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When Privacy Meets Partial Information: A Refined Analysis of Differentially Private Bandits

NeurIPS 2022 · Bandits and online learning › Multi-armed bandits · approach: Optimal stochastic bandit algorithms · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the AdaP-KL-UCB framework instead of competing ε-global DP bandit algorithmsBernoulli 5-arm bandit with means {0.75,0.625,0.5,0.375,0.25}, T = 10^7 · Bernoulli 5-arm banditaverage regret: 10 times lower regretHelped
Increase ε across the high-privacy to low-privacy regimesAdaP-KL-UCB · Bernoulli bandit with means {0.8, 0.1, 0.1, 0.1, 0.1}, T = 10^7regret: ε < 0.3; ε > 0.3Mixed
Use the AdaP-KL-UCB index rather than the AdaP-UCB indexProposed adaptive-episode DP framework · Stochastic banditsproblem-dependent regret bound: d(μ_a, μ*) versus Δ_a^2Helped
Add Laplace noise to reward empirical means, compute private statistics from the last active episode, and use adaptive doubling episodesIndex-based optimistic bandit algorithms · Stochastic banditsregretHelped
Consider global privacy together with reward-distribution distinguishabilityε-global DP stochastic bandits · Stochastic banditsproblem-dependent regret lower bound: min(d_inf, 6 ε t_inf)Mixed

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