Shizuhiko Nishisato

(Author)

Optimal Quantification and Symmetry (2022)Paperback - 2022, 23 February 2023

Optimal Quantification and Symmetry (2022)
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Part of Series
Behaviormetrics: Quantitative Approaches to Human Behavior
Print Length
195 pages
Language
English
Publisher
Springer
Date Published
23 Feb 2023
ISBN-10
981169172X
ISBN-13
9789811691720

Description

This book offers a unique new look at the familiar quantification theory from the point of view of mathematical symmetry and spatial symmetry. Symmetry exists in many aspects of our life--for instance, in the arts and biology as an ingredient of beauty and equilibrium, and more importantly, for data analysis as an indispensable representation of functional optimality. This unique focus on symmetry clarifies the objectives of quantification theory and the demarcation of quantification space, something that has never caught the attention of researchers.

Mathematical symmetry is well known, as can be inferred from Hirschfeld's simultaneous linear regressions, but spatial symmetry has not been discussed before, except for what one may infer from Nishisato's dual scaling. The focus on symmetry here clarifies the demarcation of quantification analysis and makes it easier to understand such a perennial problem as that of joint graphical display in quantification theory. The new framework will help advance the frontier of further developments of quantification theory.

Many numerical examples are included to clarify the details of quantification theory, with a focus on symmetry as its operational principle. In this way, the book is useful not only for graduate students but also for researchers in diverse areas of data analysis.

Product Details

Author:
Shizuhiko Nishisato
Book Edition:
2022
Book Format:
Paperback
Country of Origin:
NL
Date Published:
23 February 2023
Dimensions:
23.39 x 15.6 x 1.14 cm
ISBN-10:
981169172X
ISBN-13:
9789811691720
Language:
English
Location:
Singapore
Pages:
195
Publisher:
Weight:
303.91 gm

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