Algebraic Approach to Data Processing Techniques and Applications

The book explores a new general approach to selecting—and designing—data processing techniques. Symmetry and invariance ideas behind this algebraic approach have been successful in physics, where many new theories are formulated in symmetry terms. The book explains this approach and expands it to ne...

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Bibliographic Details
Main Authors: Urenda, Julio C., Kreinovich, Vladik (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Series:Studies in Big Data
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • What Are the Most Natural and the Most Frequent Transformations
  • Which Functions and Which Families of Functions Are Invariant
  • What Is the General Relation Between Invariance And Optimality
  • General Application: Dynamical Systems
  • First Application to Physics: Why Liquids?
  • Second Application to Physics: Warping of Our Galaxy