Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimation of expected value of function of i.i.d. Bernoulli random
  variables   We estimate the expected value of certain function
$f:\{-1,1\}^{n}\to\mathbb{R}$. For example, with computer assistance, we show
that if $\Delta$ is the Laplacian of the Cayley graph of
$(\mathbb{Z}/15\mathbb{Z})\times(\mathbb{Z}/15\mathbb{Z})$ and $D$ is a
diagonal $225\times 225$ matrix with entries chosen independently and uniformly
from $\{-1,1\}$, then the expected value of the normalized trace of
$(2I+D-\Delta)^{-1}$ is between $0.2006$ and $0.2030$.

20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat