Differential Privacy

  1. Advanced Topics and Current Research
    1. The Accuracy-Privacy Trade-off
      1. Fundamental Limits on Utility
        1. Lower Bounds on Error
          1. Impact of Dataset Size
            1. Impact of Query Complexity
              1. Strategies for Optimization
                1. Adaptive Data Analysis
                2. Privacy Budget Management
                  1. Setting the Privacy Budget
                    1. Contextual Considerations
                      1. Ethical Frameworks
                        1. Stakeholder Communication
                        2. Budget Allocation Strategies
                          1. Static vs Dynamic Allocation
                            1. Query Prioritization
                              1. Adaptive Strategies
                              2. Privacy Accounting Systems
                                1. Automated Budget Tracking
                                  1. Composition Analysis Tools
                                2. Interaction with Other Privacy Technologies
                                  1. Secure Multi-Party Computation
                                    1. Overview and Integration
                                      1. MPC with DP Guarantees
                                        1. Performance Considerations
                                        2. Homomorphic Encryption
                                          1. Overview and Integration
                                            1. Noise Addition in Encrypted Domain
                                              1. Practical Challenges
                                              2. Zero-Knowledge Proofs
                                                1. Overview and Integration
                                                  1. Private Verification
                                                  2. Trusted Execution Environments
                                                    1. Hardware-based Privacy
                                                      1. Integration with DP
                                                    2. Attacks on DP Implementations
                                                      1. Implementation Vulnerabilities
                                                        1. Side-Channel Attacks
                                                          1. Timing Attacks
                                                            1. Memory Access Patterns
                                                              1. Power Analysis
                                                              2. Floating-Point Precision Issues
                                                                1. Impact on Privacy Guarantees
                                                                  1. Mitigation Strategies
                                                                    1. Secure Implementations
                                                                  2. Theoretical Attacks
                                                                    1. Incorrect Sensitivity Calculation
                                                                      1. Consequences and Examples
                                                                        1. Verification Methods
                                                                        2. Composition Tracking Errors
                                                                          1. Parameter Selection Attacks
                                                                          2. Privacy Auditing
                                                                            1. Membership Inference Tests
                                                                              1. Property Inference Tests
                                                                                1. Reconstruction Attacks
                                                                              2. Differential Privacy for Complex Data
                                                                                1. Graph Data
                                                                                  1. Node vs Edge Privacy
                                                                                    1. Sensitivity in Graph Metrics
                                                                                      1. Mechanisms for Graph Analysis
                                                                                        1. Subgraph Counting
                                                                                          1. Community Detection
                                                                                          2. Time Series Data
                                                                                            1. Temporal Correlations
                                                                                              1. Event-level vs User-level Privacy
                                                                                                1. Streaming Algorithms
                                                                                                  1. Forecasting with DP
                                                                                                  2. Location Data
                                                                                                    1. Geo-indistinguishability
                                                                                                      1. Location Trajectories
                                                                                                        1. Spatial Decompositions
                                                                                                          1. Map-based Services
                                                                                                          2. Text and Natural Language
                                                                                                            1. Sensitivity in Text Analysis
                                                                                                              1. Private Language Models
                                                                                                                1. Document Classification
                                                                                                                  1. Sentiment Analysis
                                                                                                                  2. High-Dimensional Data
                                                                                                                    1. Curse of Dimensionality
                                                                                                                      1. Dimensionality Reduction
                                                                                                                        1. Sparse Data Challenges

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                                                                                                                    6. Differential Privacy in Practice

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                                                                                                                    8. Governance, Ethics, and Real-World Deployment