15 citations · 30 across the 6 of their papers we have counts for
6 papers
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…
Remarks on the statistical study of protein-protein interaction in living cells
Ph. Heinrich, J. Kahn, L. Héliot +1
In this note, we focus on a selection model problem: a mono-exponential model versus a bi-exponential one. This is done in the biological context of living cells, where small data…
Coexistence probability in the last passage percolation model is
David Coupier, Philippe Heinrich
A competition model on between three clusters and governed by directed last passage percolation is considered. We prove that coexistence, i.e. the three clusters are simul…
Level sets estimation and Vorob'ev expectation of random compact sets
Philippe Heinrich, Radu Stefan Stoica, Viet Chi Tran
The issue of a "mean shape" of a random set often arises, in particular in image analysis and pattern detection. There is no canonical definition but one possible approach is t…
Stochastic domination for the last passage percolation model
D. Coupier, P. Heinrich
A competition model on governed by directed last passage percolation is considered. A stochastic domination argument between subtrees of the last passage percola…