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Scientific machine learning (SciML) methods such as physics-informed neural networks (PINNs) are used to estimate parameters of interest from governing equations and small quantities of data. However, there has been little work in assessing…

Fluid Dynamics · Physics 2024-09-02 Alexander New , Marisel Villafañe-Delgado , Charles Shugert

Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems, whose basic concept is to embed physical laws to constrain/inform neural networks, with the need of less data for training…

Fluid Dynamics · Physics 2020-11-24 Chengping Rao , Hao Sun , Yang Liu

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…

Machine Learning · Computer Science 2024-12-30 R. Sharma , Y. B. Guo

Physics-informed neural networks (PINNs) is an emerging category of neural networks which can be trained to solve supervised learning tasks while taking into consideration given laws of physics described by general nonlinear partial…

Cryptography and Security · Computer Science 2026-04-07 Solon Falas , Charalambos Konstantinou , Maria K. Michael

Physics-informed neural networks (PINNs) are numerical solvers that embed all the physical information of a system into the loss function of a neural network. In this way the learned solution accounts for data (if available), the governing…

Computational Physics · Physics 2025-07-30 Andrés Martínez-Esteban , Pablo Calvo-Barlés , Luis Martín-Moreno , Sergio G Rodrigo

Numerical modeling errors are unavoidable in finite element analysis. The presence of model errors inherently reflects both model accuracy and uncertainty. To date there have been few methods for explicitly quantifying errors at points of…

Machine Learning · Computer Science 2024-11-19 Bozhou Zhuang , Sashank Rana , Brandon Jones , Danny Smyl

Physics-informed neural networks (PINNs) are a promising approach that combines the power of neural networks with the interpretability of physical modeling. PINNs have shown good practical performance in solving partial differential…

Statistics Theory · Mathematics 2026-01-26 Nathan Doumèche , Gérard Biau , Claire Boyer

A significant increase in renewable energy production is necessary to achieve the UN's net-zero emission targets for 2050. Using power-electronic controllers, such as Phase Locked Loops (PLLs), to keep grid-tied renewable resources in…

Systems and Control · Electrical Eng. & Systems 2023-03-23 Rahul Nellikkath , Andreas Venzke , Mohammad Kazem Bakhshizadeh , Ilgiz Murzakhanov , Spyros Chatzivasileiadis

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…

Machine Learning · Computer Science 2026-05-25 R. Sharma , Y. B. Guo

Accurate prediction of vehicle collision dynamics is crucial for advanced safety systems and post-impact control applications, yet existing methods face inherent trade-offs among computational efficiency, prediction accuracy, and data…

Systems and Control · Electrical Eng. & Systems 2025-10-16 Yangye Jiang , Jiachen Wang , Daofei Li

Recent work in scientific machine learning has developed so-called physics-informed neural network (PINN) models. The typical approach is to incorporate physical domain knowledge as soft constraints on an empirical loss function and use…

Machine Learning · Computer Science 2021-11-12 Aditi S. Krishnapriyan , Amir Gholami , Shandian Zhe , Robert M. Kirby , Michael W. Mahoney

The physics-based modeling has been the workhorse for many decades in many scientific and engineering applications ranging from wind power, weather forecasting, and aircraft design. Recently, data-driven models are increasingly becoming…

Computational Physics · Physics 2021-01-18 Suraj Pawar , Shady E. Ahmed , Omer San , Adil Rasheed

Physics-informed machine learning has been a promising data-driven and physics-informed approach in geotechnical engineering. This study proposes a physics-informed extreme learning machine (PIELM) framework for analyzing tunneling-induced…

Machine Learning · Computer Science 2025-10-02 Fu-Chen Guo , Pei-Zhi Zhuang , Fei Ren , Hong-Ya Yue , He Yang

A recent development in machine learning - physics-informed deep learning (PIDL) - presents unique advantages in transportation applications such as traffic state estimation. Consolidating the benefits of deep learning (DL) and the…

Machine Learning · Computer Science 2023-02-27 Archie J. Huang , Shaurya Agarwal

Physics-Informed Neural Networks (PINNs) have emerged as a promising computational framework for solving differential equations by integrating deep learning with physical constraints. However, their application in gas turbines is still in…

Computational Engineering, Finance, and Science · Computer Science 2025-06-25 Afila Ajithkumar Sophiya , Sepehr Maleki , Giuseppe Bruni , Senthil K. Krishnababu

We present the application of a class of deep learning, known as Physics Informed Neural Networks (PINN), to learning and discovery in solid mechanics. We explain how to incorporate the momentum balance and constitutive relations into PINN,…

Machine Learning · Computer Science 2020-05-12 Ehsan Haghighat , Maziar Raissi , Adrian Moure , Hector Gomez , Ruben Juanes

In an era increasingly focused on green computing and explainable AI, revisiting traditional approaches in theoretical and phenomenological particle physics is paramount. This project evaluates various machine learning (ML)…

High Energy Physics - Phenomenology · Physics 2025-04-30 Vasileios Vatellis

A physics-informed neural network (PINN) models the dynamics of a system by integrating the governing physical laws into the architecture of a neural network. By enforcing physical laws as constraints, PINN overcomes challenges with data…

Machine Learning · Computer Science 2025-04-23 Pengtao Dang , Tingbo Guo , Melissa Fishel , Guang Lin , Wenzhuo Wu , Sha Cao , Chi Zhang

This paper introduces a physics-informed machine learning approach for pathloss prediction. This is achieved by including in the training phase simultaneously (i) physical dependencies between spatial loss field and (ii) measured pathloss…

Machine Learning · Statistics 2023-12-15 Steffen Limmer , Alberto Martinez Alba , Nicola Michailow

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving partial differential equations (PDEs) by embedding physical laws into neural network training. However, traditional PINN models are typically designed…

Machine Learning · Computer Science 2025-05-05 Keon Vin Park