87 citations · 322 across the 21 of their papers we have counts for
4 papers · 1 filter
Two-Tier Mapper: a user-independent clustering method for global gene expression analysis based on topology
Rachel Jeitziner, Mathieu Carrière, Jacques Rougemont +3
There is a growing need for unbiased clustering methods, ideally automated. We have developed a topology-based analysis tool called Two-Tier Mapper (TTMap) to detect subgroups in g…
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…
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…
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…