Mathieu Carrière, PhD

I did my PhD at Inria Saclay in the DataShape team, under the supervision of Steve Oudot. My manuscript is available here.

Research interests


Point Signatures
Mathieu Carrière, Steve Oudot, Maksim Ovsjanikov.
Stable Topological Signatures for Points on 3D Shapes.
Accepted to SGP 2015.
Journal Code
1D Mapper
Mathieu Carrière, Steve Oudot.
Structure and Stability of the 1-Dimensional Mapper.
Accepted to SoCG 2016. Accepted to JFoCM.
Conference Journal arXiv (bibtex)
Reeb Distance
Mathieu Carrière, Steve Oudot.
Local Equivalence and Intrinsic Metrics between Reeb Graphs.
Accepted to SoCG 2017.
Conference arXiv (bibtex)
SW kernel
Mathieu Carrière, Marco Cuturi, Steve Oudot.
Sliced Wasserstein Kernel for Persistence Diagrams.
Accepted to ICML 2017.
Best Scientific Contribution ED STIC 2017 (2nd prize)
Journal arXiv (bibtex)
Stat Mapper
Mathieu Carrière, Bertrand Michel, Steve Oudot.
Statistical Analysis and Parameter Selection for Mapper.
Submitted to JMLR.
arXiv (bibtex)