Analysis of How the Choice of Mechanism Influences the Application of Composition Techniques:
The choice of differential privacy mechanism significantly impacts how composition techniques are applied:
1. Noise Magnitude: Some mechanisms introduce more noise than others. A mechanism that adds high levels of noise can amplify the impact of composition techniques, potentially leading to overly conservative privacy bounds.
2. Non-additive Noise: If a mechanism introduces non-additive noise (e.g., multiplicative noise), traditional composition techniques may not be directly applicable. Adaptations are required to combine the effects of non-additive noise across multiple queries.
3. Interaction with Query Sensitivity: The sensitivity of queries (how much the output changes with the addition/removal of a data point) affects the amount of noise needed for privacy. This interaction can influence how composition techniques are employed.
4. Privacy Loss Distribution: Different mechanisms result in varying privacy loss distributions. Composition techniques must consider the statistical properties of the privacy loss distribution introduced by the chosen mechanism.