Algebraic approach to data processing : techniques and applications / Julio C. Urenda, Vladik Kreinovich.
2022
QA76.9.M35
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Details
Title
Algebraic approach to data processing : techniques and applications / Julio C. Urenda, Vladik Kreinovich.
Author
Urenda, Julio C., author.
ISBN
9783031167805 (electronic bk.)
3031167805 (electronic bk.)
9783031167799
3031167791
3031167805 (electronic bk.)
9783031167799
3031167791
Published
Cham : Springer, 2022.
Language
English
Description
1 online resource : illustrations (black and white, and color).
Item Number
10.1007/978-3-031-16780-5 doi
Call Number
QA76.9.M35
Dewey Decimal Classification
004.01/51
Summary
The book explores a new general approach to selectingand 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 new application areas ranging from engineering, medicine, education to social sciences. In many cases, this approach leads to optimal techniques and optimal solutions. That the same data processing techniques help us better analyze wooden structures, lung dysfunctions, and deep learning algorithms is a good indication that these techniques can be used in many other applications as well. The book is recommended to researchers and practitioners who need to select a data processing techniqueor who want to design a new technique when the existing techniques do not work. It is also recommended to students who want to learn the state-of-the-art data processing.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on print version record.
Added Author
Kreinovich, Vladik, author.
Series
Studies in big data ; v. 115.
Available in Other Form
Algebraic approach to data processing.
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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.
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.