Geometric 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  Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

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