Trajectory Prediction in Autonomous Driving with a Lane Heading Auxiliary Loss
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Abstract (arXiv)
Predicting a vehicle's trajectory is an essential ability for autonomous vehicles navigating through complex urban traffic scenes. Bird's-eye-view roadmap information provides valuable information for making trajectory predictions, and while state-of-the-art models extract this information via image convolution, auxiliary loss functions can augment patterns inferred from deep learning by further encoding common knowledge of social and legal driving behaviors. Since human driving behavior is inherently multimodal, models which allow for multimodal output tend to outperform single-prediction models on standard metrics. We propose a loss function which enhances such models by enforcing expected driving rules on all predicted modes. Our contribution to trajectory prediction is twofold; we propose a new metric which addresses failure cases of the off-road rate metric by penalizing trajectories that oppose the ascribed heading (flow direction) of a driving lane, and we show this metric to be differentiable and therefore suitable as an auxiliary loss function. We then use this auxiliary loss to extend the the standard multiple trajectory prediction (MTP) and MultiPath models, achieving improved results on the nuScenes prediction benchmark by predicting trajectories which better conform to the lane-following rules of the road.
Key facts. Cited by 30 papers in the map (data through 7 Oct 2026). First posted on arXiv 12 Nov 2020.
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Citing papers per year: 2021: 3; 2022: 1; 2023: 7; 2024: 11; 2025: 4; 2026: 4.
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- 2021LaneAF: Robust Multi-Lane Detection with Affinity Fieldscited by 41
- 2023The Integration of Prediction and Planning in Deep Learning Automated Driving Systems: A Reviewcited by 29
- 2024Towards Explainable, Safe Autonomous Driving with Language Embeddings for Novelty Identification and Active Learning: Framework and Experimental Analysis with Real-World Data Setscited by 25
- 2024The Why, When, and How to Use Active Learning in Large-Data-Driven 3D Object Detection for Safe Autonomous Driving: An Empirical Explorationcited by 17
- 2024ActiveAnno3D -- An Active Learning Framework for Multi-Modal 3D Object Detectioncited by 17
- 2024Language-Driven Active Learning for Diverse Open-Set 3D Object Detectioncited by 15
- 2024doScenes: An Autonomous Driving Dataset with Natural Language Instruction for Human Interaction and Vision-Language Navigationcited by 14
- 2025Trajectory Prediction for Autonomous Driving: Progress, Limitations, and Future Directionscited by 14
- 2021On Salience-Sensitive Sign Classification in Autonomous Vehicle Path Planning: Experimental Explorations with a Novel Datasetcited by 13
- 2022Diverse Multiple Trajectory Prediction Using a Two-stage Prediction Network Trained with Lane Losscited by 12
- 2023Safe Control Transitions: Machine Vision Based Observable Readiness Index and Data-Driven Takeover Time Predictioncited by 12
- 2023Robust Traffic Light Detection Using Salience-Sensitive Loss: Computational Framework and Evaluationscited by 11
18 more
- 2021Early Lane Change Prediction for Automated Driving Systems Using Multi-Task Attention-based Convolutional Neural Networkscited by 10
- 2023Pedestrian Behavior Maps for Safety Advisories: CHAMP Framework and Real-World Data Analysiscited by 9
- 2025Can Vision-Language Models Understand and Interpret Dynamic Gestures from Pedestrians? Pilot Datasets and Exploration Towards Instructive Nonverbal Commands for Cooperative Autonomous Vehiclescited by 9
- 2023Multimodal Manoeuvre and Trajectory Prediction for Automated Driving on Highways Using Transformer Networkscited by 7
