mlsanityData to 7 Oct 2026

Leapfrog Diffusion Model for Stochastic Trajectory Prediction

arXiv 2303.10895 ↗First posted 20 Mar 2023cs.CVcited by 129

On the map: Diffusion models → Diffusion and flow policies for robotics

Abstract (arXiv)

To model the indeterminacy of human behaviors, stochastic trajectory prediction requires a sophisticated multi-modal distribution of future trajectories. Emerging diffusion models have revealed their tremendous representation capacities in numerous generation tasks, showing potential for stochastic trajectory prediction. However, expensive time consumption prevents diffusion models from real-time prediction, since a large number of denoising steps are required to assure sufficient representation ability. To resolve the dilemma, we present LEapfrog Diffusion model (LED), a novel diffusion-based trajectory prediction model, which provides real-time, precise, and diverse predictions. The core of the proposed LED is to leverage a trainable leapfrog initializer to directly learn an expressive multi-modal distribution of future trajectories, which skips a large number of denoising steps, significantly accelerating inference speed. Moreover, the leapfrog initializer is trained to appropriately allocate correlated samples to provide a diversity of predicted future trajectories, significantly improving prediction performances. Extensive experiments on four real-world datasets, including NBA/NFL/SDD/ETH-UCY, show that LED consistently improves performance and achieves 23.7%/21.9% ADE/FDE improvement on NFL. The proposed LED also speeds up the inference 19.3/30.8/24.3/25.1 times compared to the standard diffusion model on NBA/NFL/SDD/ETH-UCY, satisfying real-time inference needs. Code is available at https://github.com/MediaBrain-SJTU/LED.

Key facts. Cited by 129 papers in the map (data through 7 Oct 2026). Placed in Diffusion and flow policies for robotics, one of 14 directions in Diffusion models. Builds on 44 of its 56 references that are in the map. First posted on arXiv 20 Mar 2023.

Builds on

44 of 56 references.

References · 44

  1. 2017Attention Is All You Needcited by 59,932
  2. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  3. 2020Denoising Diffusion Implicit Modelscited by 9,655
  4. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
  5. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  6. 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
  7. 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,736
  8. 2014Empirical Evaluation of Gated Recurrent Neural Networks on Sequence Modelingcited by 2,341
  9. 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
  10. 2018Social GAN: Socially Acceptable Trajectories with Generative Adversarial Networkscited by 687
  11. 2020WaveGrad: Estimating Gradients for Waveform Generationcited by 620
  12. 2021CSDI: Conditional Score-based Diffusion Models for Probabilistic Time Series Imputationcited by 577
32 more
  1. 2021Autoregressive Denoising Diffusion Models for Multivariate Probabilistic Time Series Forecastingcited by 332
  2. 2021AgentFormer: Agent-Aware Transformers for Socio-Temporal Multi-Agent Forecastingcited by 327
  3. 2020Social-STGCNN: A Social Spatio-Temporal Graph Convolutional Neural Network for Human Trajectory Predictioncited by 324
  4. 2018SoPhie: An Attentive GAN for Predicting Paths Compliant to Social and Physical Constraintscited by 296
  5. 2019Learning Trajectory Dependencies for Human Motion Predictioncited by 245
  6. 2020It Is Not the Journey but the Destination: Endpoint Conditioned Trajectory Predictioncited by 235
  7. 2019Social-BiGAT: Multimodal Trajectory Forecasting using Bicycle-GAN and Graph Attention Networkscited by 228
  8. 2020Spatio-Temporal Graph Transformer Networks for Pedestrian Trajectory Predictioncited by 218
  9. 2017Social Attention: Modeling Attention in Human Crowdscited by 185
  10. 2022Stochastic Trajectory Prediction via Motion Indeterminacy Diffusioncited by 184
  11. 2020Transformer Networks for Trajectory Forecastingcited by 180
  12. 2020From Goals, Waypoints & Paths To Long Term Human Trajectory Forecastingcited by 166
  13. 2020History Repeats Itself: Human Motion Prediction via Motion Attentioncited by 164
  14. 2021GOHOME: Graph-Oriented Heatmap Output for future Motion Estimationcited by 146
  15. 2022GroupNet: Multiscale Hypergraph Neural Networks for Trajectory Prediction with Relational Reasoningcited by 128
  16. 2021HOME: Heatmap Output for future Motion Estimationcited by 122
  17. 2020MotionNet: Joint Perception and Motion Prediction for Autonomous Driving Based on Bird's Eye View Mapscited by 100
  18. 2022Remember Intentions: Retrospective-Memory-based Trajectory Predictioncited by 86
  19. 2020TPNet: Trajectory Proposal Network for Motion Predictioncited by 80
  20. 20203D Point Cloud Processing and Learning for Autonomous Drivingcited by 68
  21. 2021MG-GAN: A Multi-Generator Model Preventing Out-of-Distribution Samples in Pedestrian Trajectory Predictioncited by 61
  22. 2021Trajectory Prediction with Latent Belief Energy-Based Modelcited by 60
  23. 2022MUSE-VAE: Multi-Scale VAE for Environment-Aware Long Term Trajectory Predictioncited by 59
  24. 2020Collaborative Motion Prediction via Neural Motion Message Passingcited by 55
  25. 2019Symbiotic Graph Neural Networks for 3D Skeleton-based Human Action Recognition and Motion Predictioncited by 50
  26. 2022Non-Probability Sampling Network for Stochastic Human Trajectory Predictioncited by 46
  27. 2019Conditional Flow Variational Autoencoders for Structured Sequence Predictioncited by 36
  28. 2020Reciprocal Learning Networks for Human Trajectory Predictioncited by 30
  29. 2022Dynamic-Group-Aware Networks for Multi-Agent Trajectory Prediction with Relational Reasoningcited by 28
  30. 2021Collaborative Uncertainty in Multi-Agent Trajectory Forecastingcited by 17
  31. 2019Towards Better Human Robot Collaboration with Robust Plan Recognition and Trajectory Predictioncited by 8
  32. 2022Aware of the History: Trajectory Forecasting with the Local Behavior Datacited by 8

