Information Theoretic Model Predictive Control: Theory and Applications to Autonomous Driving
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Abstract (arXiv)
We present an information theoretic approach to stochastic optimal control problems that can be used to derive general sampling based optimization schemes. This new mathematical method is used to develop a sampling based model predictive control algorithm. We apply this information theoretic model predictive control (IT-MPC) scheme to the task of aggressive autonomous driving around a dirt test track, and compare its performance to a model predictive control version of the cross-entropy method.
Key facts. Cited by 90 papers in the map (data through 14 Oct 2026). First posted on arXiv 7 Jul 2017.
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Citing papers per year: 2021: 7; 2022: 11; 2023: 14; 2024: 18; 2025: 17; 2026: 23.
90 papers.
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- 2023Reasoning with Language Model is Planning with World Modelcited by 861
- 2022Autonomous Vehicles on the Edge: A Survey on Autonomous Vehicle Racingcited by 64
- 2024Model-Based Diffusion for Trajectory Optimizationcited by 32
- 2024RoadRunner -- Learning Traversability Estimation for Autonomous Off-road Drivingcited by 26
- 2021Learning Modular Robot Control Policiescited by 22
- 2022ScaTE: A Scalable Framework for Self-Supervised Traversability Estimation in Unstructured Environmentscited by 21
- 2021Policy Search for Model Predictive Control with Application to Agile Drone Flightcited by 20
- 2025DDAT: Diffusion Policies Enforcing Dynamically Admissible Robot Trajectoriescited by 14
- 2026World-Value-Action Model: Implicit Planning for Vision-Language-Action Systemscited by 14
- 2022Variational Inference MPC using Normalizing Flows and Out-of-Distribution Projectioncited by 13
- 2025A Physics-Informed Machine Learning Framework for Safe and Optimal Control of Autonomous Systemscited by 12
- 2021Variational Inference MPC using Tsallis Divergencecited by 11
38 more
- 2024NeuPAN: Direct Point Robot Navigation with End-to-End Model-based Learningcited by 11
- 2021Dual Online Stein Variational Inference for Control and Dynamicscited by 10
- 2022Inferring Smooth Control: Monte Carlo Posterior Policy Iteration with Gaussian Processescited by 10
- 2023Efficient Dynamics Modeling in Interactive Environments with Koopman Theorycited by 10
- 2024RACER: Epistemic Risk-Sensitive RL Enables Fast Driving with Fewer Crashescited by 10
- 2023Learning Terrain-Aware Kinodynamic Model for Autonomous Off-Road Rally Driving With Model Predictive Path Integral Controlcited by 8
- 2023Constrained Stein Variational Trajectory Optimizationcited by 8
- 2022Gradient-Based Trajectory Optimization With Learned Dynamicscited by 7
- 2023Bridging Active Exploration and Uncertainty-Aware Deployment Using Probabilistic Ensemble Neural Network Dynamicscited by 7
- 2023Autonomous Drifting with 3 Minutes of Data via Learned Tire Modelscited by 7
- 2024Bisimulation metric for Model Predictive Controlcited by 6
- 2023Safe Navigation in Unstructured Environments by Minimizing Uncertainty in Control and Perceptioncited by 5
- 2023Pay Attention to How You Drive: Safe and Adaptive Model-Based Reinforcement Learning for Off-Road Drivingcited by 5
- 2024RoadRunner M&M -- Learning Multi-range Multi-resolution Traversability Maps for Autonomous Off-road Navigationcited by 5
- 2023Data-efficient Deep Reinforcement Learning for Vehicle Trajectory Controlcited by 4
