1 citations · 2 across the 6 of their papers we have counts for
6 papers
Spatial depth characterizes probability measures
Alberto González-Sanz, Dimitri Konen
We solve two open problems about spatial (or geometric) quantiles and depth. First we show that in infinite dimension, the spatial distribution function and the associated spatial…
On statistical inference for non-linear dynamical systems evolving in their global attractor
Dimitri Konen, Richard Nickl
We consider a two-dimensional periodic reaction-diffusion system under natural conditions on the reaction function and with initial condition . We show that on the global attrac…
Regularized geometric quantiles and universal linear distribution functionals
Dimitri Konen, Gilles Stupfler
Geometric quantiles are popular location functionals to build rank-based statistical procedures in multivariate settings. They are obtained through the minimization of a non-smooth…
Inverting the Fisher information operator in non-linear models
Dimitri Konen
We consider non-linear regression models corrupted by generic noise when the regression functions form a non-linear subspace of L^2, relevant in non-linear PDE inverse problems and…
Multivariate Quantiles: Geometric and Measure-Transportation-Based Contours
Marc Hallin, Dimitri Konen
Quantiles are a fundamental concept in probability and theoretical statistics and a daily tool in their applications. While the univariate concept of quantiles is quite clear and w…
PDE characterisation of geometric distribution functions and quantiles
Dimitri Konen
We show that in any Euclidean space, an arbitrary probability measure can be reconstructed explicitly by its geometric (or spatial) distribution function. The reconstruction takes…