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 8; 2024: 45; 2025: 45; 2026: 31.

129 papers.

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  1. 2025OpenDriveVLA: Towards End-to-end Autonomous Driving with Large Vision Language Action Modelcited by 172
  2. 2024SingularTrajectory: Universal Trajectory Predictor Using Diffusion Modelcited by 35
  3. 2025Efficient Diffusion Models: A Surveycited by 35
  4. 2024Can Language Beat Numerical Regression? Language-Based Multimodal Trajectory Predictioncited by 31
  5. 2025MoFlow: One-Step Flow Matching for Human Trajectory Forecasting via Implicit Maximum Likelihood Estimation based Distillationcited by 31
  6. 2024Multi-agent Long-term 3D Human Pose Forecasting via Interaction-aware Trajectory Conditioningcited by 29
  7. 2024Divide-and-Conquer Posterior Sampling for Denoising Diffusion Priorscited by 28
  8. 2023SocialCircle: Learning the Angle-based Social Interaction Representation for Pedestrian Trajectory Predictioncited by 27
  9. 2024LG-Traj: LLM Guided Pedestrian Trajectory Predictioncited by 24
  10. 2024Adapting to Length Shift: FlexiLength Network for Trajectory Predictioncited by 22
  11. 2024MART: MultiscAle Relational Transformer Networks for Multi-agent Trajectory Predictioncited by 21
  12. 2024Multi-Transmotion: Pre-trained Model for Human Motion Predictioncited by 21
38 more
  1. 2024T4P: Test-Time Training of Trajectory Prediction via Masked Autoencoder and Actor-specific Token Memorycited by 20
  2. 2024Sports-Traj: A Unified Trajectory Generation Model for Multi-Agent Movement in Sportscited by 19
  3. 2023DICE: Diverse Diffusion Model with Scoring for Trajectory Predictioncited by 18
  4. 2024Progressive Pretext Task Learning for Human Trajectory Predictioncited by 16
  5. 2025Unified Uncertainty-Aware Diffusion for Multi-Agent Trajectory Modelingcited by 15
  6. 2025Trajectory Prediction for Autonomous Driving: Progress, Limitations, and Future Directionscited by 14
  7. 2025Unified Spatial-Temporal Edge-Enhanced Graph Networks for Pedestrian Trajectory Predictioncited by 13
  8. 2024Social Physics Informed Diffusion Model for Crowd Simulationcited by 11
  9. 2024Intention-aware Denoising Diffusion Model for Trajectory Predictioncited by 11
  10. 2024TranSPORTmer: A Holistic Approach to Trajectory Understanding in Multi-Agent Sportscited by 11
  11. 2024Joint Pedestrian Trajectory Prediction through Posterior Samplingcited by 10
  12. 2025Physical Plausibility-aware Trajectory Prediction via Locomotion Embodimentcited by 10
  13. 2025Multi-modal Knowledge Distillation-based Human Trajectory Forecastingcited by 10
  14. 2025SoccerMaster: A Vision Foundation Model for Soccer Understandingcited by 10
  15. 2024MATRIX: Multi-Agent Trajectory Generation with Diverse Contextscited by 9
  16. 2024C2F-TP: A Coarse-to-Fine Denoising Framework for Uncertainty-Aware Trajectory Predictioncited by 9
  17. 2025BP-SGCN: Behavioral Pseudo-Label Informed Sparse Graph Convolution Network for Pedestrian and Heterogeneous Trajectory Predictioncited by 9
