Adversarial Dueling Bandits
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Abstract (arXiv)
We introduce the problem of regret minimization in Adversarial Dueling Bandits. As in classic Dueling Bandits, the learner has to repeatedly choose a pair of items and observe only a relative binary `win-loss' feedback for this pair, but here this feedback is generated from an arbitrary preference matrix, possibly chosen adversarially. Our main result is an algorithm whose T-round regret compared to the Borda-winner from a set of K items is tildeO(K1/3T2/3), as well as a matching Omega(K1/3T2/3) lower bound. We also prove a similar high probability regret bound. We further consider a simpler fixed-gap adversarial setup, which bridges between two extreme preference feedback models for dueling bandits: stationary preferences and an arbitrary sequence of preferences. For the fixed-gap adversarial setup we give an smash tildeO((K/Delta2)logT) regret algorithm, where Delta is the gap in Borda scores between the best item and all other items, and show a lower bound of Omega(K/Delta2) indicating that our dependence on the main problem parameters K and Delta is tight (up to logarithmic factors).
Key facts. Cited by 33 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Oct 2020.
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Citing papers per year: 2021: 2; 2022: 7; 2023: 4; 2024: 9; 2025: 5; 2026: 6.
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- 2021Efficient and Optimal Algorithms for Contextual Dueling Bandits under Realizabilitycited by 44
- 2024Feel-Good Thompson Sampling for Contextual Dueling Banditscited by 23
- 2023Variance-Aware Regret Bounds for Stochastic Contextual Dueling Banditscited by 22
- 2023Borda Regret Minimization for Generalized Linear Dueling Banditscited by 17
- 2021Optimal and Efficient Dynamic Regret Algorithms for Non-Stationary Dueling Banditscited by 9
- 2024Nearly Optimal Algorithms for Contextual Dueling Bandits from Adversarial Feedbackcited by 9
- 2022ANACONDA: An Improved Dynamic Regret Algorithm for Adaptive Non-Stationary Dueling Banditscited by 8
- 2022Non-Stationary Dueling Banditscited by 7
- 2022Versatile Dueling Bandits: Best-of-both-World Analyses for Online Learning from Preferencescited by 5
- 2022Active Learning with Label Comparisonscited by 5
- 2022Dueling Convex Optimization with General Preferencescited by 5
- 2023When Can We Track Significant Preference Shifts in Dueling Bandits?cited by 5
21 more
- 2026Provably Efficient Regularized Online RLHF with Generalized Bilinear Preferencescited by 5
- 2022One Arrow, Two Kills: An Unified Framework for Achieving Optimal Regret Guarantees in Sleeping Banditscited by 3
- 2023Think Before You Duel: Understanding Complexities of Preference Learning under Constrained Resourcescited by 3
- 2024A Simple and Adaptive Learning Rate for FTRL in Online Learning with Minimax Regret of Theta(T2/3) and its Application to Best-of-Both-Worldscited by 3
- 2024Biased Dueling Bandits with Stochastic Delayed Feedbackcited by 3
- 2022Learning to Identify Top Elo Ratings: A Dueling Bandits Approachcited by 2
- 2024Non-Stationary Dueling Bandits Under a Weighted Borda Criterioncited by 2
- 2024Multi-Player Approaches for Dueling Banditscited by 2
- 2025Neural Variance-aware Dueling Bandits with Deep Representation and Shallow Explorationcited by 2
- 2025Reinforcement Learning from Adversarial Preferences in Tabular MDPscited by 2
