Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing Poisson Binomial Distributions   A Poisson Binomial distribution over $n$ variables is the distribution of the
sum of $n$ independent Bernoullis. We provide a sample near-optimal algorithm
for testing whether a distribution $P$ supported on $\{0,...,n\}$ to which we
have sample access is a Poisson Binomial distribution, or far from all Poisson
Binomial distributions. The sample complexity of our algorithm is $O(n^{1/4})$
to which we provide a matching lower bound. We note that our sample complexity
improves quadratically upon that of the naive "learn followed by tolerant-test"
approach, while instance optimal identity testing [VV14] is not applicable
since we are looking to simultaneously test against a whole family of
distributions.

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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: physics