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Related papers: Scientific machine learning in Hydrology: a unifie…

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Accurate hydrological understanding and water cycle prediction are crucial for addressing scientific and societal challenges associated with the management of water resources, particularly under the dynamic influence of anthropogenic…

Machine Learning · Computer Science 2024-07-15 Qingsong Xu , Yilei Shi , Jonathan Bamber , Ye Tuo , Ralf Ludwig , Xiao Xiang Zhu

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

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…

Machine Learning · Statistics 2021-04-23 Pravin Bhasme , Jenil Vagadiya , Udit Bhatia

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…

Machine Learning · Computer Science 2024-02-22 Mostafa Esmaeilzadeh , Melika Amirzadeh

There is a growing consensus that solutions to complex science and engineering problems require novel methodologies that are able to integrate traditional physics-based modeling approaches with state-of-the-art machine learning (ML)…

Computational Physics · Physics 2022-03-15 Jared Willard , Xiaowei Jia , Shaoming Xu , Michael Steinbach , Vipin Kumar

This study presents a broad perspective of hybrid process modeling and optimization combining the scientific knowledge and data analytics in bioprocessing and chemical engineering with a science-guided machine learning (SGML) approach. We…

Machine Learning · Computer Science 2022-01-26 Niket Sharma , Y. A. Liu

Scientific machine learning (SciML) models are transforming many scientific disciplines. However, the development of good modeling practices to increase the trustworthiness of SciML has lagged behind its application, limiting its potential…

Machine Learning · Computer Science 2025-04-29 John D. Jakeman , Lorena A. Barba , Joaquim R. R. A. Martins , Thomas O'Leary-Roseberry

Physics-guided machine learning (PGML) has become a prevalent approach in studying scientific systems due to its ability to integrate scientific theories for enhancing machine learning (ML) models. However, most PGML approaches are tailored…

Machine Learning · Computer Science 2025-02-11 Runlong Yu , Chonghao Qiu , Robert Ladwig , Paul Hanson , Yiqun Xie , Xiaowei Jia

Scientific machine learning (SciML) increasingly requires models that capture multimodal conditional uncertainty arising from ill-posed inverse problems, multistability, and chaotic dynamics. While recent work has favored highly expressive…

Machine Learning · Computer Science 2026-02-03 Leonardo Ferreira Guilhoto , Akshat Kaushal , Paris Perdikaris

Streamflow prediction is one of the key challenges in the field of hydrology due to the complex interplay between multiple non-linear physical mechanisms behind streamflow generation. While physics based models are rooted in rich…

Atmospheric and Oceanic Physics · Physics 2025-11-12 Ankush Khandelwal , Shaoming Xu , Xiang Li , Xiaowei Jia , Michael Stienbach , Christopher Duffy , John Nieber , Vipin Kumar

The convergence of statistical learning and molecular physics is transforming our approach to modeling biomolecular systems. Physics-informed machine learning (PIML) offers a systematic framework that integrates data-driven inference with…

Biomolecules · Quantitative Biology 2025-11-11 Aaryesh Deshpande

This paper presents an overview of scientific modeling and discusses the complementary strengths and weaknesses of ML methods for scientific modeling in comparison to process-based models. It also provides an introduction to the current…

Machine Learning · Computer Science 2024-05-03 Anuj Karpatne , Xiaowei Jia , Vipin Kumar

Scientific Machine Learning (SciML) integrates data-driven inference with physical modeling to solve complex problems in science and engineering. However, the design of SciML architectures, loss formulations, and training strategies remains…

Artificial Intelligence · Computer Science 2026-02-17 Qile Jiang , George Karniadakis

Rapid and accurate simulations of fluid dynamics around complicated geometric bodies are critical in a variety of engineering and scientific applications, including aerodynamics and biomedical flows. However, while scientific machine…

High-fidelity computational simulations and physical experiments of hypersonic flows are resource intensive. Training scientific machine learning (SciML) models on limited high-fidelity data offers one approach to rapidly predict behaviors…

Fluid Dynamics · Physics 2023-11-06 Victor J. Leon , Noah Ford , Honest Mrema , Jeffrey Gilbert , Alexander New

Advancements in digital automation for smart grids have led to the installation of measurement devices like phasor measurement units (PMUs), micro-PMUs ($\mu$-PMUs), and smart meters. However, a large amount of data collected by these…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Mehdi Jabbari Zideh , Paroma Chatterjee , Anurag K. Srivastava

The application of Machine Learning (ML) to hydrologic modeling is fledgling. Its applicability to capture the dependencies on watersheds to forecast better within a short period is fascinating. One of the key reasons to adopt ML algorithms…

Machine Learning · Computer Science 2025-10-14 Supath Dhital

Physics-informed machine learning (PIML), referring to the combination of prior knowledge of physics, which is the high level abstraction of natural phenomenons and human behaviours in the long history, with data-driven machine learning…

Machine Learning · Computer Science 2022-04-01 Chuizheng Meng , Sungyong Seo , Defu Cao , Sam Griesemer , Yan Liu

Geosystems are geological formations altered by humans activities such as fossil energy exploration, waste disposal, geologic carbon sequestration, and renewable energy generation. Geosystems also represent a critical link in the global…

Geophysics · Physics 2021-04-14 Alexander Y. Sun , Hongkyu Yoon , Chung-Yan Shih , Zhi Zhong

Scientific machine learning (SciML) is a field of increasing interest in several different application fields. In an optimization context, SciML-based tools have enabled the development of more efficient optimization methods. However,…

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