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Algebraic approach to data processin...

Urenda, Julio C.

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Algebraic approach to data processing = techniques and applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algebraic approach to data processing/ by Julio C. Urenda, Vladik Kreinovich.
其他題名:	techniques and applications /
作者:	Urenda, Julio C.
其他作者:	Kreinovich, Vladik.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	xiii, 250 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Computer science - Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-031-16780-5
ISBN:	9783031167805

Algebraic approach to data processing = techniques and applications /
Urenda, Julio C.

Algebraic approach to data processingtechniques and applications /[electronic resource] :by Julio C. Urenda, Vladik Kreinovich. - Cham :Springer International Publishing :2022. - xiii, 250 p. :ill., digital ;24 cm. - Studies in big data,v. 1152197-6511 ;. - Studies in big data ;v. 115..

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.

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.

ISBN: 9783031167805

Standard No.: 10.1007/978-3-031-16780-5doiSubjects--Topical Terms:

532725
Computer science
--Mathematics.

LC Class. No.: QA76.9.M35 / U74 2022

Dewey Class. No.: 004.0151

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520 $a 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.
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