Collaborative Uncertainty in Multi-Agent Trajectory Forecasting
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Abstract (arXiv)
Uncertainty modeling is critical in trajectory forecasting systems for both interpretation and safety reasons. To better predict the future trajectories of multiple agents, recent works have introduced interaction modules to capture interactions among agents. This approach leads to correlations among the predicted trajectories. However, the uncertainty brought by such correlations is neglected. To fill this gap, we propose a novel concept, collaborative uncertainty(CU), which models the uncertainty resulting from the interaction module. We build a general CU-based framework to make a prediction model to learn the future trajectory and the corresponding uncertainty. The CU-based framework is integrated as a plugin module to current state-of-the-art (SOTA) systems and deployed in two special cases based on multivariate Gaussian and Laplace distributions. In each case, we conduct extensive experiments on two synthetic datasets and two public, large-scale benchmarks of trajectory forecasting. The results are promising: 1) The results of synthetic datasets show that CU-based framework allows the model to appropriately approximate the ground-truth distribution. 2) The results of trajectory forecasting benchmarks demonstrate that the CU-based framework steadily helps SOTA systems improve their performances. Especially, the proposed CU-based framework helps VectorNet improve by 57cm regarding Final Displacement Error on nuScenes dataset. 3) The visualization results of CU illustrate that the value of CU is highly related to the amount of the interactive information among agents.
Key facts. Cited by 18 papers in the map (data through 14 Oct 2026). Builds on 31 of its 48 references that are in the map. First posted on arXiv 26 Oct 2021.
Builds on
31 of 48 references.
References · 31
- 2014Adam: A Method for Stochastic Optimizationcited by 37,240
- 2019nuScenes: A multimodal dataset for autonomous drivingcited by 4,523
- 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,448
- 2017What Uncertainties Do We Need in Bayesian Deep Learning for Computer Vision?cited by 2,352
- 2017Multi-Task Learning Using Uncertainty to Weigh Losses for Scene Geometry and Semanticscited by 1,358
- 2020Mastering Atari with Discrete World Modelscited by 1,007
- 2019Argoverse: 3D Tracking and Forecasting with Rich Mapscited by 732
- 2020VectorNet: Encoding HD Maps and Agent Dynamics from Vectorized Representationcited by 530
- 2020Learning Lane Graph Representations for Motion Forecastingcited by 382
- 2020TNT: Target-driveN Trajectory Predictioncited by 347
- 2017DESIRE: Distant Future Prediction in Dynamic Scenes with Interacting Agentscited by 310
- 2018Multimodal Trajectory Predictions for Autonomous Driving using Deep Convolutional Networkscited by 289
19 more
- 2018Aleatoric uncertainty estimation with test-time augmentation for medical image segmentation with convolutional neural networkscited by 280
- 2020It Is Not the Journey but the Destination: Endpoint Conditioned Trajectory Predictioncited by 236
- 2019Social-BiGAT: Multimodal Trajectory Forecasting using Bicycle-GAN and Graph Attention Networkscited by 229
- 2019Multi-Agent Tensor Fusion for Contextual Trajectory Predictioncited by 131
- 2021HOME: Heatmap Output for future Motion Estimationcited by 122
- 2019Rules of the Road: Predicting Driving Behavior with a Convolutional Model of Semantic Interactionscited by 117
- 2019Peeking into the Future: Predicting Future Person Activities and Locations in Videoscited by 114
- 2021LaneRCNN: Distributed Representations for Graph-Centric Motion Forecastingcited by 113
- 2020Stochastic Segmentation Networks: Modelling Spatially Correlated Aleatoric Uncertaintycited by 101
- 2020Uncertainty Aware Semi-Supervised Learning on Graph Datacited by 95
- 2021TPCN: Temporal Point Cloud Networks for Motion Forecastingcited by 94
- 2019Multi-Head Attention for Multi-Modal Joint Vehicle Motion Forecastingcited by 87
- 2018Towards Safe Autonomous Driving: Capture Uncertainty in the Deep Neural Network For Lidar 3D Vehicle Detectioncited by 82
- 2020SDE-Net: Equipping Deep Neural Networks with Uncertainty Estimatescited by 75
- 2017Long-Term On-Board Prediction of People in Traffic Scenes under Uncertaintycited by 63
- 2018Structured Uncertainty Prediction Networkscited by 34
- 2019Discrete Residual Flow for Probabilistic Pedestrian Behavior Predictioncited by 34
- 2019Looking to Relations for Future Trajectory Forecastcited by 23
- 2018MX-LSTM: mixing tracklets and vislets to jointly forecast trajectories and head posescited by 17
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Citing papers per year: 2022: 6; 2023: 6; 2024: 3; 2025: 1; 2026: 2.
