256 citations · 2.3k across the 100 of their papers we have counts for
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cs.CG2007★ 15 cited
On the Centroids of Symmetrized Bregman Divergences
Frank Nielsen, Richard Nock
In this paper, we generalize the notions of centroids and barycenters to the broad class of information-theoretic distortion measures called Bregman divergences. Bregman divergence…
cs.CG2007★ 114 cited
Bregman Voronoi Diagrams: Properties, Algorithms and Applications
Frank Nielsen, Jean-Daniel Boissonnat, Richard Nock
The Voronoi diagram of a finite set of objects is a fundamental geometric structure that subdivides the embedding space into regions, each region consisting of the points that are…