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While Physics-Informed Neural Networks (PINNs) offer a mesh-free approach to solving PDEs, standard point-wise residual minimization suffers from convergence pathologies in topologically complex domains like Triply Periodic Minimal Surfaces…

机器学习 · 计算机科学 2026-03-11 Weizheng Zhang , Xunjie Xie , Hao Pan , Xiaowei Duan , Bingteng Sun , Qiang Du , Lin Lu

Physics-informed neural networks (PINNs) have recently emerged as a promising way to compute the solutions of partial differential equations (PDEs) using deep neural networks. However, despite their significant success in various fields, it…

数值分析 · 数学 2024-07-15 Seungchan Ko , Sang Hyeon Park

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

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 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…

Reconstructing unknown external source functions is an important perception capability for a large range of robotics domains including manipulation, aerial, and underwater robotics. In this work, we propose a Physics-Informed Neural Network…

机器人学 · 计算机科学 2024-11-05 Youngsun Wi , Jayjun Lee , Miquel Oller , Nima Fazeli

Real-time, physically-consistent predictions on low-power edge devices is critical for the next generation embodied AI systems, yet it remains a major challenge. Physics-Informed Neural Networks (PINNs) combine data-driven learning with…

机器学习 · 计算机科学 2025-12-01 Chi Zhang , Lin Wang

Quantum state tomography (QST) faces exponential measurement requirements and noise sensitivity in multi-qubit systems, bottlenecking practical quantum technologies. We present a physics-informed neural network (PINN) framework integrating…

量子物理 · 物理学 2025-12-17 Changchun Feng , Laifa Tao , Lin Chen

Physics-informed neural networks (PINNs) were recently proposed in [1] as an alternative way to solve partial differential equations (PDEs). A neural network (NN) represents the solution while a PDE-induced NN is coupled to the solution NN,…

计算物理 · 物理学 2019-10-22 Xiaoli Chen , Jinqiao Duan , George Em Karniadakis

The transformative impact of machine learning, particularly Deep Learning (DL), on scientific and engineering domains is evident. In the context of computational fluid dynamics (CFD), Physics-Informed Neural Networks (PINNs) represent a…

流体动力学 · 物理学 2024-04-05 Siddharth Raghu , Rajdip Nayek , Vamsi Chalamalla

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

We provide an approach enabling one to employ physics-informed neural networks (PINNs) for uncertainty quantification. Our approach is applicable to systems where observations are scarce (or even lacking), these being typical situations…

数据分析、统计与概率 · 物理学 2024-08-12 Milad Panahi , Giovanni Michele Porta , Monica Riva , Alberto Guadagnini

We propose a method for estimating the magnitude distribution of an acoustic field from spatially sparse magnitude measurements. Such a method is useful when phase measurements are unreliable or inaccessible. Physics-informed neural…

声音 · 计算机科学 2026-01-28 Karl Schrader , Shoichi Koyama , Tomohiko Nakamura , Mirco Pezzoli

Physics-informed neural networks (PINNs) represent a new paradigm for solving partial differential equations (PDEs) by integrating physical laws into the learning process of neural networks. However, ensuring that such frameworks fully…

机器学习 · 计算机科学 2025-12-12 Nanxi Chen , Sifan Wang , Rujin Ma , Airong Chen , Chuanjie Cui

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

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 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

We harness the physics-informed neural network (PINN) approach to extend the utility of phenomenological models for particle migration in shear flow. Specifically, we propose to constrain the neural network training via a model for the…

流体动力学 · 物理学 2023-04-28 Daihui Lu , Ivan C. Christov

While the popularity of physics-informed neural networks (PINNs) is steadily rising, to this date PINNs have not been successful in simulating dynamical systems whose solution exhibits multi-scale, chaotic or turbulent behavior. In this…

机器学习 · 计算机科学 2022-03-16 Sifan Wang , Shyam Sankaran , Paris Perdikaris

Realistic sound is essential in virtual environments, such as computer games and mixed reality. Efficient and accurate numerical methods for pre-calculating acoustics have been developed over the last decade; however, pre-calculating…

声音 · 计算机科学 2023-08-11 Nikolas Borrel-Jensen , Allan P. Engsig-Karup , Cheol-Ho Jeong