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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

In climate science, models for global warming and weather prediction face significant challenges due to the limited availability of high-quality data and the difficulty in obtaining it, making data efficiency crucial. In the past few years,…

Machine Learning · Computer Science 2024-10-10 Sameera S Kashyap , Raj Abhijit Dandekar , Rajat Dandekar , Sreedath Panat

The use of machine learning in Structural Health Monitoring is becoming more common, as many of the inherent tasks (such as regression and classification) in developing condition-based assessment fall naturally into its remit. This chapter…

Machine Learning · Computer Science 2022-07-01 Elizabeth J Cross , Samuel J Gibson , Matthew R Jones , Daniel J Pitchforth , Sikai Zhang , Timothy J Rogers

Due largely to challenges associated with physical interpretability of machine learning (ML) methods, and because model interpretability is key to credibility in management applications, many scientists and practitioners are hesitant to…

Machine Learning · Computer Science 2025-11-11 Yuan-Heng Wang , Hoshin V. Gupta

Probabilistic forecasting is receiving growing attention nowadays in a variety of applied fields, including hydrology. Several machine learning concepts and methods are notably relevant towards addressing the major challenges of formalizing…

Machine Learning · Computer Science 2022-11-01 Georgia Papacharalampous , Hristos Tyralis

Data-driven machine learning models often require extensive datasets, which can be costly or inaccessible, and their predictions may fail to comply with established physical laws. Current approaches for incorporating physical priors…

Machine Learning · Computer Science 2025-11-19 Matilde Valente , Tiago C. Dias , Vasco Guerra , Rodrigo Ventura

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…

Machine Learning · Computer Science 2022-05-18 Khemraj Shukla , Mengjia Xu , Nathaniel Trask , George Em Karniadakis

We present a novel approach to modeling the ground state mass of atomic nuclei based directly on a probabilistic neural network constrained by relevant physics. Our Physically Interpretable Machine Learning (PIML) approach incorporates…

Nuclear Theory · Physics 2022-08-17 M. R. Mumpower , T. M. Sprouse , A. E. Lovell , A. T. Mohan

In a landscape where scientific discovery is increasingly driven by data, the integration of machine learning (ML) with traditional scientific methodologies has emerged as a transformative approach. This paper introduces a novel,…

Machine Learning · Computer Science 2024-06-26 Yunjin Tong

Urban flow prediction is a spatio-temporal modeling task that estimates the throughput of transportation services like buses, taxis, and ride-sharing, where data-driven models have become the most popular solution in the past decade.…

Machine Learning · Computer Science 2024-08-07 Wei Jiang , Tong Chen , Guanhua Ye , Wentao Zhang , Lizhen Cui , Zi Huang , Hongzhi Yin

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

In the context of the energy transition, with increasing integration of renewable sources and cross-border electricity exchanges, power grids are encountering greater uncertainty and operational risk. Maintaining grid stability under…

Machine Learning · Computer Science 2025-09-24 Milad Leyli-abadi , Antoine Marot , Jérôme Picault

The application of process-based and data-driven hydrological models is crucial in modern hydrological research, especially for predicting key water cycle variables such as runoff, evapotranspiration (ET), and soil moisture. These models…

Geophysics · Physics 2024-08-14 Haiyang Shi

The high-pressure transportation process of pipeline necessitates an accurate hydraulic transient simulation tool to prevent slack line flow and over-pressure, which can endanger pipeline operations. However, current numerical solution…

Computational Engineering, Finance, and Science · Computer Science 2024-09-18 Jian Du , Haochong Li , Qi Liao , Jun Shen , Jianqin Zheng , Yongtu Liang

Effective riverine flood forecasting at scale is hindered by a multitude of factors, most notably the need to rely on human calibration in current methodology, the limited amount of data for a specific location, and the computational…

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

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

Extreme weather variations and the increasing unpredictability of load behavior make it difficult to determine power grid dispatches that are robust to uncertainties. While machine learning (ML) methods have improved the ability to model…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Aayushya Agarwal , Larry Pileggi

A hybrid physics-machine learning modeling framework is proposed for the surface vehicles' maneuvering motions to address the modeling capability and stability in the presence of environmental disturbances. From a deep learning perspective,…

Robotics · Computer Science 2025-03-27 Zihao Wang , Jian Cheng , Liang Xu , Lizhu Hao , Yan Peng

Machine Learning (ML) has widely been used for modeling and predicting physical systems. These techniques offer high expressive power and good generalizability for interpolation within observed data sets. However, the disadvantage of…

Machine Learning · Statistics 2023-03-02 Omid Sedehi , Antonina M. Kosikova , Costas Papadimitriou , Lambros S. Katafygiotis