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should not substantially increase as a result of +> participating in a statistical database. This is captured by differential +> privacy. + +## Basic setting +- Private data: set of records from individuals + - Each individual: one record + - Example: set of medical records +- Private query: function from database to output + - Randomized: adds noise to protect privacy ## Basic definition +A query $Q$ is **$(\varepsilon, \delta)$-differentially private** if for every two +databases $db, db'$ that differ in **one individual's record**, and for every +subset $S$ of outputs, we have: + +$$ +\Pr[ Q(db) \in S ] \leq e^\varepsilon \cdot \Pr[ Q(db') \in S ] + \delta +$$

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