Multimodal Deep Generative Models for Trajectory Prediction: A Conditional Variational Autoencoder Approach
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Abstract (arXiv)
Human behavior prediction models enable robots to anticipate how humans may react to their actions, and hence are instrumental to devising safe and proactive robot planning algorithms. However, modeling complex interaction dynamics and capturing the possibility of many possible outcomes in such interactive settings is very challenging, which has recently prompted the study of several different approaches. In this work, we provide a self-contained tutorial on a conditional variational autoencoder (CVAE) approach to human behavior prediction which, at its core, can produce a multimodal probability distribution over future human trajectories conditioned on past interactions and candidate robot future actions. Specifically, the goals of this tutorial paper are to review and build a taxonomy of state-of-the-art methods in human behavior prediction, from physics-based to purely data-driven methods, provide a rigorous yet easily accessible description of a data-driven, CVAE-based approach, highlight important design characteristics that make this an attractive model to use in the context of model-based planning for human-robot interactions, and provide important design considerations when using this class of models.
Key facts. Cited by 47 papers in the map (data through 7 Oct 2026). First posted on arXiv 10 Aug 2020.
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Citing papers per year: 2021: 5; 2022: 6; 2023: 12; 2024: 7; 2025: 7; 2026: 10.
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- 2023MotionDiffuser: Controllable Multi-Agent Motion Prediction using Diffusioncited by 210
- 2022A survey of multimodal deep generative modelscited by 47
- 2024UnO: Unsupervised Occupancy Fields for Perception and Forecastingcited by 40
- 2021Review of Pedestrian Trajectory Prediction Methods: Comparing Deep Learning and Knowledge-based Approachescited by 30
- 2023Implicit Occupancy Flow Fields for Perception and Prediction in Self-Drivingcited by 30
- 2023Robots That Can See: Leveraging Human Pose for Trajectory Predictioncited by 22
- 2023EquiDiff: A Conditional Equivariant Diffusion Model For Trajectory Predictioncited by 21
- 2024Multi-Transmotion: Pre-trained Model for Human Motion Predictioncited by 21
- 2025Trajectory Prediction for Autonomous Driving: Progress, Limitations, and Future Directionscited by 14
- 2022CVAE-H: Conditionalizing Variational Autoencoders via Hypernetworks and Trajectory Forecasting for Autonomous Drivingcited by 13
- 2021Exploring Social Posterior Collapse in Variational Autoencoder for Interaction Modelingcited by 11
- 2023Revisiting Energy Based Models as Policies: Ranking Noise Contrastive Estimation and Interpolating Energy Modelscited by 9
35 more
- 2021Learning to Navigate Intersections with Unsupervised Driver Trait Inferencecited by 8
- 2023Vision-based Multi-future Trajectory Prediction: A Surveycited by 8
- 2021SUPR-GAN: SUrgical PRediction GAN for Event Anticipation in Laparoscopic and Robotic Surgerycited by 7
- 2023Conditional Unscented Autoencoders for Trajectory Predictioncited by 7
- 2025GoIRL: Graph-Oriented Inverse Reinforcement Learning for Multimodal Trajectory Predictioncited by 7
- 2022CTRMs: Learning to Construct Cooperative Timed Roadmaps for Multi-agent Path Planning in Continuous Spacescited by 6
- 2023A Survey of Generative AI for Intelligent Transportation Systems: Road Transportation Perspectivecited by 6
- 2023A Game-Theoretic Framework for Joint Forecasting and Planningcited by 5
- 2024Motion Forecasting via Model-Based Risk Minimizationcited by 4
- 2025Unified Human Localization and Trajectory Prediction with Monocular Visioncited by 4
- 2024Harmonious Group Choreography with Trajectory-Controllable Diffusioncited by 3
- 2024Conformal Trajectory Prediction with Multi-View Data Integration in Cooperative Drivingcited by 3
- 2025Bayesian Multiobject Tracking With Neural-Enhanced Motion and Measurement Modelscited by 3
- 2025OmniTraj: Pre-Training on Heterogeneous Data for Adaptive and Zero-Shot Human Trajectory Predictioncited by 3
- 2021Conditional Generative Adversarial Networks for Speed Control in Trajectory Simulationcited by 2
- 2022Unified Control Framework for Real-Time Interception and Obstacle Avoidance of Fast-Moving Objects with Diffusion Variational Autoencodercited by 2
- 2024Data-driven Probabilistic Trajectory Learning with High Temporal Resolution in Terminal Airspacecited by 2
- 2024Learning responsibility allocations for multi-agent interactions: A differentiable optimization approach with control barrier functionscited by 2
- 2022"If you could see me through my eyes": Predicting Pedestrian Perceptioncited by 1
- 2023Interaction-Aware Decision-Making for Autonomous Vehicles in Forced Merging Scenario Leveraging Social Psychology Factorscited by 1
- 2025Risk-Informed Diffusion Transformer for Long-Tail Trajectory Prediction in the Crash Scenariocited by 1
- 2026Learning Probabilistic Responsibility Allocations for Multi-Agent Interactionscited by 1
- 2026Social-Mamba: Socially-Aware Trajectory Forecasting with State-Space Modelscited by 1
- 2022Learning and Predicting Multimodal Vehicle Action Distributions in a Unified Probabilistic Model Without Labelscited by 0
- 2023Deep Demixing: Reconstructing the Evolution of Network Epidemicscited by 0
- 2023Semantic and Articulated Pedestrian Sensing Onboard a Moving Vehiclecited by 0
- 2025SocialTraj: Two-Stage Socially-Aware Trajectory Prediction for Autonomous Driving via Conditional Diffusion Modelcited by 0
- 2026How vehicles change lanes after encountering crashes: Empirical analysis and modelingcited by 0
- 2026TacSIm: A Dataset and Benchmark for Football Tactical Style Imitationcited by 0
- 2026Sparse Compositional Flow Matching by geometric assembly from motion primitivescited by 0
- 2026From Noise to Control: Parameterized Diffusion Policiescited by 0
- 2026Do as the Romans Do: Learning Universal Behaviors from Heterogeneous Agentscited by 0
- 2026Off the Rails: Hijacking the Scoring Head in Generative End-to-End Driving Planners with Safety-Violating Adversarial Perturbationscited by 0
- 2026History-Conditioned Flow Matching for Probabilistic Dynamics of Tendon-Driven Continuum Robotscited by 0
- 2026TriO: Tri-Modal Unsupervised Occupancy World Model for Anything Perceptioncited by 0
- 2026TriO: Tri-Modal Unsupervised Occupancy World Model for Anything Perception25 Sep 2026
- 2026History-Conditioned Flow Matching for Probabilistic Dynamics of Tendon-Driven Continuum Robots22 Sep 2026
- 2026Off the Rails: Hijacking the Scoring Head in Generative End-to-End Driving Planners with Safety-Violating Adversarial Perturbations29 Jun 2026
- 2026Do as the Romans Do: Learning Universal Behaviors from Heterogeneous Agents16 Jun 2026
- 2026From Noise to Control: Parameterized Diffusion Policies29 May 2026
- 2026Sparse Compositional Flow Matching by geometric assembly from motion primitives22 May 2026
- 2026Social-Mamba: Socially-Aware Trajectory Forecasting with State-Space Models14 May 2026
- 2026Learning Probabilistic Responsibility Allocations for Multi-Agent Interactions13 Apr 2026
- 2026TacSIm: A Dataset and Benchmark for Football Tactical Style Imitation26 Mar 2026
- 2026How vehicles change lanes after encountering crashes: Empirical analysis and modeling13 Jan 2026
- 2025SocialTraj: Two-Stage Socially-Aware Trajectory Prediction for Autonomous Driving via Conditional Diffusion Model22 Sep 2025
- 2025OmniTraj: Pre-Training on Heterogeneous Data for Adaptive and Zero-Shot Human Trajectory Prediction31 Jul 2025
35 more
- 2025GoIRL: Graph-Oriented Inverse Reinforcement Learning for Multimodal Trajectory Prediction26 Jun 2025
- 2025Bayesian Multiobject Tracking With Neural-Enhanced Motion and Measurement Models22 Jun 2025