- 2025Preference-based Reinforcement Learning beyond Pairwise Comparisons: Benefits of Multiple Optionscited by 2
- 2024DP-Dueling: Learning from Preference Feedback without Compromising User Privacycited by 1
- 2024Adversarial Multi-dueling Banditscited by 1
- 2025Fusing Reward and Dueling Feedback in Stochastic Banditscited by 1
- 2026Online Learning and Equilibrium Computation with Ranking Feedbackcited by 1
- 2026Online Convex Optimization with Dueling Feedbackcited by 1
- 2024Set2Seq Transformer: Temporal and Position-Aware Set Representations for Sequential Multiple-Instance Learningcited by 0
- 2025Continuum-armed Bandit Optimization with Batch Pairwise Comparison Oraclescited by 0
- 2026Best-of-Both-Worlds Multi-Dueling Bandits: Unified Algorithms for Stochastic and Adversarial Preferences under Condorcet and Borda Objectivescited by 0
- 2026Efficient Preference Poisoning Attack on Offline RLHFcited by 0
- 2026Learning Kernel-Based MDPs from Episodic Preferential Feedbackcited by 0
- 2026Online Convex Optimization with Dueling Feedback15 Aug 2026
- 2026Learning Kernel-Based MDPs from Episodic Preferential Feedback22 May 2026
- 2026Efficient Preference Poisoning Attack on Offline RLHF4 May 2026
- 2026Online Learning and Equilibrium Computation with Ranking Feedback19 Mar 2026
- 2026Best-of-Both-Worlds Multi-Dueling Bandits: Unified Algorithms for Stochastic and Adversarial Preferences under Condorcet and Borda Objectives19 Mar 2026
- 2026Provably Efficient Regularized Online RLHF with Generalized Bilinear Preferences26 Feb 2026
- 2025Preference-based Reinforcement Learning beyond Pairwise Comparisons: Benefits of Multiple Options21 Oct 2025
- 2025Reinforcement Learning from Adversarial Preferences in Tabular MDPs15 Jul 2025
- 2025Neural Variance-aware Dueling Bandits with Deep Representation and Shallow Exploration2 Jun 2025
- 2025Continuum-armed Bandit Optimization with Batch Pairwise Comparison Oracles28 May 2025
- 2025Fusing Reward and Dueling Feedback in Stochastic Bandits22 Apr 2025
- 2024Biased Dueling Bandits with Stochastic Delayed Feedback26 Aug 2024
21 more
- 2024Set2Seq Transformer: Temporal and Position-Aware Set Representations for Sequential Multiple-Instance Learning6 Aug 2024
- 2024Adversarial Multi-dueling Bandits18 Jun 2024
- 2024A Simple and Adaptive Learning Rate for FTRL in Online Learning with Minimax Regret of Theta(T2/3) and its Application to Best-of-Both-Worlds30 May 2024
- 2024Multi-Player Approaches for Dueling Bandits25 May 2024
- 2024Nearly Optimal Algorithms for Contextual Dueling Bandits from Adversarial Feedback16 Apr 2024
- 2024Feel-Good Thompson Sampling for Contextual Dueling Bandits9 Apr 2024
- 2024DP-Dueling: Learning from Preference Feedback without Compromising User Privacy22 Mar 2024
- 2024Non-Stationary Dueling Bandits Under a Weighted Borda Criterion19 Mar 2024
- 2023Think Before You Duel: Understanding Complexities of Preference Learning under Constrained Resources28 Dec 2023
- 2023Variance-Aware Regret Bounds for Stochastic Contextual Dueling Bandits2 Oct 2023
- 2023Borda Regret Minimization for Generalized Linear Dueling Bandits15 Mar 2023
- 2023When Can We Track Significant Preference Shifts in Dueling Bandits?13 Feb 2023
- 2022One Arrow, Two Kills: An Unified Framework for Achieving Optimal Regret Guarantees in Sleeping Bandits26 Oct 2022
- 2022ANACONDA: An Improved Dynamic Regret Algorithm for Adaptive Non-Stationary Dueling Bandits25 Oct 2022
- 2022Dueling Convex Optimization with General Preferences27 Sep 2022
