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Matrix Information Geometry

Overview of attention for book
Cover of 'Matrix Information Geometry'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    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
Overall attention for this book and its chapters
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About this Attention Score

  • In the top 5% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (98th percentile)
  • High Attention Score compared to outputs of the same age and source (99th percentile)

Mentioned by

twitter
104 X users
wikipedia
7 Wikipedia pages

Readers on

mendeley
112 Mendeley
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Title
Matrix Information Geometry
Published by
arXiv, January 2013
DOI 10.1007/978-3-642-30232-9
ISBNs
978-3-64-230231-2, 978-3-64-230232-9, 978-3-64-244847-8
Authors

Priyanka Grover

Editors

Frank Nielsen, Rajendra Bhatia

X Demographics

X Demographics

The data shown below were collected from the profiles of 104 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 112 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Brazil 2 2%
United States 2 2%
Italy 1 <1%
Australia 1 <1%
France 1 <1%
United Kingdom 1 <1%
Colombia 1 <1%
Spain 1 <1%
Luxembourg 1 <1%
Other 0 0%
Unknown 101 90%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 33 29%
Researcher 17 15%
Student > Master 13 12%
Professor > Associate Professor 10 9%
Other 8 7%
Other 17 15%
Unknown 14 13%
Readers by discipline Count As %
Computer Science 30 27%
Engineering 24 21%
Mathematics 17 15%
Physics and Astronomy 8 7%
Arts and Humanities 3 3%
Other 14 13%
Unknown 16 14%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 64. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 20 January 2024.
All research outputs
#677,615
of 25,784,004 outputs
Outputs from arXiv
#8,462
of 944,707 outputs
Outputs of similar age
#4,883
of 291,111 outputs
Outputs of similar age from arXiv
#26
of 4,881 outputs
Altmetric has tracked 25,784,004 research outputs across all sources so far. Compared to these this one has done particularly well and is in the 97th percentile: it's in the top 5% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 944,707 research outputs from this source. They receive a mean Attention Score of 4.3. This one has done particularly well, scoring higher than 99% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 291,111 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 98% of its contemporaries.
We're also able to compare this research output to 4,881 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 99% of its contemporaries.