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Accurate reconstruction of magnetic fields in inaccessible regions is vital for many high-precision experiments in physics. Traditional methods, such as spherical harmonic expansion, often suffer from truncation errors that limit their…

Instrumentation and Detectors · Physics 2026-05-26 Haohan Yu , Zhanxu Hao , Bingzhi Li , Zejia Lu , Xiang Chen , Liang Li

Large-scale wave field reconstruction requires precise solutions but faces challenges with computational efficiency and accuracy. The physics-based numerical methods like Finite Element Method (FEM) provide high accuracy but struggle with…

Machine Learning · Computer Science 2026-03-04 Huiwen Zhang , Feng Ye , Chu Ma

This work investigates the use of shallow physics-informed neural networks (PINNs) for solving forward and inverse problems of nonlinear partial differential equations (PDEs). By reformulating PINNs as nonlinear systems, the…

Numerical Analysis · Mathematics 2026-02-12 Muhammad Luthfi Shahab , Imam Mukhlash , Hadi Susanto

Globally, there are many polluted groundwater sites that need an active remediation plan for the restoration of local ecosystem and environment. Engineered nanoparticles (ENPs) have proven to be an effective reactive agent for the in-situ…

Machine Learning · Computer Science 2023-08-16 Shikhar Nilabh , Fidel Grandia

Physics-informed neural networks (PINNs) integrate physical laws with data-driven models to improve generalization and sample efficiency. This work introduces an open-source implementation of the Physics-Informed Neural Network with Control…

Machine Learning · Computer Science 2025-04-29 Abdelhakim Amer , David Felsager , Yury Brodskiy , Andriy Sarabakha

Physics-informed Neural Network (PINN) faces significant challenges when approximating solutions to conservation laws, particularly in ensuring conservation and accurately resolving discontinuities. To address these limitations, we propose…

Numerical Analysis · Mathematics 2025-09-10 Weiheng Zeng , Kun Wang , Ruoxi Lu , Tiegang Liu

Learning-based point cloud compression presents superior performance to handcrafted codecs. However, pretrained-based methods, which are based on end-to-end training and expected to generalize to all the potential samples, suffer from…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Wenjie Huang , Qi Yang , Shuting Xia , He Huang , Zhu Li , Yiling Xu

This paper proposes CTP, a novel deep learning framework that integrates convolutional neural network(CNN), Transformer architectures, and physics-informed neural network(PINN) for ocean front prediction. Ocean fronts, as dynamic interfaces…

Machine Learning · Computer Science 2025-05-19 Yishuo Wang , Feng Zhou , Muping Zhou , Qicheng Meng , Zhijun Hu , Yi Wang

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…

Data Analysis, Statistics and Probability · Physics 2024-08-12 Milad Panahi , Giovanni Michele Porta , Monica Riva , Alberto Guadagnini

We propose a solution strategy for parameter identification in multiphase thermo-hydro-mechanical (THM) processes in porous media using physics-informed neural networks (PINNs). We employ a dimensionless form of the THM governing equations…

Machine Learning · Computer Science 2023-08-09 Danial Amini , Ehsan Haghighat , Ruben Juanes

There has been an increasing interest in integrating physics knowledge and machine learning for modeling dynamical systems. However, very limited studies have been conducted on seismic wave modeling tasks. A critical challenge is that these…

Geophysics · Physics 2022-11-03 Pu Ren , Chengping Rao , Su Chen , Jian-Xun Wang , Hao Sun , Yang Liu

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…

Accurate prediction of hydrogen sorption in clays, shales, and coals is vital for advancing underground hydrogen storage, natural hydrogen exploration, and radioactive waste containment. Traditional experimental methods, while foundational,…

Machine Learning · Computer Science 2025-09-03 Mohammad Nooraiepour , Mohammad Masoudi , Zezhang Song , Helge Hellevang

Paleoclimatic measurements serve to understand Earth System processes and evaluate climate model performances. However, their spatial coverage is generally sparse and unevenly distributed across the globe. Statistical interpolation methods…

Coastal communities increasingly face compound floods, where multiple drivers like storm surge, high tide, heavy rainfall, and river discharge occur together or in sequence to produce impacts far greater than any single driver alone.…

Geophysics · Physics 2025-07-22 Soheil Radfar , Faezeh Maghsoodifar , Hamed Moftakhari , Hamid Moradkhani

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)…

Fluid Dynamics · Physics 2026-01-13 Miranda J. S. Horne , Peter K. Jimack , Amirul Khan , He Wang

Physics-informed neural networks (PINNs) are a new tool for solving boundary value problems by defining loss functions of neural networks based on governing equations, boundary conditions, and initial conditions. Recent investigations have…

Computational Engineering, Finance, and Science · Computer Science 2023-11-14 Ali Harandi , Ahmad Moeineddin , Michael Kaliske , Stefanie Reese , Shahed Rezaei

This paper proposes a Curriculum-Transfer-Learning based physics-informed neural network (CTL-PINN) for long-term simulation of physical and mechanical behaviors. The main innovation of CTL-PINN lies in decomposing long-term problems into a…

Machine Learning · Computer Science 2025-02-12 Yuan Guo , Zhuojia Fu , Jian Min , Shiyu Lin , Xiaoting Liu , Youssef F. Rashed , Xiaoying Zhuang

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.…

Machine Learning · Computer Science 2021-05-06 Jian Cheng Wong , Chinchun Ooi , Pao-Hsiung Chiu , My Ha Dao

In this study, novel physics-informed neural network (PINN) methods for coupling neighboring support points and their derivative terms which are obtained by automatic differentiation (AD), are proposed to allow efficient training with…

Machine Learning · Computer Science 2022-12-16 Pao-Hsiung Chiu , Jian Cheng Wong , Chinchun Ooi , My Ha Dao , Yew-Soon Ong
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