隐私受限的信息处理
Privacy Constrained Information Processing
摘要：
本文研究的通信场景中，发射机和接收机有不同的目标，由于隐私问题，在索贝尔和克劳福德的战略信息传输（SIT）模型的变化的背景下。我们首先制定的问题作为一个共同的失真最小化的发射机和接收机受到隐私约束的发射机。我们证明了这个配方的等价性的Stackelberg平衡的SIT问题。假设一个基于熵的隐私措施，二次失真措施和联合高斯变量，我们描述了Stackelberg均衡。接下来，我们考虑渐近最优压缩在发射机固有地提供一定程度的隐私，并研究平衡条件。最后，我们分析了存在的平均功率约束的高斯通信信道的发送器和接收器之间的平衡条件的影响。
英文摘要：
This paper studies communication scenarios where the transmitter and the receiver have different objectives due to privacy concerns, in the context of a variation of the strategic information transfer (SIT) model of Sobel and Crawford. We first formulate the problem as the minimization of a common distortion by the transmitter and the receiver subject to a privacy constrained transmitter. We show the equivalence of this formulation to a Stackelberg equilibrium of the SIT problem. Assuming an entropy based privacy measure, a quadratic distortion measure and jointly Gaussian variables, we characterize the Stackelberg equilibrium. Next, we consider asymptotically optimal compression at the transmitter which inherently provides some level of privacy, and study equilibrium conditions. We finally analyze the impact of the presence of an average power constrained Gaussian communication channel between the transmitter and the receiver on the equilibrium conditions.
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