Program at a glance

Note: This program includes links that allow direct access to detailed sections of the website (keynotes, sessions, posters). Clicking a link will automatically take you to the relevant section, even if it is located on a different page.

Wednesday, 29 October 2025

09:00 - Opening & Keynote Session

09:00

Conference Opening Session Frédéric Barbaresco & Frank Nielsen (GSI’25 General Chairs)

09:15

Topological Deep Learning: Unlocking the Structure of Relational Systems

Nina MIOLANE

(UC Santa Barbara, USA)

10:30-11:00 - Coffee Break + GSI'25 Posters Session

Auditorium Maupertuis

11:00 - Geometric Statistics (Session 1)

Room Vauban 1

11:00 -A geometric approach to differential equations (Session 1)

Room Vauban 2

11:00 -Lie Group in Learning Distributions & in Filters (Session 1)

12:20-12:40 - Lunch break + GSI'25 Posters Session

14:00

The Lp Fisher-Rao metrics and the alpha-connections

Alice Le Brigant

(Université Paris 1 Panthéon-Sorbonne, France)

Auditorium Maupertuis

15:00 - Geometric Statistics (Session 2)

Room Vauban 1

15:00 - A geometric approach to differential equations (Session 2)

Room Vauban 2

15:00 - Lie Group in Learning Distributions & in Filters (Session 2)

16:00-16:30 - Coffee Break + GSI'25 Posters Session

Auditorium Maupertuis

16:30 - Neurogeometry

Room Vauban 1

16:30 - New trends in Nonholonomic Systems

Room Vauban 2

16:30 - Learning of Dynamic Processes

18:45 - Conference Group Photo

19:00 - Cocktail

Thursday, 30 October 2025

09:15

Metriplectic Dynamics: A Geometrical Framework for Thermodynamically Consistent Dynamical Systems

Philip J. MORRISON

(The University of Texas at Austin, USA)

Auditorium Maupertuis

10:00 - Geometric Methods in Thermodynamics (Session 1)

Room Vauban 1

10:00 - Stochastic Geometric Dynamics

Room Vauban 2

10:00 - Optimization and learning on manifolds (Session 1)

11:10 - Coffee Break + GSI'25 Posters Session (chairman : Rita FIORESI)

Auditorium Maupertuis

11:50 - Geometric Methods in Thermodynamics (Session 2)

Room Vauban 1

11:50 - Classical & Quantum Information, Geometry and Topology

Room Vauban 2

11:50 - Optimization and learning on manifolds (Session 2)

13:30 - Lunch Break + GSI'25 Posters Session (chairman : Rita FIORESI)

15:00

Bicentenary of Thermodynamics and Sadi Carnot’s Seminal Work: From Constantin Carathéodory’s Contact Geometry Model to Jean-Marie Souriau’s Symplectic Foliation Structure

Frédéric BARBARESCO

(THALES, France)

16:00 - Coffee Break + GSI'25 Posters Session (chairman : Rita FIORESI)

Auditorium Maupertuis

16:30 - Information Geometry, Delzant Toric Manifold & Integrable System

Room Vauban 1

16:30 - Geometric Green Learning on Groups and Quotient Spaces

Room Vauban 2

16:30 - Applied Geometry-Informed Machine Learning (Session 1)

19:45 - Conference Group Photo

20:00 - Gala Dinner

Friday, 31 October 2025

08:30

A Noncommutative perspective of Graph Neural Networks

Rita FIORESI

(University of Bologna, Italy)

Auditorium Maupertuis

09:30 - Geometric Mechanics (Session 1)

Room Vauban 1

09:30 - Computational Information Geometry and Divergences (session 1)

Room Vauban 2

09:30 - Statistical Manifolds and Hessian information geometry (Session 1)

11:10-11:30 - Coffee Break + GSI'25 Posters Session

Auditorium Maupertuis

11:40 - Geometric Mechanics (Session 2)

Room Vauban 1

11:40 - Computational Information Geometry and Divergences (session 2)

Room Vauban 2

11:40 - Applied Geometry-Informed Machine Learning (Session 2)

13:20-14:50 - Lunch Break + GSI'25 Posters Session

14:50

Extended Variational Learning via Fenchel-Young Losses

Mário A.T. FIGUEIREDO

(Universidade de Lisboa, Portugal)

Auditorium Maupertuis

15:50 - Divergences in Statistics and Machine Learning

Room Vauban 1

15:50 - Statistical Manifolds and Hessian information geometry (Session 2)

Room Vauban 2

15:50 - Geometric Learning and Differential Invariants on Homogeneous Spaces

17:50 - Closing Session (Paper Awards)