Geometric Science of Information (GSI): Biannual international conference co-organized by Frédéric Barbaresco and Frank Nielsen.
Last updated, February 2025.
GSI music signage: Sonatina for flute and clarinet: I. Pastorale by Jean Cartan,
son of renown Élie Cartan
and brother of
Henri Cartan.
Jean Cartan was a student of Albert
Roussel who was himself a student of Julien Koszul whose grandson
was geometer Jean-Louis Koszul.
If music does not play, we recommend you to press play while browsing this GSI page!
Forthcoming: 7th International Conference, GSI 2025,
Saint-Malo, France, 29-31 October 2025.
Keynote speakers:
Professor Mario A. T. Figueiredo (Instituto de Telecomunicações, Instituto Superior Técnico, Universidade de Lisboa, Portugal) "Extended Variational Learning via Fenchel-Young Losses"
Professor José Figueroa-O'Farrill (School of Mathematics, The University of Edinburgh, UK)
"Cohomological approach to symplectic reduction and applications in string theory: some old and new results"
Professor Nina Miolane
(UC Santa Barbara. Co-Director, AI Center, Bowers Women's Brain Health Initiative. Affiliate, Stanford SLAC, USA) "Topological Deep Learning: Unlocking the Structure of Relational Systems"
Professor Philip J. Morrison
(The University of Texas at Austin , Physics Department, USA) "Metriplectic Dynamics: A Geometrical Framework for Thermodynamically Consistent Dynamical Systems"
3rd International Conference, GSI 2017, Mines ParisTech, Paris, France, November 7-9, 2017
📖Proceedings
📹GSI'17 video web site
Group photo:
2nd International Conference, GSI 2015, Ecole Polytechnique, Palaiseau, France, October 28-30, 2015
📖Proceedings
📹GSI'15 video web site (LIX Colloquium 2015)
Group photo:
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.
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}
}
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
booklet
and 
