Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive optimal regularization of the linear ill posed integral
  equations   We construct an adaptive asymptotically optimal in order in the $ L(2) $
sense a solution (estimation) of an integral linear equation of a first kind
and energy of this solution with the confidence region building, also adaptive.

7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph