A Generative Theory of Shape
Format:
Bog, hæftet
Udgivelsesdato:
01-10-2001
Sprog:
Engelsk
  • Beskrivelse
  • Yderligere info
  • Anmeldelser

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.

Vis mereVis mindre

Udgivelsesdato:
01-10-2001
ISBN13:
9783540427179
Vægt:
798 g
Dybde:
30 mm
Bredde:
156 mm
Højde:
234 mm
Forlag:
Springer
Format:
Hæftet

Vis mereVis mindre

Vis mereVis mindre

  • Leveringstid 4-6 hverdage
  • Forventet levering 02-09-2019

på lager

Fandt du ikke hvad du søgte?

Hvis denne bog ikke er noget for dig, kan du benytte kategorierne nedenfor til at finde andre titler. Klik på en kategori for at se lignende bøger.

Velkommen til Saxo

Du har nu adgang til din konto hos Saxo, og kan se alle oplysninger om dit medlemskab, dine
ordrer og din digitale boghylde under "Mit Saxo".

Som tak for, at du har aktiveret dit medlemskab, har vi valgt at give dig fri læsning hele
sommeren. Dvs. at du frit kan tilgå de mere en 50.000 bøger i Saxos app, samt købe bøger til
vores altid lave medlemspris og fri fragt her på Saxo.com hele juli. Din næste medlemsbetaling
vil først falde i august.

Vi glæder os meget til at byde dig velkommen i vores univers, og håber at du kommer godt i
gang med Saxo Premium.

God sommer og god læselyst!

Med venlig hilsen Saxo

Kom i gang nu!