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Information Geometry and Optimal Transport

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Information Geometry and Optimal Transport Call for Papers Special Issue Affine Differential Geometry and Hesse Geometry: A Tribute and Memorial to Jean-Louis Koszul Submission Deadline: 30th November 2019 Jean-Louis Koszul (January 3, 1921 – January 12, 2018) was a French mathematician with prominent influence to a wide range of mathematical fields. He was a second generation member of Bourbaki, with several notions in geometry and algebra named after him. He made a great contribution to the fundamental theory of Differential Geometry, which is foundation of Information Geometry. The special issue is dedicated to Koszul for the mathematics he developed that bear on information sciences. Both original contributions and review articles are solicited. Topics include but are not limited to: Affine differential geometry over statistical manifolds Hessian and Kahler geometry Divergence geometry Convex geometry and analysis Differential geometry over homogeneous and symmetric spaces Jordan algebras and graded Lie algebras Pre-Lie algebras and their cohomology Geometric mechanics and Thermodynamics over homogeneous spaces Guest Editor Hideyuki Ishi (Graduate School of Mathematics, Nagoya University) e-mail: [email protected] Submit at www.editorialmanager.com/inge Please select 'S.I.: Affine differential geometry and Hessian geometry Jean-Louis Koszul (Memorial/Koszul)' Photo Author: Konrad Jacobs. Source: Archives of the Mathema�sches Forschungsins�tut Oberwolfach Editor-in-Chief Shinto Eguchi (Tokyo) Special Issue Co-Editors Information Geometry and Optimal Transport Nihat Ay (Leipzig) Frank Nielsen (Paris) Submisstion Deadline: 20th December 2019 Jun Zhang (Ann Arbor) Optimal transport is an interdisciplinary field of mathematics at the intersection of probability, analysis, and geometry. Originally conceived by Monge in 1781 as a problem of finding the most efficient transportation of Associate Editors resources, the modern framework was developed by Kantorovich and others in the early 1900s as a problem Frédéric Barbaresco (Paris) of finding optimal coupling between two probability measures characterizing the transported resource. In Damiano Brigo (London) recent decades, the field of optimal transport has flourished due to its deep connections with many different Dorje C. Brody (London) areas of mathematics and ever expanding applications in other fields. Connections between the geometry of Paolo Gibilisco (Rome) optimal transport (Wasserstein geometry) and information geometry have also started to emerge. The aim of Shiro Ikeda (Tokyo) this special issue is to explore some of these developments and their applications of this promising area of Jürgen Jost (Leipzig) research. Paul Marriott (Waterloo) Hiroshi Matsuzoe (Nagoya) Topics include but are not limited to: František Matúš (Prague) 1. Wasserstein-Fisher Rao geometry and entropy-related transportation Noboru Murata (Tokyo) 2. Displacement interpolation and convexity Hiroshi Nagaoka (Tokyo) 3. Regularity theory of optimal transport and its relation to information geometry Jan Naudts (Antwerp) 4. Talagrand inequalities and the relationship between Wasserstein distances and relative entropy Nigel Newton (Colchester) 5. Log-divergences and their applications in economics Richard Nock (Canberra) 6. Wasserstein natural gradient and application to data/image analysis Atsumi Ohara (Fukui) 7. Geometric frameworks to machine learning and computer graphics, etc. Giovanni Pistone (Turin) Constantino Tsallis (Rio de Janeiro) Guest Editor Jun Zhang (University of Michigan) Advisory Board e-mail: [email protected] Ole E. Barndorff-Nielsen (Aarhus) David Cox (Oxford) Submit at www.editorialmanager.com/inge Bradley Efron (Stanford) Please select 'S.I.: Information Geometry and Optimal Transport' C.R. Rao (Hyderabad) Gaspard Monge Honorary Editors Shun-ichi Amari (Tokyo) Visit springer.com/41884 Imre Csiszár (Budapest) http://www.springer.com/journal/41884.
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