BetaZero: Belief-State Planning for Long-Horizon POMDPs using Learned Approximations
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Abstract (arXiv)
Real-world planning problems, including autonomous driving and sustainable energy applications like carbon storage and resource exploration, have recently been modeled as partially observable Markov decision processes (POMDPs) and solved using approximate methods. To solve high-dimensional POMDPs in practice, state-of-the-art methods use online planning with problem-specific heuristics to reduce planning horizons and make the problems tractable. Algorithms that learn approximations to replace heuristics have recently found success in large-scale fully observable domains. The key insight is the combination of online Monte Carlo tree search with offline neural network approximations of the optimal policy and value function. In this work, we bring this insight to partially observable domains and propose BetaZero, a belief-state planning algorithm for high-dimensional POMDPs. BetaZero learns offline approximations that replace heuristics to enable online decision making in long-horizon problems. We address several challenges inherent in large-scale partially observable domains; namely challenges of transitioning in stochastic environments, prioritizing action branching with a limited search budget, and representing beliefs as input to the network. To formalize the use of all limited search information, we train against a novel Q-weighted visit counts policy. We test BetaZero on various well-established POMDP benchmarks found in the literature and a real-world problem of critical mineral exploration. Experiments show that BetaZero outperforms state-of-the-art POMDP solvers on a variety of tasks.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). Builds on 25 of its 71 references that are in the map. First posted on arXiv 31 May 2023.
Builds on
25 of 71 references.
References · 25
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13 more
- 2021Vector Quantized Models for Planningcited by 47
- 2021Return-based Scaling: Yet Another Normalisation Trick for Deep RLcited by 22
- 2022Optimality Guarantees for Particle Belief Approximation of POMDPscited by 20
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- 2022Flow-based Recurrent Belief State Learning for POMDPscited by 16
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Citing papers per year: 2023: 1; 2024: 2; 2025: 4; 2026: 6.
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- 2024ConstrainedZero: Chance-Constrained POMDP Planning using Learned Probabilistic Failure Surrogates and Adaptive Safety Constraintscited by 7
- 2024Learning Online Belief Prediction for Efficient POMDP Planning in Autonomous Drivingcited by 5
- 2023Constrained Hierarchical Monte Carlo Belief-State Planningcited by 1
- 2025Quantum Bayesian Networks Can Speed up Reinforcement Learning in Partially Observable Environmentscited by 1
- 2025Action-Gradient Monte Carlo Tree Search for Non-Parametric Continuous (PO)MDPscited by 0
- 2025GammaZero: Learning To Guide POMDP Belief Space Search With Graph Representationscited by 0
- 2025Neural Value Iterationcited by 0
- 2026POMDPPlanners: Open-Source Package for POMDP Planningcited by 0
- 2026SkyNet: Belief-Aware Planning for Partially-Observable Stochastic Gamescited by 0
- 2026Adaptive mine planning under geological uncertainty: A POMDP framework for sequential decision-makingcited by 0
- 2026VOiLA: Vectorized Online Planning with Learned Diffusion Models for POMDP Agentscited by 0
- 2026REBA: A Revealed Belief Automaton Framework for Online Planning in Continuous POMDPscited by 0
1 more
- 2026Adaptive Mixing of Policies from Searching and Policies from Learning16 Aug 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
- 2026Adaptive mine planning under geological uncertainty: A POMDP framework for sequential decision-making13 May 2026
- 2026SkyNet: Belief-Aware Planning for Partially-Observable Stochastic Games29 Mar 2026
- 2026POMDPPlanners: Open-Source Package for POMDP Planning24 Feb 2026
- 2025Neural Value Iteration11 Nov 2025
- 2025GammaZero: Learning To Guide POMDP Belief Space Search With Graph Representations15 Oct 2025
- 2025Quantum Bayesian Networks Can Speed up Reinforcement Learning in Partially Observable Environments24 Jul 2025
- 2025Action-Gradient Monte Carlo Tree Search for Non-Parametric Continuous (PO)MDPs15 Mar 2025
- 2024ConstrainedZero: Chance-Constrained POMDP Planning using Learned Probabilistic Failure Surrogates and Adaptive Safety Constraints1 May 2024
- 2024Learning Online Belief Prediction for Efficient POMDP Planning in Autonomous Driving27 Jan 2024
1 more
- 2023Constrained Hierarchical Monte Carlo Belief-State Planning30 Oct 2023
- 2024ConstrainedZero: Chance-Constrained POMDP Planning using Learned Probabilistic Failure Surrogates and Adaptive Safety Constraintscited by 7
- 2023Constrained Hierarchical Monte Carlo Belief-State Planningcited by 1
- 2025Quantum Bayesian Networks Can Speed up Reinforcement Learning in Partially Observable Environmentscited by 1
- 2025Action-Gradient Monte Carlo Tree Search for Non-Parametric Continuous (PO)MDPscited by 0
- 2025GammaZero: Learning To Guide POMDP Belief Space Search With Graph Representationscited by 0
- 2025Neural Value Iterationcited by 0
- 2026POMDPPlanners: Open-Source Package for POMDP Planningcited by 0
- 2026SkyNet: Belief-Aware Planning for Partially-Observable Stochastic Gamescited by 0
- 2026Adaptive mine planning under geological uncertainty: A POMDP framework for sequential decision-makingcited by 0
- 2026REBA: A Revealed Belief Automaton Framework for Online Planning in Continuous POMDPscited by 0
- 2026Adaptive Mixing of Policies from Searching and Policies from Learningcited by 0
- 2026Adaptive Mixing of Policies from Searching and Policies from Learning16 Aug 2026
- 2026REBA: A Revealed Belief Automaton Framework for Online Planning in Continuous POMDPs20 Jun 2026
- 2026Adaptive mine planning under geological uncertainty: A POMDP framework for sequential decision-making13 May 2026
- 2026SkyNet: Belief-Aware Planning for Partially-Observable Stochastic Games29 Mar 2026
- 2026POMDPPlanners: Open-Source Package for POMDP Planning24 Feb 2026
- 2025Neural Value Iteration11 Nov 2025
- 2025GammaZero: Learning To Guide POMDP Belief Space Search With Graph Representations15 Oct 2025
- 2025Quantum Bayesian Networks Can Speed up Reinforcement Learning in Partially Observable Environments24 Jul 2025
- 2025Action-Gradient Monte Carlo Tree Search for Non-Parametric Continuous (PO)MDPs15 Mar 2025
- 2024ConstrainedZero: Chance-Constrained POMDP Planning using Learned Probabilistic Failure Surrogates and Adaptive Safety Constraints1 May 2024
- 2023Constrained Hierarchical Monte Carlo Belief-State Planning30 Oct 2023