Balancing the privacy-utility trade-off: How to draw reliable conclusions from private data

2026-03-13

AI Summary

This work addresses the challenge non-technical users face in understanding the trade-off between privacy loss parameters and the reliability of statistical inference in differential privacy. By reframing the privacy–utility trade-off within a hypothesis testing framework, the paper introduces the concept of “relative disclosure risk,” which directly links privacy loss parameters to the validity of statistical inference. Through theoretical analysis of how differentially private mechanisms affect the significance of hypothesis tests, the study quantifies the uncertainty introduced by randomization and its effectiveness in mitigating membership inference attacks. The resulting insights yield an actionable guideline for non-expert users to select appropriate privacy mechanisms, thereby promoting transparent deployment and principled configuration of differential privacy in practical applications.

Technology Category

• Machine Learning: Privacy
• Reasoning under Uncertainty: Stochastic Optimization
• Constraint Satisfaction and Optimization: Distributed CSP/Optimization

Application Category

• Security and Privacy: Data transparency and provenance
• User Modeling, Personalization and Recommendation: User privacy protection in personalized systems
• Responsible Web: Data and user privacy-enhancing technologies for the Web

Abstract

Absolute anonymization, conceived as an irreversible transformation that prevents re-identification and sensitive value disclosure, has proven to be a broken promise. Consequently, modern data protection must shift toward a privacy-utility trade-off grounded in risk mitigation. Differential Privacy (DP) offers a rigorous mathematical framework for balancing quantified disclosure risk with analytical usefulness. Nevertheless, widespread adoption remains limited, largely because effective translation of complex technical concepts, such as privacy-loss parameters, into forms meaningful to non-technical stakeholders has yet to be achieved. This difficulty arises from the inherent use of randomization: both legitimate analysts and potential adversaries must draw conclusions from uncertain observations rather than deterministic values. In this work, we propose a new interpretation of the privacy-utility trade-off based on hypothesis testing. This perspective explicitly accounts for the uncertainty introduced by randomized mechanisms in both membership inference scenarios and general data analysis. In particular, we introduce the concept of relative disclosure risk to quantify the maximum reduction in uncertainty an adversary can obtain from protected outputs, and we show that this measure is directly related to standard privacy-loss parameters. At the same time, we analyze how DP affects analytical validity by studying its impact on hypothesis tests commonly used to assess the statistical significance of empirical results. Finally, we provide practical guidance, accessible to non-experts, for navigating the privacy-utility trade-off, aiding in the selection of suitable protection mechanisms and the values for the privacy-loss parameters.

Problem

• privacy-utility trade-off
• differential privacy
• disclosure risk
• hypothesis testing
• data analysis

Innovation

• Differential Privacy
• privacy-utility trade-off
• hypothesis testing
• relative disclosure risk
• statistical validity