Geometric theory of information (Cham, 2014). - ОГЛАВЛЕНИЕ / CONTENTS
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ОбложкаGeometric theory of information / ed. F.Nielsen. - Cham: Springer, 2014. - xii, 392 p.: ill. - (Signals and communication technology). - Bibliogr. at the end of the chapters. - Ind.: p.389-392. - ISBN 978-3-319-05316-5; ISSN 1860-4862
Шифр: (И/З.973.2-G37) 02
 

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Оглавление / Contents
 
1  Divergence Functions and Geometric Structures They Induce 
   on a Manifold ................................................ 1
   Jun Zhang
2  Geometry on Positive Definite Matrices Deformed
   by V-Potentials and Its Submanifold Structure ............... 31
   Atsumi Ohara and Shinto Eguchi
3  Hessian Structures and Divergence Functions on Deformed
   Exponential Families ........................................ 57
   Hiroshi Matsuzoe and Masayuki Henmi
4  Harmonic Maps Relative to α-Connections ..................... 81
   Keiko Uohashi
5  A Riemannian Geometry in the q-Exponential Banach
   Manifold Induced by q-Divergences ........................... 97
   Héctor R. Quiceno, Gabriel I. Loaiza and Juan C. Arango
6  Computational Algebraic Methods in Efficient Estimation .... 119
   Kei Kobayashi and Henry P. Wynn
7  Eidetic Reduction of Information Geometry Through 
   Legendre Duality of Koszul Characteristic Function and 
   Entropy: From Massieu-Duhem Potentials to Geometric
   Souriau Temperature and Balian Quantum Fisher Metric ....... 141
   Frédéric Barbaresco
8  Distances on Spaces of High-Dimensional Linear Stochastic
   Processes: A Survey ........................................ 219
   Bijan Afsari and René Vidal
9  Discrete Ladders for Parallel Transport in Transformation
   Groups with an Affine Connection Structure ................. 243
   Marco Lorenzi and Xavier Pennec
10 Diffeomorphic Iterative Centroid Methods for Template
   Estimation on Large Datasets ............................... 273
   Claire Cury, Joan Alexis Glaunès and Olivier Colliot
11 Hartigan's Method for k-MLE: Mixture Modeling with 
   Wishart Distributions and Its Application to Motion 
   Retrieval .................................................. 301
   Christophe Saint-Jean and Frank Nielsen
12 Morphological Processing of Univariate Gaussian 
   Distribution-Valued Images Based on Poincaré Upper-Half
   Plane Representation ....................................... 331
   Jesús Angulo and Santiago Velasco-Forero
13 Dimensionality Reduction for Classification of Stochastic
   Texture Images ............................................. 367
   С.T.J. Dodson and W.W. Sampson

Index ......................................................... 389

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