Maximize to Explore: One Objective Function Fusing Estimation, Planning, and Exploration
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Abstract (arXiv)
In online reinforcement learning (online RL), balancing exploration and exploitation is crucial for finding an optimal policy in a sample-efficient way. To achieve this, existing sample-efficient online RL algorithms typically consist of three components: estimation, planning, and exploration. However, in order to cope with general function approximators, most of them involve impractical algorithmic components to incentivize exploration, such as optimization within data-dependent level-sets or complicated sampling procedures. To address this challenge, we propose an easy-to-implement RL framework called textitMaximize to Explore (textttMEX), which only needs to optimize unconstrainedly a single objective that integrates the estimation and planning components while balancing exploration and exploitation automatically. Theoretically, we prove that textttMEX achieves a sublinear regret with general function approximations for Markov decision processes (MDP) and is further extendable to two-player zero-sum Markov games (MG). Meanwhile, we adapt deep RL baselines to design practical versions of textttMEX, in both model-free and model-based manners, which can outperform baselines by a stable margin in various MuJoCo environments with sparse rewards. Compared with existing sample-efficient online RL algorithms with general function approximations, textttMEX achieves similar sample efficiency while enjoying a lower computational cost and is more compatible with modern deep RL methods.
Key facts. Cited by 20 papers in the map (data through 7 Oct 2026). Builds on 59 of its 93 references that are in the map. First posted on arXiv 29 May 2023.
Builds on
59 of 93 references.
References · 59
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- 2018Addressing Function Approximation Error in Actor-Critic Methodscited by 2,302
- 2020Conservative Q-Learning for Offline Reinforcement Learningcited by 1,777
- 2017Curiosity-driven Exploration by Self-supervised Predictioncited by 1,173
- 2019Meta-World: A Benchmark and Evaluation for Multi-Task and Meta Reinforcement Learningcited by 1,168
- 2018Exploration by Random Network Distillationcited by 966
- 2019When to Trust Your Model: Model-Based Policy Optimizationcited by 753
- 2018Deep Reinforcement Learning in a Handful of Trials using Probabilistic Dynamics Modelscited by 748
- 2016Unifying Count-Based Exploration and Intrinsic Motivationcited by 632
- 2016Deep Exploration via Bootstrapped DQNcited by 518
- 2019Provably Efficient Reinforcement Learning with Linear Function Approximationcited by 514
- 2017Minimax Regret Bounds for Reinforcement Learningcited by 500
38 more
- 2020Is Pessimism Provably Efficient for Offline RL?cited by 362
- 2016Contextual Decision Processes with Low Bellman Rank are PAC-Learnablecited by 290
- 2021Bellman-consistent Pessimism for Offline Reinforcement Learningcited by 267
- 2020Model-Based Reinforcement Learning with Value-Targeted Regressioncited by 233
- 2021Bellman Eluder Dimension: New Rich Classes of RL Problems, and Sample-Efficient Algorithmscited by 222
- 2018Model-Ensemble Trust-Region Policy Optimizationcited by 214
- 2021The Statistical Complexity of Interactive Decision Makingcited by 208
- 2019Provably Efficient Exploration in Policy Optimizationcited by 203
- 2020Nearly Minimax Optimal Reinforcement Learning for Linear Mixture Markov Decision Processescited by 199
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- 2021Bilinear Classes: A Structural Framework for Provable Generalization in RLcited by 176
- 2015Incentivizing Exploration In Reinforcement Learning With Deep Predictive Modelscited by 154
- 2020SUNRISE: A Simple Unified Framework for Ensemble Learning in Deep Reinforcement Learningcited by 150
- 2015Variational Information Maximisation for Intrinsically Motivated Reinforcement Learningcited by 142
- 2022RAMBO-RL: Robust Adversarial Model-Based Offline Reinforcement Learningcited by 115
- 2020Provable Self-Play Algorithms for Competitive Reinforcement Learningcited by 112
