123 citations · 527 across the 30 of their papers we have counts for
5 papers · 1 filter
Parameter recovery in two-component contamination mixtures: the strategy
Sébastien Gadat, Jonas Kahn, Clément Marteau +1
In this paper, we consider a parametric density contamination model. We work with a sample of i.i.d. data with a common density, , whe…
Optimal rates for finite mixture estimation
Philippe Heinrich, Jonas Kahn
We study the rates of estimation of finite mixing distributions, that is, the parameters of the mixture. We prove that under some regularity and strong identifiability conditions,…
Minimax rates for finite mixture estimation
Philippe Heinrich, Jonas Kahn
We prove that under some regularity and strong identifiability conditions, around a mixing distribution with components, the optimal local minimax rate of estimation of a mix…
Travelling salesman-based compressive sampling
Nicolas Chauffert, Philippe Ciuiu, Jonas Kahn +1
Compressed sensing theory indicates that selecting a few measurements independently at random is a near optimal strategy to sense sparse or compressible signals. This is infeasible…
Model selection for quantum homodyne tomography
Jonas Kahn
This paper deals with a non-parametric problem coming from physics, namely quantum tomography. That consists in determining the quantum state of a mode of light through a homodyne…