Steve Oudot

Directeur de Recherche, Inria
Professeur Chargé de Cours, 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)

News


Research interests

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

Students

  • Vadim Lebovici (since 2020, co-advised with François Petit)
  • Théo Lacombe (2017-2020, co-advised with Marco Cuturi, now Maître de Conférence at LIGM, Université Gustave Eiffel)
  • Nicolas Berkouk (2016-2020, now Postdoc at EPFL)
  • Elchanan Solomon (2016-2019, co-advised with Jeffrey Brock, now Research Assistant Professor at Duke University)
  • Jérémy Cochoy (2015-2018, now CTO at Symphonia)
  • Mathieu Carrière (2014-2017, now Research Scientist at Inria)
  • Mickaël Buchet (2011-2014, co-advised with Frédéric Chazal, now University Assistant at T.U. 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)

Steve Oudot and Luis Scoccola. On the stability of multigraded Betti numbers and Hilbert functions. ArXiv preprint 2112.11901 [AT], December 2021.
Julian Le Deunf, Rudresh Mishra, Yves Pastol, Romain Billot and Steve Oudot. Seabed prediction from airborne topo-bathymetric lidar point cloud using machine learning approaches. IEEE OCEANS, 2021.
Jacob Leygonie, Mathieu Carrière, Théo Lacombe and Steve Oudot. A Gradient Sampling Algorithm for Stratified Maps with Applications to Topological Data Analysis. ArXiv preprint 2109.00530 [CG], September 2021.
Magnus Botnan, Steffen Oppermann and Steve Oudot. Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions and Rank-Exact Resolutions. ArXiv preprint 2107.06800 [AT], July 2021.
Steve Oudot and Elchanan Solomon. Barcode Embeddings for Metric Graphs. Algebraic & Geometric Topology, 21(3):1209--1266, 2021.
Jacob Leygonie, Steve Oudot and Ulrike Tillmann. A Framework for Differential Calculus on Persistence Barcodes. Foundations of Computational Mathematics, 2021.
Magnus Botnan, Vadim Lebovici and Steve Oudot. On rectangle-decomposable 2-parameter persistence modules. Proc. Symposium on Computational Geometry, 2020. Full version in Discrete and Computational Geometry, 2022.

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