Exploration by Optimisation in Partial Monitoring
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Abstract (arXiv)
We provide a simple and efficient algorithm for adversarial k-action d-outcome non-degenerate locally observable partial monitoring game for which the n-round minimax regret is bounded by 6(d+1) k3/2 √n log(k), matching the best known information-theoretic upper bound. The same algorithm also achieves near-optimal regret for full information, bandit and globally observable games.
Key facts. Cited by 20 papers in the map (data through 7 Oct 2026). First posted on arXiv 12 Jul 2019.
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Citing papers per year: 2021: 4; 2022: 4; 2023: 3; 2024: 5; 2025: 3; 2026: 1.
20 papers.
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- 2022On the Complexity of Adversarial Decision Makingcited by 32
- 2022Best-of-Both-Worlds Algorithms for Partial Monitoringcited by 19
- 2023Stability-penalty-adaptive follow-the-regularized-leader: Sparsity, game-dependency, and best-of-both-worldscited by 15
- 2022Minimax Regret for Partial Monitoring: Infinite Outcomes and Rustichini's Regretcited by 13
- 2021Scale Free Adversarial Multi Armed Banditscited by 12
- 2023Linear Partial Monitoring for Sequential Decision-Making: Algorithms, Regret Bounds and Applicationscited by 11
- 2024Assouad, Fano, and Le Cam with Interaction: A Unifying Lower Bound Framework and Characterization for Bandit Learnabilitycited by 11
- 2021A Bit Better? Quantifying Information for Bandit Learningcited by 5
- 2022Gaussian Imagination in Bandit Learningcited by 5
- 2021Isotuning With Applications To Scale-Free Online Learningcited by 4
- 2024Exploration by Optimization with Hybrid Regularizers: Logarithmic Regret with Adversarial Robustness in Partial Monitoringcited 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
8 more
- 2025Decision Making in Hybrid Environments: A Model Aggregation Approachcited by 3
- 2024Randomized Confidence Bounds for Stochastic Partial Monitoringcited by 2
- 2024Regret Minimization via Saddle Point Optimizationcited by 2
- 2021Scale-Free Adversarial Multi-Armed Bandit with Arbitrary Feedback Delayscited by 1
- 2025Instance-Dependent Regret Bounds for Nonstochastic Linear Partial Monitoringcited by 1
- 2026The Sample Complexity of Multiclass and Sparse Contextual Banditscited by 1
- 2023On the Minimax Regret in Online Ranking with Top-k Feedbackcited by 0
- 2025Bayesian Optimization for General Reaction Conditionscited by 0
- 2026The Sample Complexity of Multiclass and Sparse Contextual Bandits28 May 2026
- 2025Instance-Dependent Regret Bounds for Nonstochastic Linear Partial Monitoring22 Oct 2025
- 2025Bayesian Optimization for General Reaction Conditions26 Feb 2025
- 2025Decision Making in Hybrid Environments: A Model Aggregation Approach9 Feb 2025
- 2024Assouad, Fano, and Le Cam with Interaction: A Unifying Lower Bound Framework and Characterization for Bandit Learnability7 Oct 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
- 2024Regret Minimization via Saddle Point Optimization15 Mar 2024
- 2024Exploration by Optimization with Hybrid Regularizers: Logarithmic Regret with Adversarial Robustness in Partial Monitoring13 Feb 2024
- 2024Randomized Confidence Bounds for Stochastic Partial Monitoring7 Feb 2024
- 2023On the Minimax Regret in Online Ranking with Top-k Feedback5 Sep 2023
- 2023Stability-penalty-adaptive follow-the-regularized-leader: Sparsity, game-dependency, and best-of-both-worlds26 May 2023
- 2023Linear Partial Monitoring for Sequential Decision-Making: Algorithms, Regret Bounds and Applications7 Feb 2023
8 more
- 2022Best-of-Both-Worlds Algorithms for Partial Monitoring29 Jul 2022
- 2022On the Complexity of Adversarial Decision Making27 Jun 2022
- 2022Minimax Regret for Partial Monitoring: Infinite Outcomes and Rustichini's Regret22 Feb 2022
- 2022Gaussian Imagination in Bandit Learning6 Jan 2022
- 2021Isotuning With Applications To Scale-Free Online Learning29 Dec 2021
- 2021Scale-Free Adversarial Multi-Armed Bandit with Arbitrary Feedback Delays26 Oct 2021
- 2021Scale Free Adversarial Multi Armed Bandits8 Jun 2021
- 2021A Bit Better? Quantifying Information for Bandit Learning18 Feb 2021
- 2022On the Complexity of Adversarial Decision Makingcited by 32
- 2022Best-of-Both-Worlds Algorithms for Partial Monitoringcited by 19
- 2023Stability-penalty-adaptive follow-the-regularized-leader: Sparsity, game-dependency, and best-of-both-worldscited by 15
- 2022Minimax Regret for Partial Monitoring: Infinite Outcomes and Rustichini's Regretcited by 13
- 2021Scale Free Adversarial Multi Armed Banditscited by 12
- 2023Linear Partial Monitoring for Sequential Decision-Making: Algorithms, Regret Bounds and Applicationscited by 11
- 2024Assouad, Fano, and Le Cam with Interaction: A Unifying Lower Bound Framework and Characterization for Bandit Learnabilitycited by 11
- 2021A Bit Better? Quantifying Information for Bandit Learningcited by 5
- 2022Gaussian Imagination in Bandit Learningcited by 5
- 2021Isotuning With Applications To Scale-Free Online Learningcited by 4
- 2024Exploration by Optimization with Hybrid Regularizers: Logarithmic Regret with Adversarial Robustness in Partial Monitoringcited 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
12 most cited of 20 All 20 (JSON)
- 2026The Sample Complexity of Multiclass and Sparse Contextual Bandits28 May 2026
- 2025Instance-Dependent Regret Bounds for Nonstochastic Linear Partial Monitoring22 Oct 2025
- 2025Bayesian Optimization for General Reaction Conditions26 Feb 2025
- 2025Decision Making in Hybrid Environments: A Model Aggregation Approach9 Feb 2025
- 2024Assouad, Fano, and Le Cam with Interaction: A Unifying Lower Bound Framework and Characterization for Bandit Learnability7 Oct 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
- 2024Regret Minimization via Saddle Point Optimization15 Mar 2024
- 2024Exploration by Optimization with Hybrid Regularizers: Logarithmic Regret with Adversarial Robustness in Partial Monitoring13 Feb 2024
- 2024Randomized Confidence Bounds for Stochastic Partial Monitoring7 Feb 2024
- 2023On the Minimax Regret in Online Ranking with Top-k Feedback5 Sep 2023
- 2023Stability-penalty-adaptive follow-the-regularized-leader: Sparsity, game-dependency, and best-of-both-worlds26 May 2023
- 2023Linear Partial Monitoring for Sequential Decision-Making: Algorithms, Regret Bounds and Applications7 Feb 2023
12 newest of 20 All 20 (JSON)