- 2023Information-seeking polynomial NARX model-predictive control through expected free energy minimizationcited by 4
- 2025Computationally and Sample Efficient Safe Reinforcement Learning Using Adaptive Conformal Predictioncited by 4
- 2021Acting upon Imagination: when to trust imagined trajectories in model based reinforcement learningcited by 3
- 2022Bayesian Optimisation for Robust Model Predictive Control under Model Parameter Uncertaintycited by 3
- 2023Path Signatures for Diversity in Probabilistic Trajectory Optimisationcited by 3
- 2023HIO-SDF: Hierarchical Incremental Online Signed Distance Fieldscited by 3
- 2024LiRA: Light-Robust Adversary for Model-based Reinforcement Learning in Real Worldcited by 3
- 2024Learning Dynamic Cognitive Map with Autonomous Navigationcited by 3
- 2025Unifying Model Predictive Path Integral Control, Reinforcement Learning, and Diffusion Models for Optimal Control and Planningcited by 3
- 2023K-Nearest-Neighbor Resampling for Off-Policy Evaluation in Stochastic Controlcited by 2
- 2024Sampling for Model Predictive Trajectory Planning in Autonomous Driving using Normalizing Flowscited by 2
- 2024Words to Wheels: Vision-Based Autonomous Driving Understanding Human Language Instructions Using Foundation Modelscited by 2
- 2024Interpretable and Efficient Data-driven Discovery and Control of Distributed Systemscited by 2
- 2024Dynamics Modeling using Visual Terrain Features for High-Speed Autonomous Off-Road Drivingcited by 2
- 2025LVLM-MPC Collaboration for Autonomous Driving: A Safety-Aware and Task-Scalable Control Architecturecited by 2
- 2022Bayesian Learning Approach to Model Predictive Controlcited by 1
- 2022Adaptive Model Predictive Control by Learning Classifierscited by 1
- 2022Sparse Representation Learning with Modified q-VAE towards Minimal Realization of World Modelcited by 1
- 2024Continuously Optimizing Radar Placement with Model Predictive Path Integralscited by 1
- 2024Interacting Particle Systems for Fast Linear Quadratic RLcited by 1
- 2024Learning Autonomous Race Driving with Action Mapping Reinforcement Learningcited by 1
- 2024BiC-MPPI: Goal-Pursuing, Sampling-Based Bidirectional Rollout Clustering Path Integral for Trajectory Optimizationcited by 1
- 2025Enhanced Importance Sampling through Latent Space Exploration in Normalizing Flowscited by 1
50 most cited of 90 All 90 (JSON)
- 2026VAMPS: Visual and Motor Policies from Sampling-Based Planning4 Oct 2026
- 2026GEM-MPC: Balancing Exploration and Exploitation through Expert-Guided Planning18 Sep 2026
- 2026Seven Sources of Physical AI Capability Formation9 Sep 2026
- 2026FALCON-S: Fixed-wing ground-effect Aerodynamics Simulator and Flight Control Learning Suite5 Sep 2026
- 2026A Study of Conditional Diffusion Models for Open-Loop Control under Dry Friction and Stiction1 Sep 2026
- 2026Towards Adaptive Interaction Strategies for Human Companion Robot via Deep Reinforcement Learning20 Aug 2026
- 2026When Is a Learned Command Adapter Worth It? Closed-Loop Identification and Counterfactual Auditing of Frozen Locomotion Policies23 Jul 2026
- 2026GRACE: Gradient-Free Robot Action Generation via Combined Diffusion-MPPI Posterior Mean Estimation22 Jul 2026
- 2026Certifiable Safe Model-Based Reinforcement Learning with Control-Affine Dynamics Approximation17 Jul 2026
- 2026Motion Planning with Model-Based Diffusion via Constraint Optimization and Adaptive Scheduling16 Jul 2026
