Privacy-Utility Tradeoff Based on $\alpha$-lift
<|reference_start|>Privacy-Utility Tradeoff Based on $\alpha$-lift: Information density and its exponential form, known as lift, play a central role in information privacy leakage measures. $\alpha$-lift is the power-mean of lift, which is tunable between the worst-case measure max-lift ($\alpha=\infty$) and more relaxed versions ($\alpha<\infty$). This paper investigates the optimization problem of the privacy-utility tradeoff (PUT) where $\alpha$-lift and mutual information are privacy and utility measures, respectively. Due to the nonlinear nature of $\alpha$-lift for $\alpha<\infty$, finding the optimal solution is challenging. Therefore, we propose a heuristic algorithm to estimate the optimal utility for each value of $\alpha$, inspired by the optimal solution for $\alpha=\infty$ and the convexity of $\alpha$-lift with respect to the lift, which we prove. The numerical results show the efficacy of the algorithm and indicate the effective range of $\alpha$ and privacy budget $\varepsilon$ with good PUT performance.<|reference_end|>
@article{zarrabian2024privacy-utility,
    title={Privacy-Utility Tradeoff Based on $\alpha$-lift},
    author={Mohammad Amin Zarrabian, Parastoo Sadeghi},
    journal={arXiv preprint arXiv:2406.06990},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.06990},
    primaryClass={cs.IT math.IT}
}