Boosting is a general method for improving the accuracy of learning algorithms. We use boosting to construct improved privacy-preserving synopses of an input database. These are data structures that yield, for a given set Q of queries over an input database, reasonably accurate estimates of the responses to every query in Q, even when the number of queries is much larger than the number of rows in the database. Given a base synopsis generator that takes a distribution on Q and produces a \u201cweak\u201d synopsis that yields \u201cgood\u201d answers for a majority of the weight in Q, our Boosting for Queries algorithm obtains a synopsis that is good for all of Q. We ensure privacy for the rows of the database, but the boosting is performed on the queries. We also provide the \ufb01rst synopsis generators for arbitrary sets of arbitrary lowsensitivity queries, i.e., queries whose answers do not vary much under the addition or deletion of a single row. In the execution of our algorithm certain tasks, each incurring some privacy loss, are performed many times. To analyze the cumulative privacy loss, we obtain an O(\u03b52) bound on the expected privacy loss from a single \u03b5-differentially private mechanism. Combining this with evolution of con\ufb01dence arguments from the literature, we get stronger bounds on the expected cumulative privacy loss due to multiple mechanisms, each of which provides \u03b5-differential privacy or one of its relaxations, and each of which operates on (potentially) different, adaptively chosen, databases.<\/p>\n","protected":false},"excerpt":{"rendered":"
Boosting is a general method for improving the accuracy of learning algorithms. We use boosting to construct improved privacy-preserving synopses of an input database. 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