18 papers.
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- 2023Leapfrog Diffusion Model for Stochastic Trajectory Predictioncited by 132
- 2022GroupNet: Multiscale Hypergraph Neural Networks for Trajectory Prediction with Relational Reasoningcited by 128
- 2023EqMotion: Equivariant Multi-agent Motion Prediction with Invariant Interaction Reasoningcited by 97
- 2022Remember Intentions: Retrospective-Memory-based Trajectory Predictioncited by 86
- 2022Behavioral Intention Prediction in Driving Scenes: A Surveycited by 30
- 2022Dynamic-Group-Aware Networks for Multi-Agent Trajectory Prediction with Relational Reasoningcited by 28
- 2022Collaborative Uncertainty Benefits Multi-Agent Multi-Modal Trajectory Forecastingcited by 13
- 2023IPCC-TP: Utilizing Incremental Pearson Correlation Coefficient for Joint Multi-Agent Trajectory Predictioncited by 13
- 2023Improving Transferability for Cross-domain Trajectory Prediction via Neural Stochastic Differential Equationcited by 12
- 2022Heterogeneous Trajectory Forecasting via Risk and Scene Graph Learningcited by 11
- 2024Multi-Agent Trajectory Prediction with Difficulty-Guided Feature Enhancement Networkcited by 6
- 2024CUQDS: Conformal Uncertainty Quantification under Distribution Shift for Trajectory Predictioncited by 5
6 more
- 2023Privacy-preserving and Uncertainty-aware Federated Trajectory Prediction for Connected Autonomous Vehiclescited by 4
- 2025DeepFleet: Multi-Agent Foundation Models for Mobile Robotscited by 4
- 2023Discovering Intrinsic Spatial-Temporal Logic Rules to Explain Human Actionscited by 3
- 2026SCT-MOT: Enhancing Air-to-Air Multiple UAVs Tracking with Swarm-Coupled Motion and Trajectory Guidancecited by 1
- 2024SportsNGEN: Sustained Generation of Realistic Multi-player Sports Gameplaycited by 0
- 2026Vision: "What Don't I Know About User's Preferences?" How Uncertainty Estimation Improves Proactive Assistant Alignmentcited by 0
- 2026Vision: "What Don't I Know About User's Preferences?" How Uncertainty Estimation Improves Proactive Assistant Alignment11 Oct 2026
- 2026SCT-MOT: Enhancing Air-to-Air Multiple UAVs Tracking with Swarm-Coupled Motion and Trajectory Guidance8 Apr 2026
- 2025DeepFleet: Multi-Agent Foundation Models for Mobile Robots12 Aug 2025
- 2024Multi-Agent Trajectory Prediction with Difficulty-Guided Feature Enhancement Network26 Jul 2024
- 2024CUQDS: Conformal Uncertainty Quantification under Distribution Shift for Trajectory Prediction17 Jun 2024
- 2024SportsNGEN: Sustained Generation of Realistic Multi-player Sports Gameplay10 Feb 2024
- 2023Improving Transferability for Cross-domain Trajectory Prediction via Neural Stochastic Differential Equation26 Dec 2023
- 2023Discovering Intrinsic Spatial-Temporal Logic Rules to Explain Human Actions21 Jun 2023
- 2023Leapfrog Diffusion Model for Stochastic Trajectory Prediction20 Mar 2023
- 2023EqMotion: Equivariant Multi-agent Motion Prediction with Invariant Interaction Reasoning20 Mar 2023
- 2023Privacy-preserving and Uncertainty-aware Federated Trajectory Prediction for Connected Autonomous Vehicles8 Mar 2023
- 2023IPCC-TP: Utilizing Incremental Pearson Correlation Coefficient for Joint Multi-Agent Trajectory Prediction1 Mar 2023
6 more
- 2022Heterogeneous Trajectory Forecasting via Risk and Scene Graph Learning2 Nov 2022
