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- W2107379425 abstract "While robust parameter estimation has been well studied in parametric density estimation, there has been little investigation into robust density estimation in the nonparametric setting. We present a robust version of the popular kernel density estimator (KDE). As with other estimators, a robust version of the KDE is useful since sample contamination is a common issue with datasets. What means for a nonparametric density estimate is not straightforward and is a topic we explore in this paper. To construct a robust KDE we scale the traditional KDE and project it to its nearest weighted KDE in the L2 norm. This yields a scaled and projected KDE (SPKDE). Because the squared L2 norm penalizes point-wise errors superlinearly this causes the weighted KDE to allocate more weight to high density regions. We demonstrate the robustness of the SPKDE with numerical experiments and a consistency result which shows that asymptotically the SPKDE recovers the uncontaminated density under sufficient conditions on the contamination." @default.
- W2107379425 created "2016-06-24" @default.
- W2107379425 creator A5024149142 @default.
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- W2107379425 date "2014-12-08" @default.
- W2107379425 modified "2023-10-18" @default.
- W2107379425 title "Robust Kernel Density Estimation by Scaling and Projection in Hilbert Space" @default.
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