Diminishing Return of Value Expansion Methods in Model-Based Reinforcement Learning
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Abstract (arXiv)
Model-based reinforcement learning is one approach to increase sample efficiency. However, the accuracy of the dynamics model and the resulting compounding error over modelled trajectories are commonly regarded as key limitations. A natural question to ask is: How much more sample efficiency can be gained by improving the learned dynamics models? Our paper empirically answers this question for the class of model-based value expansion methods in continuous control problems. Value expansion methods should benefit from increased model accuracy by enabling longer rollout horizons and better value function approximations. Our empirical study, which leverages oracle dynamics models to avoid compounding model errors, shows that (1) longer horizons increase sample efficiency, but the gain in improvement decreases with each additional expansion step, and (2) the increased model accuracy only marginally increases the sample efficiency compared to learned models with identical horizons. Therefore, longer horizons and increased model accuracy yield diminishing returns in terms of sample efficiency. These improvements in sample efficiency are particularly disappointing when compared to model-free value expansion methods. Even though they introduce no computational overhead, we find their performance to be on-par with model-based value expansion methods. Therefore, we conclude that the limitation of model-based value expansion methods is not the model accuracy of the learned models. While higher model accuracy is beneficial, our experiments show that even a perfect model will not provide an un-rivalled sample efficiency but that the bottleneck lies elsewhere.
Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 36 of its 61 references that are in the map. First posted on arXiv 7 Mar 2023.
Builds on
36 of 61 references.
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Built on by
Citing papers per year: 2023: 1; 2024: 1; 2025: 2; 2026: 1.
5 papers.
- 2025XQC: Well-conditioned Optimization Accelerates Deep Reinforcement Learningcited by 17
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learningcited by 9
- 2024Diminishing Return of Value Expansion Methodscited by 0
- 2025Learn A Flexible Exploration Model for Parameterized Action Markov Decision Processescited by 0
- 2026A Pontryagin Method of Model-based Reinforcement Learning via Hamiltonian Actor-Criticcited by 0
- 2026A Pontryagin Method of Model-based Reinforcement Learning via Hamiltonian Actor-Critic30 Mar 2026
- 2025XQC: Well-conditioned Optimization Accelerates Deep Reinforcement Learning29 Sep 2025
- 2025Learn A Flexible Exploration Model for Parameterized Action Markov Decision Processes6 Jan 2025
- 2024Diminishing Return of Value Expansion Methods29 Dec 2024
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learning10 Oct 2023