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arXiv 2008.10944eess.SYcs.SY
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正线性观测器l_2灵敏度的界

Bounding the l_2 sensitivity for positive linear observers

Aisling McGlinchey, Oliver Mason

摘要:

考虑正线性系统的差分私人Luenberger观测器的设计。特别是,我们推导出一个界限的$l_2$灵敏度的Luenberger观察员,这是用来量化所需的噪声,通过高斯机制,实现宽松的差分隐私。一种方法,以尽量减少这方面的积极观察员,并推导出几个界限相关的这个问题。

英文摘要:

We consider the design of differentially private Luenberger observers for positive linear systems. In particular, we derive a bound for the $l_2$ sensitivity of Luenberger observers, which is used to quantify the noise required to achieve relaxed differential privacy via the Gaussian mechanism. An approach to minimise this bound for positive observers is described and several bounds relevant to this problem are derived.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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