Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Numerical Verification Framework for Differential Privacy in
  Estimation   This work proposes an algorithmic method to verify differential privacy for
estimation mechanisms with performance guarantees. Differential privacy makes
it hard to distinguish outputs of a mechanism produced by adjacent inputs.
While obtaining theoretical conditions that guarantee differential privacy may
be possible, evaluating these conditions in practice can be hard. This is
especially true for estimation mechanisms that take values in continuous
spaces, as this requires checking for an infinite set of inequalities. Instead,
our verification approach consists of testing the differential privacy
condition for a suitably chosen finite collection of events at the expense of
some information loss. More precisely, our data-driven, test framework for
continuous range mechanisms first finds a highly-likely, compact event set, as
well as a partition of this event, and then evaluates differential privacy wrt
this partition. This results into a type of differential privacy with high
confidence, which we are able to quantify precisely. This approach is then used
to evaluate the differential-privacy properties of the recently proposed $W_2$
Moving Horizon Estimator. We confirm its properties, while comparing its
performance with alternative approaches in simulation.

14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