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. tel-04452790v2

Papers

• 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). hal-04122754

• Anna Calissano, Elodie Maignant, Xavier Pennec. Towards quotient barycentric subspaces. Geometric Science of Information: 6th International Conference, GSI’23. Springer International Publishing (2023). hal-04162647

• Nina Miolane, et al. ICLR 2021 challenge for computational geometry & topology: Design and results. arXiv:2108.09810

• 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). arXiv:2103.04611

• 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. hal-03042382

• Philipp Harms, Elodie Maignant, Stefan Schlager. Approximation of Riemannian Distances and Applications to Distance-Based Learning on Manifolds. arXiv:1904.11860

• Philipp Harms, Elodie Maignant. Approximations of distances and kernels on shape space. Math in the Black Forest – Workshop on New Directions in Shape Analysis (2018). arXiv:1811.01370

Talks

• August 2024 – Barycentric subspace analysis of networks. COMPSTAT 2024. Giessen, Germany.

• August 2024 – Single-Cell velocity fields. Workshop on Shape Analysis: Math in Maine. 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. Workshop on Shape Analysis: Math in the Mine. 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