59 citations · 443 across the 46 of their papers we have counts for
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math.ST2011
Oracle inequalities and minimax rates for non-local means and related adaptive kernel-based methods
Ery Arias-Castro, Joseph Salmon, Rebecca Willett
This paper describes a novel theoretical characterization of the performance of non-local means (NLM) for noise removal. NLM has proven effective in a variety of empirical studies,…
math.ST2011★ 37 cited
Sharp Oracle Inequalities for Aggregation of Affine Estimators
Arnak Dalalyan, Joseph Salmon
We consider the problem of combining a (possibly uncountably infinite) set of affine estimators in non-parametric regression model with heteroscedastic Gaussian noise. Focusing on…