Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic Theory to Differential Privacy   The purpose of this paper is to develop a mathematical analysis theory to
solve differential privacy problems. The heart of our approaches is to use
analytic tools to characterize the correlations among the outputs of different
datasets, which makes it feasible to represent a differentially private
mechanism with minimal number of parameters. These results are then used to
construct differentially private mechanisms analytically. Furthermore, our
approaches are universal to almost all query functions. We believe that the
approaches and results of this paper are indispensable complements to the
current studies of differential privacy that are ruled by the ad hoc and
algorithmic approaches.

29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas