3 papers
cs.CG2026
Statistical learning on measures: an application to persistence diagrams
Olympio Hacquard, Gilles Blanchard, Clément Levrard
We consider a binary supervised learning classification problem where instead of having data in a finite-dimensional Euclidean space, we observe measures on a compact space $\mathc…
cs.LG2025
Hypergraph clustering using Ricci curvature: an edge transport perspective
Olympio Hacquard
In this paper, we introduce a novel method for extending Ricci flow to hypergraphs by defining probability measures on the edges and transporting them on the line expansion. This a…
math.AT2024
Discrete transforms of quantized persistence diagrams
Michael Etienne Van Huffel, Olympio Hacquard, Vadim Lebovici +1
Topological data analysis leverages topological features to analyze datasets, with applications in diverse fields like medical sciences and biology. A key tool of this theory is th…