Title
Approximation Bounds for Minimum Information Loss Microaggregation
Abstract
The NP-hard microaggregation problem seeks a partition of data points into groups of minimum specified size k, so as to minimize the sum of the squared euclidean distances of every point to its group's centroid. One recent heuristic provides an {\rm O}(k^3) guarantee for this objective function and an {\rm O}(k^2) guarantee for a version of the problem that seeks to minimize the sum of the distances of the points to its group's centroid. This paper establishes approximation bounds for another microaggregation heuristic, providing better approximation guarantees of {\rm O}(k^2) for the squared distance measure and {\rm O}(k) for the distance measure.
Year
DOI
Venue
2009
10.1109/TKDE.2009.78
Knowledge and Data Engineering, IEEE Transactions
Keywords
Field
DocType
computational complexity,data privacy,security of data,NP-hard microaggregation problem,approximation bounds,euclidean distances,group centroid,minimum information loss microaggregation,squared distance measure,Data security,approximation algorithms,disclosure control,graph partitioning,information loss.,k-anonymity,microaggregation,microdata protection
Graph theory,Discrete mathematics,Data mining,Approximation algorithm,Heuristic,Combinatorics,Square (algebra),Graph partition,Partition (number theory),Mathematics,Centroid,Computational complexity theory
Journal
Volume
Issue
ISSN
21
11
1041-4347
Citations 
PageRank 
References 
7
0.51
18
Authors
2
Name
Order
Citations
PageRank
Michael Laszlo121410.76
Sumitra Mukherjee231131.75