15 citations · 22 across the 6 of their papers we have counts for
3 papers · 1 filter
Classifying histograms of medical data using information geometry of beta distributions
Alice Le Brigant, Nicolas Guigui, Sana Rebbah +1
In this paper, we use tools of information geometry to compare, average and classify histograms. Beta distributions are fitted to the histograms and the corresponding Fisher inform…
Fisher-Rao geometry of Dirichlet distributions
Alice Le Brigant, Stephen Preston, Stéphane Puechmorel
In this paper, we study the geometry induced by the Fisher-Rao metric on the parameter space of Dirichlet distributions. We show that this space is geodesically complete and has ev…
Convergence of the Hesse-Koszul flow on compact Hessian manifolds
Stéphane Puechmorel, Tat Dat Tô
We study the long time behavior of the Hesse-Koszul flow on compact Hessian manifolds. When the first affine Chern class is negative, we prove that the flow converges to the unique…