Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Distinguishers for Negation-Limited Weak Pseudorandom Functions   We show how to distinguish circuits with $\log k$ negations (a.k.a
$k$-monotone functions) from uniformly random functions in
$\exp\left(\tilde{O}\left(n^{1/3}k^{2/3}\right)\right)$ time using random
samples. The previous best distinguisher, due to the learning algorithm by
Blais, Cannone, Oliveira, Servedio, and Tan (RANDOM'15), requires
$\exp\big(\tilde{O}(n^{1/2} k)\big)$ time.
  Our distinguishers are based on Fourier analysis on \emph{slices of the
Boolean cube}. We show that some "middle" slices of negation-limited circuits
have strong low-degree Fourier concentration and then we apply a variation of
the classic Linial, Mansour, and Nisan "Low-Degree algorithm" (JACM'93) on
slices. Our techniques also lead to a slightly improved weak learner for
negation limited circuits under the uniform distribution.

18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
2
The categories of this paper are: math