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Physics-informed neural networks (PINNs), owing to their mesh-free nature, offer a powerful approach for solving high-dimensional partial differential equations (PDEs) in complex geometries, including irregular domains. This capability…

Numerical Analysis · Mathematics 2025-06-06 Hanfei Zhou , Lei Shi

Recently developed physics-informed neural network (PINN) has achieved success in many science and engineering disciplines by encoding physics laws into the loss functions of the neural network, such that the network not only conforms to…

Numerical Analysis · Mathematics 2021-11-17 Weiqi Ji , Weilun Qiu , Zhiyu Shi , Shaowu Pan , Sili Deng

Physics-informed neural networks (PINNs) have emerged as a powerful meshless tool for topology optimization, capable of simultaneously determining optimal topologies and physical solutions. However, conventional PINNs rely on density-based…

Machine Learning · Computer Science 2025-06-26 Yuanye Zhou , Zhaokun Wang , Kai Zhou , Hui Tang , Xiaofan Li

Machine learning and neural networks have advanced numerous research domains, but challenges such as large training data requirements and inconsistent model performance hinder their application in certain scientific problems. To overcome…

Machine Learning · Computer Science 2025-12-11 Hanwen Bi , Thushara D. Abhayapala

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

We present a new technique for the accelerated training of physics-informed neural networks (PINNs): discretely-trained PINNs (DT-PINNs). The repeated computation of partial derivative terms in the PINN loss functions via automatic…

Machine Learning · Computer Science 2023-01-31 Ramansh Sharma , Varun Shankar

Inferring biophysical parameters and hidden state variables from partial and noisy observations is a fundamental challenge in computational neuroscience. This problem is particularly difficult for fast - slow spiking and bursting models,…

Neural and Evolutionary Computing · Computer Science 2026-03-11 Changliang Wei , Yangyang Wang , Xueyu Zhu

The present study investigates the dynamics of nonlocal beams by establishing a consistent stress-driven integral elastic using the Physics-Informed Neural Network (PINN) approach. Specifically, a PINN is developed to compute the first…

Classical Physics · Physics 2026-01-16 Baidehi Das , Raffaele Barretta , Marko Čanađija

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…

Machine Learning · Computer Science 2025-12-01 Chi Zhang , Lin Wang

Physics-Informed Neural Networks (PINN) are algorithms from deep learning leveraging physical laws by including partial differential equations together with a respective set of boundary and initial conditions as penalty terms into their…

Machine Learning · Computer Science 2025-09-30 Rafael Bischof , Michael Kraus

The physics-informed neural network (PINN) is effective in solving the partial differential equation (PDE) by capturing the physics constraints as a part of the training loss function through the Automatic Differentiation (AD). This study…

Computational Physics · Physics 2022-02-17 Zixue Xiang , Wei Peng , Weien Zhou , Wen Yao

Solving inverse problems in dynamical systems governed by high-dimensional coupled ordinary differential equations (ODEs) is a ubiquitous challenge in scientific machine learning. In many real-world applications, researchers seek to uncover…

Machine Learning · Computer Science 2026-05-06 Zhao Wei , Kenneth Hor Cheng Koh , Sheng Yuan Chin , James Chun Yip Chan , Chin Chun Ooi , Yew-Soon Ong

Tensegrity structures possess intrinsic geometric symmetries that govern their dynamic behavior. However, most existing physics-informed neural network (PINN) approaches for tensegrity dynamics do not explicitly exploit these symmetries,…

Machine Learning · Computer Science 2026-03-19 Jing Qin , Muhao Chen

Spatiotemporal partial differential equations (PDEs) find extensive application across various scientific and engineering fields. While numerous models have emerged from both physics and machine learning (ML) communities, there is a growing…

Machine Learning · Computer Science 2024-08-21 Coşku Can Horuz , Matthias Karlbauer , Timothy Praditia , Sergey Oladyshkin , Wolfgang Nowak , Sebastian Otte

Physics-informed neural networks (PINNs) solve time-dependent partial differential equations (PDEs) by learning a mesh-free, differentiable solution that can be evaluated anywhere in space and time. However, standard space--time PINNs take…

Machine Learning · Computer Science 2026-01-29 Chen-Yang Dai , Che-Chia Chang , Te-Sheng Lin , Ming-Chih Lai , Chieh-Hsin Lai

Physics-Informed Neural Networks (PINNs) represent a groundbreaking paradigm in scientific computing, seamlessly integrating the robust framework of deep learning with fundamental physical laws. This paper meticulously applies the standard…

Numerical Analysis · Mathematics 2026-01-19 Ahmed Aberqi , Ahmed Miloudi

This work presents a physics-driven machine learning framework for the simulation of acoustic scattering problems. The proposed framework relies on a physics-informed neural network (PINN) architecture that leverages prior knowledge based…

Computational Physics · Physics 2024-08-06 Siddharth Nair , Timothy F. Walsh , Greg Pickrell , Fabio Semperlotti

This study benchmarks hybrid quantum physics-informed neural network (HQPINN) to model high-speed flows, compared against classical physics-informed neural networks (PINNs) and fully quantum neural networks (QNNs). The HQPINN architecture…

Computational Physics · Physics 2025-08-04 Fong Yew Leong , Wei-Bin Ewe , Tran Si Bui Quang , Zhongyuan Zhang , Jun Yong Khoo

Recent developments in acoustic signal processing have seen the integration of deep learning methodologies, alongside the continued prominence of classical wave expansion-based approaches, particularly in sound field reconstruction.…

Audio and Speech Processing · Electrical Eng. & Systems 2024-04-24 Marco Olivieri , Xenofon Karakonstantis , Mirco Pezzoli , Fabio Antonacci , Augusto Sarti , Efren Fernandez-Grande

The numerical modeling of thin shell structures is a challenge, which has been met by a variety of finite element (FE) and other formulations -- many of which give rise to new challenges, from complex implementations to artificial locking.…

Computational Engineering, Finance, and Science · Computer Science 2024-02-02 Jan-Hendrik Bastek , Dennis M. Kochmann