- 2026Adapting Generalist Vehicle Models for High-Speed MPC Across Terrains14 Jul 2026
- 2026Sampling-Based Coordination-Informed Multi-Objective Multi-Robot Reinforcement Learning29 Jun 2026
38 more
- 2026HOLO-MPPI: Multi-Scenario Motion Planning via Hierarchical Policy Optimization15 Jun 2026
- 2026Language-Driven Cost Optimization for Autonomous Driving9 Jun 2026
- 2026Back to Parsimonious Latents: Learning Task-Centric World Models from Visual Foundations25 May 2026
- 2026Global Convergence of Sampling-Based Nonconvex Optimization through Diffusion-Style Smoothing15 May 2026
- 2026Training-Free Cultural Alignment of Large Language Models via Persona Disagreement11 May 2026
- 2026World-Value-Action Model: Implicit Planning for Vision-Language-Action Systems16 Apr 2026
- 2026Reset-Free Reinforcement Learning for Real-World Agile Driving: An Empirical Study9 Apr 2026
- 2026Model Predictive Path Integral PID Control for Learning-Based Path Following31 Mar 2026
- 2026STRIDE: Structured Lagrangian and Stochastic Residual Dynamics via Flow Matching9 Mar 2026
- 2026SIT-LMPC: Safe Information-Theoretic Learning Model Predictive Control for Iterative Tasks18 Feb 2026
- 2026DualShield: Safe Model Predictive Diffusion via Reachability Analysis for Interactive Autonomous Driving22 Jan 2026
- 2025Splatblox: Traversability-Aware Gaussian Splatting for Outdoor Robot Navigation23 Nov 2025
- 2025Test-time reward-guided alignment of language models by importance sampling on pre-logit space30 Oct 2025
- 2025Diffusing Trajectory Optimization Problems for Recovery During Multi-Finger Manipulation8 Oct 2025
- 2025MAD-PINN: A Decentralized Physics-Informed Machine Learning Framework for Safe and Optimal Multi-Agent Control28 Sep 2025
- 2025Reservoir Predictive Path Integral Control for Unknown Nonlinear Dynamics4 Sep 2025
- 2025Constraint Learning in Multi-Agent Dynamic Games from Demonstrations of Local Nash Interactions27 Aug 2025
- 2025DRIVE Through the Unpredictability:From a Protocol Investigating Slip to a Metric Estimating Command Uncertainty19 Jun 2025
- 2025Feedback-MPPI: Fast Sampling-Based MPC via Rollout Differentiation -- Adios low-level controllers17 Jun 2025
- 2025LVLM-MPC Collaboration for Autonomous Driving: A Safety-Aware and Task-Scalable Control Architecture8 May 2025
- 2025Computationally and Sample Efficient Safe Reinforcement Learning Using Adaptive Conformal Prediction22 Mar 2025
- 2025D4orm: Multi-Robot Trajectories with Dynamics-aware Diffusion Denoised Deformations15 Mar 2025
- 2025Optimality and Suboptimality of MPPI Control in Stochastic and Deterministic Settings28 Feb 2025
- 2025Unifying Model Predictive Path Integral Control, Reinforcement Learning, and Diffusion Models for Optimal Control and Planning27 Feb 2025
- 2025DDAT: Diffusion Policies Enforcing Dynamically Admissible Robot Trajectories20 Feb 2025
- 2025Safe Beyond the Horizon: Efficient Sampling-based MPC with Neural Control Barrier Functions20 Feb 2025
- 2025A Physics-Informed Machine Learning Framework for Safe and Optimal Control of Autonomous Systems16 Feb 2025
- 2025Enhanced Importance Sampling through Latent Space Exploration in Normalizing Flows6 Jan 2025
- 2024Dynamics Modeling using Visual Terrain Features for High-Speed Autonomous Off-Road Driving30 Nov 2024
- 2024Learning Dynamic Cognitive Map with Autonomous Navigation13 Nov 2024
- 2024Interpretable and Efficient Data-driven Discovery and Control of Distributed Systems6 Nov 2024
