Steve Oudot

Directeur de Recherche (Senior Researcher), head of the GeomeriX group, Inria
Professeur Chargé de Cours (Adjunct Professor), École Polytechnique

Address:


 Inria Saclay - Ile-de-France
Alan Turing Bldg, Office 134
1 rue Honoré d'Estienne d'Orves
91120 Palaiseau
GPS:+48° 42' 52.11", +2° 12' 20.78"
Phone:+33 174 854 216
Email:steve.oudot[at]inria.fr (public key)

Research interests

  • persistence theory and its connections to homological algebra, representation theory, and sheaf theory
  • topological data analysis and its connections to statistics, non-smooth optimization, and machine learning
  • multimodal time series analysis
  • manifold learning, sampling and reconstruction

Students

  • Théo Prosper (since 2025, co-advised with Mathieu Carrière)
  • Émilien Ganier (since 2025, co-advised with Pooran Memari)
  • Marceau Michel (since 2024, co-advised with Romain Billot)
  • Jingyi Li (since 2023)
  • Julie Mordacq (since 2022, co-advised with Vicky Kalogeiton)
  • Vadim Lebovici (2020-2023, co-advised with François Petit, now Maître de Conférence at IMJ-PRG, Sorbonne University)
  • Théo Lacombe (2017-2020, co-advised with Marco Cuturi, now Maître de Conférence at LIGM, Gustave Eiffel University)
  • Nicolas Berkouk (2016-2020, now Data Analyst at the CNIL)
  • Elchanan Solomon (2016-2019, co-advised with Jeffrey Brock, now Lead Scientist at Deep Detection)
  • Jérémy Cochoy (2015-2018, now CEO at Redstone Solution OÜ)
  • Mathieu Carrière (2014-2017, now Chargé de Recherche at Inria)
  • Mickaël Buchet (2011-2014, co-advised with Frédéric Chazal, now Data Consultant at Polyconseil)

Books
Steve Oudot. Persistence Theory: From Quiver Representations to Data Analysis. AMS Mathematical Surveys and Monographs, volume 209, 2015. [comments and corrections]

Note: you can download a watermarked pdf of the book (see pdf icon to the right). For copyright information and terms of use, see the terms page on the AMS website. 		  
F. Chazal, V. de Silva, M. Glisse, S. Oudot. The Structure and Stability of Persistence Modules. Springer Briefs in Mathematics, 2016.
M. Carrière, V. Humilière, S. Oudot. Analyse topologique de données. Journées mathématiques X-UPS. Éditions de l'École polytechnique, 2024.   

Surveys
Steve Oudot. Differential Calculus and Optimization in Persistence Module Categories. To appear in the Proceedings of the 9th European Congress of Mathematics (EMS Press), 2024.
Steve Oudot and Elchanan Solomon. Inverse Problems in Topological Persistence. Abel Symposia, vol. 15, 2020.

Recent research projects and publications (click here for a comprehensive list)
Steve Oudot and Lukas Waas. A persistent version of Latschev's theorem. To appear in the proceedings of the 42nd International Symposium on Computational Geometry (SoCG 2026).
Ethan André, Jingyi Li, David Loiseaux and Steve Oudot. Estimating the persistent homology of R^n-valued functions using function-geometric multifiltrations. ArXiv preprint 2412.04162 (v2) [AT], November 2025. Short version to appear in the proceedings of the 42nd International Symposium on Computational Geometry (SoCG 2026).
Soham Mukherjee, Shreyas N. Samaga, Cheng Xin, Steve Oudot and Tamal K. Dey. D-GRIL: End-to-End Topological Learning with 2-parameter Persistence. To appear in the proceedings of the 42nd International Symposium on Computational Geometry (SoCG 2026).
Julie Mordacq, David Loiseaux, Vicky Kalogeiton and Steve Oudot. T-REGS: Minimum Spanning Tree Regularization for Self-Supervised Learning. Accepted to NeurIPS 2025 as a spotlight paper.
Thomas Brüstle, Steve Oudot, Luis Scoccola and Hugh Thomas. Counts and end-curves in two-parameter persistence. ArXiv preprint 2505.13412 [AT], May 2025.
Alex Fernandez, Steve Oudot and François Petit. Computation of gamma-linear projected barcodes for multiparameter persistence. Journal of Applied and Computational Topology, vol. 9, number 12, 2025.
Vadim Lebovici, Jan-Paul Lerch and Steve Oudot. Local Characterization of Block-Decomposability for Multiparameter Persistence Modules. To appear in Homology, Homotopy and Applications.
Diana Marin, Amal Dev Parakkat, Stefan Ohrhallinger, Michael Wimmer, Steve Oudot and Pooran Memari. SING: Stability-Incorporated Neighborhood Graph. SIGGRAPH Asia 2024 Conference Papers, article 130, 2024.
Magnus Botnan, Steffen Oppermann, Steve Oudot and Luis Scoccola. On the bottleneck stability of rank decompositions of multi-parameter persistence modules. Advances in Mathematics, 451:109780, 2024.

Teaching

 École polytechnique:
  • CSC_43042_EP -- Algorithms for data analysis in Python
  • CSC_51056_EP -- Topological Data Analysis
  • MPRI -- Computational Geometry and Topology
Others:
  • Spring School in Luxembourg (March 2018): link
  • Summer School in TUM (July 2016): link
  • Spring School in La Marsa (April 2016): link