Design of Stochastic Quantizers for Privacy Preservation

arXiv:2403.03048v1 Announce Type: cross
Abstract: In this paper, we examine the role of stochastic quantizers for privacy preservation. We first employ a static stochastic quantizer and investigate its corresponding privacy-preserving properties. Specifically, we demonstrate that a sufficiently large quantization step guarantees $(0, \delta)$ differential privacy. Additionally, the degradation of control performance caused by quantization is evaluated as the tracking error of output regulation. These two analyses characterize the trade-off between privacy and control performance, determined by the quantization step. This …

arxiv control cs.cr cs.sy delta design differential privacy eess.sy large performance preservation privacy role