Slides, Lectures, and Videos

Selected slides

• Some recent results on statistical distances (May 2024).
  

  In this talk, I introduce three recent concepts for distances: 1. projective distances, 2. comparative convexity, and 3. maximal invariant. Presented at EDMSA'24

• 
  Divergences and comparative convexity (2024)
  
• 
  Information geometry: A short introduction with some recent advances, Bayes-Duality Workshop (PDF), June 2023
• Slides
  Information geometry: Geometry of dual structures (A very short introduction) (pdf)
   
  
• Slides
  Introduction to information geometry (pdf)
  
• Slides (pdf) Une introduction à la géométrie de l’information (in french), Seminar in the curriculum "Information et complexité" of Prof. Stéphane Mallat (abstract+video+soundtrack) (video + Q/A sessions in College de France).
  
  Video on Youtube, February 23rd 2022.
• Information measures and geometry of the Zeta distributions and related distributions, MaxEnt'22
  
• Information Geometry: An Invitation for Machine Learning, NeurIPS Meetup Japan (14th December 2021)
  
• Bregman divergences, dual information geometry, and generalized comparative convexity (November 2021)
  

Selected lectures

• The dual geometry of Shannon information and its applications
  Shannon 100th birthday celebration (28/10/2016): [Slides]
   
   
  
• Computational Information Geometry for Machine Learning
  Machine Learning Summer School (MLSS) Sydney 2015: [Slides]  
  

Selected video

• On balls in a Hilbert polygonal geometry
  Symposium on Computational Geometry Video (SoCG 2017): [Video PDF]
  [PDF Clustering in Hilbert Simplex Geometry] [Project portal]
   
  
• Visualizing hyperbolic Voronoi diagrams
  Symposium on Computational Geometry Video (SoCG 2014): [Video PDF]
  [PDF Hyperbolic Voronoi diagrams made easy, ICCSA 2010] [Project portal]
   
  
• Visualizing Bregman Voronoi diagrams
  Symposium on Computational Geometry Video (SoCG 2007): [Video PDF paper]
  [PDF Bregman Voronoi diagrams, Discrete & Computational Geometry, 2010]
  
   
   
  
• On Approximating the Smallest Enclosing Bregman Balls
  Symposium on Computational Geometry Video (SoCG 2006): [Video PDF paper]
  [PDF Fitting the Smallest Enclosing Bregman Ball, ECML 2005]