PLOP: Probabilistic poLynomial Objects trajectory Planning for autonomous driving
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Abstract (arXiv)
To navigate safely in urban environments, an autonomous vehicle (ego vehicle) must understand and anticipate its surroundings, in particular the behavior and intents of other road users (neighbors). Most of the times, multiple decision choices are acceptable for all road users (e.g., turn right or left, or different ways of avoiding an obstacle), leading to a highly uncertain and multi-modal decision space. We focus here on predicting multiple feasible future trajectories for both ego vehicle and neighbors through a probabilistic framework. We rely on a conditional imitation learning algorithm, conditioned by a navigation command for the ego vehicle (e.g., "turn right"). Our model processes ego vehicle front-facing camera images and bird-eye view grid, computed from Lidar point clouds, with detections of past and present objects, in order to generate multiple trajectories for both ego vehicle and its neighbors. Our approach is computationally efficient and relies only on on-board sensors. We evaluate our method offline on the publicly available dataset nuScenes, achieving state-of-the-art performance, investigate the impact of our architecture choices on online simulated experiments and show preliminary insights for real vehicle control
Key facts. Cited by 19 papers in the map (data through 14 Oct 2026). First posted on arXiv 9 Mar 2020.
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Citing papers per year: 2021: 5; 2022: 7; 2023: 0; 2024: 7.
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- 2022Planning-oriented Autonomous Drivingcited by 1,087
- 2021Large Scale Interactive Motion Forecasting for Autonomous Driving : The Waymo Open Motion Datasetcited by 537
- 2021MultiPath++: Efficient Information Fusion and Trajectory Aggregation for Behavior Predictioncited by 246
- 2021Scene Transformer: A unified architecture for predicting multiple agent trajectoriescited by 165
- 2021Stepwise Goal-Driven Networks for Trajectory Predictioncited by 62
- 2022Occupancy Flow Fields for Motion Forecasting in Autonomous Drivingcited by 62
- 2024HIMap: HybrId Representation Learning for End-to-end Vectorized HD Map Constructioncited by 48
- 2024SIMPL: A Simple and Efficient Multi-agent Motion Prediction Baseline for Autonomous Drivingcited by 27
- 2024VisionTrap: Vision-Augmented Trajectory Prediction Guided by Textual Descriptionscited by 19
- 2024OccFeat: Self-supervised Occupancy Feature Prediction for Pretraining BEV Segmentation Networkscited by 17
- 2022StopNet: Scalable Trajectory and Occupancy Prediction for Urban Autonomous Drivingcited by 14
- 2022Narrowing the Coordinate-frame Gap in Behavior Prediction Models: Distillation for Efficient and Accurate Scene-centric Motion Forecastingcited by 10
7 more
- 2024Improving Out-of-Distribution Generalization of Trajectory Prediction for Autonomous Driving via Polynomial Representationscited by 9
- 2024MoST: Multi-modality Scene Tokenization for Motion Predictioncited by 8
- 2021Raising context awareness in motion forecastingcited by 6
- 2022Neuroevolutionary Multi-objective approaches to Trajectory Prediction in Autonomous Vehiclescited by 5
- 2022An Empirical Bayes Analysis of Object Trajectory Representation Modelscited by 5
- 2022Trajectory Forecasting on Temporal Graphscited by 3
- 2024Conformal Trajectory Prediction with Multi-View Data Integration in Cooperative Drivingcited by 3
- 2024Conformal Trajectory Prediction with Multi-View Data Integration in Cooperative Driving1 Aug 2024
- 2024Improving Out-of-Distribution Generalization of Trajectory Prediction for Autonomous Driving via Polynomial Representations18 Jul 2024
- 2024VisionTrap: Vision-Augmented Trajectory Prediction Guided by Textual Descriptions17 Jul 2024
- 2024MoST: Multi-modality Scene Tokenization for Motion Prediction30 Apr 2024
- 2024OccFeat: Self-supervised Occupancy Feature Prediction for Pretraining BEV Segmentation Networks22 Apr 2024
- 2024HIMap: HybrId Representation Learning for End-to-end Vectorized HD Map Construction13 Mar 2024
- 2024SIMPL: A Simple and Efficient Multi-agent Motion Prediction Baseline for Autonomous Driving4 Feb 2024
- 2022Planning-oriented Autonomous Driving20 Dec 2022
- 2022An Empirical Bayes Analysis of Object Trajectory Representation Models3 Nov 2022
- 2022Trajectory Forecasting on Temporal Graphs1 Jul 2022
- 2022Narrowing the Coordinate-frame Gap in Behavior Prediction Models: Distillation for Efficient and Accurate Scene-centric Motion Forecasting8 Jun 2022
- 2022StopNet: Scalable Trajectory and Occupancy Prediction for Urban Autonomous Driving2 Jun 2022
7 more
- 2022Neuroevolutionary Multi-objective approaches to Trajectory Prediction in Autonomous Vehicles4 May 2022
- 2022Occupancy Flow Fields for Motion Forecasting in Autonomous Driving8 Mar 2022
- 2021MultiPath++: Efficient Information Fusion and Trajectory Aggregation for Behavior Prediction29 Nov 2021
- 2021Raising context awareness in motion forecasting16 Sep 2021
- 2021Scene Transformer: A unified architecture for predicting multiple agent trajectories15 Jun 2021
- 2021Large Scale Interactive Motion Forecasting for Autonomous Driving : The Waymo Open Motion Dataset20 Apr 2021
- 2021Stepwise Goal-Driven Networks for Trajectory Prediction25 Mar 2021
- 2022Planning-oriented Autonomous Drivingcited by 1,087
- 2021Large Scale Interactive Motion Forecasting for Autonomous Driving : The Waymo Open Motion Datasetcited by 537
- 2021MultiPath++: Efficient Information Fusion and Trajectory Aggregation for Behavior Predictioncited by 246
- 2021Stepwise Goal-Driven Networks for Trajectory Predictioncited by 62
- 2022Occupancy Flow Fields for Motion Forecasting in Autonomous Drivingcited by 62
- 2024HIMap: HybrId Representation Learning for End-to-end Vectorized HD Map Constructioncited by 48
- 2024SIMPL: A Simple and Efficient Multi-agent Motion Prediction Baseline for Autonomous Drivingcited by 27
- 2024VisionTrap: Vision-Augmented Trajectory Prediction Guided by Textual Descriptionscited by 19
- 2022StopNet: Scalable Trajectory and Occupancy Prediction for Urban Autonomous Drivingcited by 14
- 2022Narrowing the Coordinate-frame Gap in Behavior Prediction Models: Distillation for Efficient and Accurate Scene-centric Motion Forecastingcited by 10
- 2024Improving Out-of-Distribution Generalization of Trajectory Prediction for Autonomous Driving via Polynomial Representationscited by 9
- 2024MoST: Multi-modality Scene Tokenization for Motion Predictioncited by 8
12 most cited of 16 All 16 (JSON)
- 2024Improving Out-of-Distribution Generalization of Trajectory Prediction for Autonomous Driving via Polynomial Representations18 Jul 2024
- 2024VisionTrap: Vision-Augmented Trajectory Prediction Guided by Textual Descriptions17 Jul 2024
- 2024MoST: Multi-modality Scene Tokenization for Motion Prediction30 Apr 2024
- 2024HIMap: HybrId Representation Learning for End-to-end Vectorized HD Map Construction13 Mar 2024
- 2024SIMPL: A Simple and Efficient Multi-agent Motion Prediction Baseline for Autonomous Driving4 Feb 2024
- 2022Planning-oriented Autonomous Driving20 Dec 2022
- 2022An Empirical Bayes Analysis of Object Trajectory Representation Models3 Nov 2022
- 2022Trajectory Forecasting on Temporal Graphs1 Jul 2022
- 2022Narrowing the Coordinate-frame Gap in Behavior Prediction Models: Distillation for Efficient and Accurate Scene-centric Motion Forecasting8 Jun 2022
- 2022StopNet: Scalable Trajectory and Occupancy Prediction for Urban Autonomous Driving2 Jun 2022
- 2022Neuroevolutionary Multi-objective approaches to Trajectory Prediction in Autonomous Vehicles4 May 2022
- 2022Occupancy Flow Fields for Motion Forecasting in Autonomous Driving8 Mar 2022
12 newest of 16 All 16 (JSON)
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- 2022Model-Based Imitation Learning for Urban Driving
- 2019Urban Driving with Conditional Imitation Learning
- 2023PPAD: Iterative Interactions of Prediction and Planning for End-to-end Autonomous Driving
- 2025Predictive Planner for Autonomous Driving with Consistency Models
- 2026ProDrive: Proactive Planning for Autonomous Driving via Ego-Environment Co-Evolution