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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…

机器学习 · 计算机科学 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…

计算物理 · 物理学 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,…

机器学习 · 计算机科学 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…

系统与控制 · 电气工程与系统科学 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…

斑图形成与孤子 · 物理学 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.…

机器学习 · 计算机科学 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…

流体动力学 · 物理学 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…

音频与语音处理 · 电气工程与系统科学 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…

数值分析 · 数学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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,…

太阳与恒星天体物理 · 物理学 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.…

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…

数值分析 · 数学 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…

流体动力学 · 物理学 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…

流体动力学 · 物理学 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…

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…

计算工程、金融与科学 · 计算机科学 2022-12-19 M. Vahab , B. Shahbodagh , E. Haghighat , N. Khalili