no code implementations • 20 Aug 2019 • Maxime Soler, Martin Petitfrere, Gilles Darche, Melanie Plainchault, Bruno Conche, Julien Tierny
Different metrics, based on optimal transport, for comparing time-varying persistence diagrams in this specific applicative case are introduced.
no code implementations • 17 Aug 2018 • Maxime Soler, Mélanie Plainchault, Bruno Conche, Julien Tierny
First, we revisit the seminal assignment algorithm by Kuhn and Munkres which we specifically adapt to the problem of matching persistence diagrams in an efficient way.
no code implementations • 21 Jun 2018 • Guillaume Favelier, Charles Gueunet, Attila Gyulassy, Julien Kitware, Joshua Levine, Jonas Lukasczyk, Daisuke Sakurai, Maxime Soler, Julien Tierny, Will Usher, Qi Wu
This tutorial presents topological methods for the analysis and visualization of scientific data from a user's perspective, with the Topology ToolKit (TTK), a recently released open-source library for topological data analysis.
no code implementations • 8 Feb 2018 • Maxime Soler, Melanie Plainchault, Bruno Conche, Julien Tierny
However, in many scenarios it is desirable to control in a similar way the preservation of higher-level notions, such as topological features , in order to provide guarantees on the outcome of post-hoc data analyses.