Nonparametric Inference on Manifolds

Name: Nonparametric Inference on Manifolds
Brand: Cambridge University Press
SKU: 9781107019584
Price: 396.89 RON
Availability: InStock

With Applications to Shape Spaces

Autor: Abhishek Bhattacharya

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Legare: Copertă tare

Editura: Cambridge University Press

Disponibilitate: În depozitul extern

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

Informații despre carte

Autor

Abhishek Bhattacharya

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2012

Pagini

252

EAN

9781107019584

ISBN

1107019583

Enbook ID

04449554

Editura

Cambridge University Press

Greutate

522

Dimensiuni

156 x 234 x 19

Descriere completă

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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