87 citations · 317 across the 22 of their papers we have counts for
Showing 2017 · cs.CGShow all
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cs.CG2017★ 87 cited
Sliced Wasserstein Kernel for Persistence Diagrams
Mathieu Carrière, Marco Cuturi, Steve Oudot
Persistence diagrams (PDs) play a key role in topological data analysis (TDA), in which they are routinely used to describe topological properties of complicated shapes. PDs enjoy…
cs.CG2017★ 59 cited
Statistical Analysis and Parameter Selection for Mapper
Mathieu Carrière, Bertrand Michel, Steve Oudot
In this article, we study the question of the statistical convergence of the 1-dimensional Mapper to its continuous analogue, the Reeb graph. We show that the Mapper is an optimal…
cs.CG2017
Local Equivalence and Intrinsic Metrics between Reeb Graphs
Mathieu Carrière, Steve Oudot
As graphical summaries for topological spaces and maps, Reeb graphs are common objects in the computer graphics or topological data analysis literature. Defining good metrics betwe…