Online group-sparse estimation using the covariance fitting criterion

Ted Kronvall, Stefan Ingi Adalbjornsson, Santhosh Nadig, Andreas Jakobsson

Published: 2017, Last Modified: 27 Feb 2026EUSIPCO 2017EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: In this paper, we present a time-recursive implementation of a recent hyperparameter-free group-sparse estimation technique. This is achieved by reformulating the original method, termed group-SPICE, as a square-root group-LASSO with a suitable regularization level, for which a time-recursive implementation is derived. Using a proximal gradient step for lowering the computational cost, the proposed method may effectively cope with data sequences consisting of both stationary and non-stationary signals, such as transients, and/or amplitude modulated signals. Numerical examples illustrates the efficacy of the proposed method for both coherent Gaussian dictionaries and for the multi-pitch estimation problem.
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