  18. 2025LD-Scene: LLM-Guided Diffusion for Controllable Generation of Adversarial Safety-Critical Driving Scenarioscited by 9
  19. 2024Recurrent Aligned Network for Generalized Pedestrian Trajectory Predictioncited by 8
  20. 2024Pedestrian Trajectory Prediction with Missing Data: Datasets, Imputation, and Benchmarkingcited by 8
  21. 2024TrACT: A Training Dynamics Aware Contrastive Learning Framework for Long-tail Trajectory Predictioncited by 7
  22. 2025Continuous Locomotive Crowd Behavior Generationcited by 7
  23. 2025SocialMOIF: Multi-Order Intention Fusion for Pedestrian Trajectory Predictioncited by 7
  24. 2025STFlow: Data-Coupled Flow Matching for Geometric Trajectory Simulationcited by 7
  25. 2025TrajFlow: Multi-modal Motion Prediction via Flow Matchingcited by 7
  26. 2024MGF: Mixed Gaussian Flow for Diverse Trajectory Predictioncited by 6
  27. 2024Certified Human Trajectory Predictioncited by 6
  28. 2024SocialCircle+: Learning the Angle-based Conditioned Interaction Representation for Pedestrian Trajectory Predictioncited by 6
  29. 2023Score-based Generative Modeling Through Backward Stochastic Differential Equations: Inversion and Generationcited by 5
  30. 2024CUQDS: Conformal Uncertainty Quantification under Distribution Shift for Trajectory Predictioncited by 5
  31. 2024Resonance: Learning to Predict Social-Aware Pedestrian Trajectories as Co-Vibrationscited by 5
  32. 2025ParkDiffusion: Heterogeneous Multi-Agent Multi-Modal Trajectory Prediction for Automated Parking using Diffusion Modelscited by 5
  33. 2025JointDiff: Bridging Continuous and Discrete in Multi-Agent Trajectory Generationcited by 5
  34. 2025EgoTraj-Bench: Towards Robust Trajectory Prediction Under Ego-view Noisy Observationscited by 5
  35. 2024AMEND: A Mixture of Experts Framework for Long-tailed Trajectory Predictioncited by 4
  36. 2024TrajDiffuse: A Conditional Diffusion Model for Environment-Aware Trajectory Predictioncited by 4
  37. 2025ViTE: Virtual Graph Trajectory Expert Router for Pedestrian Trajectory Predictioncited by 4
  38. 2023GDTS: Goal-Guided Diffusion Model with Tree Sampling for Multi-Modal Pedestrian Trajectory Predictioncited by 3

50 most cited of 129 All 129 (JSON)

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  1. 2024Predicting Long-Term Human Behaviors in Discrete Representations via Physics-Guided Diffusion
  2. 2024Uncovering the human motion pattern: Pattern Memory-based Diffusion Model for Trajectory Prediction
  3. 2025Intention Enhanced Diffusion Model for Multimodal Pedestrian Trajectory Prediction
  4. 2023Motion Planning Diffusion: Learning and Planning of Robot Motions with Diffusion Models
  5. 2022BeLFusion: Latent Diffusion for Behavior-Driven Human Motion Prediction
  6. 2025Dynamic Population Distribution Aware Human Trajectory Generation with Diffusion Model
  7. 2023EquiDiff: A Conditional Equivariant Diffusion Model For Trajectory Prediction
  8. 2025Foresight Diffusion: Improving Sampling Consistency in Predictive Diffusion Models