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Physics-Informed Neural Networks (PINNs) have recently been proposed to solve scientific and engineering problems, where physical laws are introduced into neural networks as prior knowledge. With the embedded physical laws, PINNs enable the…

机器学习 · 计算机科学 2022-12-09 Xinle Wu , Dalin Zhang , Miao Zhang , Chenjuan Guo , Shuai Zhao , Yi Zhang , Huai Wang , Bin Yang

Physics-informed neural networks (PINNs) have been widely applied in different fields due to their effectiveness in solving partial differential equations (PDEs). However, the accuracy and efficiency of PINNs need to be considerably…

机器学习 · 计算机科学 2023-08-16 Weilong Guan , Kaihan Yang , Yinsheng Chen , Zhong Guan

Inverse problems arise almost everywhere in science and engineering where we need to infer on a quantity from indirect observation. The cases of medical, biomedical, and industrial imaging systems are the typical examples. A very high…

机器学习 · 计算机科学 2025-02-20 Ali Mohammad-Djafari

Given the existence of various forward and inverse problems in combustion studies and applications that necessitate distinct methods for resolution, a framework to solve them in a unified way is critically needed. A promising approach is…

机器学习 · 计算机科学 2024-06-14 Jiahao Wu , Su Zhang , Yuxin Wu , Guihua Zhang , Xin Li , Hai Zhang

Intelligent detection and processing capabilities can be instrumental to improving the safety, efficiency, and successful completion of rescue missions conducted by firefighters in emergency first response settings. The objective of this…

计算机视觉与模式识别 · 计算机科学 2020-04-21 Manish Bhattarai , Manel Martínez-Ramón

We employ Physics-Informed Neural Networks (PINNs) to solve the diffusion of heavy quarks within the expanding hot QCD medium generated in relativistic heavy-ion collisions. Due to the strong coupling between heavy quarks and the bulk…

核理论 · 物理学 2026-01-13 Wenhua Fan , Jiamin Liu , Huansang Yang , Baoyi Chen

Physics-informed neural networks (PINNs) are extensively used to represent various physical systems across multiple scientific domains. The same can be said for cardiac electrophysiology, wherein fully-connected neural networks (FCNNs) have…

计算工程、金融与科学 · 计算机科学 2025-06-19 Roshan Antony Gomez , Julien Stöcker , Barış Cansız , Michael Kaliske

We propose a novel machine learning algorithm for simulating radiative transfer. Our algorithm is based on physics informed neural networks (PINNs), which are trained by minimizing the residual of the underlying radiative tranfer equations.…

机器学习 · 计算机科学 2023-12-07 Siddhartha Mishra , Roberto Molinaro

Physics-informed neural networks (PINNs) have emerged as a powerful paradigm for solving partial differential equations (PDEs) by embedding physical laws directly into neural network training. However, solving high-fidelity PDEs remains…

机器学习 · 计算机科学 2026-02-03 Olaf Yunus Laitinen Imanov

In this paper, a novel principle-driven fiber transmission model based on physical induced neural network (PINN) is proposed. Unlike data-driven models which regard fiber transmission problem as data regression tasks, this model views it as…

信号处理 · 电气工程与系统科学 2022-04-20 Yubin Zang , Zhenming Yu , Kun Xu , Xingzeng Lan , Minghua Chen , Sigang Yang , Hongwei Chen

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

Data-driven discovery of governing equations in computational science has emerged as a new paradigm for obtaining accurate physical models and as a possible alternative to theoretical derivations. The recently developed physics-informed…

机器学习 · 计算机科学 2023-10-18 Zongren Zou , Xuhui Meng , George Em Karniadakis

For many systems in science and engineering, the governing differential equation is either not known or known in an approximate sense. Analyses and design of such systems are governed by data collected from the field and/or laboratory…

机器学习 · 计算机科学 2021-02-03 Souvik Chakraborty

The widespread use of neural networks across different scientific domains often involves constraining them to satisfy certain symmetries, conservation laws, or other domain knowledge. Such constraints are often imposed as soft penalties…

机器学习 · 计算机科学 2020-01-15 Sifan Wang , Yujun Teng , Paris Perdikaris

Physics-Informed Neural Networks (PINNs) are a class of deep learning neural networks that learn the response of a physical system without any simulation data, and only by incorporating the governing partial differential equations (PDEs) in…

机器学习 · 计算机科学 2023-12-19 Rini J. Gladstone , Mohammad A. Nabian , N. Sukumar , Ankit Srivastava , Hadi Meidani

The transformative impact of machine learning, particularly Deep Learning (DL), on scientific and engineering domains is evident. In the context of computational fluid dynamics (CFD), Physics-Informed Neural Networks (PINNs) represent a…

流体动力学 · 物理学 2024-04-05 Siddharth Raghu , Rajdip Nayek , Vamsi Chalamalla

Radiation heat transfer in a graded-index medium often suffers accuracy problems due to the gradual changes in the refractive index. The finite element method, meshfree, and other numerical methods often struggle to maintain accuracy when…

数值分析 · 数学 2024-12-25 K. Murari , S. Sundar

Our recent intensive study has found that physics-informed neural networks (PINN) tend to be local approximators after training. This observation leads to this novel physics-informed radial basis network (PIRBN), which can maintain the…

机器学习 · 计算机科学 2023-08-16 Jinshuai Bai , Gui-Rong Liu , Ashish Gupta , Laith Alzubaidi , Xi-Qiao Feng , YuanTong Gu

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…

机器学习 · 计算机科学 2025-04-08 Marius Almanstötter , Roman Vetter , Dagmar Iber

Physics-Informed Neural Networks (PINNs) have advanced the data-driven solution of differential equations (DEs) in dynamic physical systems, yet challenges remain in explainability, scalability, and architectural complexity. This paper…

信号处理 · 电气工程与系统科学 2025-12-03 Ibrahim Shahbaz , Mohammad J. Abdel-Rahman , Eman Hammad
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