Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Oracle inequalities and minimax rates for non-local means and related
  adaptive kernel-based methods   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, but little is understood fundamentally about how
it performs relative to classical methods based on wavelets or how various
parameters (e.g., patch size) should be chosen. For cartoon images and images
which may contain thin features and regular textures, the error decay rates of
NLM are derived and compared with those of linear filtering, oracle estimators,
variable-bandwidth kernel methods, Yaroslavsky's filter and wavelet
thresholding estimators. The trade-off between global and local search for
matching patches is examined, and the bias reduction associated with the local
polynomial regression version of NLM is analyzed. The theoretical results are
validated via simulations for 2D images corrupted by additive white Gaussian
noise.

17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
9
The categories of this paper are: nlin