↓ Skip to main content

Geometric Science of Information

Overview of attention for book
Cover of 'Geometric Science of Information'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Information Geometry and Its Applications: Survey
  3. Altmetric Badge
    Chapter 2 Information-Geometric Optimization: The Interest of Information Theory for Discrete and Continuous Optimization
  4. Altmetric Badge
    Chapter 3 Nonparametric Information Geometry
  5. Altmetric Badge
    Chapter 4 Geometry of Hessian Structures
  6. Altmetric Badge
    Chapter 5 Bi-invariant Means on Lie Groups with Cartan-Schouten Connections
  7. Altmetric Badge
    Chapter 6 Parallel Transport with Pole Ladder: Application to Deformations of Time Series of Images
  8. Altmetric Badge
    Chapter 7 Horizontal Dimensionality Reduction and Iterated Frame Bundle Development
  9. Altmetric Badge
    Chapter 8 A Subspace Learning of Dynamics on a Shape Manifold: A Generative Modeling Approach
  10. Altmetric Badge
    Chapter 9 Geodesic Image Regression with a Sparse Parameterization of Diffeomorphisms
  11. Altmetric Badge
    Chapter 10 Template Estimation for Large Database: A Diffeomorphic Iterative Centroid Method Using Currents
  12. Altmetric Badge
    Chapter 11 On the Geometry and the Deformation of Shapes Represented by Piecewise Continuous Bézier Curves with Application to Shape Optimization
  13. Altmetric Badge
    Chapter 12 Random Spatial Structure of Geometric Deformations and Bayesian Nonparametrics
  14. Altmetric Badge
    Chapter 13 A Riemannian Fourier Transform via Spin Representations
  15. Altmetric Badge
    Chapter 14 K-Centroids-Based Supervised Classification of Texture Images Using the SIRV Modeling
  16. Altmetric Badge
    Chapter 15 Geometric Science of Information
  17. Altmetric Badge
    Chapter 16 Geometric Science of Information
  18. Altmetric Badge
    Chapter 17 Optimal Transport and Minimal Trade Problem, Impacts on Relational Metrics and Applications to Large Graphs and Networks Modularity
  19. Altmetric Badge
    Chapter 18 Comparing Different Modularization Criteria Using Relational Metric
  20. Altmetric Badge
    Chapter 19 A General Framework for Comparing Heterogeneous Binary Relations
  21. Altmetric Badge
    Chapter 20 On Prime-Valent Symmetric Bicirculants and Cayley Snarks
  22. Altmetric Badge
    Chapter 21 Studying New Classes of Graph Metrics
  23. Altmetric Badge
    Chapter 22 Tessellabilities, Reversibilities, and Decomposabilities of Polytopes
  24. Altmetric Badge
    Chapter 23 Counting the Number of Solutions of KDMDGP Instances
  25. Altmetric Badge
    Chapter 24 On the Identification of Discretization Orders for Distance Geometry with Intervals
  26. Altmetric Badge
    Chapter 25 Hypothesis Testing, Information Divergence and Computational Geometry
  27. Altmetric Badge
    Chapter 26 A New Implementation of k-MLE for Mixture Modeling of Wishart Distributions
  28. Altmetric Badge
    Chapter 27 Variational Problem in Euclidean Space with Density
  29. Altmetric Badge
    Chapter 28 The Exponential Family in Abstract Information Theory
  30. Altmetric Badge
    Chapter 29 Hessian Structures on Deformed Exponential Families
  31. Altmetric Badge
    Chapter 30 Foliations on Affinely Flat Manifolds: Information Geometry
  32. Altmetric Badge
    Chapter 31 Hypersurfaces with Isometric Reeb Flow in Hermitian Symmetric Spaces of Rank 2
  33. Altmetric Badge
    Chapter 32 Generalized Minimizers of Convex Integral Functionals and Pythagorean Identities
  34. Altmetric Badge
    Chapter 33 Computational Information Geometry in Statistics: Foundations
  35. Altmetric Badge
    Chapter 34 Computational Information Geometry in Statistics: Mixture Modelling
  36. Altmetric Badge
    Chapter 35 A General Metric for Riemannian Manifold Hamiltonian Monte Carlo
  37. Altmetric Badge
    Chapter 36 Visualizing Projective Shape Space
  38. Altmetric Badge
    Chapter 37 Interpolation and Regression of Rotation Matrices
  39. Altmetric Badge
    Chapter 38 A Geometric Framework for Non-Unitary Joint Diagonalization of Complex Symmetric Matrices
  40. Altmetric Badge
    Chapter 39 An Extrinsic Look at the Riemannian Hessian
  41. Altmetric Badge
    Chapter 40 Law of Cosines and Shannon-Pythagorean Theorem for Quantum Information
  42. Altmetric Badge
    Chapter 41 A Note on the Intrinsic Cramer-Rao Bound
  43. Altmetric Badge
    Chapter 42 A Comparison of Two Dual Methods for Discrete Optimal Transport
  44. Altmetric Badge
    Chapter 43 The Tangent Earth Mover’s Distance
  45. Altmetric Badge
    Chapter 44 A Geometric Study of Wasserstein Spaces: An Addendum on the Boundary
  46. Altmetric Badge
    Chapter 45 Geometric Science of Information
  47. Altmetric Badge
    Chapter 46 Group Action Induced Distances on Spaces of High-Dimensional Linear Stochastic Processes
  48. Altmetric Badge
    Chapter 47 Extrinsic vs Intrinsic Means on the Circle
  49. Altmetric Badge
    Chapter 48 Nonlinear Modeling and Processing Using Empirical Intrinsic Geometry with Application to Biomedical Imaging
  50. Altmetric Badge
    Chapter 49 Integral Geometry of Linearly Combined Gaussian and Student-t, and Skew Student’s t Random Fields
  51. Altmetric Badge
    Chapter 50 Estimation and Tests Under L-Moment Condition Models
  52. Altmetric Badge
    Chapter 51 Weighted Sampling, Maximum Likelihood and Minimum Divergence Estimators
  53. Altmetric Badge
    Chapter 52 Some Decision Procedures Based on Scaled Bregman Distance Surfaces
  54. Altmetric Badge
    Chapter 53 Some Results on a χ-divergence, an Extended Fisher Information and Generalized Cramér-Rao Inequalities
  55. Altmetric Badge
    Chapter 54 The Stochastic Flow Theorem for an Operator of Order Four
  56. Altmetric Badge
    Chapter 55 Geometry and Shannon Capacity
  57. Altmetric Badge
    Chapter 56 A Metric for Quantum States Issued from von Neumann’s Entropy
  58. Altmetric Badge
    Chapter 57 Continuity of f-projections on Discrete Spaces
  59. Altmetric Badge
    Chapter 58 Frames for Tensor Field Morphology
  60. Altmetric Badge
    Chapter 59 Complete Lattice Structure of Poincaré Upper-Half Plane and Mathematical Morphology for Hyperbolic-Valued Images
  61. Altmetric Badge
    Chapter 60 Supervised Morphology for Structure Tensor-Valued Images Based on Symmetric Divergence Kernels
  62. Altmetric Badge
    Chapter 61 Using the Bhattacharyya Mean for the Filtering and Clustering of Positive-Definite Matrices
  63. Altmetric Badge
    Chapter 62 Deconvolution for the Wasserstein Metric and Geometric Inference
  64. Altmetric Badge
    Chapter 63 On Directional-Search Procedures for Orbifolds: Connections with the Manifold Framework
  65. Altmetric Badge
    Chapter 64 Adaptation of Multiscale Function Extension to Inexact Matching: Application to the Mapping of Individuals to a Learnt Manifold
  66. Altmetric Badge
    Chapter 65 Interleaved Filtrations: Theory and Applications in Point Cloud Data Analysis
  67. Altmetric Badge
    Chapter 66 Symplectic and Kähler Structures on Statistical Manifolds Induced from Divergence Functions
  68. Altmetric Badge
    Chapter 67 Information/Contact Geometries and Koszul Entropy
  69. Altmetric Badge
    Chapter 68 Geometric Quantization of Complex Monge-Ampère Operator for Certain Diffusion Flows
  70. Altmetric Badge
    Chapter 69 Geometry on Positive Definite Matrices Induced from V-Potential Function
  71. Altmetric Badge
    Chapter 70 Online Change Detection in Exponential Families with Unknown Parameters
  72. Altmetric Badge
    Chapter 71 Differential Geometry Applied to Acoustics: Non Linear Propagation in Reissner Beams
  73. Altmetric Badge
    Chapter 72 Predictive Information in Gaussian Processes with Application to Music Analysis
  74. Altmetric Badge
    Chapter 73 Characterizing Time Series Variability and Predictability from Information Geometry Dynamics
  75. Altmetric Badge
    Chapter 74 Variational Bayesian Approximation for Linear Inverse Problems with a Hierarchical Prior Models
  76. Altmetric Badge
    Chapter 75 Learning General Gaussian Kernel Hyperparameters for SVR
  77. Altmetric Badge
    Chapter 76 Stochastic Filtering by Projection: The Example of the Quadratic Sensor
  78. Altmetric Badge
    Chapter 77 A Probabilistic Solution to the AX=XB Problem: Sensor Calibration without Correspondence
  79. Altmetric Badge
    Chapter 78 Random Clouds on Matrix Lie Groups
  80. Altmetric Badge
    Chapter 79 Infinite-Dimensional Manifolds of Finite-Entropy Probability Measures
  81. Altmetric Badge
    Chapter 80 Asymptotically Efficient Estimators for Algebraic Statistical Manifolds
  82. Altmetric Badge
    Chapter 81 The Δ2-Condition and ϕ-Families of Probability Distributions
  83. Altmetric Badge
    Chapter 82 A Riemannian Geometry in the q-Exponential Banach Manifold Induced by q-Divergences
  84. Altmetric Badge
    Chapter 83 Harmonic Maps Relative to α-Connections on Hessian Domains
  85. Altmetric Badge
    Chapter 84 A Kernel View on Manifold Sub-sampling Based on Karcher Variance Optimization
  86. Altmetric Badge
    Chapter 85 Maximal Information Divergence from Statistical Models Defined by Neural Networks
  87. Altmetric Badge
    Chapter 86 Neighborhood Random Classification
  88. Altmetric Badge
    Chapter 87 Information Geometry and Interior-Point Algorithms
  89. Altmetric Badge
    Chapter 88 Geometric Mean Algorithms Based on Harmonic and Arithmetic Iterations
  90. Altmetric Badge
    Chapter 89 Multiscale Covariance Fields, Local Scales, and Shape Transforms
  91. Altmetric Badge
    Chapter 90 Deterministic Walks and Quasi-Subgradient Methods for the Karcher Mean on NPC Spaces
  92. Altmetric Badge
    Chapter 91 Fast Polynomial Spline Approximation for Large Scattered Data Sets via L 1 Minimization
  93. Altmetric Badge
    Chapter 92 Target Detection of Non-stationary Radar Signal and Riemannian Geometry
  94. Altmetric Badge
    Chapter 93 High-Dimensional Range Profile Geometrical Visualization and Performance Estimation of Radar Target Classification via a Gaussian Mixture Model
  95. Altmetric Badge
    Chapter 94 Visual Point Set Processing with Lattice Structures: Application to Parsimonious Representations of Digital Histopathology Images
  96. Altmetric Badge
    Chapter 95 Activity Video Analysis via Operator-Based Local Embedding
  97. Altmetric Badge
    Chapter 96 Multivariate Texture Discrimination Based on Geodesics to Class Centroids on a Generalized Gaussian Manifold
  98. Altmetric Badge
    Chapter 97 Robust Estimation of Natural Gradient in Optimization by Regularized Linear Regression
  99. Altmetric Badge
    Chapter 98 To the Homogeneous Symplectic Manifold toward the Geometry of information
Overall attention for this book and its chapters
Altmetric Badge

