Bisimulation metric for Model Predictive Control
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Abstract (arXiv)
Model-based reinforcement learning has shown promise for improving sample efficiency and decision-making in complex environments. However, existing methods face challenges in training stability, robustness to noise, and computational efficiency. In this paper, we propose Bisimulation Metric for Model Predictive Control (BS-MPC), a novel approach that incorporates bisimulation metric loss in its objective function to directly optimize the encoder. This time-step-wise direct optimization enables the learned encoder to extract intrinsic information from the original state space while discarding irrelevant details and preventing the gradients and errors from diverging. BS-MPC improves training stability, robustness against input noise, and computational efficiency by reducing training time. We evaluate BS-MPC on both continuous control and image-based tasks from the DeepMind Control Suite, demonstrating superior performance and robustness compared to state-of-the-art baseline methods.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 33 of its 48 references that are in the map. First posted on arXiv 6 Oct 2024.
Builds on
33 of 48 references.
References · 33
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21 more
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Built on by
Citing papers per year: 2025: 2; 2026: 4.
6 papers.
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- 2025Offline Goal-Conditioned Reinforcement Learning with Projective Quasimetric Planningcited by 5
- 2026Diagnosing JEPA World Models with Action-Conditioned Predictive Consistencycited by 2
- 2025A Theoretical Analysis of State Similarity Between Markov Decision Processescited by 0
- 2026Adaptive Linear Path Model-Based Diffusioncited by 0
- 2026Scaling World-Model Reinforcement Learning Through Diffusion Policy Optimizationcited by 0
- 2026Diagnosing JEPA World Models with Action-Conditioned Predictive Consistency13 Aug 2026
- 2026Scaling World-Model Reinforcement Learning Through Diffusion Policy Optimization25 May 2026
- 2026Learning Invariant Visual Representations for Planning with Joint-Embedding Predictive World Models20 Feb 2026
- 2026Adaptive Linear Path Model-Based Diffusion2 Feb 2026
- 2025A Theoretical Analysis of State Similarity Between Markov Decision Processes19 Dec 2025
- 2025Offline Goal-Conditioned Reinforcement Learning with Projective Quasimetric Planning23 Jun 2025