- 2024Words to Wheels: Vision-Based Autonomous Driving Understanding Human Language Instructions Using Foundation Models14 Oct 2024
- 2024BiC-MPPI: Goal-Pursuing, Sampling-Based Bidirectional Rollout Clustering Path Integral for Trajectory Optimization9 Oct 2024
- 2024Goal-Conditioned Terminal Value Estimation for Real-time and Multi-task Model Predictive Control7 Oct 2024
- 2024Bisimulation metric for Model Predictive Control6 Oct 2024
- 2024LiRA: Light-Robust Adversary for Model-based Reinforcement Learning in Real World29 Sep 2024
- 2024RoadRunner M&M -- Learning Multi-range Multi-resolution Traversability Maps for Autonomous Off-road Navigation17 Sep 2024
- 2024Robust Stochastic Shortest-Path Planning via Risk-Sensitive Incremental Sampling16 Aug 2024
50 newest of 90 All 90 (JSON)
- 2024Model-Based Diffusion for Trajectory Optimizationcited by 32
- 2025DDAT: Diffusion Policies Enforcing Dynamically Admissible Robot Trajectoriescited by 14
- 2025Unifying Model Predictive Path Integral Control, Reinforcement Learning, and Diffusion Models for Optimal Control and Planningcited by 3
- 2025Diffusing Trajectory Optimization Problems for Recovery During Multi-Finger Manipulationcited by 1
- 2026DualShield: Safe Model Predictive Diffusion via Reachability Analysis for Interactive Autonomous Drivingcited by 1
- 2026Motion Planning with Model-Based Diffusion via Constraint Optimization and Adaptive Schedulingcited by 1
- 2025D4orm: Multi-Robot Trajectories with Dynamics-aware Diffusion Denoised Deformationscited by 0
- 2026STRIDE: Structured Lagrangian and Stochastic Residual Dynamics via Flow Matchingcited by 0
- 2026Global Convergence of Sampling-Based Nonconvex Optimization through Diffusion-Style Smoothingcited by 0
- 2026GRACE: Gradient-Free Robot Action Generation via Combined Diffusion-MPPI Posterior Mean Estimationcited by 0
- 2026A Study of Conditional Diffusion Models for Open-Loop Control under Dry Friction and Stictioncited by 0
- 2026A Study of Conditional Diffusion Models for Open-Loop Control under Dry Friction and Stiction1 Sep 2026
- 2026GRACE: Gradient-Free Robot Action Generation via Combined Diffusion-MPPI Posterior Mean Estimation22 Jul 2026
- 2026Motion Planning with Model-Based Diffusion via Constraint Optimization and Adaptive Scheduling16 Jul 2026
- 2026Global Convergence of Sampling-Based Nonconvex Optimization through Diffusion-Style Smoothing15 May 2026
- 2026STRIDE: Structured Lagrangian and Stochastic Residual Dynamics via Flow Matching9 Mar 2026
- 2026DualShield: Safe Model Predictive Diffusion via Reachability Analysis for Interactive Autonomous Driving22 Jan 2026
- 2025Diffusing Trajectory Optimization Problems for Recovery During Multi-Finger Manipulation8 Oct 2025
- 2025D4orm: Multi-Robot Trajectories with Dynamics-aware Diffusion Denoised Deformations15 Mar 2025
- 2025Unifying Model Predictive Path Integral Control, Reinforcement Learning, and Diffusion Models for Optimal Control and Planning27 Feb 2025
- 2025DDAT: Diffusion Policies Enforcing Dynamically Admissible Robot Trajectories20 Feb 2025
- 2024Model-Based Diffusion for Trajectory Optimization28 May 2024
- 2022Autonomous Vehicles on the Edge: A Survey on Autonomous Vehicle Racingcited by 64
- 2024RoadRunner -- Learning Traversability Estimation for Autonomous Off-road Drivingcited by 26
- 2024RACER: Epistemic Risk-Sensitive RL Enables Fast Driving with Fewer Crashescited by 10
- 2023Pay Attention to How You Drive: Safe and Adaptive Model-Based Reinforcement Learning for Off-Road Drivingcited by 5
