Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non asymptotic minimax rates of testing in signal detection with
  heterogeneous variances   The aim of this paper is to establish non-asymptotic minimax rates of testing
for goodness-of-fit hypotheses in a heteroscedastic setting. More precisely, we
deal with sequences $(Y_j)_{j\in J}$ of independent Gaussian random variables,
having mean $(\theta_j)_{j\in J}$ and variance $(\sigma_j)_{j\in J}$. The set
$J$ will be either finite or countable. In particular, such a model covers the
inverse problem setting where few results in test theory have been obtained.
The rates of testing are obtained with respect to $l_2$ and $l_{\infty}$ norms,
without assumption on $(\sigma_j)_{j\in J}$ and on several functions spaces.
Our point of view is completely non-asymptotic.

29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph