Research map / Federated learning and privacy / Differential privacy
On the Complexity of Differentially Private Best-Arm Identification with Fixed Confidence
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use Ada-TT instead of DP-SE | Fixed-confidence differentially private best-arm identification · Bernoulli instances tested | stopping time | Helped |
| Increase privacy by reducing epsilon | Ada-TT · Bernoulli instances tested | stopping time | Hurt |
| Increase epsilon above 0.2 | Ada-TT · Bernoulli instances tested | stopping time | No clear effect |
| Use adaptive sampling rather than uniform sampling within phases | Private fixed-confidence best-arm identification · Bernoulli instances tested | stopping time | Helped |
| Add per-arm doubling episodes and forget rewards from previous phases (ablation) | Ada-TT · Asymptotic sample complexity | sample complexity: 4 T_{\mathrm{KL},\beta}^\star(\boldsymbol{\mu}) | Hurt |
| Add Laplace noise to empirical means (ablation) | Ada-TT · Asymptotic sample complexity | sample complexity: 4 T_{\mathrm{KL},\beta}^\star(\boldsymbol{\mu}) \left( 1+ \sqrt{1 + \frac{\Delta^2_{\max}}{2\epsilon^2}} \right) | Hurt |
| Use a private GLR threshold instead of the non-private threshold (ablation) | Ada-TT stopping rule · Asymptotic sample complexity | sample complexity | Hurt |
| Use privacy with sufficiently large epsilon | Fixed-confidence best-arm identification · Low-privacy regime | sample complexity lower bound | No clear effect |
Closest papers by meaning
- Optimal Best Arm Identification under Differential Privacy (NeurIPS 2025 · similarity 0.96)
- Asymptotically Optimal Best Arm Identification with Fixed-Budget under Differential Privacy (NeurIPS 2026 · similarity 0.94)
- Fixed-Budget Differentially Private Best Arm Identification (ICLR 2024 · similarity 0.92)
- Optimal Multi-Fidelity Best-Arm Identification (NeurIPS 2024 · similarity 0.86)
- Nearly Optimal Fixed-Confidence Best-Arm Identification with 1-Bit Feedback (NeurIPS 2026 · similarity 0.86)
- Certification for Differentially Private Prediction in Gradient-Based Training (ICML 2025 · similarity 0.86)
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