Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive complexity regularization for linear inverse problems   We tackle the problem of building adaptive estimation procedures for
ill-posed inverse problems. For general regularization methods depending on
tuning parameters, we construct a penalized method that selects the optimal
smoothing sequence without prior knowledge of the regularity of the function to
be estimated. We provide for such estimators oracle inequalities and optimal
rates of convergence. This penalized approach is applied to Tikhonov
regularization and to regularization by projection.

30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics