mlsanityData to 14 Oct 2026

Uncertainty estimation of pedestrian future trajectory using Bayesian approximation

arXiv 2205.01887 ↗First posted 4 May 2022cs.LGcited by 12

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Abstract (arXiv)

Past research on pedestrian trajectory forecasting mainly focused on deterministic predictions which provide only point estimates of future states. These future estimates can help an autonomous vehicle plan its trajectory and avoid collision. However, under dynamic traffic scenarios, planning based on deterministic predictions is not trustworthy. Rather, estimating the uncertainty associated with the predicted states with a certain level of confidence can lead to robust path planning. Hence, the authors propose to quantify this uncertainty during forecasting using stochastic approximation which deterministic approaches fail to capture. The current method is simple and applies Bayesian approximation during inference to standard neural network architectures for estimating uncertainty. The authors compared the predictions between the probabilistic neural network (NN) models with the standard deterministic models. The results indicate that the mean predicted path of probabilistic models was closer to the ground truth when compared with the deterministic prediction. Further, the effect of stochastic dropout of weights and long-term prediction on future state uncertainty has been studied. It was found that the probabilistic models produced better performance metrics like average displacement error (ADE) and final displacement error (FDE). Finally, the study has been extended to multiple datasets providing a comprehensive comparison for each model.

Key facts. Cited by 12 papers in the map (data through 14 Oct 2026). Builds on 16 of its 36 references that are in the map. First posted on arXiv 4 May 2022.

Builds on

16 of 36 references.

References · 16

  1. 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,448
  2. 2018Social GAN: Socially Acceptable Trajectories with Generative Adversarial Networkscited by 690
  3. 2020Hands-on Bayesian Neural Networks -- a Tutorial for Deep Learning Userscited by 338
  4. 2018SoPhie: An Attentive GAN for Predicting Paths Compliant to Social and Physical Constraintscited by 298
  5. 2019Social-BiGAT: Multimodal Trajectory Forecasting using Bicycle-GAN and Graph Attention Networkscited by 229
  6. 2019The inD Dataset: A Drone Dataset of Naturalistic Road User Trajectories at German Intersectionscited by 137
  7. 2017Uncertainty-Aware Reinforcement Learning for Collision Avoidancecited by 88
  8. 2018An LSTM Network for Highway Trajectory Predictioncited by 81
  9. 2017Probabilistic Vehicle Trajectory Prediction over Occupancy Grid Map via Recurrent Neural Networkcited by 56
  10. 2018Sequence-to-Sequence Prediction of Vehicle Trajectory via LSTM Encoder-Decoder Architecturecited by 55
  11. 2017Deep and Confident Prediction for Time Series at Ubercited by 50
  12. 2018Scene-LSTM: A Model for Human Trajectory Predictioncited by 25
4 more
  1. 2020Pedestrian Trajectory Prediction with Convolutional Neural Networkscited by 21
  2. 2018Convolutional Neural Network for Trajectory Predictioncited by 11
  3. 2022A Quality Index Metric and Method for Online Self-Assessment of Autonomous Vehicles Sensory Perceptioncited by 10
  4. 2021Attention-based Neural Network for Driving Environment Complexity Perceptioncited by 9

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2022: 2; 2023: 3; 2024: 4; 2025: 1; 2026: 2.

12 papers.