- 2023PBP: Path-based Trajectory Prediction for Autonomous Drivingcited by 6
- 2026Natural Language Instructions for Scene-Responsive Human-in-the-Loop Motion Planning in Autonomous Driving using Vision-Language-Action Modelscited by 5
- 2024ProIn: Learning to Predict Trajectory Based on Progressive Interactions for Autonomous Drivingcited by 3
- 2024Risk-aware Trajectory Prediction by Incorporating Spatio-temporal Traffic Interaction Analysiscited by 3
- 2024SPHINX: Structural Prediction using Hypergraph Inference Networkcited by 3
- 2024Perception Without Vision for Trajectory Prediction: Ego Vehicle Dynamics as Scene Representation for Efficient Active Learning in Autonomous Drivingcited by 2
- 2024Transfer Learning from Simulated to Real Scenes for Monocular 3D Object Detectioncited by 2
- 2026FeaXDrive: Feasibility-aware Trajectory-Centric Diffusion Planning for End-to-End Autonomous Drivingcited by 2
- 2023Patterns of Vehicle Lights: Addressing Complexities in Curation and Annotation of Camera-Based Vehicle Light Datasets and Metricscited by 1
- 2025MTR-VP: Towards End-to-End Trajectory Planning through Context-Driven Image Encoding and Multiple Trajectory Predictioncited by 1
- 2026When Stopping Fails: Rethinking Minimal Risk Conditions through Human-Interactive Autonomous Driving for Safe Transportation Systemscited by 1
- 2026What Do They See? Interpreting Complex Road Scenarios Through the Eyes of Vision-Language-Action Models for Safe and Trustworthy Autonomous Vehicle Learningcited by 1
- 2024Planning-Aware Diffusion Networks for Enhanced Motion Forecasting in Autonomous Drivingcited by 0
- 2025Measuring What Matters: Scenario-Driven Evaluation for Trajectory Predictors in Autonomous Drivingcited by 0
- 2026What Do They See? Interpreting Complex Road Scenarios Through the Eyes of Vision-Language-Action Models for Safe and Trustworthy Autonomous Vehicle Learning18 Jul 2026
- 2026When Stopping Fails: Rethinking Minimal Risk Conditions through Human-Interactive Autonomous Driving for Safe Transportation Systems27 Jun 2026
- 2026FeaXDrive: Feasibility-aware Trajectory-Centric Diffusion Planning for End-to-End Autonomous Driving14 Apr 2026
- 2026Natural Language Instructions for Scene-Responsive Human-in-the-Loop Motion Planning in Autonomous Driving using Vision-Language-Action Models4 Feb 2026
- 2025Measuring What Matters: Scenario-Driven Evaluation for Trajectory Predictors in Autonomous Driving13 Dec 2025
- 2025MTR-VP: Towards End-to-End Trajectory Planning through Context-Driven Image Encoding and Multiple Trajectory Prediction27 Nov 2025
- 2025Can Vision-Language Models Understand and Interpret Dynamic Gestures from Pedestrians? Pilot Datasets and Exploration Towards Instructive Nonverbal Commands for Cooperative Autonomous Vehicles15 Apr 2025
- 2025Trajectory Prediction for Autonomous Driving: Progress, Limitations, and Future Directions5 Mar 2025
- 2024doScenes: An Autonomous Driving Dataset with Natural Language Instruction for Human Interaction and Vision-Language Navigation8 Dec 2024
- 2024Planning-Aware Diffusion Networks for Enhanced Motion Forecasting in Autonomous Driving25 Oct 2024
- 2024SPHINX: Structural Prediction using Hypergraph Inference Network4 Oct 2024
- 2024Transfer Learning from Simulated to Real Scenes for Monocular 3D Object Detection28 Aug 2024
18 more
- 2024Risk-aware Trajectory Prediction by Incorporating Spatio-temporal Traffic Interaction Analysis15 Jul 2024
- 2024Perception Without Vision for Trajectory Prediction: Ego Vehicle Dynamics as Scene Representation for Efficient Active Learning in Autonomous Driving15 May 2024
- 2024Language-Driven Active Learning for Diverse Open-Set 3D Object Detection19 Apr 2024
- 2024ProIn: Learning to Predict Trajectory Based on Progressive Interactions for Autonomous Driving25 Mar 2024
