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DATASHAPE Research team

Understanding the shape of data

Team presentation

DataShape is a research project in Topological Data Analysis (TDA), a recent field whose aim is to uncover, understand and exploit the topological and geometric structure underlying complex and possibly high dimensional data. The DataShape project gathers a unique variety of expertise that allows it to embrace the mathematical, statistical, algorithmic and applied aspects of the field in a common framework rangin g from fundamental theoretical studies to experimental research and software development.

The expected output of DataShape is two-fold. First, we inten d to set-up and develop the mathematical, statistical and algorithmic foundations of Topological and Geometric Data Analysis. Second, we intend to develop the Gudhi platform in order to provide an efficient state-of-the-art toolbox for the understanding of the topology and geometry of data.

Research themes

  • Algorithmic aspects of topological and geometric data analysis
  • Statistical aspects of topological and geometric data analysis
  • Topological approaches for multimodal data processing
  • Software development
  • Transfer and applications

International and industrial relations

International collaborations:

  • [2015-2017] : Inria - Carnegie Mellon University Associated team, CATS : Computations And Topological Statistics.

Industrial collaborations:

  • [2017-on] Sysnav: 1 Phd student working on movement analysis of pedestrians and patients from inertial sensors.
  • [2017-on] Sysnav: 1 Phd student working on cap estimation for autonomous vehicles.
  • [2017-on] Sysnav: joint ANR-DGA project (challenge Malin - Maitrise de la localisation Indoor).

 

 

Keywords: Topological Data Analysis Computational geometry Computational topology