DiPCoDing: A Differentially Private Approach for Correlated Data with Clustering

Differential privacy is a model which gives strong privacy guarantees. It was designed to make difficult to distinguish individuals' records on statistical databases while maximizing data utility. Differential privacy approaches usually assume that database records are sampled independently, i.e., each record of this database is independent of the rest. However, this assumption is not always true in the context of real-world applications. In this paper we propose DiPCoDing, a novel approach to calculate the correlation between records in statistical databases using clusterization. For this matter, we have considered Density-Based Spatial Clustering of Applications with Noise (DBSCAN) and Gaussian Mixture Model (GMM). Our method aims to group similar records, which are more likely to be correlated, to reduce the sensitivity of differential privacy and consequently the amount of noise added to the query answer, increasing data utility while providing privacy for correlated data. The experimental results of our approach showed that relative errors and noisy answers are significantly lower than those from existing works.

[1]  Hans-Peter Kriegel,et al.  A Density-Based Algorithm for Discovering Clusters in Large Spatial Databases with Noise , 1996, KDD.

[2]  Josep Domingo-Ferrer,et al.  Utility-preserving differentially private data releases via individual ranking microaggregation , 2015, Inf. Fusion.

[3]  Cynthia Dwork,et al.  Differential Privacy , 2006, ICALP.

[4]  H. Akaike A new look at the statistical model identification , 1974 .

[5]  Svetlozar T. Rachev,et al.  Concepts of Probability Theory , 2012 .

[6]  L. E. Clarke,et al.  Concepts of Probability Theory , 1980 .

[7]  Tianqing Zhu,et al.  Correlated Differential Privacy: Hiding Information in Non-IID Data Set , 2015, IEEE Transactions on Information Forensics and Security.

[8]  Ashwin Machanavajjhala,et al.  Pufferfish , 2014, ACM Trans. Database Syst..

[9]  Josep Domingo-Ferrer,et al.  Enhancing data utility in differential privacy via microaggregation-based k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docume , 2014, The VLDB Journal.

[10]  Philip S. Yu,et al.  Correlated network data publication via differential privacy , 2013, The VLDB Journal.

[11]  Cynthia Dwork,et al.  Differential Privacy: A Survey of Results , 2008, TAMC.

[12]  Alex Thomo,et al.  Differential Privacy in Practice , 2012, Secure Data Management.

[13]  Domingo-FerrerJosep,et al.  Enhancing data utility in differential privacy via microaggregation-based k-anonymity , 2014, VLDB 2014.

[14]  Michael I. Jordan,et al.  On Convergence Properties of the EM Algorithm for Gaussian Mixtures , 1996, Neural Computation.

[15]  Josep Domingo-Ferrer,et al.  Database Anonymization: Privacy Models, Data Utility, and Microaggregation-based Inter-model Connections , 2016, Database Anonymization.

[16]  P. X. Song,et al.  Correlated data analysis : modeling, analytics, and applications , 2007 .

[17]  Aaron Roth,et al.  The Algorithmic Foundations of Differential Privacy , 2014, Found. Trends Theor. Comput. Sci..

[18]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[19]  Ashwin Machanavajjhala,et al.  No free lunch in data privacy , 2011, SIGMOD '11.