mlsanityData to 14 Oct 2026

Diffusion^2: Dual Diffusion Model with Uncertainty-Aware Adaptive Noise for Momentary Trajectory Prediction

arXiv 2510.04365 ↗First posted 5 Oct 2025cs.CVcited by 1

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

Abstract (arXiv)

Accurate pedestrian trajectory prediction is crucial for ensuring safety and efficiency in autonomous driving and human-robot interaction scenarios. Earlier studies primarily utilized sufficient observational data to predict future trajectories. However, in real-world scenarios, such as pedestrians suddenly emerging from blind spots, sufficient observational data is often unavailable (i.e. momentary trajectory), making accurate prediction challenging and increasing the risk of traffic accidents. Therefore, advancing research on pedestrian trajectory prediction under extreme scenarios is critical for enhancing traffic safety. In this work, we propose a novel framework termed Diffusion^2, tailored for momentary trajectory prediction. Diffusion^2 consists of two sequentially connected diffusion models: one for backward prediction, which generates unobserved historical trajectories, and the other for forward prediction, which forecasts future trajectories. Given that the generated unobserved historical trajectories may introduce additional noise, we propose a dual-head parameterization mechanism to estimate their aleatoric uncertainty and design a temporally adaptive noise module that dynamically modulates the noise scale in the forward diffusion process. Empirically, Diffusion^2 sets a new state-of-the-art in momentary trajectory prediction on ETH/UCY and Stanford Drone datasets.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Placed in Diffusion and flow policies for robotics, one of 14 directions in Diffusion models. Builds on 44 of its 64 references that are in the map. First posted on arXiv 5 Oct 2025.

Builds on

44 of 64 references.

Closest ancestors · 3

Same direction, newest first

  1. 2024SingularTrajectory: Universal Trajectory Predictor Using Diffusion Model27 Mar
  2. 2023EquiDiff: A Conditional Equivariant Diffusion Model For Trajectory Prediction12 Aug
  3. 2023Leapfrog Diffusion Model for Stochastic Trajectory Prediction20 Mar

Other references · 41

  1. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  2. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,863
  3. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
  4. 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,101
  5. 2021Image Super-Resolution via Iterative Refinementcited by 1,511
  6. 2021Variational Diffusion Modelscited by 1,153
  7. 2018Social GAN: Socially Acceptable Trajectories with Generative Adversarial Networkscited by 690
  8. 2022Fast Sampling of Diffusion Models with Exponential Integratorcited by 532
  9. 2022DiffuSeq: Sequence to Sequence Text Generation with Diffusion Modelscited by 450
  10. 2020Social-STGCNN: A Social Spatio-Temporal Graph Convolutional Neural Network for Human Trajectory Predictioncited by 325
  11. 2018Neural Processescited by 311
  12. 2018SoPhie: An Attentive GAN for Predicting Paths Compliant to Social and Physical Constraintscited by 298
29 more
  1. 2020Learning Gradient Fields for Shape Generationcited by 245
  2. 2020It Is Not the Journey but the Destination: Endpoint Conditioned Trajectory Predictioncited by 236
  3. 2022Stochastic Trajectory Prediction via Motion Indeterminacy Diffusioncited by 185
  4. 2020From Goals, Waypoints & Paths To Long Term Human Trajectory Forecastingcited by 167
  5. 2023AR-Diffusion: Auto-Regressive Diffusion Model for Text Generationcited by 118
  6. 2019Peeking into the Future: Predicting Future Person Activities and Locations in Videoscited by 114
  7. 2023Parallel Sampling of Diffusion Modelscited by 112
  8. 2021SGCN:Sparse Graph Convolution Network for Pedestrian Trajectory Predictioncited by 97
  9. 2022SocialVAE: Human Trajectory Prediction using Timewise Latentscited by 67
  10. 2023Improved Techniques for Maximum Likelihood Estimation for Diffusion ODEscited by 54
  11. 2021TRiPOD: Human Trajectory and Pose Dynamics Forecasting in the Wildcited by 52
  12. 2023Diffusion Models With Learned Adaptive Noisecited by 51
  13. 2021Three Steps to Multimodal Trajectory Prediction: Modality Clustering, Classification and Synthesiscited by 46
  14. 2021Stochastic Image Denoising by Sampling from the Posterior Distributioncited by 45
  15. 2023EigenTrajectory: Low-Rank Descriptors for Multi-Modal Trajectory Forecastingcited by 41
  16. 2022How many Observations are Enough? Knowledge Distillation for Trajectory Forecastingcited by 35
  17. 2023SocialCircle: Learning the Angle-based Social Interaction Representation for Pedestrian Trajectory Predictioncited by 27
  18. 2024PACP: Priority-Aware Collaborative Perception for Connected and Autonomous Vehiclescited by 17
  19. 2024Diffusion Models for Intelligent Transportation Systems: A Surveycited by 15
  20. 2024SmartCooper: Vehicular Collaborative Perception with Adaptive Fusion and Judger Mechanismcited by 11
  21. 2023EPG-MGCN: Ego-Planning Guided Multi-Graph Convolutional Network for Heterogeneous Agent Trajectory Predictioncited by 10
  22. 2024SocialCVAE: Predicting Pedestrian Trajectory via Interaction Conditioned Latentscited by 9
  23. 2023ForceFormer: Exploring Social Force and Transformer for Pedestrian Trajectory Predictioncited by 7
  24. 2018Heteroscedastic Gaussian processes for uncertainty modeling in large-scale crowdsourced traffic datacited by 6
  25. 2024Dynamic High-Order Control Barrier Functions with Diffuser for Safety-Critical Trajectory Planning at Signal-Free Intersectionscited by 4
  26. 2024GRANP: A Graph Recurrent Attentive Neural Process Model for Vehicle Trajectory Predictioncited by 3
  27. 2019Prediction of Human Trajectory Following a Haptic Robotic Guide Using Recurrent Neural Networkscited by 2
  28. 2025A Risk-aware Spatial-temporal Trajectory Planning Framework for Autonomous Vehicles Using QP-MPC and Dynamic Hazard Fieldscited by 1
  29. 2025Mean Field Game-Based Interactive Trajectory Planning Using Physics-Inspired Unified Potential Fieldscited by 1

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 1.

1 paper.

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Close in wording, no citation either way

  1. 2025Intention-Aware Diffusion Model for Pedestrian Trajectory Prediction
  2. 2024ADM: Accelerated Diffusion Model via Estimated Priors for Robust Motion Prediction under Uncertainties
  3. 2024Joint Pedestrian Trajectory Prediction through Posterior Sampling
  4. 2023DICE: Diverse Diffusion Model with Scoring for Trajectory Prediction
  5. 2024Modeling Pedestrian Intrinsic Uncertainty for Multimodal Stochastic Trajectory Prediction via Energy Plan Denoising
  6. 2025Intention Enhanced Diffusion Model for Multimodal Pedestrian Trajectory Prediction
  7. 2024Intention-aware Denoising Diffusion Model for Trajectory Prediction
  8. 2023GDTS: Goal-Guided Diffusion Model with Tree Sampling for Multi-Modal Pedestrian Trajectory Prediction