TD-M(PC)$^2$: Improving Temporal Difference MPC Through Policy Constraint (2502.03550v1)

Abstract: Model-based reinforcement learning algorithms that combine model-based planning and learned value/policy prior have gained significant recognition for their high data efficiency and superior performance in continuous control. However, we discover that existing methods that rely on standard SAC-style policy iteration for value learning, directly using data generated by the planner, often result in \emph{persistent value overestimation}. Through theoretical analysis and experiments, we argue that this issue is deeply rooted in the structural policy mismatch between the data generation policy that is always bootstrapped by the planner and the learned policy prior. To mitigate such a mismatch in a minimalist way, we propose a policy regularization term reducing out-of-distribution (OOD) queries, thereby improving value learning. Our method involves minimum changes on top of existing frameworks and requires no additional computation. Extensive experiments demonstrate that the proposed approach improves performance over baselines such as TD-MPC2 by large margins, particularly in 61-DoF humanoid tasks. View qualitative results at https://darthutopian.github.io/tdmpc_square/.

• The paper introduces a minimalist policy constraint that mitigates value overestimation in high-dimensional continuous control tasks.
• It rigorously analyzes the policy mismatch between data collection and learning, linking planning-induced errors to systematic overestimation.
• Empirical results demonstrate significant performance gains on tasks like humanoid simulations without extra computational overhead.

Analysis of "TD-M(PC)$^2$: Improving Temporal Difference MPC Through Policy Constraint"

In "TD-M(PC)$^2$: Improving Temporal Difference MPC Through Policy Constraint," the authors investigate critical inefficiencies in model-based reinforcement learning (MBRL) frameworks and propose a policy constraint methodology to enhance the Temporal Difference Model Predictive Control (TD-MPC) framework. The authors identify a persistent value overestimation issue in existing SAC-style policy iteration methods, primarily attributed to a policy mismatch between data collection and learning phases.

Key Contributions

The paper illuminates the structural limitations inherent in TD-MPC frameworks, primarily focusing on:

1. Value Overestimation: By examining high-dimensional continuous control tasks, the paper identifies significant overestimation errors in value evaluations within the TD-MPC2 framework, especially in high degrees-of-freedom (DoF) tasks such as humanoid robot simulations. These errors are amplified by the disparities between the planner-governed data collection policy and the learned policy priors.
2. Theoretical Analysis: Through rigorous theoretical underpinnings, the authors link the observed value overestimation to structural policy mismatches. They demonstrate that planning procedures introduce compounded errors over iterations, with approximation errors becoming increasingly pronounced across training cycles. Thus, value and policy priors significantly reconcile discrepancies only when effectively managed.
3. Proposed Methodology: TD-M(PC)$^2$ introduces a policy regularization term within the TD-MPC framework, effectively mitigating out-of-distribution (OOD) query-related errors. This minimalist and computation-efficient modification conservatively regularizes the policy update, enhancing alignment between the data generation and policy learning processes.

Empirical Validation

Extensive experiments confirm that the TD-M(PC)$^2$ framework surpasses existing baselines such as TD-MPC2 in performance across different high-dimensional tasks. Notably, the proposed framework demonstrates substantial performance improvements in tasks like 61-DoF humanoid simulations, affirming the impact of reducing policy mismatches on value estimation accuracy.

1. Benchmarking with Existing Frameworks: By contrasting with state-of-the-art algorithms like DreamerV3 and SAC, the new approach underscores its adaptability and efficacy in managing high-dimensional DoFs with minimal computational overhead.
2. Robustness and Efficiency: Without environment-specific hyperparameter tuning or additional computational costs, the proposed framework scales seamlessly across complex dynamic environments, evidencing marked improvements in robustness and execution efficacy.

Implications and Future Work

The research provides several notable implications for both practical implementations and future theoretical explorations in MBRL:

• Increased Sample Efficiency: Addressing policy mismatches will markedly improve sample efficiency, a longstanding challenge in reinforcement learning, thus enabling more practical applications in real-world scenarios, such as robotics and autonomous systems.
• Foundation for Further Exploration: The minimalist approach of TD-M(PC)$^2$ could be expanded upon, serving as a foundation for embedding more intricate adjustments or modifications aimed at addressing corner cases or highly specific application demands.

Conclusion

The TD-M(PC)$^2$ paper offers a concise and effective resolution to prevalent discrepancies in value estimation and policy alignment within MBRL frameworks. By addressing core issues in data-policy mismatch, it paves the way for more reliable and scalable model-based planning systems, significantly enhancing the fidelity of high-dimensional continuous control tasks. Future research building on this work should delve into deeper integration with diverse planning schemes and potentially broader classes of policy improvement algorithms to bolster both theoretical insights and practical implementations.