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Physics-informed neural network (PINN) is a data-driven solver for partial and ordinary differential equations(ODEs/PDEs). It provides a unified framework to address both forward and inverse problems. However, the complexity of the…

Machine Learning · Computer Science 2024-01-17 Abdul Hannan Mustajab , Hao Lyu , Zarghaam Rizvi , Frank Wuttke

This paper presents a deep learning strategy to simultaneously solve Partial Differential Equations (PDEs) and back-calculate their parameters in the context of deep tunnel excavation. A Physics-Informed Neural Network (PINN) model is…

Computational Physics · Physics 2026-05-29 Alec Tristani , Chloé Arson

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

Considering the growing necessity for precise modeling of power electronics amidst operational and environmental uncertainties, this paper introduces an innovative methodology that ingeniously combines model-driven and data-driven…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Peifeng Hui , Chenggang Cui , Pengfeng Lin , Amer M. Y. M. Ghias , Xitong Niu , Chuanlin Zhang

Recently, physics-informed neural networks (PINNs) have emerged as a flexible and promising application of deep learning to partial differential equations in the physical sciences. While offering strong performance and competitive inference…

The strongly-constrained physics-informed neural network (SCPINN) is proposed by adding the information of compound derivative embedded into the soft-constraint of physics-informed neural network(PINN). It is used to predict nonlinear…

Pattern Formation and Solitons · Physics 2022-11-30 Yin Fang , Wen-Bo Bo , Ru-Ru Wang , Yue-Yue Wang , Chao-Qing Dai

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

Fluid dynamics computations for tube-like geometries are important for biomedical evaluation of vascular and airway fluid dynamics. Physics-Informed Neural Networks (PINNs) have recently emerged as a good alternative to traditional…

Fluid Dynamics · Physics 2023-10-06 Hong Shen Wong , Wei Xuan Chan , Bing Huan Li , Choon Hwai Yap

Head-related transfer function (HRTF) capture the information that a person uses to localize sound sources in space, and thus is crucial for creating personalized virtual acoustic experiences. However, practical HRTF measurement systems may…

Audio and Speech Processing · Electrical Eng. & Systems 2023-12-12 Fei Ma , Thushara D. Abhayapala , Prasanga N. Samarasinghe , Xingyu Chen

In this work, we propose a learning method for solving the linear transport equation under the diffusive scaling. Due to the multiscale nature of our model equation, the model is challenging to solve by using conventional methods. We employ…

Numerical Analysis · Mathematics 2021-02-25 Liu Liu , Tieyong Zeng , Zecheng Zhang

Physics-Informed Neural Networks (PINNs) have gained popularity in solving nonlinear partial differential equations (PDEs) via integrating physical laws into the training of neural networks, making them superior in many scientific and…

Machine Learning · Computer Science 2023-08-15 Milad Ramezankhani , Abbas S. Milani

The development of biophysical models for clinical applications is rapidly advancing in the research community, thanks to their predictive nature and their ability to assist the interpretation of clinical data. However, high-resolution and…

Efficient simulation of Laser Powder Bed Fusion (LPBF) is crucial for process prediction due to the lasting issue of high computational cost associated with traditional numerical methods such as finite element analysis (FEA). While a…

Machine Learning · Computer Science 2026-05-25 R. Sharma , Y. B. Guo

The historical reconstruction of the Sun's surface magnetic field remains a persistent challenge, limiting our ability to investigate the long-term global properties of the Sun, including the evolution of the large-scale magnetic field,…

Solar and Stellar Astrophysics · Physics 2025-11-25 Bibhuti Kumar Jha , Lisa A. Upton , Greg Kopp , Odele Coddington

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

Physics-Informed Neural Networks (PINNs) show significant potential for solving inverse problems, especially when observations are limited and sparse, provided that the relevant physical equations are known. We use PINNs to estimate smooth…

Numerical Analysis · Mathematics 2025-08-06 Moises Sierpe , Ernesto Castillo , Hernan Mella , Felipe Galarce

We develop a physics-informed neural network (PINN) to significantly augment state-of-the-art experimental data and apply it to stratified flows. The PINN is a fully-connected deep neural network fed with time-resolved, three-component…

Fluid Dynamics · Physics 2023-09-27 Lu Zhu , Xianyang Jiang , Adrien Lefauve , Rich R. Kerswell , P. F. Linden

Physics-Informed Neural Networks (PINNs) serve as a flexible alternative for tackling forward and inverse problems in differential equations, displaying impressive advancements in diverse areas of applied mathematics. Despite integrating…

Fluid Dynamics · Physics 2024-07-12 Shengfeng Xu , Chang Yan , Zhenxu Sun , Renfang Huang , Dilong Guo , Guowei Yang

Accurate forecasting of contagious diseases is critical for public health policymaking and pandemic preparedness. We propose a new infectious disease forecasting model based on physics-informed neural networks (PINNs), an emerging…

Machine Learning · Computer Science 2025-04-30 Ying Qian , Kui Zhang , Éric Marty , Avranil Basu , Eamon B. O'Dea , Xianqiao Wang , Spencer Fox , Pejman Rohani , John M. Drake , He Li

The application of the Physics-Informed Neural Networks (PINNs) to forward and inverse analysis of pile-soil interaction problems is presented. The main challenge encountered in the Artificial Neural Network (ANN) modelling of pile-soil…

Computational Engineering, Finance, and Science · Computer Science 2022-12-19 M. Vahab , B. Shahbodagh , E. Haghighat , N. Khalili