BeBold: Exploration Beyond the Boundary of Explored Regions
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Abstract (arXiv)
Efficient exploration under sparse rewards remains a key challenge in deep reinforcement learning. To guide exploration, previous work makes extensive use of intrinsic reward (IR). There are many heuristics for IR, including visitation counts, curiosity, and state-difference. In this paper, we analyze the pros and cons of each method and propose the regulated difference of inverse visitation counts as a simple but effective criterion for IR. The criterion helps the agent explore Beyond the Boundary of explored regions and mitigates common issues in count-based methods, such as short-sightedness and detachment. The resulting method, BeBold, solves the 12 most challenging procedurally-generated tasks in MiniGrid with just 120M environment steps, without any curriculum learning. In comparison, the previous SoTA only solves 50% of the tasks. BeBold also achieves SoTA on multiple tasks in NetHack, a popular rogue-like game that contains more challenging procedurally-generated environments.
Key facts. Cited by 33 papers in the map (data through 14 Oct 2026). First posted on arXiv 15 Dec 2020.
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Citing papers per year: 2021: 10; 2022: 5; 2023: 10; 2024: 2; 2025: 3; 2026: 3.
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- 2021MiniHack the Planet: A Sandbox for Open-Ended Reinforcement Learning Researchcited by 97
- 2023XLand-MiniGrid: Scalable Meta-Reinforcement Learning Environments in JAXcited by 55
- 2021MADE: Exploration via Maximizing Deviation from Explored Regionscited by 40
- 2022An information-theoretic perspective on intrinsic motivation in reinforcement learning: a surveycited by 28
- 2023The SocialAI School: Insights from Developmental Psychology Towards Artificial Socio-Cultural Agentscited by 24
- 2021Dynamic Bottleneck for Robust Self-Supervised Explorationcited by 21
- 2023TiZero: Mastering Multi-Agent Football with Curriculum Learning and Self-Playcited by 20
- 2021TiKick: Towards Playing Multi-agent Football Full Games from Single-agent Demonstrationscited by 18
- 2024NAVIX: Scaling MiniGrid Environments with JAXcited by 18
- 2021C-Planning: An Automatic Curriculum for Learning Goal-Reaching Taskscited by 17
- 2021Generalization in Text-based Games via Hierarchical Reinforcement Learningcited by 11
- 2023minimax: Efficient Baselines for Autocurricula in JAXcited by 10
21 more
- 2024RLeXplore: Accelerating Research in Intrinsically-Motivated Reinforcement Learningcited by 10
- 2021Focus on Impact: Indoor Exploration with Intrinsic Motivationcited by 9
- 2021Don't Do What Doesn't Matter: Intrinsic Motivation with Action Usefulnesscited by 7
- 2022Generative Personas That Behave and Experience Like Humanscited by 7
- 2021Explore and Control with Adversarial Surprisecited by 6
- 2022Play with Emotion: Affect-Driven Reinforcement Learningcited by 6
- 2023Approximate information state based convergence analysis of recurrent Q-learningcited by 5
- 2022Maze Learning using a Hyperdimensional Predictive Processing Cognitive Architecturecited by 4
- 2023Learning to Solve Tasks with Exploring Prior Behaviourscited by 4
- 2025β-DQN: Improving Deep Q-Learning By Evolving the Behaviorcited by 3
- 2026AI Finds A Waycited by 3
- 2021Co-Imitation Learning without Expert Demonstrationcited by 2
- 2022BIMRL: Brain Inspired Meta Reinforcement Learningcited by 2
- 2023A Neuro-mimetic Realization of the Common Model of Cognition via Hebbian Learning and Free Energy Minimizationcited by 2
- 2023Learning Curricula in Open-Ended Worldscited by 2
- 2023OpenRL: A Unified Reinforcement Learning Frameworkcited by 2
- 2023Using Offline Data to Speed Up Reinforcement Learning in Procedurally Generated Environmentscited by 1
- 2025Is Exploration or Optimization the Problem for Deep Reinforcement Learning?cited by 1
- 2025Robust Agents in Open-Ended Worldscited by 1
- 2026Beyond Single-Model Optimization: Preserving Plasticity in Continual Reinforcement Learningcited by 1
- 2026Explore Beyond the Boundary Using Entropic Informationcited by 0
- 2026AI Finds A Way24 Aug 2026
- 2026Explore Beyond the Boundary Using Entropic Information31 Jul 2026
- 2026Beyond Single-Model Optimization: Preserving Plasticity in Continual Reinforcement Learning16 Apr 2026
- 2025Robust Agents in Open-Ended Worlds9 Dec 2025
- 2025Is Exploration or Optimization the Problem for Deep Reinforcement Learning?2 Aug 2025
- 2025β-DQN: Improving Deep Q-Learning By Evolving the Behavior1 Jan 2025
- 2024NAVIX: Scaling MiniGrid Environments with JAX28 Jul 2024
- 2024RLeXplore: Accelerating Research in Intrinsically-Motivated Reinforcement Learning29 May 2024
- 2023OpenRL: A Unified Reinforcement Learning Framework20 Dec 2023
- 2023XLand-MiniGrid: Scalable Meta-Reinforcement Learning Environments in JAX19 Dec 2023
- 2023Learning Curricula in Open-Ended Worlds3 Dec 2023
- 2023minimax: Efficient Baselines for Autocurricula in JAX21 Nov 2023
21 more
- 2023A Neuro-mimetic Realization of the Common Model of Cognition via Hebbian Learning and Free Energy Minimization14 Oct 2023
- 2023The SocialAI School: Insights from Developmental Psychology Towards Artificial Socio-Cultural Agents15 Jul 2023
- 2023Learning to Solve Tasks with Exploring Prior Behaviours6 Jul 2023
- 2023Approximate information state based convergence analysis of recurrent Q-learning9 Jun 2023
- 2023Using Offline Data to Speed Up Reinforcement Learning in Procedurally Generated Environments18 Apr 2023
- 2023TiZero: Mastering Multi-Agent Football with Curriculum Learning and Self-Play15 Feb 2023
- 2022BIMRL: Brain Inspired Meta Reinforcement Learning29 Oct 2022
- 2022An information-theoretic perspective on intrinsic motivation in reinforcement learning: a survey19 Sep 2022
- 2022Generative Personas That Behave and Experience Like Humans26 Aug 2022
- 2022Play with Emotion: Affect-Driven Reinforcement Learning26 Aug 2022
- 2022Maze Learning using a Hyperdimensional Predictive Processing Cognitive Architecture31 Mar 2022
- 2021C-Planning: An Automatic Curriculum for Learning Goal-Reaching Tasks22 Oct 2021
- 2021Dynamic Bottleneck for Robust Self-Supervised Exploration20 Oct 2021
- 2021TiKick: Towards Playing Multi-agent Football Full Games from Single-agent Demonstrations9 Oct 2021
- 2021MiniHack the Planet: A Sandbox for Open-Ended Reinforcement Learning Research27 Sep 2021
- 2021Generalization in Text-based Games via Hierarchical Reinforcement Learning21 Sep 2021
- 2021Focus on Impact: Indoor Exploration with Intrinsic Motivation14 Sep 2021
- 2021Explore and Control with Adversarial Surprise12 Jul 2021
- 2021MADE: Exploration via Maximizing Deviation from Explored Regions18 Jun 2021
- 2021Don't Do What Doesn't Matter: Intrinsic Motivation with Action Usefulness20 May 2021
- 2021Co-Imitation Learning without Expert Demonstration27 Mar 2021
- 2024NAVIX: Scaling MiniGrid Environments with JAXcited by 18
- 2024RLeXplore: Accelerating Research in Intrinsically-Motivated Reinforcement Learningcited by 10
- 2025β-DQN: Improving Deep Q-Learning By Evolving the Behaviorcited by 3
- 2025Is Exploration or Optimization the Problem for Deep Reinforcement Learning?cited by 1
- 2026Beyond Single-Model Optimization: Preserving Plasticity in Continual Reinforcement Learningcited by 1
- 2026Explore Beyond the Boundary Using Entropic Informationcited by 0
- 2026Explore Beyond the Boundary Using Entropic Information31 Jul 2026
- 2026Beyond Single-Model Optimization: Preserving Plasticity in Continual Reinforcement Learning16 Apr 2026
- 2025Is Exploration or Optimization the Problem for Deep Reinforcement Learning?2 Aug 2025
- 2025β-DQN: Improving Deep Q-Learning By Evolving the Behavior1 Jan 2025
- 2024NAVIX: Scaling MiniGrid Environments with JAX28 Jul 2024
- 2024RLeXplore: Accelerating Research in Intrinsically-Motivated Reinforcement Learning29 May 2024
- 2021MiniHack the Planet: A Sandbox for Open-Ended Reinforcement Learning Researchcited by 97
- 2023XLand-MiniGrid: Scalable Meta-Reinforcement Learning Environments in JAXcited by 55
- 2021MADE: Exploration via Maximizing Deviation from Explored Regionscited by 40
- 2022An information-theoretic perspective on intrinsic motivation in reinforcement learning: a surveycited by 28
- 2021Dynamic Bottleneck for Robust Self-Supervised Explorationcited by 21
- 2023TiZero: Mastering Multi-Agent Football with Curriculum Learning and Self-Playcited by 20
- 2021TiKick: Towards Playing Multi-agent Football Full Games from Single-agent Demonstrationscited by 18
- 2021C-Planning: An Automatic Curriculum for Learning Goal-Reaching Taskscited by 17
- 2021Generalization in Text-based Games via Hierarchical Reinforcement Learningcited by 11
- 2023minimax: Efficient Baselines for Autocurricula in JAXcited by 10
- 2021Focus on Impact: Indoor Exploration with Intrinsic Motivationcited by 9
- 2021Don't Do What Doesn't Matter: Intrinsic Motivation with Action Usefulnesscited by 7
12 most cited of 23 All 23 (JSON)
- 2026AI Finds A Way24 Aug 2026
- 2023OpenRL: A Unified Reinforcement Learning Framework20 Dec 2023
- 2023XLand-MiniGrid: Scalable Meta-Reinforcement Learning Environments in JAX19 Dec 2023
- 2023Learning Curricula in Open-Ended Worlds3 Dec 2023
- 2023minimax: Efficient Baselines for Autocurricula in JAX21 Nov 2023
- 2023A Neuro-mimetic Realization of the Common Model of Cognition via Hebbian Learning and Free Energy Minimization14 Oct 2023
- 2023Learning to Solve Tasks with Exploring Prior Behaviours6 Jul 2023
- 2023Approximate information state based convergence analysis of recurrent Q-learning9 Jun 2023
- 2023TiZero: Mastering Multi-Agent Football with Curriculum Learning and Self-Play15 Feb 2023
- 2022BIMRL: Brain Inspired Meta Reinforcement Learning29 Oct 2022
- 2022An information-theoretic perspective on intrinsic motivation in reinforcement learning: a survey19 Sep 2022
- 2022Generative Personas That Behave and Experience Like Humans26 Aug 2022
12 newest of 23 All 23 (JSON)