Research map / Federated learning and privacy / Differential privacy
Instance-Wise Laplace Mechanism via Deep Reinforcement Learning (Student Abstract)
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Proposes an instance-wise Laplace mechanism that assigns non-identical Laplace noise per data instance, with the noise variances chosen by a DQN agent so the output satisfies epsilon-pDP while preserving data statistics better than the standard Laplace mechanism.
Problem
Standard Laplace mechanisms add identical noise to all query outputs, which distorts data statistics, while per-instance differential privacy (pDP) implies each instance has different privacy loss; the interaction of noise across instances makes optimizing non-identical noise hard.
Approach
Formulate the choice of per-instance Laplace noise variances as a Markov decision process and solve it with a DQN-based deep reinforcement learning agent, with a reward that enforces epsilon-pDP and minimizes KL-divergence to the original query output distribution.
Key results
- Proposed instance-wise Laplace mechanism achieves KL-divergence 0.883 versus 1.968 for the conventional Laplace mechanism at epsilon = 0.011 on the height data.
- The method assigns lower-variance noise to frequently occurring data instances, consistent with lower privacy risk for them.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use instance-wise Laplace noise instead of conventional Laplace noise | Laplace mechanism · Personal height dataset | KL-divergence: 1.968 -> 0.883 | Helped |
Limitations
- Method lacks generality across noise distributions such as Gaussian.
- Evaluated only on a single real dataset with a single small epsilon value.
- Small-scale student abstract; details of DQN training and hyperparameters are not reported.
Experimental setup
Datasets: NBA players height dataset (Kaggle)
Benchmarks: NBA players height dataset (Kaggle)
Metrics: KL divergence noise standard deviation
Baselines: Laplace mechanism
Builds on: Laplace mechanism per-instance differential privacy DQN
Closest papers by meaning
- Beyond the Calibration Point: Mechanism Comparison in Differential Privacy (ICML 2024 · similarity 0.87)
- Private Hyperparameter Tuning with Ex-Post Guarantee (NeurIPS 2025 · similarity 0.87)
- Instance-Specific Asymmetric Sensitivity in Differential Privacy (NeurIPS 2024 · similarity 0.87)
- 𝑓-Differential Privacy Filters: Validity and Approximate Solutions (NeurIPS 2026 · similarity 0.86)
- Leveraging Per-Instance Privacy for Machine Unlearning (ICML 2025 · similarity 0.86)
- Rényi Pufferfish Privacy: General Additive Noise Mechanisms and Privacy Amplification by Iteration via Shift Reduction Lemmas (ICML 2024 · similarity 0.86)
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