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Physics-informed neural networks (PINNs) have emerged as a powerful tool for solving inverse problems, especially in cases where no complete information about the system is known and scatter measurements are available. This is especially…

计算工程、金融与科学 · 计算机科学 2023-08-03 Jeremias Garay , Jocelyn Dunstan , Sergio Uribe , Francisco Sahli Costabal

A physics-informed neural network (PINN) uses physics-augmented loss functions, e.g., incorporating the residual term from governing partial differential equations (PDEs), to ensure its output is consistent with fundamental physics laws.…

机器学习 · 计算机科学 2022-12-16 Jian Cheng Wong , Chinchun Ooi , Abhishek Gupta , Yew-Soon Ong

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 neural networks (PINNs) have recently received much attention due to their capabilities in solving both forward and inverse problems. For training a deep neural network associated with a PINN, one typically constructs a…

机器学习 · 计算机科学 2022-08-26 Pouyan Nasiri , Roozbeh Dargazany

We introduce NeuroPINNs, a neuroscience-inspired extension of Physics-Informed Neural Networks (PINNs) that incorporates biologically motivated spiking neuron models to achieve energy-efficient PDE solving. Unlike conventional PINNs, which…

计算物理 · 物理学 2025-11-11 Shailesh Garg , Souvik Chakraborty

We introduce an optimized physics-informed neural network (PINN) trained to solve the problem of identifying and characterizing a surface breaking crack in a metal plate. PINNs are neural networks that can combine data and physics in the…

Physics-informed Neural Networks (PINNs) often have, in their loss functions, terms based on physical equations and derivatives. In order to evaluate these terms, the output solution is sampled using a distribution of collocation points.…

机器学习 · 计算机科学 2022-11-23 Marcus Münzer , Chris Bard

Nonlinear physical phenomena often show complex multiscale interactions; motivated by the principles of multiscale modeling in scientific computing, we propose PAS-Net, a physics-informed Adaptive-Scale Deep Operator Network for learning…

计算物理 · 物理学 2025-11-20 Changhong Mou , Yeyu Zhang , Xuewen Zhu , Qiao Zhuang

Physics-informed Neural Networks (PINNs) have recently emerged as a principled way to include prior physical knowledge in form of partial differential equations (PDEs) into neural networks. Although PINNs are generally viewed as mesh-free,…

机器学习 · 计算机科学 2022-10-04 Fabricio Arend Torres , Marcello Massimo Negri , Monika Nagy-Huber , Maxim Samarin , Volker Roth

Physics-informed neural networks (PINNs) have received significant attention as a unified framework for forward, inverse, and surrogate modeling of problems governed by partial differential equations (PDEs). Training PINNs for forward…

机器学习 · 计算机科学 2022-06-22 Ehsan Haghighat , Danial Amini , Ruben Juanes

We propose a novel object localization methodology with the purpose of boosting the localization accuracy of state-of-the-art object detection systems. Our model, given a search region, aims at returning the bounding box of an object of…

计算机视觉与模式识别 · 计算机科学 2016-04-08 Spyros Gidaris , Nikos Komodakis

The Schr\"{o}dinger equation with random potentials is a fundamental model for understanding the behaviour of particles in disordered systems. Disordered media are characterised by complex potentials that lead to the localisation of…

无序系统与神经网络 · 物理学 2023-07-13 Liam Harcombe , Quanling Deng

Physics-informed neural networks (PINNs) have recently emerged as an alternative way of solving partial differential equations (PDEs) without the need of building elaborate grids, instead, using a straightforward implementation. In…

偏微分方程分析 · 数学 2019-09-04 Dongkun Zhang , Lu Lu , Ling Guo , George Em Karniadakis

We present a new physics informed neural network (PINN) algorithm for solving brittle fracture problems. While most of the PINN algorithms available in the literature minimize the residual of the governing partial differential equation, the…

机器学习 · 统计学 2019-07-08 Somdatta Goswami , Cosmin Anitescu , Souvik Chakraborty , Timon Rabczuk

We propose a novel machine learning algorithm for simulating radiative transfer. Our algorithm is based on physics informed neural networks (PINNs), which are trained by minimizing the residual of the underlying radiative tranfer equations.…

机器学习 · 计算机科学 2023-12-07 Siddhartha Mishra , Roberto Molinaro

We develop an unsupervised physics-informed neural network to solve saddle-point equations (SPEs) governing direct above-threshold ionization (ATI) within the strong-field approximation. This setting provides a well-understood testbed in…

原子物理 · 物理学 2026-03-19 Jiakang Chen , Sufia Hashim , Carla Figueira de Morisson Faria

This work presents a physics-informed neural network (PINN) based framework to model the strain-rate and temperature dependence of the deformation fields in elastic-viscoplastic solids. To avoid unbalanced back-propagated gradients during…

材料科学 · 物理学 2022-11-24 Rajat Arora , Pratik Kakkar , Biswadip Dey , Amit Chakraborty

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

Physics-informed neural network (PINN) has recently gained increasing interest in computational mechanics. In this work, we present a detailed introduction to programming PINN-based computational solid mechanics. Besides, two prevailingly…

计算工程、金融与科学 · 计算机科学 2023-04-11 Jinshuai Bai , Hyogu Jeong , C. P. Batuwatta-Gamage , Shusheng Xiao , Qingxia Wang , C. M. Rathnayaka , Laith Alzubaidi , Gui-Rong Liu , Yuantong Gu

Physics informed neural networks (PINNs) have recently been proposed as surrogate models for solving process optimization problems. However, in an active learning setting collecting enough data for reliably training PINNs poses a challenge.…

系统与控制 · 电气工程与系统科学 2024-02-22 Liqiu Dong , Marta Zagorowska , Tong Liu , Alex Durkin , Mehmet Mercangöz