66 citations · 66 across the 1 of their papers we have counts for
2 papers
math.ST2018
Estimating linear functionals of a sparse family of Poisson means
Olivier Collier, Arnak Dalalyan
Assume that we observe a sample of size n composed of p-dimensional signals, each signal having independent entries drawn from a scaled Poisson distribution with an unknown intensi…
math.ST2015★ 66 cited
Minimax estimation of linear and quadratic functionals on sparsity classes
Olivier Collier, Laëtitia Comminges, Alexandre B. Tsybakov
For the Gaussian sequence model, we obtain non-asymptotic minimax rates of estimation of the linear, quadratic and the L2-norm functionals on classes of sparse vectors and construc…