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Related papers: Transforming physics-informed machine learning to …

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This paper presents a new approach to simulate forward and inverse problems of moving loads using physics-informed machine learning (PIML). Physics-informed neural networks (PINNs) utilize the underlying physics of moving load problems and…

Machine Learning · Computer Science 2023-04-04 Taniya Kapoor , Hongrui Wang , Alfredo Núñez , Rolf Dollevoet

We review four types of algorithms for physics-informed machine learning (PIML) inversion of geophysical data. The unifying equation is given by the joint objective function $\epsilon$: \begin{eqnarray} \epsilon^{||-PIML}&=&\lambda_1…

Geophysics · Physics 2023-10-13 Gerard T. Schuster , Shihang Feng

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…

Machine Learning · Computer Science 2024-11-19 Reyhaneh Taj

Physics-informed machine learning typically integrates physical priors into the learning process by minimizing a loss function that includes both a data-driven term and a partial differential equation (PDE) regularization. Building on the…

Machine Learning · Statistics 2025-09-23 Nathan Doumèche , Francis Bach , Gérard Biau , Claire Boyer

Physics-informed machine learning (PIML) is emerging as a potentially transformative paradigm for modeling complex biomedical systems by integrating parameterized physical laws with data-driven methods. Here, we review three main classes of…

Machine Learning · Computer Science 2025-10-08 Nazanin Ahmadi , Qianying Cao , Jay D. Humphrey , George Em Karniadakis

Building performance simulation (BPS) is critical for understanding building dynamics and behavior, analyzing performance of the built environment, optimizing energy efficiency, improving demand flexibility, and enhancing building…

Systems and Control · Electrical Eng. & Systems 2025-05-26 Zixin Jiang , Xuezheng Wang , Han Li , Tianzhen Hong , Fengqi You , Ján Drgoňa , Draguna Vrabie , Bing Dong

Metal additive manufacturing enables unprecedented design freedom and the production of customized, complex components. However, the rapid melting and solidification dynamics inherent to metal AM processes generate heterogeneous,…

Machine Learning · Computer Science 2025-05-05 D. Patel , R. Sharma , Y. B. Guo

Physics informed neural networks (PINNs) have recently been proposed as surrogate models for solving process optimization problems. However, in an active learning setting collecting enough data for reliably training PINNs poses a challenge.…

Systems and Control · Electrical Eng. & Systems 2024-02-22 Liqiu Dong , Marta Zagorowska , Tong Liu , Alex Durkin , Mehmet Mercangöz

Scientific Machine Learning (SciML) is a recently emerged research field which combines physics-based and data-driven models for the numerical approximation of differential problems. Physics-based models rely on the physical understanding…

Numerical Analysis · Mathematics 2025-04-04 Alfio Quarteroni , Paola Gervasio , Francesco Regazzoni

Physics-informed neural networks (PINNs) effectively embed physical principles into machine learning, but often struggle with complex or alternating geometries. We propose a novel method for integrating geometric transformations within…

Machine Learning · Computer Science 2023-11-30 Samuel Burbulla

Quantifying and propagating modeling uncertainties is crucial for reliability analysis, robust optimization, and other model-based algorithmic processes in engineering design and control. Now, physics-informed machine learning (PIML)…

Machine Learning · Computer Science 2025-07-14 Manaswin Oddiraju , Bharath Varma Penumatsa , Divyang Amin , Michael Piedmonte , Souma Chowdhury

Complex optimal design and control processes often require repeated evaluations of expensive objective functions and consist of large design spaces. Data-driven surrogates such as neural networks and Gaussian processes provide an attractive…

Computational Engineering, Finance, and Science · Computer Science 2023-07-10 Manaswin Oddiraju , Divyang Amin , Michael Piedmonte , Souma Chowdhury

This study investigates why physics-informed machine learning (PIML) can fail in macroscopic traffic flow modeling. We define failure as cases where a PIML model underperforms both purely data-driven and purely physics-based baselines by a…

Machine Learning · Computer Science 2025-09-16 Yuan-Zheng Lei , Yaobang Gong , Dianwei Chen , Yao Cheng , Xianfeng Terry Yang

The unprecedented amount of data generated from experiments, field observations, and large-scale numerical simulations at a wide range of spatio-temporal scales have enabled the rapid advancement of data-driven and especially deep learning…

Computational Physics · Physics 2024-06-19 Suraj Pawar , Omer San , Aditya Nair , Adil Rasheed , Trond Kvamsdal

We demonstrate that embedding physics-driven constraints into machine learning process can dramatically improve accuracy and generalizability of the resulting model. Physics-informed learning is illustrated on the example of analysis of…

Computational Physics · Physics 2021-12-16 Abantika Ghosh , Mohannad Elhamod , Jie Bu , Wei-Cheng Lee , Anuj Karpatne , Viktor A Podolskiy

The mass loss of the polar ice sheets contributes considerably to ongoing sea-level rise and changing ocean circulation, leading to coastal flooding and risking the homes and livelihoods of tens of millions of people globally. To address…

Machine Learning · Computer Science 2024-05-01 Zesheng Liu , YoungHyun Koo , Maryam Rahnemoonfar

Physics-constrained machine learning (PCML) combines physical models with data-driven approaches to improve reliability, generalizability, and interpretability. Although PCML has shown significant benefits in diverse scientific and…

Machine Learning · Computer Science 2025-08-29 Angan Mukherjee , Victor M. Zavala

The intersection of physics and machine learning has given rise to the physics-enhanced machine learning (PEML) paradigm, aiming to improve the capabilities and reduce the individual shortcomings of data- or physics-only methods. In this…

Machine Learning · Computer Science 2024-04-23 Marcus Haywood-Alexander , Wei Liu , Kiran Bacsa , Zhilu Lai , Eleni Chatzi

We are delighted to see the recent development of physics-informed extreme learning machine (PIELM) for its higher computational efficiency and accuracy compared to other physics-informed machine learning (PIML) paradigms. Since a…

Machine Learning · Computer Science 2025-11-04 He Yang , Fei Ren , Francesco Calabro , Hai-Sui Yu , Xiaohui Chen , Pei-Zhi Zhuang

Physics-informed machine learning (PIML) integrates prior physical information, often in the form of differential equation constraints, into the process of fitting machine learning models to physical data. Popular PIML approaches, including…

Machine Learning · Statistics 2025-10-31 Mara Daniels , Liam Hodgkinson , Michael Mahoney