Plan Online, Learn Offline: Efficient Learning and Exploration via Model-Based Control
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Abstract (arXiv)
We propose a plan online and learn offline (POLO) framework for the setting where an agent, with an internal model, needs to continually act and learn in the world. Our work builds on the synergistic relationship between local model-based control, global value function learning, and exploration. We study how local trajectory optimization can cope with approximation errors in the value function, and can stabilize and accelerate value function learning. Conversely, we also study how approximate value functions can help reduce the planning horizon and allow for better policies beyond local solutions. Finally, we also demonstrate how trajectory optimization can be used to perform temporally coordinated exploration in conjunction with estimating uncertainty in value function approximation. This exploration is critical for fast and stable learning of the value function. Combining these components enable solutions to complex simulated control tasks, like humanoid locomotion and dexterous in-hand manipulation, in the equivalent of a few minutes of experience in the real world.
Key facts. Cited by 104 papers in the map (data through 7 Oct 2026). First posted on arXiv 5 Nov 2018.
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Citing papers per year: 2020: 2; 2021: 28; 2022: 20; 2023: 13; 2024: 15; 2025: 18; 2026: 8.
104 papers.
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- 2020MOReL : Model-Based Offline Reinforcement Learningcited by 582
- 2022Temporal Difference Learning for Model Predictive Controlcited by 375
- 2021COMBO: Conservative Offline Model-Based Policy Optimizationcited by 365
- 2022Tutorial on amortized optimizationcited by 83
- 2022Dexterous Imitation Made Easy: A Learning-Based Framework for Efficient Dexterous Manipulationcited by 75
- 2023Dexterity from Touch: Self-Supervised Pre-Training of Tactile Representations with Robotic Playcited by 60
- 2021Plan Better Amid Conservatism: Offline Multi-Agent Reinforcement Learning with Actor Rectificationcited by 59
- 2022Skill-based Model-based Reinforcement Learningcited by 50
- 2021MobILE: Model-Based Imitation Learning From Observation Alonecited by 44
- 2021MBRL-Lib: A Modular Library for Model-based Reinforcement Learningcited by 41
- 2021Model-Based Offline Planning with Trajectory Pruningcited by 30
- 2022Learning Dexterous Manipulation from Exemplar Object Trajectories and Pre-Graspscited by 27
38 more
- 2022The Challenges of Exploration for Offline Reinforcement Learningcited by 26
- 2021Model Predictive Actor-Critic: Accelerating Robot Skill Acquisition with Deep Reinforcement Learningcited by 25
- 2021Value Function Spaces: Skill-Centric State Abstractions for Long-Horizon Reasoningcited by 25
- 2021Behavioral Priors and Dynamics Models: Improving Performance and Domain Transfer in Offline RLcited by 24
- 2021UMBRELLA: Uncertainty-Aware Model-Based Offline Reinforcement Learning Leveraging Planningcited by 23
- 2023ALAN: Autonomously Exploring Robotic Agents in the Real Worldcited by 23
- 2021Where to go next: Learning a Subgoal Recommendation Policy for Navigation Among Pedestrianscited by 20
- 2022Mastering the Unsupervised Reinforcement Learning Benchmark from Pixelscited by 20
- 2023Efficient Preference-Based Reinforcement Learning Using Learned Dynamics Modelscited by 20
- 2022BayesFormer: Transformer with Uncertainty Estimationcited by 19
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classificationcited by 19
- 2021Collect & Infer -- a fresh look at data-efficient Reinforcement Learningcited by 17
- 2022Cross-Domain Transfer via Semantic Skill Imitationcited by 17
- 2021Learn Goal-Conditioned Policy with Intrinsic Motivation for Deep Reinforcement Learningcited by 15
- 2021Evaluating model-based planning and planner amortization for continuous controlcited by 15
- 2025Horizon Generalization in Reinforcement Learningcited by 15
- 2021Is Curiosity All You Need? On the Utility of Emergent Behaviours from Curious Explorationcited by 14
