Mathematical Privacy Guarantee
ZERO RISK DE-ANONYMIZATION
The system implements differential privacy with ε=1.0, δ=1e-6, providing mathematical proof that even with infinite computational power, adversaries cannot determine individual data participation with confidence >1e-6.
Mathematical Formula
For any two neighboring datasets D and D' (differing in one record):
$$ Pr[M(D) \in S] \leq \exp(\epsilon) \cdot Pr[M(D') \in S] + \delta $$
where:
- $M$ is the privacy mechanism
- $\epsilon=1.0$ (Privacy Budget)
- $\delta=1e-6$ (Failure Probability)