SIGNALAI·Jun 9, 2026, 4:00 AMSignal75Medium term

On Choosing the $\mu$ Parameter in Gaussian Differential Privacy

Source: arXiv cs.LG

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On Choosing the $\mu$ Parameter in Gaussian Differential Privacy

arXiv:2606.09582v1 Announce Type: new Abstract: Recent work argues for using Gaussian differential privacy (GDP) to report the privacy guarantees in privacy-preserving machine learning. We provide principled mappings from pure-DP $\varepsilon$ to GDP $\mu$ by matching the worst-case success of a strong-adversary membership inference attack in terms of three metrics: multiplicative advantage at fixed FPR, precision at fixed recall, and the standard privacy profile. We tabulate $\mu$ values across a useful range of parameters and recommend $\mu \approx \varepsilon/5$ as a conservative general-pu

Why this matters
Why now

This paper addresses a current challenge in privacy-preserving machine learning, moving from theoretical guarantees to practical, comparable metrics for Gaussian Differential Privacy.

Why it’s important

Establishing clear, principled mappings for privacy parameters is crucial for the adoption and trustworthiness of privacy-preserving AI systems, affecting regulatory compliance and public acceptance.

What changes

The ability to more accurately quantify and compare privacy guarantees (epsilon to mu) under different differential privacy frameworks provides a standardized methodology for ML practitioners.

Winners
  • · AI developers
  • · Privacy-enhancing technologies sector
  • · Data privacy regulators
Losers
  • · Adversarial attackers
  • · Organizations with weak privacy practices
Second-order effects
Direct

Improved standardization and comparability of privacy guarantees in machine learning models through a clearer understanding of Gaussian Differential Privacy's parameters.

Second

Increased adoption of differential privacy in commercial machine learning applications due to better interpretability and regulatory compliance.

Third

Potential for new privacy-preserving AI products and services that can confidently articulate their privacy guarantees to users and authorities.

Editorial confidence: 90 / 100 · Structural impact: 60 / 100
Original report

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