Private Learning with Public Feature Conditioning
Summary
Cond-DP, a novel differentially private (DP) regression method, addresses settings where data samples include public, non-sensitive features, prevalent in recommendation and advertising systems. This approach, a conditioned variant of DPSGD, leverages the inherent structure of public feature matrices to enhance optimization under privacy constraints. Motivated by the observation that these public features often exhibit rapidly decaying spectra, Cond-DP integrates a data-driven conditioning matrix. This matrix reshapes the optimization landscape, thereby accelerating convergence. The method provides robust convergence guarantees for convex, strongly convex, and non-convex scenarios, and can revert to standard DPSGD when an identity conditioning matrix is used. Crucially, Cond-DP constructs its effective conditioning matrix directly from public features, achieving provably faster convergence in private linear regression without incurring additional privacy costs. Empirical evaluations demonstrate its consistent outperformance against state-of-the-art baselines across diverse datasets and model architectures under label DP.
Key takeaway
For Machine Learning Engineers developing differentially private regression models, especially in recommendation or advertising systems, Cond-DP offers a significant performance improvement. You should consider integrating Cond-DP to leverage public features for faster convergence and enhanced accuracy under label DP, without increasing privacy costs. This approach provides a robust alternative to standard DPSGD, empirically outperforming existing baselines.
Key insights
Cond-DP uses public features to condition DPSGD, accelerating private regression convergence without extra privacy cost.
Principles
- Public features can reshape optimization landscapes.
- Data-driven conditioning improves DP convergence.
- Decaying spectra in public features are exploitable.
Method
Cond-DP incorporates a data-driven conditioning matrix, constructed from public features, into DPSGD. This matrix reshapes the optimization landscape to accelerate convergence in private regression.
In practice
- Apply Cond-DP in recommendation systems.
- Use for advertising systems with sensitive labels.
- Improve private linear regression performance.
Topics
- Differential Privacy
- Private Regression
- DPSGD
- Feature Conditioning
- Machine Learning Optimization
- Recommendation Systems
Best for: Research Scientist, AI Scientist, Machine Learning Engineer, AI Security Engineer
Related on AIssential
Editorial summary, takeaway, and curation by AIssential. Original article published by Artificial Intelligence.