5 citations · 6 across the 5 of their papers we have counts for
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cs.LG2024
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…
cs.LG2023★ 5 cited
Euler Characteristic Tools For Topological Data Analysis
Olympio Hacquard, Vadim Lebovici
In this article, we study Euler characteristic techniques in topological data analysis. Pointwise computing the Euler characteristic of a family of simplicial complexes built from…
cs.LG2021★ 1 cited
Topologically penalized regression on manifolds
Olympio Hacquard, Krishnakumar Balasubramanian, Gilles Blanchard +2
We study a regression problem on a compact manifold M. In order to take advantage of the underlying geometry and topology of the data, the regression task is performed on the basis…