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urenda julio c.; kreinovich vladik - algebraic approach to data processing

Algebraic Approach to Data Processing Techniques and Applications

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 10/2023
Edizione: 1st ed. 2022





Trama

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 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 technique—or 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.

 





Sommario

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.










Altre Informazioni

ISBN:

9783031167829

Condizione: Nuovo
Collana: Studies in Big Data
Dimensioni: 235 x 155 mm Ø 409 gr
Formato: Brossura
Illustration Notes:XIII, 250 p. 8 illus., 4 illus. in color.
Pagine Arabe: 250
Pagine Romane: xiii


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