The Stratonovich's value of information (VoI) is quantity that measure how much inferential gain is obtained from a perturbed sample under information leakage constraint. In this paper, we introduce a generalized VoI for a general loss function and general information leakage. Then we derive an upper bound of the generalized VoI. Moreover, for a classical loss function, we provide a achievable condition of the upper bound which is weaker than that of in previous studies. Since VoI can be viewed as a formulation of a privacy-utility trade-off (PUT) problem, we provide an interpretation of the achievable condition in the PUT context.
翻译:Stratonovich的信息价值(VoI)是量度在信息渗漏限制下从受扰动的样本中获得多少推定收益的数量。 在本文中,我们为一般损失函数和一般信息渗漏引入通用VoI。 然后,我们从通用VoI中获取上层。此外,对于典型损失函数,我们提供了比以往研究较弱的上层框的可实现条件。由于VoI可以被视为一种私密效用交换(PUT)问题的表述,我们对PUT中可实现条件的解释。