Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Private Summation in the Multi-Message Shuffle Model   The shuffle model of differential privacy (Erlingsson et al. SODA 2019; Cheu
et al. EUROCRYPT 2019) and its close relative encode-shuffle-analyze (Bittau et
al. SOSP 2017) provide a fertile middle ground between the well-known local and
central models. Similarly to the local model, the shuffle model assumes an
untrusted data collector who receives privatized messages from users, but in
this case a secure shuffler is used to transmit messages from users to the
collector in a way that hides which messages came from which user. An
interesting feature of the shuffle model is that increasing the amount of
messages sent by each user can lead to protocols with accuracies comparable to
the ones achievable in the central model. In particular, for the problem of
privately computing the sum of $n$ bounded real values held by $n$ different
users, Cheu et al. showed that $O(\sqrt{n})$ messages per user suffice to
achieve $O(1)$ error (the optimal rate in the central model), while Balle et
al. (CRYPTO 2019) recently showed that a single message per user leads to
$\Theta(n^{1/3})$ MSE (mean squared error), a rate strictly in-between what is
achievable in the local and central models.
  This paper introduces two new protocols for summation in the shuffle model
with improved accuracy and communication trade-offs. Our first contribution is
a recursive construction based on the protocol from Balle et al. mentioned
above, providing $\mathrm{poly}(\log \log n)$ error with $O(\log \log n)$
messages per user. The second contribution is a protocol with $O(1)$ error and
$O(1)$ messages per user based on a novel analysis of the reduction from secure
summation to shuffling introduced by Ishai et al. (FOCS 2006) (the original
reduction required $O(\log n)$ messages per user).

6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph