Research
PhD Thesis
Elodie Maignant, under the supervision of Xavier Pennec and Alain Trouvé. Barycentric embeddings for geometric manifold learning: with application to shapes and graphs. Defended on December 6, 2023 in front of Stephan Huckemann, Ian Dryden, Aasa Feragen, Jean Gallier and Alice Barbara Tumpach. pdf
Papers
Elodie Maignant, Tim Conrad, Christoph von Tycowicz. VeloTree: Inferring single-cell trajectories from RNA velocity fields with varifold distances. pdf
Elodie Maignant, Xavier Pennec, Alain Trouvé, Anna Calissano. Barycentric subspace analysis of network-valued data. pdf
Elodie Maignant, Tim Conrad, Christoph von Tycowicz. Tree inference with varifold distances. Geometric Science of Information: 7th International Conference, GSI’25. Springer International Publishing (2025). pdf
Elodie Maignant, Alain Trouvé, Xavier Pennec. Riemannian locally linear embedding with application to Kendall shape spaces. Geometric Science of Information: 6th International Conference, GSI’23. Springer International Publishing (2023). pdf
Anna Calissano, Elodie Maignant, Xavier Pennec. Towards quotient barycentric subspaces. Geometric Science of Information: 6th International Conference, GSI’23. Springer International Publishing (2023). pdf
Nina Miolane, et al. ICLR 2021 challenge for computational geometry & topology: Design and results. pdf
Nicolas Guigui, Elodie Maignant, Alain Trouvé, Xavier Pennec. Parallel Transport on Kendall Shape Spaces. Geometric Science of Information: 5th International Conference, GSI’21. Springer International Publishing (2021). pdf
Maxim Stolyarchuk, Julie Ledoux, Elodie Maignant, Alain Trouvé, Luba Tchertanov. Identification of the Primary Factors Determining the Specificity of the human VKORC1 Recognition by Thioredoxin-fold Proteins. International Journal of Molecular Sciences 22.2 (2021): 802. pdf
Philipp Harms, Elodie Maignant, Stefan Schlager. Approximation of Riemannian Distances and Applications to Distance-Based Learning on Manifolds. pdf
Talks
June 2026 – Varifold metrics for spatial networks. Math in Aquitaine: A workshop centered around Geometry, Shapes and PDEs. Bergerac, France
June 2026 – Inferring single-cell trajectories from RNA velocity fields with varifold distances. Curves and Surfaces 2026. Saint-Malo, France
December 2025 – Trajectory inference with varifold distances. CFE-CMStatistics. London, UK
October 2025 – Tree inference with varifold distances. 6th International Conference on Geometric Science of Information. Saint-Malo, France
July 2025 – RNA velocity fields and tree inference. Math in Umbria: A workshop centered around Geometry, Shapes and PDEs. Città di Castello, Italy.
February 2025 – Geometry of single-cell trajectories. Infinite-dimensional Geometry: Theory and Applications. ESI, Austria.
August 2024 – Barycentric subspace analysis of networks. COMPSTAT 2024. Giessen, Germany.
August 2024 – RNA velocity fields. Math in Maine: A workshop centered around Geometry, Shapes and PDEs. Andover, USA.
June 2024 – Barycentric subspace analysis of networks. POPNets Workshop. Copenhagen, Denmark
May 2024 – Barycentric subspace analysis of networks. Geometric Sciences in Action: from Geometric Statistics to Shape Analysis. CIRM, France
January 2024 – Barycentric subspace analysis of a set of graphs. Workshop on Mathematics of Small Data Analysis. Berlin, Germany
December 2023 – Intrinsic methods for manifold-valued data. Seminar on Shape Analysis. Paris, France
November 2023 – Barycentric subspace analysis of sets of graphs. Workshop on Dimension Reduction for Learning and Visualization. Lyon, France
August 2023 – Riemannian locally linear embedding with application to Kendall shape spaces. 5th International Conference on Geometric Science of Information. Saint-Malo, France
August 2023 – Towards quotient barycentric subspaces. 5th International Conference on Geometric Science of Information. Saint-Malo, France
August 2023 – Barycentric geometry on manifolds and application to non-Euclidean dimensionality reduction. Seminar of the Statistical Learning Theory Lab. Seoul National University, South Korea.
July 2023 – Geodesics of orbit spaces, affine mappings of simple manifolds and some related questions in barycentric geometry. Math in the Mine: A workshop centered around Geometry, Shapes and PDEs. Tende, France.
September 2022 – Looking for invariance in Locally Linear Embedding. Research School on Geometry and Statistics in Data Sciences. Cargese, France.
June 2022 – Looking for invariance in Locally Linear Embedding. 10th International Conference on Curves and Surfaces. Arcachon, France.
January 2022 – Introducing a generalisation of Locally Linear Embedding to manifold-valued data. Groupement de Travail en Traitement d’Images. ENS Paris-Saclay, France
November 2021 – A generalisation of Locally Linear Embedding to manifold-valued data. PhD Seminar in Analysis, LMO. Université Paris-Saclay (Orsay), France
October 2021 – A generalisation of Locally Linear Embedding to manifold-valued data. Congrès des Jeunes Chercheuses et Chercheurs en Mathématiques Appliquées. École Polytechnique, France.
August 2021 – Visualisation of Kendall shape spaces with Geomstats. Graduate Student Conference on Geometry and Topology meet Data Analysis and Machine Learning..
July 2021 – Parallel transport on Kendall shape spaces. 5th International Conference on Geometric Science of Information. Paris, France