In preparation
Gauss-Markov type theorems for non-linear data assimilation and inverse problems
Posterior computation guarantees for data assimilation with the 2D Navier-Stokes equations, with Richard Nickl
On the characterization property of spatial quantiles and depth in finite and infinite dimension, with Alberto González-Sanz and Davy Paindaveine
Regularized geometric quantiles, with Gilles Stupfler
Scientific publications
[7] Data assimilation with the 2D Navier-Stokes equations: Optimal Gaussian asymptotics for the posterior measure, with Richard Nickl (2025, 41 pp.)
Submitted
[6] Existence and breakdown analysis of M-quantiles in general Hilbert spaces, with Davy Paindaveine (2025, 27 pp.)
Submitted (available on request)
[5] Multivariate quantiles: geometric and measure-transportation-based contours, with Marc Hallin (2024, 18 pp.)
in: Kreinovich, V., Yamaka, W., Leurcharusmee, S. (eds) Applications of Optimal Transport to Economics and Related Topics. Studies in Systems, Decision and Control, vol 556. Springer, Cham.
[4] On the robustness of spatial quantiles, with Davy Paindaveine (2025, 35 pp.)
Annales de l'Institut Henri Poincaré, to appear
[3] PDE characterization of geometric distribution functions and quantiles, (2025, 28 pp.) Supplement (36 pp.)
Bernoulli 31 (3), 2077-2104
[2] Spatial quantiles on the hypersphere, with Davy Paindaveine (2023, 25 pp.) Supplement (38 pp.)
Annals of Statistics 51 (5), 2221-2245
[1] Multivariate rho-quantiles: a spatial approach, with Davy Paindaveine (2022, 23 pp.) Supplement (53 pp.)
Bernoulli 28 (3), 1912-1934