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Nonparametric Inference on Manifolds
- With Applications to Shape Spaces
Engelsk
Bogcover for Nonparametric Inference on Manifolds af Abhishek Bhattacharya, Rabi Bhattacharya, 9781107019584
Specifikationer
Sprog:
Engelsk
Sider:
252
ISBN-13:
9781107019584
Indbinding:
Hardback
ISBN-10:
1107019583
Kategori:
Udg. Dato:
5 apr 2012
Størrelse i cm:
23,4 x 15,6 x 1,9
Oplagsdato:
5 apr 2012

Nonparametric Inference on Manifolds

- With Applications to Shape Spaces
Engelsk
Hardback 2012
Format:

Bog beskrivelse
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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Specifikationer
Sprog:
Engelsk
Sider:
252
ISBN-13:
9781107019584
Indbinding:
Hardback
ISBN-10:
1107019583
Kategori:
Udg. Dato:
5 apr 2012
Størrelse i cm:
23,4 x 15,6 x 1,9
Oplagsdato:
5 apr 2012
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