Methods › Reinforcement Learning › Board Game Models › MuZero
MuZero
Introduced by Julian Schrittwieser et al. in Mastering Atari, Go, Chess and Shogi by Planning with a Learned Model
archive 2025-07-28 Description, source and code snippet are the archive's method entry.
MuZero is a model-based reinforcement learning algorithm. It builds upon AlphaZero's search and search-based policy iteration algorithms, but incorporates a learned model into the training procedure.
The main idea of the algorithm is to predict those aspects of the future that are directly relevant for planning. The model receives the observation (e.g. an image of the Go board or the Atari screen) as an input and transforms it into a hidden state. The hidden state is then updated iteratively by a recurrent process that receives the previous hidden state and a hypothetical next action. At every one of these steps the model predicts the policy (e.g. the move to play), value function (e.g. the predicted winner), and immediate reward (e.g. the points scored by playing a move). The model is trained end-to-end, with the sole objective of accurately estimating these three important quantities, so as to match the improved estimates of policy and value generated by search as well as the observed reward.
There is no direct constraint or requirement for the hidden state to capture all information necessary to reconstruct the original observation, drastically reducing the amount of information the model has to maintain and predict; nor is there any requirement for the hidden state to match the unknown, true state of the environment; nor any other constraints on the semantics of state. Instead, the hidden states are free to represent state in whatever way is relevant to predicting current and future values and policies. Intuitively, the agent can invent, internally, the rules or dynamics that lead to most accurate planning.
Papers archive 2025-07-28
30 shown of 46, newest first. Repository counts are the archive's code-links table. A Syntology line states what Syntology ran from that paper's harvested code; it is per sample and not a correctness claim.
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Calibrated Value-Aware Model Learning with Stochastic Environment Models 28 May 2025 · 0 repositories · arXiv:2505.22772
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OptionZero: Planning with Learned Options 23 Feb 2025 · 1 repository · arXiv:2502.16634Syntology ran 7 of 8 samples · 1 unverified · 8 pointer-only (licence)
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Reinforcement Learning in Strategy-Based and Atari Games: A Review of Google DeepMinds Innovations 14 Feb 2025 · 0 repositories · arXiv:2502.10303
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Evaluating World Models with LLM for Decision Making 13 Nov 2024 · 0 repositories · arXiv:2411.08794
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Evaluating Robustness of Reinforcement Learning Algorithms for Autonomous Shipping 7 Nov 2024 · 0 repositories · arXiv:2411.04915
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Interpreting the Learned Model in MuZero Planning 7 Nov 2024 · 0 repositories · arXiv:2411.04580
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Combining AI Control Systems and Human Decision Support via Robustness and Criticality 3 Jul 2024 · 0 repositories · arXiv:2407.03210
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Efficient Monte Carlo Tree Search via On-the-Fly State-Conditioned Action Abstraction 2 Jun 2024 · 1 repository · arXiv:2406.00614
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Efficient Multi-agent Reinforcement Learning by Planning 20 May 2024 · 1 repository · arXiv:2405.11778
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ReZero: Boosting MCTS-based Algorithms by Backward-view and Entire-buffer Reanalyze 25 Apr 2024 · 1 repository · arXiv:2404.16364
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MiniZero: Comparative Analysis of AlphaZero and MuZero on Go, Othello, and Atari Games 17 Oct 2023 · 1 repository · arXiv:2310.11305Syntology ran 6 of 7 samples · 1 unverified
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Accelerating Monte Carlo Tree Search with Probability Tree State Abstraction 10 Oct 2023 · 0 repositories · arXiv:2310.06513
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Self-Predictive Universal AI 21 Sep 2023 · 0 repositories
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AlphaStar Unplugged: Large-Scale Offline Reinforcement Learning 7 Aug 2023 · 1 repository · arXiv:2308.03526Syntology ran 4 of 4 samples · 0 unverified
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λ-models: Effective Decision-Aware Reinforcement Learning with Latent Models 30 Jun 2023 · 0 repositories · arXiv:2306.17366
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What model does MuZero learn? 1 Jun 2023 · 0 repositories · arXiv:2306.00840
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Model Predictive Control with Self-supervised Representation Learning 14 Apr 2023 · 1 repository · arXiv:2304.07219
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Equivariant MuZero 9 Feb 2023 · 0 repositories · arXiv:2302.04798
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Epistemic Monte Carlo Tree Search 21 Oct 2022 · 0 repositories · arXiv:2210.13455
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Efficient Offline Policy Optimization with a Learned Model 12 Oct 2022 · 1 repository · arXiv:2210.05980
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Human-level Atari 200x faster 15 Sep 2022 · 1 repository · arXiv:2209.07550Syntology ran 1 of 3 samples · 2 unverified
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Transformers are Sample-Efficient World Models 1 Sep 2022 · 2 repositories · arXiv:2209.00588Syntology ran 17 of 26 samples · 9 unverified · 26 pointer-only (licence)
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An AlphaZero-Inspired Approach to Solving Search Problems 2 Jul 2022 · 0 repositories · arXiv:2207.00919
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Impartial Games: A Challenge for Reinforcement Learning 25 May 2022 · 1 repository · arXiv:2205.12787
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Towards Evaluating Adaptivity of Model-Based Reinforcement Learning Methods 25 Apr 2022 · 1 repository · arXiv:2204.11464
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Reward Reports for Reinforcement Learning 22 Apr 2022 · 1 repository · arXiv:2204.10817
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MuZero with Self-competition for Rate Control in VP9 Video Compression 14 Feb 2022 · 0 repositories · arXiv:2202.06626
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Procedural Generalization by Planning with Self-Supervised World Models 2 Nov 2021 · 0 repositories · arXiv:2111.01587
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Mastering Atari Games with Limited Data 30 Oct 2021 · 3 repositories · arXiv:2111.00210Syntology ran 2 of 3 samples · 1 unverified
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Planning in Stochastic Environments with a Learned Model 29 Sep 2021 · 2 repositories
Tasks archive 2025-07-28
20 shown of 38 tasks the archive attaches to papers tagged with this method, by distinct papers. A task without a page in the catalog is plain text.
Usage over time archive 2025-07-28
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Categories archive 2025-07-28
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