Research topic

The general goal of my PhD is to evaluate association statistics of electrophysiological data. Among other techniques, I apply topological data analysis tools.

Keywords: mathematical neuroscience, topological data analysis

Articles

• Louise Martineau, Christophe Pouzat, Ségolen Geffray (2026). Persistent homology of spike trains with the Curto-Itskov filtration: stability and applications.
  Preprint. [HAL]
• Louise Martineau, Christophe Pouzat, Ségolen Geffray (2025). ToMATo: an efficient and robust clustering algorithm for high dimensional datasets. An illustration with spike sorting.
  Preprint. [HAL]

Communications

• June 2026: International Conference on Mathematical Neuroscience 2026, Montréal.
  To be coming (poster).
• April 2026: PhD Student Seminar, Strasbourg.
  Topology and neuroscience: applying persistent homology to spike train analysis.
• Nov. 2025: Journées Probabilités & Statistique de l'IECL, Nancy.
  The ToMATo clustering algorithm for spike sorting.
• Nov. 2025: Journées Math Bio Santé 2025, Montpellier.
  The ToMATo clustering algorithm for spike sorting (poster).
• Oct. 2025: Mathematical Biology Modelling days of Besançon 2025, Besançon.
  The ToMATo clustering algorithm for spike sorting.
• Oct. 2025: Forum Entreprises & Mathématiques 2025, Paris.
  The ToMATo clustering algorithm for spike sorting (poster).
• June 2025: International Conference on Mathematical Neuroscience 2025, Barcelona.
  The ToMATo clustering algorithm for spike sorting (poster).
• June 2025: Journées de Statistiques 2025, Marseille.
  The ToMATo clustering algorithm for neuronal spike sorting.
• May 2025: PhD Student Seminar, IECL Nancy.
  Introduction à l’analyse topologique des données en statistique et applications en neurosciences.
• March 2025: PhD Student Seminar, Strasbourg.
  The ToMATo clustering algorithm for neuronal spike sorting.
• Oct. 2024: Journée de rentrée des doctorants, Strasbourg.
  Topological data analysis as a new tool in neuroscience (poster).
• March 2024: Statistics Seminar, Strasbourg.
  Introduction à l'analyse topologique de données en statistique.
• Feb. 2024: PhD Student Seminar, Strasbourg.
  Estimation de sous-variété, d'espace tangent et de courbure.
  Based on the article "Non-Asymptotic Rates for Manifold, Tangent Space and Curvature Estimation" by Eddie Aamari and Clément Levrard, 2019.