- 2023COPlanner: Plan to Roll Out Conservatively but to Explore Optimistically for Model-Based RLcited by 14
- 2025Bootstrapped Model Predictive Controlcited by 13
- 2021Optimal Cost Design for Model Predictive Controlcited by 12
- 2022Generative Planning for Temporally Coordinated Exploration in Reinforcement Learningcited by 10
- 2022Learning Sampling Distributions for Model Predictive Controlcited by 10
- 2022Learning to Optimize in Model Predictive Controlcited by 10
- 2023Efficient Dynamics Modeling in Interactive Environments with Koopman Theorycited by 10
- 2021Reinforcement Learning of the Prediction Horizon in Model Predictive Controlcited by 9
- 2021LS3: Latent Space Safe Sets for Long-Horizon Visuomotor Control of Sparse Reward Iterative Taskscited by 9
- 2022S2P: State-conditioned Image Synthesis for Data Augmentation in Offline Reinforcement Learningcited by 9
- 2025BodyGen: Advancing Towards Efficient Embodiment Co-Designcited by 9
- 2021The Value of Planning for Infinite-Horizon Model Predictive Controlcited by 8
- 2021Continuous Control With Ensemble Deep Deterministic Policy Gradientscited by 8
- 2022EUCLID: Towards Efficient Unsupervised Reinforcement Learning with Multi-choice Dynamics Modelcited by 8
- 2021Optimization of the Model Predictive Control Meta-Parameters Through Reinforcement Learningcited by 7
- 2023What model does MuZero learn?cited by 7
- 2023Deep Model Predictive Optimizationcited by 7
- 2024Model-based Reinforcement Learning for Parameterized Action Spacescited by 7
- 2021Safe Model-based Off-policy Reinforcement Learning for Eco-Driving in Connected and Automated Hybrid Electric Vehiclescited by 6
- 2021Model-Value Inconsistency as a Signal for Epistemic Uncertaintycited by 6
- 2022Learning Forward Dynamics Model and Informed Trajectory Sampler for Safe Quadruped Navigationcited by 6
50 most cited of 104 All 104 (JSON)
- 2026Guided Riemannian Optimization (GuRO): Bridging Model Predictive Control and Decision Transformers24 Aug 2026
- 2026Amortising Trajectory Optimisation for Residual MPC via Implicit Contact Differentiation27 Jul 2026
- 2026Hierarchical Decision Making with Structured Policies: A Principled Design via Inverse Optimization27 Jun 2026
- 2026ELVIS: Ensemble-Calibrated Latent Imagination for Long-Horizon Visual MPC6 May 2026
- 2026Dream-MPC: Gradient-Based Model Predictive Control with Latent Imagination6 May 2026
- 2026PriPG-RL: Privileged Planner-Guided Reinforcement Learning for Partially Observable Systems with Anytime-Feasible MPC9 Apr 2026
- 2026WIMLE: Uncertainty-Aware World Models with IMLE for Sample-Efficient Continuous Control15 Feb 2026
- 2026The Surprising Difficulty of Search in Model-Based Reinforcement Learning29 Jan 2026
- 2025Bridging Lifelong and Multi-Task Representation Learning via Algorithm and Complexity Measure3 Nov 2025
- 2025Bootstrap Off-policy with World Model1 Nov 2025
- 2025Generative Models From and For Sampling-Based MPC: A Bootstrapped Approach For Adaptive Contact-Rich Manipulation16 Oct 2025
- 2025Safe and Near-Optimal Control with Online Dynamics Learning20 Sep 2025
38 more
- 2025Grasp-MPC: Closed-Loop Visual Grasping via Value-Guided Model Predictive Control7 Sep 2025
- 2025Model Predictive Adversarial Imitation Learning for Planning from Observation29 Jul 2025
- 2025Model-free Reinforcement Learning for Model-based Control: Towards Safe, Interpretable and Sample-efficient Agents17 Jul 2025
- 2025Q-Guided Stein Variational Model Predictive Control via RL-informed Policy Prior9 Jul 2025
- 2025Investigating Lagrangian Neural Networks for Infinite Horizon Planning in Quadrupedal Locomotion19 Jun 2025
- 2025Reflect-then-Plan: Offline Model-Based Planning through a Doubly Bayesian Lens6 Jun 2025
- 2025Bootstrapped Model Predictive Control24 Mar 2025
- 2025Knowledge Retention for Continual Model-Based Reinforcement Learning6 Mar 2025
- 2025BodyGen: Advancing Towards Efficient Embodiment Co-Design1 Mar 2025
- 2025Test-Time Alignment for Large Language Models via Textual Model Predictive Control28 Feb 2025
