Sie befinden Sich nicht im Netzwerk der Universität Paderborn. Der Zugriff auf elektronische Ressourcen ist gegebenenfalls nur via VPN oder Shibboleth (DFN-AAI) möglich. mehr Informationen...
2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2011, p.1952-1955
Ort / Verlag
IEEE
Erscheinungsjahr
2011
Quelle
IEEE Electronic Library Online
Beschreibungen/Notizen
The recent upsurge of research toward compressive sampling and parsimonious signal representations hinges on signals being sparse, either naturally, or, after projecting them on a proper basis. The present paper introduces a neat link between sparsity and a fundamental aspect of statistical inference, namely that of robustness against outliers, even when the signals involved are not sparse. It is argued that controlling sparsity of model residuals leads to statistical learning algorithms that are computationally affordable and universally robust to outlier models. Analysis, comparisons, and corroborating simulations focus on robustifying linear regression, but succinct overview of other areas is provided to highlight universality of the novel framework.