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This dissertation investigates physics-informed neural networks (PINNs) as candidate models for encoding governing equations, and assesses their performance on experimental data from two different systems. The first system is a simple…

Machine Learning · Computer Science 2024-01-09 Hamza Alsharif

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…

Machine Learning · Computer Science 2024-09-18 Shivprasad Kathane , Shyamprasad Karagadde

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

Making the control of building heating systems more energy efficient is crucial for reducing global energy consumption and greenhouse gas emissions. Traditional rule-based control methods use a static, outdoor temperature-dependent heating…

Applications · Statistics 2025-10-17 Emma Hannula , Arttu Häkkinen , Antti Solonen , Felipe Uribe , Jana de Wiljes , Lassi Roininen

A methodology is proposed, which addresses the caveat that line-of-sight emission spectroscopy presents in that it cannot provide spatially resolved temperature measurements in nonhomogeneous temperature fields. The aim of this research is…

Machine Learning · Computer Science 2022-12-16 Ruiyuan Kang , Dimitrios C. Kyritsis , Panos Liatsis

Machine Learning methods are emerging as faster and efficient alternatives to numerical simulation techniques. The field of Scientific Computing has started adopting these data-driven approaches to faithfully model physical phenomena using…

A novel Trunk-Branch (TB)-net physics-informed neural network (PINN) architecture is developed, which is a PINN-based method incorporating trunk and branch nets to capture both global and local features. The aim is to solve four main…

Machine Learning · Computer Science 2025-07-02 Haoyun Xing , Kaiyan Jin , Guice Yao , Jin Zhao , Dichu Xu , Dongsheng Wen

Physics-Informed Neural Networks (PINNs) have enabled significant improvements in modelling physical processes described by partial differential equations (PDEs). PINNs are based on simple architectures, and learn the behavior of complex…

Temperature-dependent transport data, including diffusion coefficients and ionic conductivities, are routinely analysed by fitting empirical models such as the Arrhenius equation. These fitted models yield parameters such as the activation…

Materials Science · Physics 2026-05-25 Andrew R. McCluskey , Samuel W. Coles , Benjamin J. Morgan

We propose characteristics-informed neural networks (CINN), a simple and efficient machine learning approach for solving forward and inverse problems involving hyperbolic PDEs. Like physics-informed neural networks (PINN), CINN is a…

Machine Learning · Computer Science 2023-01-16 Ulisses Braga-Neto

A fundamental problem in science and engineering is designing optimal control policies that steer a given system towards a desired outcome. This work proposes Control Physics-Informed Neural Networks (Control PINNs) that simultaneously…

Machine Learning · Computer Science 2022-08-22 Jostein Barry-Straume , Arash Sarshar , Andrey A. Popov , Adrian Sandu

We present a data-enabled physics-informed neural network (DEPINN) with comprehensive numerical study for solving industrial scale neutron diffusion eigenvalue problems (NDEPs). In order to achieve an engineering acceptable accuracy for…

Computational Physics · Physics 2022-11-15 Yu Yang , Helin Gong , Shiquan Zhang , Qihong Yang , Zhang Chen , Qiaolin He , Qing Li

The objective of this paper is to develop an Artificial Neural Network (ANN) model to estimate simultaneously, parameters and state of a brushed DC machine. The proposed ANN estimator is novel in the sense that his estimates simultaneously…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Hacene Mellah , Kamel Eddine Hemsas , Rachid Taleb

One use case of ``physics-informed neural networks'' (PINNs) is solution reconstruction, which aims to estimate the full-field state of a physical system from sparse measurements. Parameterized governing equations of the system are used in…

Computational Engineering, Finance, and Science · Computer Science 2025-05-09 Conor Rowan , Kurt Maute , Alireza Doostan

Flash floods in urban areas occur with increasing frequency. Detecting these floods would greatlyhelp alleviate human and economic losses. However, current flood prediction methods are eithertoo slow or too simplified to capture the flood…

Signal Processing · Electrical Eng. & Systems 2019-08-28 Kun Qian , Abduallah Mohamed , Christian Claudel

We are interested in the approximation of partial differential equations with a data-driven approach based on the reduced basis method and machine learning. We suppose that the phenomenon of interest can be modeled by a parametrized partial…

Numerical Analysis · Computer Science 2020-06-24 Niccolò Dal Santo , Simone Deparis , Luca Pegolotti

We present a physics-embedded Bayesian neural network (PE-BNN) framework that integrates fission product yields (FPYs) with prior nuclear physics knowledge to predict energy-dependent FPY data with fine structure. By incorporating an…

Traditional entropy-based methods - such as cross-entropy loss in classification problems - have long been essential tools for representing the information uncertainty and physical disorder in data and for developing artificial intelligence…

Machine Learning · Computer Science 2026-01-06 Shun Wang , Shun-Li Shang , Zi-Kui Liu , Wenrui Hao

Physics-informed neural networks (PINNs) were recently proposed in [1] as an alternative way to solve partial differential equations (PDEs). A neural network (NN) represents the solution while a PDE-induced NN is coupled to the solution NN,…

Computational Physics · Physics 2019-10-22 Xiaoli Chen , Jinqiao Duan , George Em Karniadakis

A sensorless speed, average temperature and resistance estimation technique based on Neural Network (NN) for brushed DC machines is proposed in this paper. The literature on parameters and state spaces estimations of the Brushed DC…

Signal Processing · Electrical Eng. & Systems 2021-04-12 Hacene Mellah , Kamel Eddine Hemsas , Rachid Taleb