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- W2801029166 abstract "Proximal methods are an important tool in signal processing applications, where many problems can be characterized by the minimization of an expression involving a smooth fitting term and a convex regularization term - for example the classic $ell_{1}$ -Lasso. Such problems can be solved using the relevant proximal operator. Here we consider the use of proximal operators for the $ell_{p}$ -quasinorm where $0leq pleq 1$ . Rather than seek a closed form solution, we develop an iterative algorithm using a Majorization-Minimization procedure which results in an inexact operator. Experiments on image denoising show that for $pleq 1$ the algorithm is effective in the high-noise scenario, outperforming the Lasso despite the inexactness of the proximal step." @default.
- W2801029166 created "2018-05-17" @default.
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- W2801029166 date "2018-04-01" @default.
- W2801029166 modified "2023-10-14" @default.
- W2801029166 title "Inexact Proximal Operators for <tex>$ell_{p}$</tex>-Quasinorm Minimization" @default.
- W2801029166 doi "https://doi.org/10.1109/icassp.2018.8462524" @default.
- W2801029166 hasPublicationYear "2018" @default.
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