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Physics-informed neural networks (PINNs) are demonstrating remarkable promise in integrating physical models with gappy and noisy observational data, but they still struggle in cases where the target functions to be approximated exhibit…

Machine Learning · Computer Science 2021-06-16 Sifan Wang , Hanwen Wang , Paris Perdikaris

Field-scale properties of fractured rocks play crucial role in many subsurface applications, yet methodologies for identification of the statistical parameters of a discrete fracture network (DFN) are scarce. We present an inversion…

Geophysics · Physics 2022-01-05 Zitong Zhou , Delphine Roubinet , Daniel M. Tartakovsky

We apply Physics-Informed Neural Networks (PINNs) for solving identification problems of nonhomogeneous materials. We focus on the problem with a background in elasticity imaging, where one seeks to identify the nonhomogeneous mechanical…

Machine Learning · Computer Science 2020-09-11 Enrui Zhang , Minglang Yin , George Em Karniadakis

The inversion of DC resistivity data is a widely employed method for near-surface characterization. Recently, deep learning-based inversion techniques have garnered significant attention due to their capability to elucidate intricate…

Geophysics · Physics 2024-08-06 Rohan Sharma , Divakar Vashisth , Kuldeep Sarkar , Upendra Kumar Singh

Parameter estimation for differential equations from measured data is an inverse problem prevalent across quantitative sciences. Physics-Informed Neural Networks (PINNs) have emerged as effective tools for solving such problems, especially…

Machine Learning · Computer Science 2025-04-08 Marius Almanstötter , Roman Vetter , Dagmar Iber

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…

Machine Learning · Computer Science 2020-05-09 Khemraj Shukla , Patricio Clark Di Leoni , James Blackshire , Daniel Sparkman , George Em Karniadakis

As an emerging technology in deep learning, physics-informed neural networks (PINNs) have been widely used to solve various partial differential equations (PDEs) in engineering. However, PDEs based on practical considerations contain…

Machine Learning · Computer Science 2021-11-11 Yuhao Huang

Physics-Informed machine learning models have recently emerged with some interesting and unique features that can be applied to reservoir engineering. In particular, physics-informed neural networks (PINN) leverage the fact that neural…

Fluid Dynamics · Physics 2023-12-01 Daniel Badawi , Eduardo Gildin

Most noninvasive imaging techniques utilize electromagnetic or acoustic waves originating from multiple locations and directions to identify hidden geometrical structures. Surprisingly, it is also possible to image hidden voids and…

Computational Engineering, Finance, and Science · Computer Science 2025-02-18 Saviz Mowlavi , Ken Kamrin

This dissertation investigates physics-informed neural networks (PINNs) as candidate models for encoding governing equations, and assesses their performance on experimental data from two different systems. The first system is a simple…

Machine Learning · Computer Science 2024-01-09 Hamza Alsharif

Temperature monitoring during the life time of heat source components in engineering systems becomes essential to guarantee the normal work and the working life of these components. However, prior methods, which mainly use the interpolate…

Machine Learning · Computer Science 2022-12-27 Zhiqiang Gong , Weien Zhou , Jun Zhang , Wei Peng , Wen Yao

Physics-informed Neural Networks (PINNs) is a method for numerical simulation that incorporates a loss function corresponding to the governing equations into a neural network. While PINNs have been explored for their utility in inverse…

Sound · Computer Science 2024-06-18 Kazuya Yokota , Masataka Ogura , Masajiro Abe

Solving heat transfer equations on chip becomes very critical in the upcoming 5G and AI chip-package-systems. However, batches of simulations have to be performed for data driven supervised machine learning models. Data driven methods are…

Machine Learning · Computer Science 2020-07-21 Haiyang He , Jay Pathak

A physics-informed neural network is developed to solve conductive heat transfer partial differential equation (PDE), along with convective heat transfer PDEs as boundary conditions (BCs), in manufacturing and engineering applications where…

Machine Learning · Computer Science 2021-03-29 Navid Zobeiry , Keith D. Humfeld

Urban heat islands (UHIs) pose a critical challenge in densely populated cities and tropical climates where large amounts of energy are used to meet the cooling demand. To address this, Building and Construction Authority (BCA) of Singapore…

The potential energy loss of aging buildings traps building owners in a cycle of underfunding operations and overpaying maintenance costs. Energy auditors intending to generate an energy model of a target building for performance assessment…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Zihao Wang , Yu Hou , Lucio Soibelman

In this work, we propose the Residual-Weighted Physics-Informed Neural Network (RW-PINN), a new method designed to enhance the accuracy of Physics-Informed Neural Network (PINN) based algorithms. We construct a deep learning framework with…

Numerical Analysis · Mathematics 2025-09-03 K. Murari , P. Roul , S. Sundar

Transformers are crucial for reliable and efficient power system operations, particularly in supporting the integration of renewable energy. Effective monitoring of transformer health is critical to maintain grid stability and performance.…

Machine Learning · Computer Science 2026-02-17 Ibai Ramirez , Joel Pino , David Pardo , Mikel Sanz , Luis del Rio , Alvaro Ortiz , Kateryna Morozovska , Jose I. Aizpurua

We introduce a physics-informed neural network (PINN) method to study thermoacoustic interactions leading to combustion instability in combustors. Specifically, we employ a PINN to investigate thermoacoustic interactions in a bluff body…

Fluid Dynamics · Physics 2024-10-18 Sathesh Mariappan , Kamaljyoti Nath , George Em Karniadakis

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
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