8. Practical Considerations and Limitations:
Implementing composition algorithms in real-world scenarios can pose
several challenges:
1. Complexity and Scalability: As the number of queries or analyses
increases, the complexity of calculating cumulative privacy loss grows
exponentially. Ensuring efficient and scalable algorithms becomes
crucial.
2. Adaptive Queries: Handling adaptive queries that depend on previous
analysis outcomes requires dynamic adjustment of privacy parameters.
Implementing such adaptability can be intricate.
3. Privacy Budget Management: Allocating and managing the privacy budget
across different queries while maintaining overall privacy guarantees is
a complex task, especially in settings with adaptive queries.
4. Mechanism Interactions: Composition techniques must consider the
interactions between differential privacy mechanisms. Combining
mechanisms with different noise distributions or privacy behaviours
requires careful analysis.