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

An Approach Based on Symmetry and Similarity

  • Jaime Nava
  • Vladik Kreinovich

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

Table of contents

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.


Computational Intelligence Control Prediction Similarity Symmetry

Authors and affiliations

  • Jaime Nava
    • 1
  • Vladik Kreinovich
    • 2
  1. 1.Department of Computer ScienceUniversity of Texas at El PasoEl PasoUSA
  2. 2.Department of Computer ScienceUniversity of Texas at El PasoEl PasoUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-662-44954-7
  • Online ISBN 978-3-662-44955-4
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site
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