4 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 attra…
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…