A Generative Theory of Shape

Language: English

Published by Springer, Springer Okt 2001, 2001

3540427171 / 9783540427179

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This item is printed on demand - Print on Demand Titel. Neuware -The purpose of this book is to develop a generative theory of shape that has two properties we regard as fundamental to intelligence ¿(1) maximization of transfer: whenever possible, new structure should be described as the transfer of existing structure; and (2) maximization of recoverability: the generative operations in the theory must allow maximal inferentiability from data sets. We shall show that, if generativity satis es these two basic criteria of - telligence, then it has a powerful mathematical structure and considerable applicability to the computational disciplines. The requirement of intelligence is particularly important in the gene- tion of complex shape. There are plenty of theories of shape that make the generation of complex shape unintelligible. However, our theory takes the opposite direction: we are concerned with the conversion of complexity into understandability. In this, we will develop a mathematical theory of und- standability. The issue of understandability comes down to the two basic principles of intelligence - maximization of transfer and maximization of recoverability. We shall show how to formulate these conditions group-theoretically. (1) Ma- mization of transfer will be formulated in terms of wreath products. Wreath products are groups in which there is an upper subgroup (which we will call a control group) that transfers a lower subgroup (which we will call a ber group) onto copies of itself. (2) maximization of recoverability is insured when the control group is symmetry-breaking with respect to the ber group.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 576 pp. Englisch.…

Seller Inventory # 9783540427179

Title
A Generative Theory of Shape
Author
Michael Leyton
Publisher
Springer, Springer Okt 2001
Publication year
2001
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540427171
ISBN 13
9783540427179
Item weight
861 grams
Dimensions
235x155x31 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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