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Matrix Information Geometry

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Cover of 'Matrix Information Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Supremum/Infimum and Nonlinear Averaging of Positive Definite Symmetric Matrices
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    Chapter 2 The Riemannian Mean of Positive Matrices
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    Chapter 3 The Geometry of Low-Rank Kalman Filters
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    Chapter 4 KV Cohomology in Information Geometry
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    Chapter 5 Derivatives of Multilinear Functions of Matrices
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    Chapter 6 Jensen Divergence-Based Means of SPD Matrices
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    Chapter 7 Exponential Barycenters of the Canonical Cartan Connection and Invariant Means on Lie Groups
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    Chapter 8 Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
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    Chapter 9 Information Geometry of Covariance Matrix: Cartan-Siegel Homogeneous Bounded Domains, Mostow/Berger Fibration and Fréchet Median
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    Chapter 10 On the Use of Matrix Information Geometry for Polarimetric SAR Image Classification
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    Chapter 11 Doppler Information Geometry for Wake Turbulence Monitoring
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    Chapter 12 Review of the Application of Matrix Information Theory in Video Surveillance
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    Chapter 13 Comparative Evaluation of Symmetric SVD Algorithms for Real-Time Face and Eye Tracking
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    Chapter 14 Real-Time Detection of Overlapping Sound Events with Non-Negative Matrix Factorization
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    Chapter 15 Mining Matrix Data with Bregman Matrix Divergences for Portfolio Selection
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    Chapter 16 Learning Mixtures by Simplifying Kernel Density Estimators
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    Chapter 17 Particle Filtering on Riemannian Manifolds. Application to Covariance Matrices Tracking
Attention for Chapter 7: Exponential Barycenters of the Canonical Cartan Connection and Invariant Means on Lie Groups
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Chapter title
Exponential Barycenters of the Canonical Cartan Connection and Invariant Means on Lie Groups
Chapter number 7
Book title
Matrix Information Geometry
Published by
Springer Berlin Heidelberg, August 2012
DOI 10.1007/978-3-642-30232-9_7
Book ISBNs
978-3-64-230231-2, 978-3-64-230232-9
Authors

Xavier Pennec, Vincent Arsigny

Editors

Frank Nielsen, Rajendra Bhatia

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 15 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United Kingdom 1 7%
Unknown 14 93%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 9 60%
Student > Master 2 13%
Professor 1 7%
Other 1 7%
Professor > Associate Professor 1 7%
Other 1 7%
Readers by discipline Count As %
Mathematics 6 40%
Computer Science 4 27%
Physics and Astronomy 2 13%
Engineering 1 7%
Unknown 2 13%