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Substitution of well-grounded theoretical models by data-driven predictions is not as simple in engineering and sciences as it is in social and economic fields. Scientific problems suffer most times from paucity of data, while they may…

Machine Learning · Computer Science 2020-11-18 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Jose Antonio Sanz-Herrera , Manuel Doblaré

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

Numerical Analysis · Mathematics 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

The complexity of real-world geophysical systems is often compounded by the fact that the observed measurements depend on hidden variables. These latent variables include unresolved small scales and/or rapidly evolving processes, partially…

Data-driven methods have become increasingly more prominent for musculoskeletal modelling due to their conceptually intuitive simple and fast implementation. However, the performance of a pre-trained data-driven model using the data from…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Jie Zhang , Yihui Zhao , Tianzhe Bao , Zhenhong Li , Kun Qian , Alejandro F. Frangi , Sheng Quan Xie , Zhi-Qiang Zhang

We present a method that employs physics-informed deep learning techniques for parametrically solving partial differential equations. The focus is on the steady-state heat equations within heterogeneous solids exhibiting significant phase…

Machine Learning · Computer Science 2024-01-05 Shahed Rezaei , Ahmad Moeineddin , Michael Kaliske , Markus Apel

Transfer Learning (TL) is currently the most effective approach for modeling building thermal dynamics when only limited data are available. TL uses a pretrained model that is fine-tuned to a specific target building. However, it remains…

Systems and Control · Electrical Eng. & Systems 2025-12-12 Fabian Raisch , Max Langtry , Felix Koch , Ruchi Choudhary , Christoph Goebel , Benjamin Tischler

The development of current building energy system operation has benefited from: 1. Informational support from the optimal design through simulation or first-principles models; 2. System load and energy prediction through machine learning…

Machine Learning · Computer Science 2023-02-22 Xia Chen , Xiaoye Cai , Alexander Kümpel , Dirk Müller , Philipp Geyer

Thermal plasma properties play a critical role in plasma simulations and plasma-related applications. However, their strong nonlinear dependence on temperature, pressure, and gas composition makes accurate and efficient evaluation…

Plasma Physics · Physics 2026-05-01 Zuo Wang , Linlin Zhong

This paper presents a physics-based data-driven method to learn predictive reduced-order models (ROMs) from high-fidelity simulations, and illustrates it in the challenging context of a single-injector combustion process. The method…

Computational Physics · Physics 2020-07-14 Renee Swischuk , Boris Kramer , Cheng Huang , Karen Willcox

Global warming accelerates permafrost degradation, impacting the reliability of critical infrastructure used by more than five million people daily. Furthermore, permafrost thaw produces substantial methane emissions, further accelerating…

It is estimated that about 40%-50% of total electricity consumption in commercial buildings can be attributed to Heating, Ventilation, and Air Conditioning (HVAC) systems. Minimizing the energy cost while considering the thermal comfort of…

Machine Learning · Computer Science 2021-10-27 Vinay Hanumaiah , Sahika Genc

Neural networks offer powerful tools to solve partial differential equations (PDEs). We present a Variational Physics-Informed Neural Network (VPINN) designed for parabolic problems. Our approach combines a classical time discretization…

Numerical Analysis · Mathematics 2026-03-06 Manuela Bastidas Olivares , Josué David Acosta Castrillón , Diego A. Muñoz

Thermal Energy Storage (TES) using Phase Change Materials (PCMs) represents a critical technology for sustainable energy management and grid stability. This study presents a novel Physics-Driven Deep Learning (PDDL) framework for modeling…

Mathematical Physics · Physics 2025-12-02 Meraj Hassanzadeh , Ehsan Ghaderi , Fatemeh Fatahi , Mohamad Ali Bijarchi

We develop a method to learn physical systems from data that employs feedforward neural networks and whose predictions comply with the first and second principles of thermodynamics. The method employs a minimum amount of data by enforcing…

Machine Learning · Computer Science 2020-11-16 Quercus Hernández , Alberto Badias , David Gonzalez , Francisco Chinesta , Elias Cueto

This tutorial paper focuses on safe physics-informed machine learning in the context of dynamics and control, providing a comprehensive overview of how to integrate physical models and safety guarantees. As machine learning techniques…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Jan Drgona , Truong X. Nghiem , Thomas Beckers , Mahyar Fazlyab , Enrique Mallada , Colin Jones , Draguna Vrabie , Steven L. Brunton , Rolf Findeisen

Despite the successful implementations of physics-informed neural networks in different scientific domains, it has been shown that for complex nonlinear systems, achieving an accurate model requires extensive hyperparameter tuning, network…

Computational Engineering, Finance, and Science · Computer Science 2022-11-30 Milad Ramezankhani , Amir Nazemi , Apurva Narayan , Heinz Voggenreiter , Mehrtash Harandi , Rudolf Seethaler , Abbas S. Milani

Weather forecasting is essential but remains computationally intensive and physically incomplete in traditional numerical weather prediction (NWP) methods. Deep learning (DL) models offer efficiency and accuracy but often ignore physical…

Machine Learning · Computer Science 2025-05-26 Yingtao Luo , Shikai Fang , Binqing Wu , Qingsong Wen , Liang Sun

In this paper, we introduce a novel framework for combining scientific knowledge within physics-based models and recurrent neural networks to advance scientific discovery in many dynamical systems. We will first describe the use of outputs…

Machine Learning · Computer Science 2018-10-09 Xiaowei Jia , Anuj Karpatne , Jared Willard , Michael Steinbach , Jordan Read , Paul C Hanson , Hilary A Dugan , Vipin Kumar

In this work, an efficient physics-constrained deep learning model is developed for solving multiphase flow in 3D heterogeneous porous media. The model fully leverages the spatial topology predictive capability of convolutional neural…

Geophysics · Physics 2021-05-21 Bicheng Yan , Dylan Robert Harp , Bailian Chen , Rajesh Pawar

Physical phenomena in the real world are often described by energy-based modeling theories, such as Hamiltonian mechanics or the Landau theory, which yield various physical laws. Recent developments in neural networks have enabled the…

Numerical Analysis · Mathematics 2020-11-03 Takashi Matsubara , Ai Ishikawa , Takaharu Yaguchi
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