First International
Conference, GSI 2013, Mines ParisTech,
Paris, France, August 28-30, 2013.
📖Proceedings
📹GSI'13 video
web site
Geometric Theory of Information (Springer, Edited book)
Group photo:
Topics of GSI'13 [click to expand]
- Geometric Statistics on Manifolds and Lie Groups
- Deformations in Shape Spaces
- Differential Geometry in Signal Processing
- Relational Metric
- Discrete Metric Spaces
- Computational Information Geometry
- Hessian Information Geometry I and II
- Computational Aspects of Information Geometry in Statistics
- Optimization on Matrix Manifolds
- Optimal Transport Theory
- Probability on Manifolds
- Divergence Geometry and Ancillarity
- Entropic Geometry
- Tensor-Valued Mathematical Morphology
- Machine/Manifold/Topology Learning
- Geometry of Audio Processing
- Geometry of Inverse Problems
- Algebraic/Infinite Dimensional/Banach Information Manifolds
- Information Geometry Manifolds
- Algorithms on Manifolds
Détail d'une scène dans la lettre 'P' d’une enluminure avec une femme tenant une équerre et
un compas à pointes sèches. Elle est observée par un groupe d'étudiants.
Au Moyen âge, il est inhabituel de voir des femmes représentées comme des professeurs,
en particulier quand les étudiants semblent être des moines. Elle est plus probablement la
personnification de la Géométrie, basée sur le livre célèbre de Martianus Capella de Nuptiss Philologiae
et Mercurii, [5ème c.] une source standard des images allégoriques des sept arts libéraux.
Illustration au début des Eléments d'Euclide, dans la traduction attribuée à
Adelard de Bath.
- Geometric Structures of Statistical Physics, Information Geometry, and Learning
SPIGL'20, Les Houches, France, July 27–31, Frédéric Barbaresco, and Frank Nielsen (Eds.), Springer, 2021.
- Progress
in Information Geometry:
Theory and Applications, Frank Nielsen (Ed.), Springer, 2021.
- Joseph Fourier 250th Birthday
Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century,
Frédéric Barbaresco and Jean-Pierre Gazeau (Eds.), MDPI Entropy, 2019.
- Introduction
to Symplectic Geometry, Jean-Louis Koszul (translated by Yiming Zou), Springer, 2019.
Geometric Structures of
Information, Frank Nielsen (Ed.), Springer, 2019.
- Differential Geometrical Theory of Statistics,
Frédéric Barbaresco and Frank Nielsen (Eds.), MDPI Entropy, 2017.
- Computational Information Geometry
For Image and Signal Processing, Springer 2017
- Information, Entropy
and Their Geometric Structures, Frédéric Barbaresco and Ali Mohammad-Djafari (Eds), MDPI Entropy, 2015.
- Geometric Theory of Information, Springer 2014
- Matrix Information Geometry, Springer 2013
Poster for the Geometric Science of Information
Hall of fame GSI books
A very partial list of books which are shaping GSI:
- Siegel, Carl Ludwig. Symplectic geometry. Elsevier, 2014.
- Hua, Luogeng. Harmonic analysis of functions of several complex variables in the classical domains. No. 6. American Mathematical Soc., 1963.
- Cencov, Nikolai Nikolaevich. Statistical decision rules and optimal inference. No. 53. American Mathematical Soc., 2000.
- Amari, Shun-ichi. "Differential-geometrical methods in statistics." Lecture Notes on Statistics 28 (1985)
- Amari, Shun-ichi, and Hiroshi Nagaoka. Methods of information geometry. Vol. 191. American Mathematical Soc., 2000.
- Koszul, Jean Louis, and Yi Ming Zou. Introduction to symplectic geometry. Springer Singapore, 2019.
- Nomizu, Katsumi, Nomizu Katsumi, and Takeshi Sasaki. Affine differential geometry: geometry of affine immersions. Cambridge university press, 1994.
- Ay, Nihat, et al. Information geometry. Vol. 64. Cham: Springer, 2017.
- Shima, Hirohiko. The geometry of Hessian structures. World Scientific, 2007.
- Marsden, Jerrold E., and Tudor S. Ratiu. Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems. Vol. 17. Springer Science & Business Media, 2013.
- Kostant, Bertram. Collected Papers: Volume I 1955-1966. Vol. 1. Springer Science & Business Media, 2009.
- Gelfand, Sergei I., and Yuri I. Manin. Methods of homological algebra. Springer Science & Business Media, 2002.
- Souriau, Jean-Marie, and Ch Cushman. Structure of dynamical systems: a symplectic view of physics. Vol. 149. Springer Science & Business Media, 1997.
JM Souriau web with PDF papers
- Marle, Charles-Michel. Géométrie symplectique et géométrie de Poisson. Calvage & Mounet, 2018.