- 2025Offline Reinforcement Learning via Inverse Optimization27 Feb 2025
- 2025Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classification4 Feb 2025
- 2025Data-driven inventory management for new products: An adjusted Dyna-Q approach with transfer learning14 Jan 2025
- 2025Horizon Generalization in Reinforcement Learning6 Jan 2025
- 2024M3PC: Test-time Model Predictive Control for Pretrained Masked Trajectory Model7 Dec 2024
- 2024Dynamic Non-Prehensile Object Transport via Model-Predictive Reinforcement Learning27 Nov 2024
- 2024Learning World Models for Unconstrained Goal Navigation3 Nov 2024
- 2024SAMG: Offline-to-Online Reinforcement Learning via State-Action-Conditional Offline Model Guidance24 Oct 2024
- 2024Goal-Conditioned Terminal Value Estimation for Real-time and Multi-task Model Predictive Control7 Oct 2024
- 2024A novel agent with formal goal-reaching guarantees: an experimental study with a mobile robot23 Sep 2024
- 2024Critic as Lyapunov function (CALF): a model-free, stability-ensuring agent15 Sep 2024
- 2024An Empirical Study on the Computation Budget of Co-Optimization of Robot Design and Control in Simulation13 Sep 2024
- 2024ProSpec RL: Plan Ahead, then Execute31 Jul 2024
- 2024World Models with Hints of Large Language Models for Goal Achieving11 Jun 2024
- 2024AC4MPC: Actor-Critic Reinforcement Learning for Nonlinear Model Predictive Control6 Jun 2024
- 2024Safe Deep Model-Based Reinforcement Learning with Lyapunov Functions25 May 2024
- 2024Offline Trajectory Optimization for Offline Reinforcement Learning16 Apr 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
- 2023On Task-Relevant Loss Functions in Meta-Reinforcement Learning and Online LQR9 Dec 2023
- 2023Goal-conditioned Offline Planning from Curious Exploration28 Nov 2023
- 2023COPlanner: Plan to Roll Out Conservatively but to Explore Optimistically for Model-Based RL11 Oct 2023
- 2023Deep Model Predictive Optimization6 Oct 2023
- 2023Learning the References of Online Model Predictive Control for Urban Self-Driving30 Aug 2023
- 2023Combining model-predictive control and predictive reinforcement learning for stable quadrupedal robot locomotion15 Jul 2023
- 2023GP-guided MPPI for Efficient Navigation in Complex Unknown Cluttered Environments8 Jul 2023
- 2023Efficient Dynamics Modeling in Interactive Environments with Koopman Theory20 Jun 2023
- 2023What model does MuZero learn?1 Jun 2023
50 newest of 104 All 104 (JSON)
- 2020MOReL : Model-Based Offline Reinforcement Learningcited by 582
- 2021COMBO: Conservative Offline Model-Based Policy Optimizationcited by 365
- 2022Dexterous Imitation Made Easy: A Learning-Based Framework for Efficient Dexterous Manipulationcited by 75
- 2021Plan Better Amid Conservatism: Offline Multi-Agent Reinforcement Learning with Actor Rectificationcited by 59
- 2021MobILE: Model-Based Imitation Learning From Observation Alonecited by 44
- 2021Model-Based Offline Planning with Trajectory Pruningcited by 30
- 2022The Challenges of Exploration for Offline Reinforcement Learningcited by 26
- 2021Behavioral Priors and Dynamics Models: Improving Performance and Domain Transfer in Offline RLcited by 24
- 2021UMBRELLA: Uncertainty-Aware Model-Based Offline Reinforcement Learning Leveraging Planningcited by 23
- 2022S2P: State-conditioned Image Synthesis for Data Augmentation in Offline Reinforcement Learningcited by 9
- 2025Reflect-then-Plan: Offline Model-Based Planning through a Doubly Bayesian Lenscited by 4
- 2021DROMO: Distributionally Robust Offline Model-based Policy Optimizationcited by 3
12 most cited of 19 All 19 (JSON)
- 2026Guided Riemannian Optimization (GuRO): Bridging Model Predictive Control and Decision Transformers24 Aug 2026
- 2025Model Predictive Adversarial Imitation Learning for Planning from Observation29 Jul 2025
- 2025Reflect-then-Plan: Offline Model-Based Planning through a Doubly Bayesian Lens6 Jun 2025
- 2025Offline Reinforcement Learning via Inverse Optimization27 Feb 2025
- 2024M3PC: Test-time Model Predictive Control for Pretrained Masked Trajectory Model7 Dec 2024