- 2024Sampling for Model Predictive Trajectory Planning in Autonomous Driving using Normalizing Flowscited by 2
- 2024Words to Wheels: Vision-Based Autonomous Driving Understanding Human Language Instructions Using Foundation Modelscited by 2
- 2024Dynamics Modeling using Visual Terrain Features for High-Speed Autonomous Off-Road Drivingcited by 2
- 2025LVLM-MPC Collaboration for Autonomous Driving: A Safety-Aware and Task-Scalable Control Architecturecited by 2
- 2024Learning Autonomous Race Driving with Action Mapping Reinforcement Learningcited by 1
- 2026Reset-Free Reinforcement Learning for Real-World Agile Driving: An Empirical Studycited by 1
- 2026Language-Driven Cost Optimization for Autonomous Drivingcited by 0
- 2026Language-Driven Cost Optimization for Autonomous Driving9 Jun 2026
- 2026Reset-Free Reinforcement Learning for Real-World Agile Driving: An Empirical Study9 Apr 2026
- 2025LVLM-MPC Collaboration for Autonomous Driving: A Safety-Aware and Task-Scalable Control Architecture8 May 2025
- 2024Dynamics Modeling using Visual Terrain Features for High-Speed Autonomous Off-Road Driving30 Nov 2024
- 2024Words to Wheels: Vision-Based Autonomous Driving Understanding Human Language Instructions Using Foundation Models14 Oct 2024
- 2024Learning Autonomous Race Driving with Action Mapping Reinforcement Learning21 Jun 2024
- 2024RACER: Epistemic Risk-Sensitive RL Enables Fast Driving with Fewer Crashes7 May 2024
- 2024Sampling for Model Predictive Trajectory Planning in Autonomous Driving using Normalizing Flows15 Apr 2024
- 2024RoadRunner -- Learning Traversability Estimation for Autonomous Off-road Driving29 Feb 2024
- 2023Pay Attention to How You Drive: Safe and Adaptive Model-Based Reinforcement Learning for Off-Road Driving12 Oct 2023
- 2022Autonomous Vehicles on the Edge: A Survey on Autonomous Vehicle Racing14 Feb 2022
- 2024Bisimulation metric for Model Predictive Controlcited by 6
- 2025Computationally and Sample Efficient Safe Reinforcement Learning Using Adaptive Conformal Predictioncited by 4
- 2024LiRA: Light-Robust Adversary for Model-based Reinforcement Learning in Real Worldcited by 3
- 2024Interpretable and Efficient Data-driven Discovery and Control of Distributed Systemscited by 2
- 2024Interacting Particle Systems for Fast Linear Quadratic RLcited by 1
- 2025Optimality and Suboptimality of MPPI Control in Stochastic and Deterministic Settingscited by 1
- 2026Sampling-Based Coordination-Informed Multi-Objective Multi-Robot Reinforcement Learningcited by 0
- 2026Certifiable Safe Model-Based Reinforcement Learning with Control-Affine Dynamics Approximationcited by 0
- 2026GEM-MPC: Balancing Exploration and Exploitation through Expert-Guided Planningcited by 0
- 2026Towards Adaptive Interaction Strategies for Human Companion Robot via Deep Reinforcement Learningcited by 0
- 2026GEM-MPC: Balancing Exploration and Exploitation through Expert-Guided Planning18 Sep 2026
- 2026Towards Adaptive Interaction Strategies for Human Companion Robot via Deep Reinforcement Learning20 Aug 2026
- 2026Certifiable Safe Model-Based Reinforcement Learning with Control-Affine Dynamics Approximation17 Jul 2026
- 2026Sampling-Based Coordination-Informed Multi-Objective Multi-Robot Reinforcement Learning29 Jun 2026
- 2025Computationally and Sample Efficient Safe Reinforcement Learning Using Adaptive Conformal Prediction22 Mar 2025
- 2025Optimality and Suboptimality of MPPI Control in Stochastic and Deterministic Settings28 Feb 2025
