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Current modeling approaches for hydrological modeling often rely on either physics-based or data-science methods, including Machine Learning (ML) algorithms. While physics-based models tend to rigid structure resulting in unrealistic…

机器学习 · 统计学 2021-04-23 Pravin Bhasme , Jenil Vagadiya , Udit Bhatia

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,…

机器学习 · 计算机科学 2025-05-05 D. Patel , R. Sharma , Y. B. Guo

Physics-informed machine learning (PIML) has emerged as a promising new approach for simulating complex physical and biological systems that are governed by complex multiscale processes for which some data are also available. In some…

机器学习 · 计算机科学 2022-05-18 Khemraj Shukla , Mengjia Xu , Nathaniel Trask , George Em Karniadakis

This paper is aimed at using the newly developing field of physics informed machine learning (PIML) to develop models for predicting the remaining useful lifetime (RUL) aircraft engines. We consider the well-known benchmark NASA Commercial…

机器学习 · 计算机科学 2024-06-25 Sriram Nagaraj , Truman Hickok

Car-following behavior has been extensively studied using physics-based models, such as the Intelligent Driver Model. These models successfully interpret traffic phenomena observed in the real-world but may not fully capture the complex…

机器学习 · 计算机科学 2021-07-15 Zhaobin Mo , Xuan Di , Rongye Shi

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…

机器学习 · 统计学 2025-10-31 Mara Daniels , Liam Hodgkinson , Michael Mahoney

Physics-informed machine learning (PIML) integrates mechanistic knowledge, typically in the form of partial differential equations (PDE), into data-driven models. Despite strong empirical performance, its statistical generalisation…

机器学习 · 计算机科学 2026-05-27 Thien V. Nguyen , Amaury Habrard , Benjamin Guedj

Physics-informed deep learning (PIDL)-based models have recently garnered remarkable success in traffic state estimation (TSE). However, the prior knowledge used to guide regularization training in current mainstream architectures is based…

机器学习 · 计算机科学 2024-09-04 Ting Wang , Ye Li , Rongjun Cheng , Guojian Zou , Takao Dantsujic , Dong Ngoduy

The integration of machine learning with domain-specific physics is transforming the design, monitoring, and control of electricity systems, where data scarcity, limited interpretability, and the need to enforce physical laws constrain…

系统与控制 · 电气工程与系统科学 2026-05-22 Joseph Nyangon

Although an increased availability of computational resources has enabled high-fidelity simulations of turbulent flows, the RANS models are still the dominant tools for industrial applications. However, the predictive capabilities of RANS…

流体动力学 · 物理学 2018-11-19 Jian-Xun Wang , Jinlong Wu , Julia Ling , Gianluca Iaccarino , Heng Xiao

Inverter-based resources (IBRs) exhibit fast transient dynamics during network disturbances, which often cannot be properly captured by phasor and SCADA measurements. This shortcoming has recently been addressed with the advent of waveform…

信号处理 · 电气工程与系统科学 2026-01-27 Shivanshu Tripathi , Hossein Mohsenzadeh Yazdi , Maziar Raissi , Hamed Mohsenian-Rad

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…

机器学习 · 计算机科学 2023-04-04 Taniya Kapoor , Hongrui Wang , Alfredo Núñez , Rolf Dollevoet

Physics-informed machine learning (PIML) represents an emerging paradigm that integrates various forms of physical knowledge into machine learning (ML) components, thereby enhancing the physical consistency of ML models compared to purely…

化学物理 · 物理学 2025-10-28 Jiahao Wu , Xutun Wang , Guihua Zhang , Jiayue Liu , Xin Li , Yang Zhang , Hai Zhang , Junfu Lyu , Bing Wang , Yuxin Wu

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…

机器学习 · 统计学 2025-09-23 Nathan Doumèche , Francis Bach , Gérard Biau , Claire Boyer

We present a physics-informed machine learning (PIML) scheme for the feedback linearization of nonlinear discrete-time dynamical systems. The PIML finds the nonlinear transformation law, thus ensuring stability via pole placement, in one…

For its robust predictive power (compared to pure physics-based models) and sample-efficient training (compared to pure deep learning models), physics-informed deep learning (PIDL), a paradigm hybridizing physics-based models and deep…

机器学习 · 计算机科学 2023-07-04 Xuan Di , Rongye Shi , Zhaobin Mo , Yongjie Fu

Physics-informed machine learning (PIML) as a means of solving partial differential equations (PDE) has garnered much attention in the Computational Science and Engineering (CS&E) world. This topic encompasses a broad array of methods and…

机器学习 · 计算机科学 2024-09-05 Michael Penwarden , Houman Owhadi , Robert M. Kirby

Current hydrological modeling methods combine data-driven Machine Learning (ML) algorithms and traditional physics-based models to address their respective limitations incorrect parameter estimates from rigid physics-based models and the…

机器学习 · 计算机科学 2024-02-22 Mostafa Esmaeilzadeh , Melika Amirzadeh

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…

机器学习 · 计算机科学 2021-11-12 Aditi S. Krishnapriyan , Amir Gholami , Shandian Zhe , Robert M. Kirby , Michael W. Mahoney

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)…

机器学习 · 计算机科学 2025-07-14 Manaswin Oddiraju , Bharath Varma Penumatsa , Divyang Amin , Michael Piedmonte , Souma Chowdhury