- 2024SAMG: Offline-to-Online Reinforcement Learning via State-Action-Conditional Offline Model Guidance24 Oct 2024
- 2024Offline Trajectory Optimization for Offline Reinforcement Learning16 Apr 2024
- 2022S2P: State-conditioned Image Synthesis for Data Augmentation in Offline Reinforcement Learning30 Sep 2022
- 2022Dexterous Imitation Made Easy: A Learning-Based Framework for Efficient Dexterous Manipulation24 Mar 2022
- 2022The Challenges of Exploration for Offline Reinforcement Learning27 Jan 2022
- 2021Plan Better Amid Conservatism: Offline Multi-Agent Reinforcement Learning with Actor Rectification22 Nov 2021
- 2021UMBRELLA: Uncertainty-Aware Model-Based Offline Reinforcement Learning Leveraging Planning22 Nov 2021
12 newest of 19 All 19 (JSON)
- 2022Temporal Difference Learning for Model Predictive Controlcited by 375
- 2024World Models with Hints of Large Language Models for Goal Achievingcited by 6
- 2024Learning World Models for Unconstrained Goal Navigationcited by 6
- 2025Knowledge Retention for Continual Model-Based Reinforcement Learningcited by 6
- 2025Bootstrap Off-policy with World Modelcited by 6
- 2026WIMLE: Uncertainty-Aware World Models with IMLE for Sample-Efficient Continuous Controlcited by 3
- 2026WIMLE: Uncertainty-Aware World Models with IMLE for Sample-Efficient Continuous Control15 Feb 2026
- 2025Bootstrap Off-policy with World Model1 Nov 2025
- 2025Knowledge Retention for Continual Model-Based Reinforcement Learning6 Mar 2025
- 2024Learning World Models for Unconstrained Goal Navigation3 Nov 2024
- 2024World Models with Hints of Large Language Models for Goal Achieving11 Jun 2024
- 2022Temporal Difference Learning for Model Predictive Control9 Mar 2022
- 2022Tutorial on amortized optimizationcited by 83
- 2023Dexterity from Touch: Self-Supervised Pre-Training of Tactile Representations with Robotic Playcited by 60
- 2022Skill-based Model-based Reinforcement Learningcited by 50
- 2021MBRL-Lib: A Modular Library for Model-based Reinforcement Learningcited by 41
- 2022Learning Dexterous Manipulation from Exemplar Object Trajectories and Pre-Graspscited by 27
- 2021Model Predictive Actor-Critic: Accelerating Robot Skill Acquisition with Deep Reinforcement Learningcited by 25
- 2021Value Function Spaces: Skill-Centric State Abstractions for Long-Horizon Reasoningcited by 25
- 2023ALAN: Autonomously Exploring Robotic Agents in the Real Worldcited by 23
- 2021Where to go next: Learning a Subgoal Recommendation Policy for Navigation Among Pedestrianscited by 20
- 2022Mastering the Unsupervised Reinforcement Learning Benchmark from Pixelscited by 20
- 2023Efficient Preference-Based Reinforcement Learning Using Learned Dynamics Modelscited by 20
- 2022BayesFormer: Transformer with Uncertainty Estimationcited by 19
12 most cited of 75 All 75 (JSON)
- 2026Amortising Trajectory Optimisation for Residual MPC via Implicit Contact Differentiation27 Jul 2026
- 2026Hierarchical Decision Making with Structured Policies: A Principled Design via Inverse Optimization27 Jun 2026
- 2026ELVIS: Ensemble-Calibrated Latent Imagination for Long-Horizon Visual MPC6 May 2026
- 2026Dream-MPC: Gradient-Based Model Predictive Control with Latent Imagination6 May 2026
- 2026PriPG-RL: Privileged Planner-Guided Reinforcement Learning for Partially Observable Systems with Anytime-Feasible MPC9 Apr 2026
- 2026The Surprising Difficulty of Search in Model-Based Reinforcement Learning29 Jan 2026
- 2025Bridging Lifelong and Multi-Task Representation Learning via Algorithm and Complexity Measure3 Nov 2025
- 2025Safe and Near-Optimal Control with Online Dynamics Learning20 Sep 2025
- 2025Grasp-MPC: Closed-Loop Visual Grasping via Value-Guided Model Predictive Control7 Sep 2025
- 2025Model-free Reinforcement Learning for Model-based Control: Towards Safe, Interpretable and Sample-efficient Agents17 Jul 2025
- 2025Q-Guided Stein Variational Model Predictive Control via RL-informed Policy Prior9 Jul 2025
- 2025Investigating Lagrangian Neural Networks for Infinite Horizon Planning in Quadrupedal Locomotion19 Jun 2025
12 newest of 75 All 75 (JSON)