Nonparametric Inference on Manifolds

Name: Nonparametric Inference on Manifolds
Brand: Cambridge University Press
SKU: 9781107019584
Price: 69.11 EUR
Availability: InStock

With Applications to Shape Spaces

Autor: Abhishek Bhattacharya

Jazyk:

Väzba: Pevná

Vydavateľ: Cambridge University Press

Dostupnosť: Skladom u dodávateľa

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69.11 €

This book introduces in a systematic manner a general nonparametric theory of statistics on manifold...

Informácie o knihe

Autor

Abhishek Bhattacharya

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2012

Stránok

252

EAN

9781107019584

ISBN

1107019583

Enbook ID

04449554

Vydavateľ

Cambridge University Press

Hmotnosť

522

Rozmery

156 x 234 x 19

Kompletný popis

This book introduces in a systematic manner a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes. The theory has important and varied applications in medical diagnostics, image analysis, and machine vision. An early chapter of examples establishes the effectiveness of the new methods and demonstrates how they outperform their parametric counterparts. Inference is developed for both intrinsic and extrinsic Fréchet means of probability distributions on manifolds, then applied to shape spaces defined as orbits of landmarks under a Lie group of transformations – in particular, similarity, reflection similarity, affine and projective transformations. In addition, nonparametric Bayesian theory is adapted and extended to manifolds for the purposes of density estimation, regression and classification. Ideal for statisticians who analyze manifold data and wish to develop their own methodology, this book is also of interest to probabilists, mathematicians, computer scientists and morphometricians with mathematical training.

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Nonparametric Inference on Manifolds

With Applications to Shape Spaces

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Kompletný popis

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