- 2019Optimism in Reinforcement Learning with Generalized Linear Function Approximationcited by 111
- 2020Near-Optimal Reinforcement Learning with Self-Playcited by 108
- 2020A Sharp Analysis of Model-based Reinforcement Learning with Self-Playcited by 104
- 2019Sample Complexity of Reinforcement Learning using Linearly Combined Model Ensemblescited by 100
- 2019Frequentist Regret Bounds for Randomized Least-Squares Value Iterationcited by 100
- 2020Learning Zero-Sum Simultaneous-Move Markov Games Using Function Approximation and Correlated Equilibriumcited by 100
- 2022When Is Partially Observable Reinforcement Learning Not Scary?cited by 100
- 2022The Role of Coverage in Online Reinforcement Learningcited by 82
- 2019A survey on intrinsic motivation in reinforcement learningcited by 79
- 2020Sample-Efficient Reinforcement Learning of Undercomplete POMDPscited by 66
- 2021Feel-Good Thompson Sampling for Contextual Bandits and Reinforcement Learningcited by 65
- 2017Ensemble Samplingcited by 62
- 2023Double Pessimism is Provably Efficient for Distributionally Robust Offline Reinforcement Learning: Generic Algorithm and Robust Partial Coveragecited by 51
- 2021The Power of Exploiter: Provable Multi-Agent RL in Large State Spacescited by 48
- 2021Towards General Function Approximation in Zero-Sum Markov Gamescited by 42
- 2022PAC Reinforcement Learning for Predictive State Representationscited by 42
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- 2022Provably Efficient Reinforcement Learning in Partially Observable Dynamical Systemscited by 35
- 2022Model-based RL with Optimistic Posterior Sampling: Structural Conditions and Sample Complexitycited by 31
- 2022A General Framework for Sample-Efficient Function Approximation in Reinforcement Learningcited by 31
- 2022A Provably Efficient Model-Free Posterior Sampling Method for Episodic Reinforcement Learningcited by 30
- 2023Tight Guarantees for Interactive Decision Making with the Decision-Estimation Coefficientcited by 29
50 most cited of 59 All 59 (JSON)
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Citing papers per year: 2023: 2; 2024: 12; 2025: 4; 2026: 2.
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- 2026Adversarial Imitation Learning with General Function Approximation: Theoretical Analysis and Practical Algorithmscited by 1
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- 2026Adversarial Imitation Learning with General Function Approximation: Theoretical Analysis and Practical Algorithms3 May 2026
- 2026Learning Approximate Nash Equilibria in Cooperative Multi-Agent Reinforcement Learning via Mean-Field Subsampling4 Mar 2026
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- 2025MAGIC-MASK: Multi-Agent Guided Inter-Agent Collaboration with Mask-Based Explainability for Reinforcement Learning30 Sep 2025
- 2025Outcome-Based Online Reinforcement Learning: Algorithms and Fundamental Limits26 May 2025
- 2025Incentivize without Bonus: Provably Efficient Model-based Online Multi-agent RL for Markov Games13 Feb 2025
- 2024Sharp Analysis for KL-Regularized Contextual Bandits and RLHF7 Nov 2024
- 2024Provably and Practically Efficient Adversarial Imitation Learning with General Function Approximation1 Nov 2024
- 2024Provably Efficient Exploration in Inverse Constrained Reinforcement Learning24 Sep 2024
- 2024Combinatorial Multivariant Multi-Armed Bandits with Applications to Episodic Reinforcement Learning and Beyond3 Jun 2024
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- 2024Self-Exploring Language Models: Active Preference Elicitation for Online Alignment29 May 2024
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- 2024Provably Mitigating Overoptimization in RLHF: Your SFT Loss is Implicitly an Adversarial Regularizer26 May 2024
- 2024RLHF Workflow: From Reward Modeling to Online RLHF13 May 2024
- 2024Provably Efficient Information-Directed Sampling Algorithms for Multi-Agent Reinforcement Learning30 Apr 2024
- 2024DPO Meets PPO: Reinforced Token Optimization for RLHF29 Apr 2024
- 2024Q-Star Meets Scalable Posterior Sampling: Bridging Theory and Practice via HyperAgent5 Feb 2024
- 2023Iterative Preference Learning from Human Feedback: Bridging Theory and Practice for RLHF under KL-Constraint18 Dec 2023
- 2023Horizon-Free and Instance-Dependent Regret Bounds for Reinforcement Learning with General Function Approximation7 Dec 2023
- 2023Iterative Preference Learning from Human Feedback: Bridging Theory and Practice for RLHF under KL-Constraintcited by 346
- 2024DPO Meets PPO: Reinforced Token Optimization for RLHFcited by 126
- 2024Provably Mitigating Overoptimization in RLHF: Your SFT Loss is Implicitly an Adversarial Regularizercited by 109
- 2024Exploratory Preference Optimization: Harnessing Implicit Q*-Approximation for Sample-Efficient RLHFcited by 106
- 2024Value-Incentivized Preference Optimization: A Unified Approach to Online and Offline RLHFcited by 73
- 2024Self-Exploring Language Models: Active Preference Elicitation for Online Alignmentcited by 63
- 2024Sharp Analysis for KL-Regularized Contextual Bandits and RLHFcited by 32
- 2025Provably Mitigating Corruption, Overoptimization, and Verbosity Simultaneously in Offline and Online RLHF/DPO Alignmentcited by 1
- 2025Provably Mitigating Corruption, Overoptimization, and Verbosity Simultaneously in Offline and Online RLHF/DPO Alignment7 Oct 2025
- 2024Sharp Analysis for KL-Regularized Contextual Bandits and RLHF7 Nov 2024
- 2024Exploratory Preference Optimization: Harnessing Implicit Q*-Approximation for Sample-Efficient RLHF31 May 2024
- 2024Self-Exploring Language Models: Active Preference Elicitation for Online Alignment29 May 2024
- 2024Value-Incentivized Preference Optimization: A Unified Approach to Online and Offline RLHF29 May 2024
- 2024Provably Mitigating Overoptimization in RLHF: Your SFT Loss is Implicitly an Adversarial Regularizer26 May 2024
- 2024DPO Meets PPO: Reinforced Token Optimization for RLHF29 Apr 2024
- 2023Iterative Preference Learning from Human Feedback: Bridging Theory and Practice for RLHF under KL-Constraint18 Dec 2023
- 2024RLHF Workflow: From Reward Modeling to Online RLHFcited by 265
- 2024RLHF Workflow: From Reward Modeling to Online RLHF13 May 2024
- 2024Combinatorial Multivariant Multi-Armed Bandits with Applications to Episodic Reinforcement Learning and Beyondcited by 7
- 2025Outcome-Based Online Reinforcement Learning: Algorithms and Fundamental Limitscited by 7
- 2024Q-Star Meets Scalable Posterior Sampling: Bridging Theory and Practice via HyperAgentcited by 6
- 2023Horizon-Free and Instance-Dependent Regret Bounds for Reinforcement Learning with General Function Approximationcited by 4
- 2024Provably Efficient Information-Directed Sampling Algorithms for Multi-Agent Reinforcement Learningcited by 2
- 2026Learning Approximate Nash Equilibria in Cooperative Multi-Agent Reinforcement Learning via Mean-Field Subsamplingcited by 2
- 2024Provably Efficient Exploration in Inverse Constrained Reinforcement Learningcited by 1
- 2025Incentivize without Bonus: Provably Efficient Model-based Online Multi-agent RL for Markov Gamescited by 1
- 2025MAGIC-MASK: Multi-Agent Guided Inter-Agent Collaboration with Mask-Based Explainability for Reinforcement Learningcited by 0
- 2026Learning Approximate Nash Equilibria in Cooperative Multi-Agent Reinforcement Learning via Mean-Field Subsampling4 Mar 2026
- 2025MAGIC-MASK: Multi-Agent Guided Inter-Agent Collaboration with Mask-Based Explainability for Reinforcement Learning30 Sep 2025
- 2025Outcome-Based Online Reinforcement Learning: Algorithms and Fundamental Limits26 May 2025
- 2025Incentivize without Bonus: Provably Efficient Model-based Online Multi-agent RL for Markov Games13 Feb 2025
- 2024Provably Efficient Exploration in Inverse Constrained Reinforcement Learning24 Sep 2024
- 2024Combinatorial Multivariant Multi-Armed Bandits with Applications to Episodic Reinforcement Learning and Beyond3 Jun 2024
- 2024Provably Efficient Information-Directed Sampling Algorithms for Multi-Agent Reinforcement Learning30 Apr 2024
- 2024Q-Star Meets Scalable Posterior Sampling: Bridging Theory and Practice via HyperAgent5 Feb 2024
- 2023Horizon-Free and Instance-Dependent Regret Bounds for Reinforcement Learning with General Function Approximation7 Dec 2023