaoxuan Lin , Bing'ang Guo , Xurong Chen

Physics-Informed Neural Networks (PINNs) solve physical systems by incorporating governing partial differential equations directly into neural network training. In electromagnetism, where well-established methodologies such as FDTD and FEM…

计算物理 · 物理学 2026-02-13 Nilufer K. Bulut

We propose an efficient and generalizable physics-informed neural network (PINN) framework for computing traveling wave solutions of $n$-dimensional reaction-diffusion equations with various reaction and diffusion coefficients. By applying…

数值分析 · 数学 2026-03-17 Seungwan Han , Kwanghyuk Park , Jiaxi Gu , Jae-Hun Jung

In this study, we utilize the emerging Physics Informed Neural Networks (PINNs) approach for the first time to predict the flow field of a compressor cascade. Different from conventional training methods, a new adaptive learning strategy…

机器学习 · 计算机科学 2024-05-08 Zhihui Li , Francesco Montomoli , Sanjiv Sharma

This article introduces Perception-Informed Neural Networks (PrINNs), a framework designed to incorporate perception-based information into neural networks, addressing both systems with known and unknown physics laws or differential…

机器学习 · 计算机科学 2025-05-27 Mehran Mazandarani , Marzieh Najariyan

Inferring biophysical parameters and hidden state variables from partial and noisy observations is a fundamental challenge in computational neuroscience. This problem is particularly difficult for fast - slow spiking and bursting models,…

神经与进化计算 · 计算机科学 2026-03-11 Changliang Wei , Yangyang Wang , Xueyu Zhu

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

We develop improved physics-informed neural networks (PINNs) for high-order and high-dimensional power system models described by nonlinear ordinary differential equations. We propose some novel enhancements to improve PINN training and…

机器学习 · 计算机科学 2024-10-11 Vineet Jagadeesan Nair

Accurately and efficiently solving nonlinear differential equations is crucial for modeling dynamic behavior across science and engineering. Physics-Informed Neural Networks (PINNs) have emerged as a powerful solution that embeds physical…

机器学习 · 计算机科学 2026-01-21 Duarte Alexandrino , Ben Moseley , Pavlos Protopapas

Modeling self-gravitating gas flows is essential to answering many fundamental questions in astrophysics. This spans many topics including planet-forming disks, star-forming clouds, galaxy formation, and the development of large-scale…

机器学习 · 计算机科学 2023-08-17 Sayantan Auddy , Ramit Dey , Neal J. Turner , Shantanu Basu

Severe accidents (SAs) in nuclear power plants have been analyzed using thermal-hydraulic (TH) system codes such as MELCOR and MAAP. These codes efficiently simulate the progression of SAs, while they still have inherent limitations due to…

机器学习 · 计算机科学 2025-04-24 Jeesuk Shin , Cheolwoong Kim , Sunwoong Yang , Minseo Lee , Sung Joong Kim , Joongoo Jeon

In this work, we embed hard constraints in a physics informed neural network (PINN) which predicts solutions to the 2D incompressible Navier Stokes equations. We extend the hard constraint method introduced by Chen et al. (arXiv:2012.06148)…

流体动力学 · 物理学 2026-01-13 Miranda J. S. Horne , Peter K. Jimack , Amirul Khan , He Wang

The assimilation and prediction of phase-resolved surface gravity waves are critical challenges in ocean science and engineering. Potential flow theory (PFT) has been widely employed to develop wave models and numerical techniques for wave…

Physics-Informed Neural Networks (PINNs) have recently shown great promise as a way of incorporating physics-based domain knowledge, including fundamental governing equations, into neural network models for many complex engineering systems.…

机器学习 · 计算机科学 2021-05-06 Jian Cheng Wong , Chinchun Ooi , Pao-Hsiung Chiu , My Ha Dao

Physics-informed neural networks (PINNs), rooted in deep learning, have emerged as a promising approach for solving partial differential equations (PDEs). By embedding the physical information described by PDEs into feedforward neural…

机器学习 · 计算机科学 2024-01-26 Yanzhi Liu , Ruifan Wu , Ying Jiang