An accurate system-wide anonymity metric for probabilistic attacks

  • Authors:
  • Rajiv Bagai;Huabo Lu;Rong Li;Bin Tang

  • Affiliations:
  • Department of Electrical Engineering and Computer Science, Wichita State University, Wichita, KS;Department of Electrical Engineering and Computer Science, Wichita State University, Wichita, KS;Department of Electrical Engineering and Computer Science, Wichita State University, Wichita, KS;Department of Electrical Engineering and Computer Science, Wichita State University, Wichita, KS

  • Venue:
  • PETS'11 Proceedings of the 11th international conference on Privacy enhancing technologies
  • Year:
  • 2011

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Abstract

We give a critical analysis of the system-wide anonymity metric of Edman et al. [3], which is based on the permanent value of a doubly-stochastic matrix. By providing an intuitive understanding of the permanent of such a matrix, we show that a metric that looks no further than this composite value is at best a rough indicator of anonymity. We identify situations where its inaccuracy is acute, and reveal a better anonymity indicator. Also, by constructing an information-preserving embedding of a smaller class of attacks into the wider class for which this metric was proposed, we show that this metric fails to possess desirable generalization properties. Finally, we present a new anonymity metric that does not exhibit these shortcomings. Our new metric is accurate as well as general.