Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Certified Robustness via Randomized Smoothing over Multiplicative
  Parameters   Currently the most popular method of providing robustness certificates is
randomized smoothing where an input is smoothed via some probability
distribution. We propose a novel approach to randomized smoothing over
multiplicative parameters. Using this method we construct certifiably robust
classifiers with respect to a gamma correction perturbation and compare the
result with classifiers obtained via other smoothing distributions (Gaussian,
Laplace, uniform). The experiments show that asymmetrical Rayleigh distribution
allows to obtain better certificates for some values of perturbation
parameters. To the best of our knowledge it is the first work concerning
certified robustness against the multiplicative gamma correction transformation
and the first to study effects of asymmetrical distributions in randomized
smoothing.

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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