mlsanityData to 7 Oct 2026

MoFlow: One-Step Flow Matching for Human Trajectory Forecasting via Implicit Maximum Likelihood Estimation based Distillation

arXiv 2503.09950 ↗First posted 13 Mar 2025cs.CV cs.AI cs.LGcited by 31

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

Abstract (arXiv)

In this paper, we address the problem of human trajectory forecasting, which aims to predict the inherently multi-modal future movements of humans based on their past trajectories and other contextual cues. We propose a novel motion prediction conditional flow matching model, termed MoFlow, to predict K-shot future trajectories for all agents in a given scene. We design a novel flow matching loss function that not only ensures at least one of the K sets of future trajectories is accurate but also encourages all K sets of future trajectories to be diverse and plausible. Furthermore, by leveraging the implicit maximum likelihood estimation (IMLE), we propose a novel distillation method for flow models that only requires samples from the teacher model. Extensive experiments on the real-world datasets, including SportVU NBA games, ETH-UCY, and SDD, demonstrate that both our teacher flow model and the IMLE-distilled student model achieve state-of-the-art performance. These models can generate diverse trajectories that are physically and socially plausible. Moreover, our one-step student model is 100 times faster than the teacher flow model during sampling. The code, model, and data are available at our project page: https://moflow-imle.github.io

Key facts. Cited by 31 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 70 of its 89 references that are in the map. First posted on arXiv 13 Mar 2025.

Builds on

70 of 89 references.

Closest ancestors · 1

Same direction, newest first

  1. 2023Leapfrog Diffusion Model for Stochastic Trajectory Prediction20 Mar

Other references · 69

  1. 2017Attention Is All You Needcited by 59,932
  2. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  3. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  4. 2015Distilling the Knowledge in a Neural Networkcited by 10,076
  5. 2020Denoising Diffusion Implicit Modelscited by 9,655
  6. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  7. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  8. 2022Flow Matching for Generative Modelingcited by 5,426
  9. 2016PointNet: Deep Learning on Point Sets for 3D Classification and Segmentationcited by 5,223
  10. 2024Scaling Rectified Flow Transformers for High-Resolution Image Synthesiscited by 4,094
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38 more
  1. 2022Video Diffusion Modelscited by 2,280
  2. 2023Consistency Modelscited by 1,778
  3. 2018Glow: Generative Flow with Invertible 1x1 Convolutionscited by 1,539
  4. 2023ProlificDreamer: High-Fidelity and Diverse Text-to-3D Generation with Variational Score Distillationcited by 1,207
  5. 2023One-step Diffusion with Distribution Matching Distillationcited by 978
  6. 2022DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic Modelscited by 924
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  8. 2023Adversarial Diffusion Distillationcited by 741
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  10. 2018Social GAN: Socially Acceptable Trajectories with Generative Adversarial Networkscited by 687
  11. 2024Improved Distribution Matching Distillation for Fast Image Synthesiscited by 648
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  13. 2022LION: Latent Point Diffusion Models for 3D Shape Generationcited by 552
  14. 2021Large Scale Interactive Motion Forecasting for Autonomous Driving : The Waymo Open Motion Datasetcited by 532
  15. 2021Tackling the Generative Learning Trilemma with Denoising Diffusion GANscited by 515
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  17. 2023InstaFlow: One Step is Enough for High-Quality Diffusion-Based Text-to-Image Generationcited by 387
  18. 2024One Step Diffusion via Shortcut Modelscited by 373
  19. 2021Knowledge Distillation in Iterative Generative Models for Improved Sampling Speedcited by 344
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50 most cited of 69 All 69 (JSON)

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 11; 2026: 20.

31 papers.

