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A Gentle Introduction to Data, Learning, and Model Order Reduction

Techniques and Twinning Methodologies

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  • Open Access
  • © 2025

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A Gentle Introduction to Data, Learning, and Model Order Reduction

Overview

  • This book is open access, which means that you have free and unlimited access
  • Addresses scientific machine learning and advanced simulation techniques
  • Structured content for postgraduate-level learning, including 60 hours of lectures and lab assignments
  • Offers a structured learning pathway with theoretical insights and practical applications

Part of the book series: Studies in Big Data (SBD, volume 174)

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About this book

This open access book explores the latest advancements in simulation performance, driven by model order reduction, informed and augmented machine learning technologies and their combination into the so-called hybrid digital twins. It provides a comprehensive review of three key frameworks shaping modern engineering simulations: physics-based models, data-driven approaches, and hybrid techniques that integrate both. The book examines the limitations of traditional models, the role of data acquisition in uncovering underlying patterns, and how physics-informed and augmented learning techniques contribute to the development of digital twins. Organized into four sections—Around Data, Around Learning, Around Reduction, and Around Data Assimilation & Twinning—this book offers an essential resource for researchers, engineers, and students seeking to understand and apply cutting-edge simulation methodologies

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Table of contents (35 chapters)

  1. Around Data

  2. Around Learning

Authors and Affiliations

  • Arts et Métiers Institute of Technology, PARIS, France

    Francisco Chinesta

  • Aragon Institute of Engineering Research, Universidad de Zaragoza, Zaragoza, Spain

    Elías Cueto, David González, Icíar Alfaro

  • Ecole Natl Supérieure d'Arts et Métiers, PARIS, France

    Victor Champaney

  • University of North Florida, Jacksonville, USA

    Chady Ghnatios

  • Arts et Métiers ParisTech, Angers, France

    Amine Ammar

  • Arts et Metiers Institute of Technology, Paris, France

    Nicolas Hascoët, Daniele Di Lorenzo, Angelo Pasquale

  • University of Limoges, Limoges, France

    Dominique Baillargeat

About the authors

Francisco Chinesta – Professor of Computational Physics at Arts et Métiers Institute of Technology, Paris and programme director at CNRS@CREATE, Singapore. His research focuses on computational physics, model order reduction, and hybrid artificial intelligence.

Elias Cueto – Professor of Continuum Mechanics at Universidad de Zaragoza. His research covers model order reduction, artificial intelligence and computational mechanics.

Victor Champaney  Researcher at Arts et Métiers Institute of Technology, Paris. His work specializes in model order reduction, hybrid modeling and frugal AI techniques.

Chady Ghnatios – Professor of Mechanical Engineering at University of North Florida, USA. His research focuses on model order reduction, advanced simulation, machine learning and hybrid modeling.

Amine Ammar – Professor of Computational Mechanics at Arts et Métiers Institute of Technology, Angers. His expertise lies in kinetic theory models, model reduction, and computational material forming.

Nicolas Hascoët – Associate Professor at Arts et Métiers Institute of Technology, Paris. His research focuses on machine learning and data science for industrial applications.

David Gonzalez – Professor of Continuum Mechanics at Universidad de Zaragoza. His research interests include model reduction, real-time computational simulations, and physics-informed AI.

Icíar Alfaro – Associate Professor at Universidad de Zaragoza. She specializes in numerical methods, solid mechanics, and physics-informed neural networks.

Daniele Di Lorenzo – Researcher at Arts et Métiers Institute of Technology, Paris. His research focuses on inverse analysis, hybrid modeling, and digital twins for structural health monitoring.

Angelo Pasquale – Researcher in Computational Mechanics at Arts et Métiers Institute of Technology, Paris. He specializes in AI-enhanced simulations, model order reduction and multiscale modeling.

Dominique Baillargeat – Professor at the University of Limoges and Director of CNRS@CREATE at Singapore. His research focuses on high-frequency electronics, nanotechnologies, and advanced modeling and simulation techniques using Hybrid-AI.

Accessibility Information

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This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub.

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This ebook is designed with accessibility in mind, aiming to meet the ePub Accessibility 1.0 AA and WCAG 2.2 Level AA standards. It features a navigable table of contents, structured headings, and alternative text for images, ensuring smooth, intuitive navigation and comprehension. The text is reflowable and resizable, with sufficient contrast. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com.

Bibliographic Information

  • Book Title: A Gentle Introduction to Data, Learning, and Model Order Reduction

  • Book Subtitle: Techniques and Twinning Methodologies

  • Authors: Francisco Chinesta, Elías Cueto, Victor Champaney, Chady Ghnatios, Amine Ammar, Nicolas Hascoët, David González, Icíar Alfaro, Daniele Di Lorenzo, Angelo Pasquale, Dominique Baillargeat

  • Series Title: Studies in Big Data

  • DOI: https://doi.org/10.1007/978-3-031-87572-4

  • Publisher: Springer Cham

  • eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s) 2025

  • Hardcover ISBN: 978-3-031-87571-7Published: 23 July 2025

  • Softcover ISBN: 978-3-031-87574-8Due: 06 August 2026

  • eBook ISBN: 978-3-031-87572-4Published: 22 July 2025

  • Series ISSN: 2197-6503

  • Series E-ISSN: 2197-6511

  • Edition Number: 1

  • Number of Pages: XVI, 227

  • Number of Illustrations: 4 b/w illustrations, 29 illustrations in colour

  • Topics: Computational Intelligence, Computational Science and Engineering, Machine Learning

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