- 2022Active Learning with Label Comparisons10 Apr 2022
- 2022Versatile Dueling Bandits: Best-of-both-World Analyses for Online Learning from Preferences14 Feb 2022
- 2022Non-Stationary Dueling Bandits2 Feb 2022
- 2022Learning to Identify Top Elo Ratings: A Dueling Bandits Approach12 Jan 2022
- 2021Efficient and Optimal Algorithms for Contextual Dueling Bandits under Realizability24 Nov 2021
- 2021Optimal and Efficient Dynamic Regret Algorithms for Non-Stationary Dueling Bandits6 Nov 2021
- 2024Nearly Optimal Algorithms for Contextual Dueling Bandits from Adversarial Feedbackcited by 9
- 2026Provably Efficient Regularized Online RLHF with Generalized Bilinear Preferencescited by 5
- 2026Efficient Preference Poisoning Attack on Offline RLHFcited by 0
- 2026Learning Kernel-Based MDPs from Episodic Preferential Feedbackcited by 0
- 2026Learning Kernel-Based MDPs from Episodic Preferential Feedback22 May 2026
- 2026Efficient Preference Poisoning Attack on Offline RLHF4 May 2026
- 2026Provably Efficient Regularized Online RLHF with Generalized Bilinear Preferences26 Feb 2026
- 2024Nearly Optimal Algorithms for Contextual Dueling Bandits from Adversarial Feedback16 Apr 2024
- 2021Efficient and Optimal Algorithms for Contextual Dueling Bandits under Realizabilitycited by 44
- 2024Feel-Good Thompson Sampling for Contextual Dueling Banditscited by 23
- 2023Variance-Aware Regret Bounds for Stochastic Contextual Dueling Banditscited by 22
- 2023Borda Regret Minimization for Generalized Linear Dueling Banditscited by 17
- 2021Optimal and Efficient Dynamic Regret Algorithms for Non-Stationary Dueling Banditscited by 9
- 2022ANACONDA: An Improved Dynamic Regret Algorithm for Adaptive Non-Stationary Dueling Banditscited by 8
- 2022Non-Stationary Dueling Banditscited by 7
- 2022Versatile Dueling Bandits: Best-of-both-World Analyses for Online Learning from Preferencescited by 5
- 2022Active Learning with Label Comparisonscited by 5
- 2022Dueling Convex Optimization with General Preferencescited by 5
- 2023When Can We Track Significant Preference Shifts in Dueling Bandits?cited by 5
- 2022One Arrow, Two Kills: An Unified Framework for Achieving Optimal Regret Guarantees in Sleeping Banditscited by 3
12 most cited of 29 All 29 (JSON)
- 2026Online Convex Optimization with Dueling Feedback15 Aug 2026
- 2026Online Learning and Equilibrium Computation with Ranking Feedback19 Mar 2026
- 2026Best-of-Both-Worlds Multi-Dueling Bandits: Unified Algorithms for Stochastic and Adversarial Preferences under Condorcet and Borda Objectives19 Mar 2026
- 2025Preference-based Reinforcement Learning beyond Pairwise Comparisons: Benefits of Multiple Options21 Oct 2025
- 2025Reinforcement Learning from Adversarial Preferences in Tabular MDPs15 Jul 2025
- 2025Neural Variance-aware Dueling Bandits with Deep Representation and Shallow Exploration2 Jun 2025
- 2025Continuum-armed Bandit Optimization with Batch Pairwise Comparison Oracles28 May 2025
- 2025Fusing Reward and Dueling Feedback in Stochastic Bandits22 Apr 2025
- 2024Biased Dueling Bandits with Stochastic Delayed Feedback26 Aug 2024
- 2024Set2Seq Transformer: Temporal and Position-Aware Set Representations for Sequential Multiple-Instance Learning6 Aug 2024
- 2024Adversarial Multi-dueling Bandits18 Jun 2024
- 2024A Simple and Adaptive Learning Rate for FTRL in Online Learning with Minimax Regret of Theta(T2/3) and its Application to Best-of-Both-Worlds30 May 2024
12 newest of 29 All 29 (JSON)