Abstract
Linear queries can be submitted to a server containing private data. The server provides a response to the queries systematically corrupted using an additive noise to preserve the privacy of those whose data is stored on the server. The measure of privacy is inversely proportional to the trace of the Fisher information matrix. It is assumed that an adversary can inject a false bias to the responses. The measure of the security, capturing the ease of detecting the presence of the false data injection, is the sensitivity of the Kullback-Leiber divergence to the additive bias. An optimization problem for balancing privacy and security is proposed and subsequently solved. It is shown that the level of guaranteed privacy times the level of security equals a constant. Therefore, by increasing the level of privacy, the security guarantees can only be weakened and vice versa. Similar results are developed under the differential privacy framework.
Original language | English |
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Title of host publication | Proceedings of the 57th IEEE Conference on Decision and Control (CDC 2018) |
Editors | Andrew R. Teel, Magnus Egerstedt |
Place of Publication | Piscataway, NJ, USA |
Publisher | IEEE |
Pages | 7101-7106 |
ISBN (Electronic) | 978-1-5386-1395-5 |
DOIs | |
Publication status | Published - 2018 |
Event | CDC 2018: 57th IEEE Conference on Decision and Control - Miami, United States Duration: 17 Dec 2018 → 19 Dec 2018 |
Conference
Conference | CDC 2018: 57th IEEE Conference on Decision and Control |
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Country/Territory | United States |
City | Miami |
Period | 17/12/18 → 19/12/18 |