Constructing confidence sets for the matrix completion problem
Statistics Theory
2017-04-11 v1 Statistics Theory
Abstract
In the present note we consider the problem of constructing honest and adaptive confidence sets for the matrix completion problem. For the Bernoulli model with known variance of the noise we provide a realizable method for constructing confidence sets that adapt to the unknown rank of the true matrix.
Cite
@article{arxiv.1704.02760,
title = {Constructing confidence sets for the matrix completion problem},
author = {Alexandra Carpentier and Olga Klopp and Matthias Löffler},
journal= {arXiv preprint arXiv:1704.02760},
year = {2017}
}