Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Monte Carlo Methods for $L^2$-Approximation   We construct Monte Carlo methods for the $L^2$-approximation in Hilbert
spaces of multivariate functions sampling no more than $n$ function values of
the target function. Their errors catch up with the rate of convergence and the
preasymptotic behavior of the error of any algorithm sampling $n$ pieces of
arbitrary linear information, including function values.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas