Oracle Inequalities and Minimax Rates for Nonlocal Means and Related Adaptive Kernel-Based Methods

DOI10.1137/110859403zbMath1318.62126arXiv1112.4434OpenAlexW2963518736MaRDI QIDQ4902149

Ery Arias-Castro, Joseph Salmon, Rebecca Willett

Publication date: 25 January 2013

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4434

zbMATH Keywords

kernel smoothinglocal polynomial regressionminimax boundsnonlocal meanspatch-based methodstexturesoracle boundscartoon modelYaroslavsky's filter

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20) Image analysis in multivariate analysis (62H35)

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