- 2022Behavioral Intention Prediction in Driving Scenes: A Survey1 Nov 2022
- 2022Collaborative Uncertainty Benefits Multi-Agent Multi-Modal Trajectory Forecasting11 Jul 2022
- 2022Dynamic-Group-Aware Networks for Multi-Agent Trajectory Prediction with Relational Reasoning27 Jun 2022
- 2022GroupNet: Multiscale Hypergraph Neural Networks for Trajectory Prediction with Relational Reasoning19 Apr 2022
- 2022Remember Intentions: Retrospective-Memory-based Trajectory Prediction22 Mar 2022
- 2025DeepFleet: Multi-Agent Foundation Models for Mobile Robots12 Aug 2025
- 2023Leapfrog Diffusion Model for Stochastic Trajectory Predictioncited by 132
- 2022GroupNet: Multiscale Hypergraph Neural Networks for Trajectory Prediction with Relational Reasoningcited by 128
- 2023EqMotion: Equivariant Multi-agent Motion Prediction with Invariant Interaction Reasoningcited by 97
- 2022Remember Intentions: Retrospective-Memory-based Trajectory Predictioncited by 86
- 2022Behavioral Intention Prediction in Driving Scenes: A Surveycited by 30
- 2022Dynamic-Group-Aware Networks for Multi-Agent Trajectory Prediction with Relational Reasoningcited by 28
- 2022Collaborative Uncertainty Benefits Multi-Agent Multi-Modal Trajectory Forecastingcited by 13
- 2023IPCC-TP: Utilizing Incremental Pearson Correlation Coefficient for Joint Multi-Agent Trajectory Predictioncited by 13
- 2023Improving Transferability for Cross-domain Trajectory Prediction via Neural Stochastic Differential Equationcited by 12
- 2022Heterogeneous Trajectory Forecasting via Risk and Scene Graph Learningcited by 11
- 2024Multi-Agent Trajectory Prediction with Difficulty-Guided Feature Enhancement Networkcited by 6
- 2024CUQDS: Conformal Uncertainty Quantification under Distribution Shift for Trajectory Predictioncited by 5
- 2023Privacy-preserving and Uncertainty-aware Federated Trajectory Prediction for Connected Autonomous Vehiclescited by 4
12 most cited of 16 All 16 (JSON)
- 2026Vision: "What Don't I Know About User's Preferences?" How Uncertainty Estimation Improves Proactive Assistant Alignment11 Oct 2026
- 2026SCT-MOT: Enhancing Air-to-Air Multiple UAVs Tracking with Swarm-Coupled Motion and Trajectory Guidance8 Apr 2026
- 2024Multi-Agent Trajectory Prediction with Difficulty-Guided Feature Enhancement Network26 Jul 2024
- 2024CUQDS: Conformal Uncertainty Quantification under Distribution Shift for Trajectory Prediction17 Jun 2024
- 2024SportsNGEN: Sustained Generation of Realistic Multi-player Sports Gameplay10 Feb 2024
- 2023Improving Transferability for Cross-domain Trajectory Prediction via Neural Stochastic Differential Equation26 Dec 2023
- 2023Discovering Intrinsic Spatial-Temporal Logic Rules to Explain Human Actions21 Jun 2023
- 2023EqMotion: Equivariant Multi-agent Motion Prediction with Invariant Interaction Reasoning20 Mar 2023
- 2023Privacy-preserving and Uncertainty-aware Federated Trajectory Prediction for Connected Autonomous Vehicles8 Mar 2023
- 2023IPCC-TP: Utilizing Incremental Pearson Correlation Coefficient for Joint Multi-Agent Trajectory Prediction1 Mar 2023
- 2022Heterogeneous Trajectory Forecasting via Risk and Scene Graph Learning2 Nov 2022
- 2022Behavioral Intention Prediction in Driving Scenes: A Survey1 Nov 2022
12 newest of 16 All 16 (JSON)