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arxiv: 1301.5873 · v3 · pith:V3DXJ4ZVnew · submitted 2013-01-24 · 🧮 math.ST · stat.TH

Spike detection from inaccurate samplings

classification 🧮 math.ST stat.TH
keywords detectionspikearticlediscreteestimatorexplicitfourierinaccurate
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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 $\ell_{1}$-regularization procedure. In particular, we provide an explicit quantitative localization of the spikes.

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