Spike detection from inaccurate samplings
Statistics Theory
2014-02-27 v3 Statistics Theory
Abstract
This article investigates the support detection problem using the LASSO estimator in the space of measures. More precisely, we study the recovery of a discrete measure (spike train) from few noisy observations (Fourier samples, moments...) using an -regularization procedure. In particular, we provide an explicit quantitative localization of the spikes.
Cite
@article{arxiv.1301.5873,
title = {Spike detection from inaccurate samplings},
author = {Jean-Marc Azais and Yohann De Castro and Fabrice Gamboa},
journal= {arXiv preprint arXiv:1301.5873},
year = {2014}
}
Comments
Revised version, minor changes, 16pages