- 2024Interpretable and Efficient Data-driven Discovery and Control of Distributed Systems6 Nov 2024
- 2024Bisimulation metric for Model Predictive Control6 Oct 2024
- 2024LiRA: Light-Robust Adversary for Model-based Reinforcement Learning in Real World29 Sep 2024
- 2024Interacting Particle Systems for Fast Linear Quadratic RL16 Jun 2024
- 2023Reasoning with Language Model is Planning with World Modelcited by 861
- 2026World-Value-Action Model: Implicit Planning for Vision-Language-Action Systemscited by 14
- 2022Sparse Representation Learning with Modified q-VAE towards Minimal Realization of World Modelcited by 1
- 2026Back to Parsimonious Latents: Learning Task-Centric World Models from Visual Foundationscited by 0
- 2026Back to Parsimonious Latents: Learning Task-Centric World Models from Visual Foundations25 May 2026
- 2026World-Value-Action Model: Implicit Planning for Vision-Language-Action Systems16 Apr 2026
- 2023Reasoning with Language Model is Planning with World Model24 May 2023
- 2022Sparse Representation Learning with Modified q-VAE towards Minimal Realization of World Model8 Aug 2022
- 2021Learning Modular Robot Control Policiescited by 22
- 2022ScaTE: A Scalable Framework for Self-Supervised Traversability Estimation in Unstructured Environmentscited by 21
- 2021Policy Search for Model Predictive Control with Application to Agile Drone Flightcited by 20
- 2022Variational Inference MPC using Normalizing Flows and Out-of-Distribution Projectioncited by 13
- 2025A Physics-Informed Machine Learning Framework for Safe and Optimal Control of Autonomous Systemscited by 12
- 2021Variational Inference MPC using Tsallis Divergencecited by 11
- 2024NeuPAN: Direct Point Robot Navigation with End-to-End Model-based Learningcited by 11
- 2021Dual Online Stein Variational Inference for Control and Dynamicscited by 10
- 2022Inferring Smooth Control: Monte Carlo Posterior Policy Iteration with Gaussian Processescited by 10
- 2023Efficient Dynamics Modeling in Interactive Environments with Koopman Theorycited by 10
- 2023Learning Terrain-Aware Kinodynamic Model for Autonomous Off-Road Rally Driving With Model Predictive Path Integral Controlcited by 8
- 2023Constrained Stein Variational Trajectory Optimizationcited by 8
12 most cited of 52 All 52 (JSON)
- 2026VAMPS: Visual and Motor Policies from Sampling-Based Planning4 Oct 2026
- 2026Seven Sources of Physical AI Capability Formation9 Sep 2026
- 2026FALCON-S: Fixed-wing ground-effect Aerodynamics Simulator and Flight Control Learning Suite5 Sep 2026
- 2026When Is a Learned Command Adapter Worth It? Closed-Loop Identification and Counterfactual Auditing of Frozen Locomotion Policies23 Jul 2026
- 2026Adapting Generalist Vehicle Models for High-Speed MPC Across Terrains14 Jul 2026
- 2026HOLO-MPPI: Multi-Scenario Motion Planning via Hierarchical Policy Optimization15 Jun 2026
- 2026Model Predictive Path Integral PID Control for Learning-Based Path Following31 Mar 2026
- 2026SIT-LMPC: Safe Information-Theoretic Learning Model Predictive Control for Iterative Tasks18 Feb 2026
- 2025Splatblox: Traversability-Aware Gaussian Splatting for Outdoor Robot Navigation23 Nov 2025
- 2025MAD-PINN: A Decentralized Physics-Informed Machine Learning Framework for Safe and Optimal Multi-Agent Control28 Sep 2025
- 2025Reservoir Predictive Path Integral Control for Unknown Nonlinear Dynamics4 Sep 2025
- 2025Constraint Learning in Multi-Agent Dynamic Games from Demonstrations of Local Nash Interactions27 Aug 2025
12 newest of 52 All 52 (JSON)