- 2025Unified Human Localization and Trajectory Prediction with Monocular Vision5 Mar 2025
- 2025Trajectory Prediction for Autonomous Driving: Progress, Limitations, and Future Directions5 Mar 2025
- 2025Risk-Informed Diffusion Transformer for Long-Tail Trajectory Prediction in the Crash Scenario18 Jan 2025
- 2024Multi-Transmotion: Pre-trained Model for Human Motion Prediction4 Nov 2024
- 2024Learning responsibility allocations for multi-agent interactions: A differentiable optimization approach with control barrier functions9 Oct 2024
- 2024Data-driven Probabilistic Trajectory Learning with High Temporal Resolution in Terminal Airspace25 Sep 2024
- 2024Motion Forecasting via Model-Based Risk Minimization16 Sep 2024
- 2024Conformal Trajectory Prediction with Multi-View Data Integration in Cooperative Driving1 Aug 2024
- 2024UnO: Unsupervised Occupancy Fields for Perception and Forecasting12 Jun 2024
- 2024Harmonious Group Choreography with Trajectory-Controllable Diffusion10 Mar 2024
- 2023A Survey of Generative AI for Intelligent Transportation Systems: Road Transportation Perspective13 Dec 2023
- 2023Conditional Unscented Autoencoders for Trajectory Prediction30 Oct 2023
- 2023Robots That Can See: Leveraging Human Pose for Trajectory Prediction29 Sep 2023
- 2023Interaction-Aware Decision-Making for Autonomous Vehicles in Forced Merging Scenario Leveraging Social Psychology Factors25 Sep 2023
- 2023Semantic and Articulated Pedestrian Sensing Onboard a Moving Vehicle12 Sep 2023
- 2023Revisiting Energy Based Models as Policies: Ranking Noise Contrastive Estimation and Interpolating Energy Models11 Sep 2023
- 2023EquiDiff: A Conditional Equivariant Diffusion Model For Trajectory Prediction12 Aug 2023
- 2023A Game-Theoretic Framework for Joint Forecasting and Planning11 Aug 2023
- 2023Implicit Occupancy Flow Fields for Perception and Prediction in Self-Driving2 Aug 2023
- 2023Deep Demixing: Reconstructing the Evolution of Network Epidemics11 Jun 2023
- 2023MotionDiffuser: Controllable Multi-Agent Motion Prediction using Diffusion5 Jun 2023
- 2023Vision-based Multi-future Trajectory Prediction: A Survey21 Feb 2023
- 2022Learning and Predicting Multimodal Vehicle Action Distributions in a Unified Probabilistic Model Without Labels14 Dec 2022
- 2022Unified Control Framework for Real-Time Interception and Obstacle Avoidance of Fast-Moving Objects with Diffusion Variational Autoencoder27 Sep 2022
- 2022A survey of multimodal deep generative models5 Jul 2022
- 2022"If you could see me through my eyes": Predicting Pedestrian Perception28 Feb 2022
- 2022CVAE-H: Conditionalizing Variational Autoencoders via Hypernetworks and Trajectory Forecasting for Autonomous Driving24 Jan 2022
- 2022CTRMs: Learning to Construct Cooperative Timed Roadmaps for Multi-agent Path Planning in Continuous Spaces24 Jan 2022
- 2021Exploring Social Posterior Collapse in Variational Autoencoder for Interaction Modeling1 Dec 2021
- 2021Review of Pedestrian Trajectory Prediction Methods: Comparing Deep Learning and Knowledge-based Approaches11 Nov 2021
- 2021Learning to Navigate Intersections with Unsupervised Driver Trait Inference14 Sep 2021
- 2021SUPR-GAN: SUrgical PRediction GAN for Event Anticipation in Laparoscopic and Robotic Surgery10 May 2021
- 2021Conditional Generative Adversarial Networks for Speed Control in Trajectory Simulation21 Mar 2021
- 2023EquiDiff: A Conditional Equivariant Diffusion Model For Trajectory Predictioncited by 21
- 2023Revisiting Energy Based Models as Policies: Ranking Noise Contrastive Estimation and Interpolating Energy Modelscited by 9
- 2025Risk-Informed Diffusion Transformer for Long-Tail Trajectory Prediction in the Crash Scenariocited by 1
- 2025SocialTraj: Two-Stage Socially-Aware Trajectory Prediction for Autonomous Driving via Conditional Diffusion Modelcited by 0
- 2026Sparse Compositional Flow Matching by geometric assembly from motion primitivescited by 0
- 2026From Noise to Control: Parameterized Diffusion Policiescited by 0
