Geometric Structures of Information

Front Matter ....Pages i-viii
 Rho-Tau Embedding of Statistical Models  (Jan Naudts, Jun Zhang)....Pages 1-13
 A Class of Non-parametric Deformed Exponential Statistical Models  (Luigi Montrucchio, Giovanni Pistone)....Pages 15-35
 Statistical Manifolds Admitting Torsion and Partially Flat Spaces  (Masayuki Henmi, Hiroshi Matsuzoe)....Pages 37-50
 Conformal Flattening on the Probability Simplex and Its Applications to Voronoi Partitions and Centroids  (Atsumi Ohara)....Pages 51-68
 Monte Carlo Information-Geometric Structures  (Frank Nielsen, Gaëtan Hadjeres)....Pages 69-103
 Information Geometry in Portfolio Theory  (Ting-Kam Leonard Wong)....Pages 105-136
 Generalising Frailty Assumptions in Survival Analysis: A Geometric Approach  (Vahed Maroufy, Paul Marriott)....Pages 137-148
 Some Universal Insights on Divergences for Statistics, Machine Learning and Artificial Intelligence  (Michel Broniatowski, Wolfgang Stummer)....Pages 149-211
 Information-Theoretic Matrix Inequalities and Diffusion Processes on Unimodular Lie Groups  (Gregory S. Chirikjian)....Pages 213-249
 Warped Riemannian Metrics for Location-Scale Models  (Salem Said, Lionel Bombrun, Yannick Berthoumieu)....Pages 251-296
 Clustering in Hilbert’s Projective Geometry: The Case Studies of the Probability Simplex and the Elliptope of Correlation Matrices  (Frank Nielsen, Ke Sun)....Pages 297-331
 Jean-Louis Koszul and the Elementary Structures of Information Geometry  (Frédéric Barbaresco)....Pages 333-392