BibTex
@book{GSI-2013,
title={Geometric Science of Information: First International Conference, GSI 2013, Paris, France, August 28-30, 2013, Proceedings},
author={Nielsen, Frank and Barbaresco, Fr{\'e}d{\'e}ric},
volume={8085},
year={2013},
publisher={Springer}
}
@book{GSI-2015,
title={Geometric Science of Information: Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings},
author={Nielsen, Frank and Barbaresco, Fr{\'e}d{\'e}ric},
volume={9389},
year={2015},
publisher={Springer}
}
@book{GSI-2017,
title={Geometric Science of Information: Second International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings},
author={Nielsen, Frank and Barbaresco, Fr{\'e}d{\'e}ric},
volume={10589},
year={2017},
publisher={Springer}
}
@book{GSI-2019,
title={Geometric Science of Information: Second International Conference, GSI 2019, Toulouse, France, August 27-29, 2019, Proceedings},
author={Nielsen, Frank and Barbaresco, Fr{\'e}d{\'e}ric},
volume={11712},
year={2019},
publisher={Springer}
}
@book{GSI-2021,
title={Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21-23, 2021: Proceedings},
author={Nielsen, Frank and Barbaresco, Fr{\'e}d{\'e}ric},
volume={12829},
year={2021},
publisher={Springer Nature}
}
@book{GSI-2023a,
title={Geometric Science of Information: 6th International Conference, GSI 2023, St. Malo, France,
August 30-September 1, 2023: Proceedings, Part I},
author={Nielsen, Frank and Barbaresco, Fr{\'e}d{\'e}ric},
volume={14071},
year={2023},
publisher={Springer Nature}
}
@book{GSI-2023b,
title={Geometric Science of Information:
6th International Conference, GSI 2023, St. Malo, France,
August 30-September 1, 2023: Proceedings, Part II},
author={Nielsen, Frank and Barbaresco, Fr{\'e}d{\'e}ric},
volume={14072},
year={2023},
publisher={Springer Nature}
}
Historical background
Group photo of ENS in 1900 (Maurice Fréchet is then 22 years old)
Slides of F. Barbaresco for the
IHP Maurice Fréchet conference (2023)
Related conferences not affiliated with GSI
IGAIA
- IGAIA IV:
Information Geometry and its Applications IV,
June 12-17, 2016, Liblice Castle, Czech Republic.
Springer post-conference edited proceedings (Editors: Nihat Ay, Paolo Gibilisco, František Matúš):
Information Geometry and Its Applications:
On the Occasion of Shun-ichi Amari's 80th Birthday, IGAIA IV Liblice, Czech Republic, June 2016
Photos
- IGAIA III:
Information Geometry and its Applications III, MPI Universität Leipzig (Leipzig), August 2010
-
IGAIA II:
Information Geometry and its Applications II,
December 12-16, 2005
Sanjo Conference Hall, University of Tokyo
- IGAIA I:
Information Geometry and its Applications I, Pescara - 1-5 July 2002
Information Geometry and Affine Differential Geometry (IGADG)
- Information Geometry and Affine Differential Geometry IV,
August 12-14, 2023, Mathematical Science Research Center, CQUT, China
- Information Geometry and Affine Differential Geometry III,
March 27-29, Nagoya, Japan
- Information Geometry and Affine Differential Geometry II,
April 11 and 12, 2014,
Shanghai Center for Mathematical Sciences,
Fudan University, Shanghai, China
- Information Geometry and Affine Differential Geometry I,
Sichuan University, Chengdu, China, 2006, Sep 3
Osaka Central Advanced Mathematical Institute: OCAMI Meetings
- OCAMI Meeting on Information Geometry and Related Fields 2010, Osaka City University, 2010, Feb 20-21 (Japanese)
- OCAMI meeting on Information Geometry 2009, Osaka City University, 2009, Jan 24-25.
- OCAMI Mini-School on Introduction to Information Geometry and Its Applications II, Osaka City University, 2007, Dec 21-24.
- OCAMI Mini-School on Introduction to Information Geometry and Its Applications,
Osaka City University, 2006, Jun 8-11.
Other conferences and events
- Further Developments of Information Geometry
(FDIG), March 17-21 2025, The University of Tokyo, Hongo, Tokyo, Japan.
- CaLISTA Workshop Geometry-Informed
Machine Learning, 2-4 Septembre 2024, Ecoles des Mines, Paris, France.
- IG4DS: International Conference on Information Geometry
for Data Science (IG4DS), 19-23 September 2022, Hamburg, Germany (conference was online only because of COVID)
- Advances in Information Geometry 2020 (canceled because of COVID)
- RIMS Joint Research: Applications of statistical manifolds to related areas
Kyoto University, 2014, Nov. 19-21.
- New developments of geometry of statistical manifolds
RIMS, Kyoto University, 2014, Feb. 19-21.
- Wasserstein geometry and Information geometry, Nagoya University, 2012, Oct 27 - 28.
- NEXT2012: International workshop on Anomalous Statistics, Generalized Entropies, and Information Geometry,
Nara Women's Univeristy, Nara, Japan, (Mar. 2012)
- NIT Meeting on Geometry and Statistics, Nagoya Institute of Technology, 2012, Jan 31 - Feb 1.
- Workshop on Geometry of Statistical Manifolds and Related Fields, Hokkaido University, 2011, Dec 2-4.
- Information Geometry, Generalized Conformal Structures over Statistical Manifolds and Related Topics
Tohoku Gakuin University, 2010, Dec 17-18
- RIKEN Workshop on Information Geometry, RIKEN BSI Central Building, 2011, Aug 31 - Sep 1.
- BSI Forum: Mini-Symposium on Information Geometry, RIKEN, 2008 May 29.
- School of Infinite Dimensional Information Geometry,
Nagoya Institute of Technology 2006, Nov 13
- BSI Forum: Information Geometry from the Perspective of Affine Differential Geometry
RIKEN, 2006 Jan 29-30.
- The 5th Workshop on Differential Geometry and Information Geometry
Nagoya university, 2006 Feb 17-18
Last updated by Frank.Nielsen@acm.org, November 2024
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