Section: Partnerships and Cooperations

International Initiatives

Inria Associate Teams Not Involved in an Inria International Labs

CATS

• Title: Computations And Topological Statistics

• International Partner (Institution - Laboratory - Researcher):

  • Carnegie Mellon University (United States) - Department of Statistics - Larry Wasserman

• Start year: 2015

• See also: http://geometrica.saclay.inria.fr/collaborations/CATS/CATS.html

• Topological Data Analysis (tda ) is an emergent field attracting interest from various communities, that has recently known academic and industrial successes. Its aim is to identify and infer geometric and topological features of data to develop new methods and tools for data exploration and data analysis. tda results mostly rely on deterministic assumptions which are not satisfactory from a statistical viewpoint and which lead to a heuristic use of tda tools in practice. Bringing together the strong expertise of two groups in Statistics (L. Wasserman's group at CMU) and Computational Topology and Geometry (Inria Geometrica), the main objective of CATS is to set-up the mathematical foundations of Statistical tda   to design new tda methods and to develop efficient and easy-to-use software tools for tda .