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  1. 2025STFlow: Data-Coupled Flow Matching for Geometric Trajectory Simulationcited by 7
  2. 2025TrajFlow: Multi-modal Motion Prediction via Flow Matchingcited by 7
  3. 2025TrajEvo: Designing Trajectory Prediction Heuristics via LLM-driven Evolutioncited by 5
  4. 2025TrajEvo: Trajectory Prediction Heuristics Design via LLM-driven Evolutioncited by 5
  5. 2025JointDiff: Bridging Continuous and Discrete in Multi-Agent Trajectory Generationcited by 5
  6. 2025EgoTraj-Bench: Towards Robust Trajectory Prediction Under Ego-view Noisy Observationscited by 5
  7. 2025FlowDrive: Energy Flow Field for End-to-End Autonomous Drivingcited by 4
  8. 2026From Flow to One Step: Real-Time Multi-Modal Trajectory Policies via Implicit Maximum Likelihood Estimation-based Distribution Distillationcited by 4
  9. 2025Large Foundation Models for Trajectory Prediction in Autonomous Driving: A Comprehensive Surveycited by 3
  10. 2026CRFT: Consistent-Recurrent Feature Flow Transformer for Cross-Modal Image Registrationcited by 3
  11. 2026Heteroscedastic Diffusion for Multi-Agent Trajectory Modelingcited by 3
  12. 2025Recent Advances in Multi-Agent Human Trajectory Prediction: A Comprehensive Reviewcited by 2
19 more
  1. 2026AGMA: Adaptive Gaussian Mixture Anchors for Prior-Guided Multimodal Human Trajectory Forecastingcited by 1
  2. 2026DD-MDN: Human Trajectory Forecasting with Diffusion-Based Dual Mixture Density Networks and Uncertainty Self-Calibrationcited by 1
  3. 2026Social-Mamba: Socially-Aware Trajectory Forecasting with State-Space Modelscited by 1
  4. 2025PatchTraj: Unified Time-Frequency Representation Learning via Dynamic Patches for Trajectory Predictioncited by 0
  5. 2025Coherent Multi-Agent Trajectory Forecasting in Team Sports with CausalTrajcited by 0
  6. 2026SLD-L2S: Hierarchical Subspace Latent Diffusion for High-Fidelity Lip to Speech Synthesiscited by 0
  7. 2026Jeffreys Flow: Robust Boltzmann Generators for Rare Event Sampling via Parallel Tempering Distillationcited by 0
  8. 2026JACoP: Joint Alignment for Compliant Multi-Agent Predictioncited by 0
  9. 2026CrossVLA: Cross-Paradigm Post-Training and Inference Optimization for Vision-Language-Action Modelscited by 0
  10. 2026Diverse Yet Consistent: Context-Guided Diffusion with Energy-Based Joint Refinement for Multi-Agent Motion Predictioncited by 0
  11. 2026Sparse Compositional Flow Matching by geometric assembly from motion primitivescited by 0
  12. 2026Agent-Centric Social Trajectory Prediction: A Free Energy Principle Perspectivecited by 0
  13. 2026MUSCLE-NET: Predicted-Multiscale-Aware Network for Pedestrian Trajectory Forecastingcited by 0
  14. 2026TrajRS: Towards Certified Robustness in Pedestrian Trajectory Predictioncited by 0
  15. 2026ACME: A Multi-Cultural, Multi-Embodiment Social-Navigation Datasetcited by 0
  16. 2026A Unified Framework for Trajectory Prediction with Explicit Planning and Reaction Decompositioncited by 0
  17. 2026CrowdTraj: A Benchmark for Dense Crowd Trajectory Prediction in Realistic Crowded Environmentscited by 0
  18. 2026MedPCFM-TED: One-Step Point Cloud Flow Matching for Implant Generation via Teacher-Guided Endpoint Distillationcited by 0
  19. 2026MixiMotion: One-Step Text-to-Motion Generation via Asymmetric Set Distillationcited by 0

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  1. 2026TIGFlow-GRPO: Trajectory Forecasting via Interaction-Aware Flow Matching and Reward-Guided Optimization
  2. 2025Autoregressive Flow Matching for Motion Prediction
  3. 2026Flow-JEPA: Flow Matching for Robust Latent Dynamics in JEPA World Models
  4. 2025FlowMotion: Target-Predictive Conditional Flow Matching for Jitter-Reduced Text-Driven Human Motion Generation
  5. 2026HumanFlow -- Diffusion-Driven MAV Navigation Among Humans via Tightly-Coupled Motion Tracking, Forecasting, and Control
  6. 2025FlowMP: Learning Motion Fields for Robot Planning with Conditional Flow Matching
  7. 2025ARFlow: Human Action-Reaction Flow Matching with Physical Guidance
  8. 2025PrediFlow: A Flow-Based Prediction-Refinement Framework for Real-Time Human Motion Prediction in Human-Robot Collaboration