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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