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
- 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 FSMP postdoc at the LAGA of Sorbonne Paris Nord University)
- Théo Lacombe (2017-2020, co-advised with Marco Cuturi, now Maître de Conférence at LIGM, Université Gustave Eiffel)
- 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
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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.
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F. Chazal, V. de Silva, M. Glisse, S. Oudot. The Structure and
Stability of Persistence Modules. Springer Briefs in Mathematics, 2016.
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M. Carrière, V. Humilière, S. Oudot. Analyse topologique de données. Séminaire des Journées X-UPS 2024, publié aux Éditions de l'École Polytechnique.
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Surveys
Recent research projects and publications (click here for a comprehensive list)
Teaching
École polytechnique:
- INF 442 -- Algorithms for data analysis in Python
- INF 556 -- 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
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