- 2026History-Conditioned Flow Matching for Probabilistic Dynamics of Tendon-Driven Continuum Robotscited by 0
- 2026History-Conditioned Flow Matching for Probabilistic Dynamics of Tendon-Driven Continuum Robots22 Sep 2026
- 2026From Noise to Control: Parameterized Diffusion Policies29 May 2026
- 2026Sparse Compositional Flow Matching by geometric assembly from motion primitives22 May 2026
- 2025SocialTraj: Two-Stage Socially-Aware Trajectory Prediction for Autonomous Driving via Conditional Diffusion Model22 Sep 2025
- 2025Risk-Informed Diffusion Transformer for Long-Tail Trajectory Prediction in the Crash Scenario18 Jan 2025
- 2023Revisiting Energy Based Models as Policies: Ranking Noise Contrastive Estimation and Interpolating Energy Models11 Sep 2023
- 2023EquiDiff: A Conditional Equivariant Diffusion Model For Trajectory Prediction12 Aug 2023
- 2023Implicit Occupancy Flow Fields for Perception and Prediction in Self-Drivingcited by 30
- 2024Conformal Trajectory Prediction with Multi-View Data Integration in Cooperative Drivingcited by 3
- 2026Off the Rails: Hijacking the Scoring Head in Generative End-to-End Driving Planners with Safety-Violating Adversarial Perturbationscited by 0
- 2026Off the Rails: Hijacking the Scoring Head in Generative End-to-End Driving Planners with Safety-Violating Adversarial Perturbations29 Jun 2026
- 2024Conformal Trajectory Prediction with Multi-View Data Integration in Cooperative Driving1 Aug 2024
- 2023Implicit Occupancy Flow Fields for Perception and Prediction in Self-Driving2 Aug 2023
- 2022A survey of multimodal deep generative modelscited by 47
- 2021Review of Pedestrian Trajectory Prediction Methods: Comparing Deep Learning and Knowledge-based Approachescited by 30
- 2023Robots That Can See: Leveraging Human Pose for Trajectory Predictioncited by 22
- 2024Multi-Transmotion: Pre-trained Model for Human Motion Predictioncited by 21
- 2025Trajectory Prediction for Autonomous Driving: Progress, Limitations, and Future Directionscited by 14
- 2022CVAE-H: Conditionalizing Variational Autoencoders via Hypernetworks and Trajectory Forecasting for Autonomous Drivingcited by 13
- 2021Exploring Social Posterior Collapse in Variational Autoencoder for Interaction Modelingcited by 11
- 2021Learning to Navigate Intersections with Unsupervised Driver Trait Inferencecited by 8
- 2023Vision-based Multi-future Trajectory Prediction: A Surveycited by 8
- 2021SUPR-GAN: SUrgical PRediction GAN for Event Anticipation in Laparoscopic and Robotic Surgerycited by 7
- 2023Conditional Unscented Autoencoders for Trajectory Predictioncited by 7
- 2022CTRMs: Learning to Construct Cooperative Timed Roadmaps for Multi-agent Path Planning in Continuous Spacescited by 6
12 most cited of 31 All 31 (JSON)
- 2026Learning Probabilistic Responsibility Allocations for Multi-Agent Interactions13 Apr 2026
- 2026TacSIm: A Dataset and Benchmark for Football Tactical Style Imitation26 Mar 2026
- 2026How vehicles change lanes after encountering crashes: Empirical analysis and modeling13 Jan 2026
- 2025OmniTraj: Pre-Training on Heterogeneous Data for Adaptive and Zero-Shot Human Trajectory Prediction31 Jul 2025
- 2025Bayesian Multiobject Tracking With Neural-Enhanced Motion and Measurement Models22 Jun 2025
- 2025Unified Human Localization and Trajectory Prediction with Monocular Vision5 Mar 2025
- 2025Trajectory Prediction for Autonomous Driving: Progress, Limitations, and Future Directions5 Mar 2025
- 2024Multi-Transmotion: Pre-trained Model for Human Motion Prediction4 Nov 2024
- 2024Learning responsibility allocations for multi-agent interactions: A differentiable optimization approach with control barrier functions9 Oct 2024
- 2024Data-driven Probabilistic Trajectory Learning with High Temporal Resolution in Terminal Airspace25 Sep 2024
- 2024Motion Forecasting via Model-Based Risk Minimization16 Sep 2024
- 2024Harmonious Group Choreography with Trajectory-Controllable Diffusion10 Mar 2024
12 newest of 31 All 31 (JSON)