Abstract
Differential privacy is a recent notion, and while it is nice conceptually it has been difficult to apply in practice. The parameters of differential privacy have an intuitive theoretical interpretation, but the implications and impacts on the risk of disclosure in practice have not yet been studied, and choosing appropriate values for them is non-trivial. Although the privacy parameter e in differential privacy is used to quantify the privacy risk posed by releasing statistics computed on sensitive data, e is not an absolute measure of privacy but rather a relative measure. In effect, even for the same value of e, the privacy guarantees enforced by differential privacy are different based on the domain of attribute in question and the query supported. We consider the probability of identifying any particular individual as being in the database, and demonstrate the challenge of setting the proper value of e given the goal of protecting individuals in the database with some fixed probability.
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