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Nonparametric inference on manifolds : with applications to shape spaces

Author: Abhishek Bhattacharya; R N Bhattacharya
Publisher: Cambridge ; New York : Cambridge University Press, 2012.
Series: Institute of Mathematical Statistics monographs, 2.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

A systematic introduction to a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes.

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Details

Document Type: Book
All Authors / Contributors: Abhishek Bhattacharya; R N Bhattacharya
ISBN: 9781107019584 1107019583
OCLC Number: 757931398
Description: xiii, 237 p. : ill. ; 23 cm.
Contents: Introduction --
Examples --
Location and spread on metric spaces --
Extrinsic analysis on manifolds --
Intrinsic analysis on manifolds --
Landmark-based shape spaces --
Kendall's similarity shape spaces [characters omitted] --
The planar shape space [characters omitted] --
Reflection similarity shape spaces R[characters omitted] --
Stiefel manifolds V[characters omitted] --
Affine shape spaces A[characters omitted] --
Real projective spaces and projective shape spaces --
Nonparametric Bayes inference on manifolds --
Nonparametric Bayes regression, classification and hypothesis testing on manifolds --
Appendixes: A. Differentiable manifolds --
B. Riemannian manifolds --
C. Dirichlet processes --
D. Parametric models on S[character omitted] and [characters omitted].
Series Title: Institute of Mathematical Statistics monographs, 2.
Responsibility: Abhishek Bhattacharya, Rabi Bhattacharya.
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'... this is an excellent text that will benefit many students in computer science, mathematics, and physics ... A significant plus of the book is the library of MATLAB codes and datasets available Read more...

 
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