Information Theoretic Model Predictive Q-Learning
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Abstract (arXiv)
Model-free Reinforcement Learning (RL) works well when experience can be collected cheaply and model-based RL is effective when system dynamics can be modeled accurately. However, both assumptions can be violated in real world problems such as robotics, where querying the system can be expensive and real-world dynamics can be difficult to model. In contrast to RL, Model Predictive Control (MPC) algorithms use a simulator to optimize a simple policy class online, constructing a closed-loop controller that can effectively contend with real-world dynamics. MPC performance is usually limited by factors such as model bias and the limited horizon of optimization. In this work, we present a novel theoretical connection between information theoretic MPC and entropy regularized RL and develop a Q-learning algorithm that can leverage biased models. We validate the proposed algorithm on sim-to-sim control tasks to demonstrate the improvements over optimal control and reinforcement learning from scratch. Our approach paves the way for deploying reinforcement learning algorithms on real systems in a systematic manner.
Key facts. Cited by 16 papers in the map (data through 7 Oct 2026). First posted on arXiv 31 Dec 2019.
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Citing papers per year: 2021: 4; 2022: 5; 2023: 1; 2024: 3; 2025: 2; 2026: 1.
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- 2022Temporal Difference Learning for Model Predictive Controlcited by 375
- 2021Learning and Planning in Complex Action Spacescited by 76
- 2021Model Predictive Actor-Critic: Accelerating Robot Skill Acquisition with Deep Reinforcement Learningcited by 25
- 2021Example-Driven Model-Based Reinforcement Learning for Solving Long-Horizon Visuomotor Taskscited by 12
- 2022Learning Sampling Distributions for Model Predictive Controlcited by 10
- 2022Learning to Optimize in Model Predictive Controlcited by 10
- 2021The Value of Planning for Infinite-Horizon Model Predictive Controlcited by 8
- 2023Deep Model Predictive Optimizationcited by 7
- 2024Model-based Reinforcement Learning for Parameterized Action Spacescited by 7
- 2022Continuous Monte Carlo Graph Searchcited by 4
- 2024CoVO-MPC: Theoretical Analysis of Sampling-based MPC and Optimal Covariance Designcited by 3
- 2025Model Predictive Adversarial Imitation Learning for Planning from Observationcited by 2
4 more
- 2022Model-Free Characterizations of the Hamilton-Jacobi-Bellman Equation and Convex Q-Learning in Continuous Timecited by 0
- 2024Goal-Conditioned Terminal Value Estimation for Real-time and Multi-task Model Predictive Controlcited by 0
- 2025Learning to Plan, Planning to Learn: Adaptive Hierarchical RL-MPC for Sample-Efficient Decision Makingcited by 0
- 2026Soft MPCritic: Amortized Model Predictive Value Iterationcited by 0
- 2026Soft MPCritic: Amortized Model Predictive Value Iteration1 Apr 2026
- 2025Learning to Plan, Planning to Learn: Adaptive Hierarchical RL-MPC for Sample-Efficient Decision Making18 Dec 2025
- 2025Model Predictive Adversarial Imitation Learning for Planning from Observation29 Jul 2025
- 2024Goal-Conditioned Terminal Value Estimation for Real-time and Multi-task Model Predictive Control7 Oct 2024
- 2024Model-based Reinforcement Learning for Parameterized Action Spaces3 Apr 2024
- 2024CoVO-MPC: Theoretical Analysis of Sampling-based MPC and Optimal Covariance Design14 Jan 2024
- 2023Deep Model Predictive Optimization6 Oct 2023
- 2022Learning to Optimize in Model Predictive Control5 Dec 2022
- 2022Learning Sampling Distributions for Model Predictive Control5 Dec 2022
- 2022Model-Free Characterizations of the Hamilton-Jacobi-Bellman Equation and Convex Q-Learning in Continuous Time14 Oct 2022
- 2022Continuous Monte Carlo Graph Search4 Oct 2022
- 2022Temporal Difference Learning for Model Predictive Control9 Mar 2022
4 more
- 2021Example-Driven Model-Based Reinforcement Learning for Solving Long-Horizon Visuomotor Tasks21 Sep 2021
- 2021Learning and Planning in Complex Action Spaces13 Apr 2021
- 2021The Value of Planning for Infinite-Horizon Model Predictive Control7 Apr 2021
- 2021Model Predictive Actor-Critic: Accelerating Robot Skill Acquisition with Deep Reinforcement Learning25 Mar 2021
- 2022Temporal Difference Learning for Model Predictive Controlcited by 375
- 2021Learning and Planning in Complex Action Spacescited by 76
- 2021Model Predictive Actor-Critic: Accelerating Robot Skill Acquisition with Deep Reinforcement Learningcited by 25
- 2021Example-Driven Model-Based Reinforcement Learning for Solving Long-Horizon Visuomotor Taskscited by 12
- 2022Learning Sampling Distributions for Model Predictive Controlcited by 10
- 2022Learning to Optimize in Model Predictive Controlcited by 10
- 2021The Value of Planning for Infinite-Horizon Model Predictive Controlcited by 8
- 2023Deep Model Predictive Optimizationcited by 7
- 2024Model-based Reinforcement Learning for Parameterized Action Spacescited by 7
- 2022Continuous Monte Carlo Graph Searchcited by 4
- 2024CoVO-MPC: Theoretical Analysis of Sampling-based MPC and Optimal Covariance Designcited by 3
- 2022Model-Free Characterizations of the Hamilton-Jacobi-Bellman Equation and Convex Q-Learning in Continuous Timecited by 0
- 2024Goal-Conditioned Terminal Value Estimation for Real-time and Multi-task Model Predictive Controlcited by 0
12 most cited of 14 All 14 (JSON)
- 2026Soft MPCritic: Amortized Model Predictive Value Iteration1 Apr 2026
- 2025Learning to Plan, Planning to Learn: Adaptive Hierarchical RL-MPC for Sample-Efficient Decision Making18 Dec 2025
- 2024Goal-Conditioned Terminal Value Estimation for Real-time and Multi-task Model Predictive Control7 Oct 2024
- 2024Model-based Reinforcement Learning for Parameterized Action Spaces3 Apr 2024
- 2024CoVO-MPC: Theoretical Analysis of Sampling-based MPC and Optimal Covariance Design14 Jan 2024
- 2023Deep Model Predictive Optimization6 Oct 2023
- 2022Learning to Optimize in Model Predictive Control5 Dec 2022
- 2022Learning Sampling Distributions for Model Predictive Control5 Dec 2022
- 2022Model-Free Characterizations of the Hamilton-Jacobi-Bellman Equation and Convex Q-Learning in Continuous Time14 Oct 2022
- 2022Continuous Monte Carlo Graph Search4 Oct 2022
- 2021Example-Driven Model-Based Reinforcement Learning for Solving Long-Horizon Visuomotor Tasks21 Sep 2021
- 2021Learning and Planning in Complex Action Spaces13 Apr 2021
12 newest of 14 All 14 (JSON)