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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…

Scientific machine learning (SciML) represents a significant advancement in integrating machine learning (ML) with scientific methodologies. At the forefront of this development are Physics-Informed Neural Networks (PINNs), which offer a…

机器学习 · 计算机科学 2024-11-19 Reyhaneh Taj

Parameter estimation remains a challenging task across many areas of engineering. Because data acquisition can often be costly, limited, or prone to inaccuracies (noise, uncertainty) it is crucial to identify sensor configurations that…

机器学习 · 统计学 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

Physics-informed neural networks (PINNs) offer a novel AI-driven framework for integrating physical laws directly into neural network models, facilitating the solution of complex multiphysics problems in materials engineering. This study…

材料科学 · 物理学 2025-10-14 Mohid Farooqi , Ingmar Bösing , Conrard G. Tetsassi Feugmo

Physics-Informed Neural Network (PINN) is a novel multi-task learning framework useful for solving physical problems modeled using differential equations (DEs) by integrating the knowledge of physics and known constraints into the…

机器学习 · 计算机科学 2024-09-18 Shivprasad Kathane , Shyamprasad Karagadde

Differential equations are indispensable to engineering and hence to innovation. In recent years, physics-informed neural networks (PINN) have emerged as a novel method for solving differential equations. PINN method has the advantage of…

计算工程、金融与科学 · 计算机科学 2022-01-07 Mayank Raj , Pramod Kumbhar , Ratna Kumar Annabattula

Understanding thermal stress evolution in metal additive manufacturing (AM) is crucial for producing high-quality components. Recent advancements in machine learning (ML) have shown great potential for modeling complex multiphysics problems…

机器学习 · 计算机科学 2024-12-30 R. Sharma , Y. B. Guo

The recent explosion of machine learning (ML) and artificial intelligence (AI) shows great potential in the breakthrough of metal additive manufacturing (AM) process modeling. However, the success of conventional machine learning tools in…

计算工程、金融与科学 · 计算机科学 2020-09-17 Qiming Zhu , Zeliang Liu , Jinhui Yan

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

机器学习 · 计算机科学 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

Physics-informed neural networks (PINNs) as a means of discretizing partial differential equations (PDEs) are garnering much attention in the Computational Science and Engineering (CS&E) world. At least two challenges exist for PINNs at…

计算物理 · 物理学 2023-01-23 Michael Penwarden , Shandian Zhe , Akil Narayan , Robert M. Kirby

A physics-informed neural network (PINN), which has been recently proposed by Raissi et al [J. Comp. Phys. 378, pp. 686-707 (2019)], is applied to the partial differential equation (PDE) of liquid film flows. The PDE considered is the time…

Achieving clean combustion systems is crucial in terms of solving environmental impacts, decarbonization needs and sustainability matters. Traditional combustion modeling techniques via computational fluid dynamics with accurate chemical…

流体动力学 · 物理学 2025-09-11 Mahmood Mousavi , Caleb Caldwell , Jacob Baltes , Muteb Aljasem , Bok Jik Lee

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

计算物理 · 物理学 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

Wire-arc directed energy deposition (DED) has emerged as a promising additive manufacturing (AM) technology for large-scale structural engineering applications. However, the complex thermal dynamics inherent to the process present…

计算工程、金融与科学 · 计算机科学 2025-07-15 Michael Ryan , Mohammad Hassan Baqershahi , Hessamoddin Moshayedi , Elyas Ghafoori

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

In chemical engineering, process data are expensive to acquire, and complex phenomena are difficult to fully model. We explore the use of physics-informed neural networks (PINNs) for modeling dynamic processes with incomplete mechanistic…

机器学习 · 计算机科学 2024-10-01 Mehmet Velioglu , Song Zhai , Sophia Rupprecht , Alexander Mitsos , Andreas Jupke , Manuel Dahmen

Physics-informed neural networks (PINNs) have emerged as a versatile and widely applicable concept across various science and engineering domains over the past decade. This article offers a comprehensive overview of the fundamentals of…

计算工程、金融与科学 · 计算机科学 2024-10-02 Sai Ganga , Ziya Uddin

Physics-Informed Neural Networks (PINNs) have received increased interest for forward, inverse, and surrogate modeling of problems described by partial differential equations (PDE). However, their application to multiphysics problem,…

机器学习 · 计算机科学 2022-09-09 Danial Amini , Ehsan Haghighat , Ruben Juanes

The integration of machine learning with domain-specific physics is transforming the design, monitoring, and control of electricity systems, where data scarcity, limited interpretability, and the need to enforce physical laws constrain…

系统与控制 · 电气工程与系统科学 2026-05-22 Joseph Nyangon

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…

数值分析 · 数学 2021-11-17 Weiqi Ji , Weilun Qiu , Zhiyu Shi , Shaowu Pan , Sili Deng
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