Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anaconda: A Non-Adaptive Conditional Sampling Algorithm for Distribution
  Testing   We investigate distribution testing with access to non-adaptive conditional
samples. In the conditional sampling model, the algorithm is given the
following access to a distribution: it submits a query set $S$ to an oracle,
which returns a sample from the distribution conditioned on being from $S$. In
the non-adaptive setting, all query sets must be specified in advance of
viewing the outcomes.
  Our main result is the first polylogarithmic-query algorithm for equivalence
testing, deciding whether two unknown distributions are equal to or far from
each other. This is an exponential improvement over the previous best upper
bound, and demonstrates that the complexity of the problem in this model is
intermediate to the the complexity of the problem in the standard sampling
model and the adaptive conditional sampling model. We also significantly
improve the sample complexity for the easier problems of uniformity and
identity testing. For the former, our algorithm requires only $\tilde O(\log
n)$ queries, matching the information-theoretic lower bound up to a $O(\log
\log n)$-factor.
  Our algorithm works by reducing the problem from $\ell_1$-testing to
$\ell_\infty$-testing, which enjoys a much cheaper sample complexity.
Necessitated by the limited power of the non-adaptive model, our algorithm is
very simple to state. However, there are significant challenges in the
analysis, due to the complex structure of how two arbitrary distributions may
differ.

34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex