Online algorithms for POMDPs with continuous state, action, and observation spaces
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Abstract (arXiv)
Online solvers for partially observable Markov decision processes have been applied to problems with large discrete state spaces, but continuous state, action, and observation spaces remain a challenge. This paper begins by investigating double progressive widening (DPW) as a solution to this challenge. However, we prove that this modification alone is not sufficient because the belief representations in the search tree collapse to a single particle causing the algorithm to converge to a policy that is suboptimal regardless of the computation time. This paper proposes and evaluates two new algorithms, POMCPOW and PFT-DPW, that overcome this deficiency by using weighted particle filtering. Simulation results show that these modifications allow the algorithms to be successful where previous approaches fail.
Key facts. Cited by 82 papers in the map (data through 7 Oct 2026). First posted on arXiv 18 Sep 2017.
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Citing papers per year: 2021: 9; 2022: 17; 2023: 19; 2024: 10; 2025: 12; 2026: 15.
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- 2021Robust Reinforcement Learning on State Observations with Learned Optimal Adversarycited by 133
- 2022Partially Observable Markov Decision Processes in Robotics: A Surveycited by 81
- 2022Provably Safe Reinforcement Learning: Conceptual Analysis, Survey, and Benchmarkingcited by 31
- 2024Pragmatic Instruction Following and Goal Assistance via Cooperative Language-Guided Inverse Planningcited by 28
- 2022Optimality Guarantees for Particle Belief Approximation of POMDPscited by 20
- 2022Safe Output Feedback Motion Planning from Images via Learned Perception Modules and Contraction Theorycited by 18
- 2026VJEPA: Variational Joint Embedding Predictive Architectures as Probabilistic World Modelscited by 14
- 2023Active Uncertainty Reduction for Safe and Efficient Interaction Planning: A Shielding-Aware Dual Control Approachcited by 13
- 2023BetaZero: Belief-State Planning for Long-Horizon POMDPs using Learned Approximationscited by 13
- 2021Adaptive Informative Path Planning Using Deep Reinforcement Learning for UAV-based Active Sensingcited by 12
- 2024Bayes Adaptive Monte Carlo Tree Search for Offline Model-based Reinforcement Learningcited by 11
- 2021Compositional Learning-based Planning for Vision POMDPscited by 8
38 more
- 2022Epistemic Monte Carlo Tree Searchcited by 7
- 2023Active teacher selection for reward learningcited by 7
- 2024ConstrainedZero: Chance-Constrained POMDP Planning using Learned Probabilistic Failure Surrogates and Adaptive Safety Constraintscited by 7
- 2021Simplified Belief-Dependent Reward MCTS Planning with Guaranteed Tree Consistencycited by 6
- 2022Adaptive Information Belief Space Planningcited by 6
- 2022A POMDP Model for Safe Geological Carbon Sequestrationcited by 6
- 2023Adaptive Discretization using Voronoi Trees for Continuous POMDPscited by 6
- 2022Mask Atari for Deep Reinforcement Learning as POMDP Benchmarkscited by 5
- 2022Online Planning for Constrained POMDPs with Continuous Spaces through Dual Ascentcited by 5
- 2024Learning Online Belief Prediction for Efficient POMDP Planning in Autonomous Drivingcited by 5
- 2021Monte Carlo Information-Oriented Planningcited by 4
- 2021Online POMDP Planning via Simplificationcited by 4
- 2022Intention-Aware Navigation in Crowds with Extended-Space POMDP Planningcited by 4
- 2022Sequential Bayesian Optimization for Adaptive Informative Path Planning with Multimodal Sensingcited by 4
- 2023Simplified Continuous High Dimensional Belief Space Planning with Adaptive Probabilistic Belief-dependent Constraintscited by 4
- 2022Risk Aware Adaptive Belief-dependent Probabilistically Constrained Continuous POMDP Planningcited by 3
- 2022Adaptive Discretization using Voronoi Trees for Continuous-Action POMDPscited by 3
- 2025Managing Geological Uncertainty in Critical Mineral Supply Chains: A POMDP Approach with Application to U.S. Lithium Resourcescited by 3
- 2021Probabilistic Loss and its Online Characterization for Simplified Decision Making Under Uncertaintycited by 2
- 2021Efficient Sampling in POMDPs with Lipschitz Bandits for Motion Planning in Continuous Spacescited by 2
- 2021HARPS: An Online POMDP Framework for Human-Assisted Robotic Planning and Sensingcited by 2
- 2022Monte Carlo Planning in Hybrid Belief POMDPscited by 2
- 2023Reflections from the Workshop on AI-Assisted Decision Making for Conservationcited by 2
- 2023Online POMDP Planning with Anytime Deterministic Optimality Guaranteescited by 2
- 2023Rollout Heuristics for Online Stochastic Contingent Planningcited by 2
- 2023Simplifying Complex Observation Models in Continuous POMDP Planning with Probabilistic Guarantees and Practicecited by 2
- 2024Previous Knowledge Utilization In Online Anytime Belief Space Planningcited by 2
- 2025Observation Adaptation via Annealed Importance Resampling for Partially Observable Markov Decision Processescited by 2
- 2025Sequential Monte Carlo for Policy Optimization in Continuous POMDPscited by 2
- 2025Probabilistic Active Goal Recognitioncited by 2
- 2026Online Risk-Averse Planning in POMDPs Using Iterated CVaR Value Functioncited by 2
- 2022Risk-aware Meta-level Decision Making for Exploration Under Uncertaintycited by 1
- 2023Data Association Aware POMDP Planning with Hypothesis Pruning Performance Guaranteescited by 1
- 2023Optimizing Carbon Storage Operations for Long-Term Safetycited by 1
- 2023Monte-Carlo Search for an Equilibrium in Dec-POMDPscited by 1
- 2023Reinforcement Learning under External Influence: Guarantees, Algorithms, and Sample Complexitycited by 1
- 2023Measurement Simplification in ρ-POMDP with Performance Guaranteescited by 1
- 2023No Compromise in Solution Quality: Speeding Up Belief-dependent Continuous POMDPs via Adaptive Multilevel Simplificationcited by 1
50 most cited of 82 All 82 (JSON)
- 2026Risk-Averse Online POMDP Planning via CVaR of the Immediate Cost with Performance Guarantees26 Sep 2026
- 2026Chance-Constrained Belief-Space Maneuver Planning for Autonomous Collision Avoidance Under Uncertainty11 Sep 2026
- 2026Scalable Rao-Blackwellized Online Planning for High-Dimensional POMDPs1 Sep 2026
- 2026Expected Free Energy as Belief-Dependent Utility for rho-POMDPs18 Jul 2026
- 2026Hope for the Best, Prepare for the Worst: Occlusion-Aware Contingency Planning for Autonomous Vehicles3 Jul 2026
- 2026REBA: A Revealed Belief Automaton Framework for Online Planning in Continuous POMDPs20 Jun 2026
- 2026VOiLA: Vectorized Online Planning with Learned Diffusion Models for POMDP Agents18 Jun 2026
- 2026Optimizing Lithium Production Decisions under Geological, Demand, and Pricing Uncertainties: A POMDP Framework for Multi-Objective Decision Making17 Jun 2026
- 2026Finite-Time Analysis of MCTS in Continuous POMDP Planning8 May 2026
- 2026Leveraging the Value of Information in POMDP Planning1 Apr 2026
- 2026POMDPPlanners: Open-Source Package for POMDP Planning24 Feb 2026
- 2026Online Navigation Planning for Long-term Autonomous Operation of Underwater Gliders22 Feb 2026
38 more
- 2026Perception-Based Beliefs for POMDPs with Visual Observations5 Feb 2026
- 2026Online Risk-Averse Planning in POMDPs Using Iterated CVaR Value Function28 Jan 2026
- 2026VJEPA: Variational Joint Embedding Predictive Architectures as Probabilistic World Models20 Jan 2026
- 2025POrTAL: Plan-Orchestrated Tree Assembly for Lookahead2 Dec 2025
- 2025AI-Driven Optimization under Uncertainty for Mineral Processing Operations1 Dec 2025
- 2025ESCORT: Efficient Stein-variational and Sliced Consistency-Optimized Temporal Belief Representation for POMDPs24 Oct 2025
- 2025GammaZero: Learning To Guide POMDP Belief Space Search With Graph Representations15 Oct 2025
- 2025Probabilistic Active Goal Recognition29 Jul 2025
- 2025Partially Observable Reference Policy Programming: Solving POMDPs Sans Numerical Optimisation16 Jul 2025
- 2025Sequential Monte Carlo for Policy Optimization in Continuous POMDPs22 May 2025
- 2025Conditional Deep Generative Models for Belief State Planning16 May 2025
- 2025Observation Adaptation via Annealed Importance Resampling for Partially Observable Markov Decision Processes25 Mar 2025
- 2025Action-Gradient Monte Carlo Tree Search for Non-Parametric Continuous (PO)MDPs15 Mar 2025
- 2025Managing Geological Uncertainty in Critical Mineral Supply Chains: A POMDP Approach with Application to U.S. Lithium Resources8 Feb 2025
- 2025Belief Roadmaps with Uncertain Landmark Evanescence29 Jan 2025
- 2024Previous Knowledge Utilization In Online Anytime Belief Space Planning17 Dec 2024
- 2024Towards Intention Recognition for Robotic Assistants Through Online POMDP Planning26 Nov 2024
- 2024Anytime Probabilistically Constrained Provably Convergent Online Belief Space Planning11 Nov 2024
- 2024POMDP-Driven Cognitive Massive MIMO Radar: Joint Target Detection-Tracking In Unknown Disturbances23 Oct 2024
- 2024Bayes Adaptive Monte Carlo Tree Search for Offline Model-based Reinforcement Learning15 Oct 2024
- 2024Towards Cost Sensitive Decision Making4 Oct 2024
- 2024MEXGEN: An Effective and Efficient Information Gain Approximation for Information Gathering Path Planning4 May 2024
- 2024ConstrainedZero: Chance-Constrained POMDP Planning using Learned Probabilistic Failure Surrogates and Adaptive Safety Constraints1 May 2024
- 2024Pragmatic Instruction Following and Goal Assistance via Cooperative Language-Guided Inverse Planning27 Feb 2024
- 2024Learning Online Belief Prediction for Efficient POMDP Planning in Autonomous Driving27 Jan 2024
- 2023Factored Online Planning in Many-Agent POMDPs18 Dec 2023
- 2023Simplifying Complex Observation Models in Continuous POMDP Planning with Probabilistic Guarantees and Practice13 Nov 2023
- 2023Constrained Hierarchical Monte Carlo Belief-State Planning30 Oct 2023
- 2023Active teacher selection for reward learning23 Oct 2023
- 2023No Compromise in Solution Quality: Speeding Up Belief-dependent Continuous POMDPs via Adaptive Multilevel Simplification16 Oct 2023
- 2023Rollout Heuristics for Online Stochastic Contingent Planning3 Oct 2023
- 2023Online POMDP Planning with Anytime Deterministic Optimality Guarantees3 Oct 2023
- 2023Measurement Simplification in ρ-POMDP with Performance Guarantees19 Sep 2023
- 2023Reflections from the Workshop on AI-Assisted Decision Making for Conservation17 Jul 2023
- 2023BetaZero: Belief-State Planning for Long-Horizon POMDPs using Learned Approximations31 May 2023
- 2023Reinforcement Learning under External Influence: Guarantees, Algorithms, and Sample Complexity25 May 2023
- 2023Monte-Carlo Search for an Equilibrium in Dec-POMDPs19 May 2023
- 2023A Surprisingly Simple Continuous-Action POMDP Solver: Lazy Cross-Entropy Search Over Policy Trees14 May 2023
50 newest of 82 All 82 (JSON)
- 2021Robust Reinforcement Learning on State Observations with Learned Optimal Adversarycited by 133
- 2022Partially Observable Markov Decision Processes in Robotics: A Surveycited by 81
- 2022Provably Safe Reinforcement Learning: Conceptual Analysis, Survey, and Benchmarkingcited by 31
- 2024Pragmatic Instruction Following and Goal Assistance via Cooperative Language-Guided Inverse Planningcited by 28
- 2022Optimality Guarantees for Particle Belief Approximation of POMDPscited by 20
- 2022Safe Output Feedback Motion Planning from Images via Learned Perception Modules and Contraction Theorycited by 18
- 2023Active Uncertainty Reduction for Safe and Efficient Interaction Planning: A Shielding-Aware Dual Control Approachcited by 13
- 2023BetaZero: Belief-State Planning for Long-Horizon POMDPs using Learned Approximationscited by 13
- 2021Adaptive Informative Path Planning Using Deep Reinforcement Learning for UAV-based Active Sensingcited by 12
- 2021Compositional Learning-based Planning for Vision POMDPscited by 8
- 2022Epistemic Monte Carlo Tree Searchcited by 7
- 2023Active teacher selection for reward learningcited by 7
12 most cited of 77 All 77 (JSON)
- 2026Risk-Averse Online POMDP Planning via CVaR of the Immediate Cost with Performance Guarantees26 Sep 2026
- 2026Chance-Constrained Belief-Space Maneuver Planning for Autonomous Collision Avoidance Under Uncertainty11 Sep 2026
- 2026Scalable Rao-Blackwellized Online Planning for High-Dimensional POMDPs1 Sep 2026
- 2026Expected Free Energy as Belief-Dependent Utility for rho-POMDPs18 Jul 2026
- 2026REBA: A Revealed Belief Automaton Framework for Online Planning in Continuous POMDPs20 Jun 2026
- 2026Optimizing Lithium Production Decisions under Geological, Demand, and Pricing Uncertainties: A POMDP Framework for Multi-Objective Decision Making17 Jun 2026
- 2026Finite-Time Analysis of MCTS in Continuous POMDP Planning8 May 2026
- 2026Leveraging the Value of Information in POMDP Planning1 Apr 2026
- 2026POMDPPlanners: Open-Source Package for POMDP Planning24 Feb 2026
- 2026Online Navigation Planning for Long-term Autonomous Operation of Underwater Gliders22 Feb 2026
- 2026Perception-Based Beliefs for POMDPs with Visual Observations5 Feb 2026
- 2026Online Risk-Averse Planning in POMDPs Using Iterated CVaR Value Function28 Jan 2026
12 newest of 77 All 77 (JSON)