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Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering

An Approach Based on Symmetry and Similarity

  • Book
  • © 2015

Overview

Authors:
  1. Jaime Nava

    1. Department of Computer Science, University of Texas at El Paso, El Paso, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Vladik Kreinovich

    1. Department of Computer Science, University of Texas at El Paso, El Paso, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Presents how symmetries can be used in all classes of algorithmic problems of sciences and engineering
  • Shows how the symmetry-based approach can be used in the analysis of real-life systems, from prediction to control
  • Written by leading experts in the field

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 14)

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Table of contents (5 chapters)

  1. Front Matter

    Pages 1-8
    Download chapter PDF

  2. Introduction: Symmetries and Similarities as a Methodology for Algorithmics of Analysis, Prediction, and Control in Science and Engineering

    • Jaime Nava, Vladik Kreinovich
    Pages 1-9

  3. Algorithmic Aspects of Real-Life Systems Analysis: Approach Based on Symmetry and Similarity

    • Jaime Nava, Vladik Kreinovich
    Pages 11-39

  4. Algorithmic Aspects of Prediction: An Approach Based on Symmetry and Similarity

    • Jaime Nava, Vladik Kreinovich
    Pages 41-99

  5. Algorithmic Aspects of Control: Approach Based on Symmetry and Similarity

    • Jaime Nava, Vladik Kreinovich
    Pages 101-140

  6. Possible Ideas for FutureWork

    • Jaime Nava, Vladik Kreinovich
    Pages 141-141

  7. Back Matter

    Pages 143-155
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Keywords

About this book

This book demonstrates how to describe and analyze a system's behavior and extract the desired prediction and control algorithms from this analysis. A typical prediction is based on observing similar situations in the past, knowing the outcomes of these past situations, and expecting that the future outcome of the current situation will be similar to these past observed outcomes. In mathematical terms, similarity corresponds to symmetry, and similarity of outcomes to invariance.  

This book shows how symmetries can be used in all classes of algorithmic problems of sciences and engineering: from analysis to prediction to control. Applications cover chemistry, geosciences, intelligent control, neural networks, quantum physics, and thermal physics. Specifically, it is shown how the approach based on symmetry and similarity can be used in the analysis of real-life systems, in the algorithms of prediction, and in the algorithms of control.

Authors and Affiliations

  • Department of Computer Science, University of Texas at El Paso, El Paso, USA

    Jaime Nava, Vladik Kreinovich

Bibliographic Information

  • Book Title: Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering

  • Book Subtitle: An Approach Based on Symmetry and Similarity

  • Authors: Jaime Nava, Vladik Kreinovich

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-662-44955-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2015

  • Hardcover ISBN: 978-3-662-44954-7Published: 04 November 2014

  • Softcover ISBN: 978-3-662-51159-6Published: 22 September 2016

  • eBook ISBN: 978-3-662-44955-4Published: 18 October 2014

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: VIII, 155

  • Number of Illustrations: 8 b/w illustrations

  • Topics: Computational Intelligence, Artificial Intelligence, Control and Systems Theory

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