DP-Dueling: Learning from Preference Feedback without Compromising User Privacy
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Abstract (arXiv)
We consider the well-studied dueling bandit problem, where a learner aims to identify near-optimal actions using pairwise comparisons, under the constraint of differential privacy. We consider a general class of utility-based preference matrices for large (potentially unbounded) decision spaces and give the first differentially private dueling bandit algorithm for active learning with user preferences. Our proposed algorithms are computationally efficient with near-optimal performance, both in terms of the private and non-private regret bound. More precisely, we show that when the decision space is of finite size K, our proposed algorithm yields order optimal OBig(sumi = 2KlogfracKTDeltai + fracKεBig) regret bound for pure ε-DP, where Deltai denotes the suboptimality gap of the i-th arm. We also present a matching lower bound analysis which proves the optimality of our algorithms. Finally, we extend our results to any general decision space in d-dimensions with potentially infinite arms and design an ε-DP algorithm with regret tildeO left( fracd6kappa ε + frac d√T kappa right), providing privacy for free when T gg d.
Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 47 of its 76 references that are in the map. First posted on arXiv 22 Mar 2024.
Builds on
47 of 76 references.
References · 47
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- 2023Safe RLHF: Safe Reinforcement Learning from Human Feedbackcited by 630
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35 more
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- 2019Dueling Posterior Sampling for Preference-Based Reinforcement Learningcited by 56
- 2017The Price of Differential Privacy For Online Learningcited by 44
- 2021Efficient and Optimal Algorithms for Contextual Dueling Bandits under Realizabilitycited by 44
- 2015Copeland Dueling Banditscited by 36
- 2017Multi-dueling Bandits with Dependent Armscited by 35
- 2022Stochastic Contextual Dueling Bandits under Linear Stochastic Transitivity Modelscited by 35
- 2020Adversarial Dueling Banditscited by 33
- 2016A Relative Exponential Weighing Algorithm for Adversarial Utility-based Dueling Banditscited by 31
- 2018PAC Battling Bandits in the Plackett-Luce Modelcited by 27
- 2019Preference-Based Learning for Exoskeleton Gait Optimizationcited by 23
- 2017Regret Analysis for Continuous Dueling Banditcited by 21
- 2018Active Ranking with Subset-wise Preferencescited by 21
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- 2020ROIAL: Region of Interest Active Learning for Characterizing Exoskeleton Gait Preference Landscapescited by 19
- 2018PAC Ranking from Pairwise and Listwise Queries: Lower Bounds and Upper Boundscited by 17
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- 2023Eliciting User Preferences for Personalized Multi-Objective Decision Making through Comparative Feedbackcited by 7
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- 2020Best-item Learning in Random Utility Models with Subset Choicescited by 6
- 2021Dueling Bandits with Adversarial Sleepingcited by 5
- 2022Versatile Dueling Bandits: Best-of-both-World Analyses for Online Learning from Preferencescited by 5
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- 2023Faster Convergence with Multiway Preferencescited by 2
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Citing papers per year: 2024: 1.
1 paper.
- 2024Multi-Player Approaches for Dueling Banditscited by 2
- 2024Multi-Player Approaches for Dueling Bandits25 May 2024