About this Attention Score

  • In the top 25% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (93rd percentile)
  • High Attention Score compared to outputs of the same age and source (94th percentile)

Mentioned by

blogs
1 blog
twitter
19 tweeters
facebook
1 Facebook page
wikipedia
1 Wikipedia page

Citations

dimensions_citation
6 Dimensions

Readers on

mendeley
80 Mendeley
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Title
Geometric Science of Information
Published by
Lecture notes in computer science, January 2013
DOI 10.1007/978-3-642-40020-9
ISBNs
978-3-64-240019-3, 978-3-64-240020-9
Editors

Frank Nielsen, Frederic Barbaresco

Twitter Demographics

The data shown below were collected from the profiles of 19 tweeters who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 80 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 80 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 1 1%
Student > Master 1 1%
Unknown 78 98%
Readers by discipline Count As %
Physics and Astronomy 2 3%
Unknown 78 98%

Attention Score in Context

This research output has an Altmetric Attention Score of 23. 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 23 January 2020.
All research outputs
#788,010
of 14,372,231 outputs
Outputs from Lecture notes in computer science
#171
of 7,453 outputs
Outputs of similar age
#23,141
of 340,517 outputs
Outputs of similar age from Lecture notes in computer science
#60
of 1,093 outputs
Altmetric has tracked 14,372,231 research outputs across all sources so far. Compared to these this one has done particularly well and is in the 94th percentile: it's in the top 10% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 7,453 research outputs from this source. They receive a mean Attention Score of 4.4. This one has done particularly well, scoring higher than 97% 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 340,517 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 93% of its contemporaries.
We're also able to compare this research output to 1,093 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 94% of its contemporaries.