Master’s thesis
My thesis “Gradient flows in the geometry of the Sinkhorn divergence” was made at Bocconi university under the supervision of Hugo Lavenant. It led to the article “Gradient Flows of Potential Energies in the Geometry of Sinkhorn Divergences”, see Research.
MSc projects
Below are some of the research project reports and presentations I have made during the MVA (2023-2024) and my Master’s year 1 at Télécom Paris (2022-2023).
Report: Neural Optimal Transport, Slides (with Antoine Olivier)
Report: Variational Learning of Inducing Variables in Sparse Gaussian Processes (with Lucas Haubert)
Presentation: Riemanniann Manifold Hamiltonian Monte Carlo (with Samuel Bazaz Jazayeri)
Report: Generalized Sliced Distances for Probability Distributions, Slides
Presentation: FibeRed: Fiberwise Dimensionality Reduction of Topologically Complex Data with Vector Bundles (with Chen Yiyuan, Mathis Reymond)
Report: Sparse representation of multivariate extremes with applications to anomaly detection, Slides
Report: Mean Curvature Motion of Point Cloud Varifolds, Slides