Steve Oudot

Research Scientist, DataShape team, Inria
Professor (part-time), École Polytechnique

Address:


Inria Saclay - Ile-de-France
Alan Turing Bldg, Office 2105
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

  • topological data analysis
  • persistence theory: algebra, topology, algorithms, statistics, machine learning
  • reconstruction and probing
  • mesh generation

Students

  • Théo Lacombe (since 2017, co-advised with Marco Cuturi)
  • Nicolas Berkouk (since 2016)
  • Elchanan Solomon (2016-2019, co-advised with Jeffrey Brock)
  • Jérémy Cochoy (2015-2018, now CTO at Symphonia)
  • Mathieu Carrière (2014-2017, now post-doc at Columbia University)
  • Michaël Buchet (2011-2014, now post-doc at University of Graz)

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.

Surveys

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 overview)

Magnus Botnan, Vadim Lebovici and Steve Oudot. On rectangle-decomposable 2-parameter persistence modules. To appear in Proc. Symposium on Computational Geometry, 2020.
Clément Maria, Steve Oudot and Elchanan Solomon. Intrinsic Topological Transforms via the Distance Kernel Embedding. To appear in Proc. Symposium on Computational Geometry, 2020.
Jacob Leygonie, Steve Oudot and Ulrike Tillmann. A Framework for Differential Calculus on Persistence Barcodes. ArXiv preprint 1910.00960 [AT], Dec. 2019.
Nicolas Berkouk, Grégory Ginot and Steve Oudot. Level-sets persistence and sheaf theory. ArXiv preprint 1907.09759 [AT], Jul. 2019.
Ellen Gasparovic, Elizabeth Munch, Steve Oudot, Katharine Turner, Bei Wang and Yusu Wang. Intrinsic Interleaving Distance for Merge Trees. ArXiv preprint 1908.00063 [CG], Jul. 2019.
Michael Kerber, Michael Lesnick and Steve Oudot. Exact Computation of the Matching Distance on 2-Parameter Persistence Modules. Proc. Symposium on Computational Geometry, pages 46:1-15, 2019.

Teaching

École polytechnique:
  • INF 442 -- Algorithms for data analysis in C++
  • INF 556 -- Topological Data Analysis
  • INF 631 -- Data Analysis: geometry and topology in arbitrary dimensions
Others:
  • Spring School in Luxembourg (March 2018): link
  • Summer School in TUM (July 2016): link
  • Spring School in La Marsa (April 2016): link