Geometric Science of Information - Presentation - Organisation - Subscription
GSI SEE website
The objective of this group is to bring together pure/applied mathematicians, physicist and engineers, with common interest for Geometric tools and their applications. It notably aim to organize conferences and to promote collaborative european and international research projects, and diffuse research results on the related domains. It aims to organise conferences, seminar, to promote collaborative local, european and international research project, and to diffuse research results in the the different related interested domains.
It emphasizes an active participation of engineers and researchers to develop emerging areas of collaborative research on “Information Geometry and Their Advanced Applications”. Current and ongoing uses of Information Geometry in applied mathematics are the following:
- Thermodynamic, statistical physic.
- Advanced Signal/Image/Video Processing, medical imaging
- Complex Data Modeling and Analysis, Topological data analysis, dimension reduction, clustering, pattern detection
- Information Ranking and Retrieval, Coding, Compression
- Cognitive Systems, Artificial intelligence, Neural networks, Optimal Control, biological modelisation and computational morphology, Speech-sound recognition, natural language treatment.
- Quantum information, correlations, coding
- Statistics on Manifolds, Machine Learning, Manifold Learning
which are also substantially relevant for industry and current social challenges.
Working Group and diffusion list - How to participate - contact
- Subscribe to working group and diffusion list
- Propose a Partnership - developp a project
- Announce your conferences - workshop - seminar - job offers (etc.) on the topics of GSI, there are on average about 30000 page visit/month on the forum.
- Contact: firstname.lastname@example.org
The 21st century came out with some new hard interelated challenges regarding social dynamic (including demographical, educational, medical, ressources sustanable developments) and ecological dynamic (including climate change, ressources sustanable developments), all requiring technological and theoretical innovation, new inventive solutions and tools. To face thoses challenges, it is not sufficient to produce innovative solution, it also requires the conjugate efforts of industrial and public research, and an efficient exchange of knowledge and practices between those domains. In such a aim, the GSI group consist in a partnership between two associations, the SEE and the CS-DC unitwin UNESCO, complementary in their aims and concerned actors, public and private:
- SEE : Society of Electricity, Electronic and information and communication technologies - Société de l'électricité, de l'électronique et des technologies de l'information et de la communication. SEE was founded in 1883, and aims to bridge research domains with industrial application concerning the domains of energy, electronic, information, communication, aerospatial, automatic, transport and biomedical applications. SEE notably organise a working group, the "circle of firms" that encompass the main industrial and electrical actors.
- CS-CD Unitwin UNESCO : Complex Systems Digital Campus, a UNESCO Unitwin. The aim of the CS-DC is to promote an integrated system of research, education and training, information and documentation in the domain of the science and engineering of complex systems, global social economic educational and cultural sustainable development and to bridge the gap between science and engineering. It notably developps open tools for scientific research and education. The CS-DC international network of institutions comprises more than 100 higher education and research institutions around the world.
Conferences and Seminar
Frank Nielsen's website archives information about the biannual conference "Geometric Science of Information (GSI)".
- Leon Brillouin Seminar: The GSI conference cycle has been initiated by the Brillouin Seminar team.
- Matrix Information Geometry : the indo-french workshop on “Matrix Information Geometry” was organized in 2011, that yielded an edited book in 2013.
- GSI2013 : the first conference of the cycle Geometric science of Information was organised at MINES ParisTech in 2013, see GSI2013 and LNCS proceedings.
- MaxEnt2014 : the 34th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering was organised 21-26 september 2014, Château Clos Lucé, Parc Leonardo Da Vinci, Amboise, France.
- GSI2015 : the second conference of the cycle Geometric science of Information was organised at Ecole Polytechnique as LIX Colloquium the 28-30th of october 2015, see GSI2015.
- TGSI2017 : the conference on The Topological and Geometrical Structures of Information is organised at CIRM (Centre International de Rencontres Mathématiques) in Marseille, France the 27th august-1st september 2017, see TGSI2017 .
- Information Geometry - Springer
Publisher: Springer International Publishing (2016)
- Joseph Fourier 250th Birthday: Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century - 2019 MDPI - Entropy PDF-Download Guest Editor: Frédéric Barbaresco, THALES, Prof. Jean-Pierre Gazeau, Université Paris-Diderot . Editorial
- Jean-Louis Koszul -
(reed) 2019 Springer LINK Video
Offers a unique and unified overview of symplectic geometry, Highlights the differential properties of symplectic manifolds, Great interest for the emerging field of "Geometric Science of Information”
This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the differential properties of graded symplectic manifolds of dimensions (0,n). It is a useful reference resource for students and researchers interested in geometry, group theory, analysis and differential equations. This book is also inspiring in the emerging field of Geometric Science of Information, in particular the chapter on Symplectic G-spaces, where Jean-Louis Koszul develops Jean-Marie Souriau's tools related to the non-equivariant case of co-adjoint action on Souriau’s moment map through Souriau’s Cocycle, opening the door to Lie Group Machine Learning with Souriau-Fisher metric.
Geometric Structures of Information -
2019 Editors: Nielsen (Eds.) Springer
Features new and fruitful interactions between several branches of science: information science, mathematics and physics
Théorie mathématique de la communication -
by Claude Shannon et Warren Weaver. 160 p. CASSINI edition. French translation with preface of Olivier Rioul.
Geometric Science of Information -
Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings. Editors: Nielsen, Frank, Barbaresco, Frédéric (Eds.)
Information geometry - Springer 2017
Nihat Ay, Jürgen Jost, Hong Van Le, Lorenz Schwachhöfer . XI, 407 pages
Differential Geometrical Theory of Statistics DOWNLOAD
Frédéric Barbaresco and Frank Nielsen (Eds.) Pages: XIV, 458 Published: 6 June 2017
(This book is a printed edition of the Special Issue Differential Geometrical Theory of Statistics that was published in Entropy)
Computational Information Geometry
Editors: Nielsen, Frank, Critchley, Frank, Dodson, Christopher T. J.
Publisher: Springer International Publishing (2016)
Encyclopedia of Distances - 4th edition
Author: Michel Marie Deza, Elena Deza
Publisher: Springer-Verlag Berlin Heidelberg (2016)
Information Geometry and Its Applications
Author: Shun-ichi Amari
Publisher: Springer Japan (2016), Applied Mathematical Sciences vol 194
- Galilean Mechanics and Thermodynamics of Continua
Author: Gery de Saxcé
Publisher: Wiley-ISTE (2015), Binding: Paperback, 446 pages
Information, Entropy and their Geometric Structures (Free download)
Author: Frédéric Barbaresco, Ali Mohammad-Djafari
Publisher: MDPI (2015), Binding: Paperback, 542 pages
Geometric Science of Information - Second International Conference, GSI 2015
Author: Frank Nielsen, Frédéric Barbaresco (Eds.)
Publisher: Springer(2015), Binding: Softcover, eBook
Geometric Science of Information: First International Conference, GSI 2013, Proceedings (Lecture Notes in Computer Science)
Publisher: Springer (2013), Binding: Paperback, 879 pages
Geometric Theory of Information (Signals and Communication Technology)
Publisher: Springer (2014) Binding: Hardcover, 392 pages
Matrix Information Geometry
Publisher: Springer (2012) Binding: Hardcover, 456 pages
Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MaxEnt 2014)
Volume 1641, Editor: AIP Publishing
Encyclopedia of Distances 4th edition
Author: Michel Marie Deza, Elena Deza
Publisher: Springer (2016), Binding: Hardcover, XXII, 756 pages