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We present pseudo-differential enhanced physics-informed neural networks (PINNs), an extension of gradient enhancement but in Fourier space. Gradient enhancement of PINNs dictates that the PDE residual is taken to a higher differential…

Machine Learning · Computer Science 2026-05-06 Andrew Gracyk

Implementing quantum gates on quantum computers can require the application of carefully shaped pulses for high-fidelity operations. We explore the use of physics-informed neural networks (PINNs) for quantum optimal control to assess their…

Quantum Physics · Physics 2025-11-13 Sofiia Lauten , Matthew Otten

In this paper, we review the new method Physics-Informed Neural Networks (PINNs) that has become the main pillar in scientific machine learning, we present recent practical extensions, and provide a specific example in data-driven discovery…

Machine Learning · Computer Science 2024-09-02 Maziar Raissi , Paris Perdikaris , Nazanin Ahmadi , George Em Karniadakis

Incompressible fluid flow around a cylinder is one of the classical problems in fluid-dynamics with strong relevance with many real-world engineering problems, for example, design of offshore structures or design of a pin-fin heat…

Machine Learning · Computer Science 2020-11-04 Tongtao Zhang , Biswadip Dey , Pratik Kakkar , Arindam Dasgupta , Amit Chakraborty

Solving for the frequency-domain scattered wavefield via physics-informed neural network (PINN) has great potential in seismic modeling and inversion. However, when dealing with high-frequency wavefields, its accuracy and training cost…

Machine Learning · Computer Science 2022-06-22 Xinquan Huang , Tariq Alkhalifah

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

Physics-informed neural networks (PINNs) are extensively used to represent various physical systems across multiple scientific domains. The same can be said for cardiac electrophysiology, wherein fully-connected neural networks (FCNNs) have…

Computational Engineering, Finance, and Science · Computer Science 2025-06-19 Roshan Antony Gomez , Julien Stöcker , Barış Cansız , Michael Kaliske

Physics-Informed Neural Networks (PINNs) are deep learning models that incorporate the governing physical laws of a system into the learning process, making them well-suited for solving complex scientific and engineering problems. Recently,…

Machine Learning · Computer Science 2025-07-18 Athanasios Papastathopoulos-Katsaros , Alexandra Stavrianidi , Zhandong Liu

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…

Computational Physics · Physics 2023-07-24 Luis Medrano Navarro , Luis Martín Moreno , Sergio G Rodrigo

We develop a distributed framework for the physics-informed neural networks (PINNs) based on two recent extensions, namely conservative PINNs (cPINNs) and extended PINNs (XPINNs), which employ domain decomposition in space and in…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-09 Khemraj Shukla , Ameya D. Jagtap , George Em Karniadakis

Physics-informed neural networks (PINNs) have been popularized as a deep learning framework that can seamlessly synthesize observational data and partial differential equation (PDE) constraints. Their practical effectiveness however can be…

Machine Learning · Computer Science 2023-08-17 Sifan Wang , Shyam Sankaran , Hanwen Wang , Paris Perdikaris

We present an efficient physics-informed neural networks (PINNs) framework, termed Adaptive Interface-PINNs (AdaI-PINNs), to improve the modeling of interface problems with discontinuous coefficients and/or interfacial jumps. This framework…

Machine Learning · Computer Science 2025-04-30 Sumanta Roy , Chandrasekhar Annavarapu , Pratanu Roy , Antareep Kumar Sarma

Physics-informed neural networks (PINNs) are revolutionizing science and engineering practice by bringing together the power of deep learning to bear on scientific computation. In forward modeling problems, PINNs are meshless partial…

Machine Learning · Computer Science 2023-11-28 Yicheng Wang , Xiaotian Han , Chia-Yuan Chang , Daochen Zha , Ulisses Braga-Neto , Xia Hu

In this study, we present and validate the predictive capability of the Physics-Informed Neural Networks (PINNs) methodology for solving a variety of engineering and biological dynamical systems governed by ordinary differential equations…

Machine Learning · Computer Science 2025-11-19 Tyrus Whitman , Andrew Particka , Christopher Diers , Ian Griffin , Charuka Wickramasinghe , Pradeep Ranaweera

This study takes advantage of recent advances in machine learning to establish a physics-based data analytic platform for distributed reconstruction of mechanical properties in layered components from full waveform data. In this vein, two…

Numerical Analysis · Mathematics 2023-10-20 Yang Xu , Fatemeh Pourahmadian , Jian Song , Conglin Wang

Physics-informed neural networks (PINNs) are an emerging technique to solve partial differential equations (PDEs). In this work, we propose a simple but effective PINN approach for the phase-field model of ferroelectric microstructure…

Materials Science · Physics 2024-09-06 Lan Shang , Sizheng Zheng , Jin Wang , Jie Wang

Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of the neural network itself. PINNs are nowadays used to solve PDEs, fractional…

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…

Fluid Dynamics · Physics 2026-05-25 Linus Walter , Qingkai Kong , Sara Hanson-Hedgecock , Víctor Vilarrasa

Due to its ability to work in non-line-of-sight and low-light environments, radio frequency (RF) imaging technology is expected to bring new possibilities for embodied intelligence and multimodal sensing. However, widely used RF devices…

Image and Video Processing · Electrical Eng. & Systems 2025-04-23 Fei Shang , Haohua Du , Dawei Yan , Panlong Yang , Xiang-Yang Li

We tackle the challenge of predicting vibrational stability in inorganic semiconductors for high-throughput screening, an essential attribute for evaluating synthesizability alongside thermodynamic stability, frequently missing in prominent…

Materials Science · Physics 2025-12-29 M. H. Zeb , M. Z. Kabir