Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Community Preserved Social Graph Publishing with Node Differential
  Privacy   The goal of privacy-preserving social graph publishing is to protect
individual privacy while preserving data utility. Community structure, which is
an important global pattern of nodes, is a crucial data utility as it serves as
fundamental operations for many graph analysis tasks. Yet, most existing
methods with differential privacy (DP) commonly fall in edge-DP to sacrifice
security in exchange for utility. Moreover, they reconstruct graphs from the
local feature-extraction of nodes, resulting in poor community preservation.
Motivated by this, we propose PrivCom, a strict node-DP graph publishing
algorithm to maximize the utility on the community structure while maintaining
a higher level of privacy. Specifically, to reduce the huge sensitivity, we
devise a Katz index-based private graph feature extraction method, which can
capture global graph structure features while greatly reducing the global
sensitivity via a sensitivity regulation strategy. Yet, with a fixed
sensitivity, the feature captured by Katz index, which is presented in matrix
form, requires privacy budget splits. As a result, plenty of noise is injected,
thereby mitigating global structural utility. To this end, we design a private
Oja algorithm approximating eigen-decomposition, which yields the noisy Katz
matrix via privately estimating eigenvectors and eigenvalues from extracted
low-dimensional vectors. Experimental results confirm our theoretical findings
and the efficacy of PrivCom.

25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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: atom-ph
35
The categories of this paper are: mtrl-th