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.