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Some novel aspects of the positive linear observer problem: Differential privacy and optimal l1 sensitivity
Journal of the Franklin Institute ( IF 3.7 ) Pub Date : 2020-10-10 , DOI: 10.1016/j.jfranklin.2020.10.004
Aisling McGlinchey , Oliver Mason

We present several results concerning the l1 sensitivity, a crucial parameter for differential privacy, of a positive linear observer. Specifically, for compartmental systems we derive explicit analytic expressions for positive observers that minimize a bound for the l1 sensitivity. Results are given for single-output systems and classes of multiple-output systems. For single-output general positive systems, we characterize the optimal l1 sensitivity bound of a positive observer with given convergence rate. We also make some initial observations on sensitivity for more general classes of positive observers.



中文翻译:

正线性观测器问题的一些新颖方面:差分隐私和最佳l 1灵敏度

我们提出了几个有关正线性观测器的l 1灵敏度(差分隐私的关键参数)的几个结果。具体来说,对于隔间系统,我们为积极的观察者导出了明确的分析表达式,该表达式最小化了对l 1灵敏度的限制。给出了单输出系统和多输出系统类别的结果。对于单输出的一般正系统,我们刻画了给定收敛速度下正观测器的最佳l 1灵敏度范围。我们还对敏感性更强的普通观察者类别进行了初步观察。

更新日期:2020-11-15
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