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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

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

Scientific machine learning (SciML) provides a structured approach to integrating physical knowledge into data-driven modeling, offering significant potential for advancing hydrological research. In recent years, multiple methodological…

Computational Physics · Physics 2026-02-25 Adoubi Vincent De Paul Adombi

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-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

This chapter is a preprint from our book by , focusing on leveraging machine learning (ML) in chemical and polyolefin manufacturing optimization. It's crafted for both novices and seasoned professionals keen on the latest ML applications in…

Machine Learning · Computer Science 2024-01-23 Niket Sharma , Y. A. Liu

We present a perspective on molecular machine learning (ML) in the field of chemical process engineering. Recently, molecular ML has demonstrated great potential in (i) providing highly accurate predictions for properties of pure components…

Chemical Physics · Physics 2025-09-01 Jan G. Rittig , Manuel Dahmen , Martin Grohe , Philippe Schwaller , Alexander Mitsos

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

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

Optimization is central to both modern machine learning (ML) and scientific machine learning (SciML), yet the structure of the underlying optimization problems differs substantially across these domains. Classical ML typically relies on…

Numerical Analysis · Mathematics 2026-01-16 Alena Kopaničáková , Elisa Riccietti

Conventional machine learning (ML) relies heavily on manual design from machine learning experts to decide learning tasks, data, models, optimization algorithms, and evaluation metrics, which is labor-intensive, time-consuming, and cannot…

Machine Learning · Computer Science 2022-01-11 Wenwu Zhu , Xin Wang , Pengtao Xie

Advancements in scientific instrument sensors and connected devices provide unprecedented insight into ongoing experiments and present new opportunities for control, optimization, and steering. However, the diversity of sensors and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-04 Jakob R. Elias , Ryan Chard , Maksim Levental , Zhengchun Liu , Ian Foster , Santanu Chaudhuri

The ever higher complexity of manufacturing systems, continually shortening life cycles of products and their increasing variety, as well as the unstable market situation of the recent years require introducing grater flexibility and…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 H. Tamaki , V. V. Kryssanov , S. Kitamura

To understand and predict the performance of scientific applications, several analytical and machine learning approaches have been proposed, each having its advantages and disadvantages. In this paper, we propose and validate a hybrid…

Performance · Computer Science 2019-02-27 Huda Ibeid , Siping Meng , Oliver Dobon , Luke Olson , William Gropp

Science-based simulation tools such as Finite Element (FE) models are routinely used in scientific and engineering applications. While their success is strongly dependent on our understanding of underlying governing physical laws, they…

Machine Learning · Computer Science 2021-03-31 Navid Zobeiry , Anoush Poursartip

In this review, we highlight recent developments in the application of machine learning for molecular modeling and simulation. After giving a brief overview of the foundations, components, and workflow of a typical supervised learning…

Data Analysis, Statistics and Probability · Physics 2019-02-21 Mojtaba Haghighatlari , Johannes Hachmann

Machine learning (ML) provides a broad spectrum of tools and architectures that enable the transformation of data from simulations and experiments into useful and explainable science, thereby augmenting domain knowledge. Furthermore,…

Plasma Physics · Physics 2024-09-05 Farbod Faraji , Maryam Reza

Methods: This work introduces a method supporting the collaborative definition of machine learning tasks by leveraging model-based engineering in the formalization of the systems modeling language SysML. The method supports the…

Software Engineering · Computer Science 2023-07-11 Simon Raedler , Juergen Mangler , Stefanie Rinderle-Ma

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

Hybrid modeling integrates machine learning with scientific knowledge to enhance interpretability, generalization, and adherence to natural laws. Nevertheless, equifinality and regularization biases pose challenges in hybrid modeling to…

Machine Learning · Computer Science 2024-04-05 Kai-Hendrik Cohrs , Gherardo Varando , Nuno Carvalhais , Markus Reichstein , Gustau Camps-Valls
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