- 2024Towards Explainable, Safe Autonomous Driving with Language Embeddings for Novelty Identification and Active Learning: Framework and Experimental Analysis with Real-World Data Sets11 Feb 2024
- 2024ActiveAnno3D -- An Active Learning Framework for Multi-Modal 3D Object Detection5 Feb 2024
- 2024The Why, When, and How to Use Active Learning in Large-Data-Driven 3D Object Detection for Safe Autonomous Driving: An Empirical Exploration30 Jan 2024
- 2023PBP: Path-based Trajectory Prediction for Autonomous Driving7 Sep 2023
- 2023The Integration of Prediction and Planning in Deep Learning Automated Driving Systems: A Review10 Aug 2023
- 2023Patterns of Vehicle Lights: Addressing Complexities in Curation and Annotation of Camera-Based Vehicle Light Datasets and Metrics26 Jul 2023
- 2023Robust Traffic Light Detection Using Salience-Sensitive Loss: Computational Framework and Evaluations8 May 2023
- 2023Pedestrian Behavior Maps for Safety Advisories: CHAMP Framework and Real-World Data Analysis8 May 2023
- 2023Multimodal Manoeuvre and Trajectory Prediction for Automated Driving on Highways Using Transformer Networks28 Mar 2023
- 2023Safe Control Transitions: Machine Vision Based Observable Readiness Index and Data-Driven Takeover Time Prediction14 Jan 2023
- 2022Diverse Multiple Trajectory Prediction Using a Two-stage Prediction Network Trained with Lane Loss17 Jun 2022
- 2021On Salience-Sensitive Sign Classification in Autonomous Vehicle Path Planning: Experimental Explorations with a Novel Dataset2 Dec 2021
- 2021Early Lane Change Prediction for Automated Driving Systems Using Multi-Task Attention-based Convolutional Neural Networks22 Sep 2021
- 2021LaneAF: Robust Multi-Lane Detection with Affinity Fields22 Mar 2021
- 2024doScenes: An Autonomous Driving Dataset with Natural Language Instruction for Human Interaction and Vision-Language Navigationcited by 14
- 2026FeaXDrive: Feasibility-aware Trajectory-Centric Diffusion Planning for End-to-End Autonomous Drivingcited by 2
- 2026What Do They See? Interpreting Complex Road Scenarios Through the Eyes of Vision-Language-Action Models for Safe and Trustworthy Autonomous Vehicle Learningcited by 1
- 2025Measuring What Matters: Scenario-Driven Evaluation for Trajectory Predictors in Autonomous Drivingcited by 0
- 2026What Do They See? Interpreting Complex Road Scenarios Through the Eyes of Vision-Language-Action Models for Safe and Trustworthy Autonomous Vehicle Learning18 Jul 2026
- 2026FeaXDrive: Feasibility-aware Trajectory-Centric Diffusion Planning for End-to-End Autonomous Driving14 Apr 2026
- 2025Measuring What Matters: Scenario-Driven Evaluation for Trajectory Predictors in Autonomous Driving13 Dec 2025
- 2024doScenes: An Autonomous Driving Dataset with Natural Language Instruction for Human Interaction and Vision-Language Navigation8 Dec 2024
- 2021LaneAF: Robust Multi-Lane Detection with Affinity Fieldscited by 41
- 2023The Integration of Prediction and Planning in Deep Learning Automated Driving Systems: A Reviewcited by 29
- 2024Towards Explainable, Safe Autonomous Driving with Language Embeddings for Novelty Identification and Active Learning: Framework and Experimental Analysis with Real-World Data Setscited by 25
- 2024The Why, When, and How to Use Active Learning in Large-Data-Driven 3D Object Detection for Safe Autonomous Driving: An Empirical Explorationcited by 17
- 2024ActiveAnno3D -- An Active Learning Framework for Multi-Modal 3D Object Detectioncited by 17
- 2024Language-Driven Active Learning for Diverse Open-Set 3D Object Detectioncited by 15
- 2025Trajectory Prediction for Autonomous Driving: Progress, Limitations, and Future Directionscited by 14
- 2021On Salience-Sensitive Sign Classification in Autonomous Vehicle Path Planning: Experimental Explorations with a Novel Datasetcited by 13
- 2022Diverse Multiple Trajectory Prediction Using a Two-stage Prediction Network Trained with Lane Losscited by 12
- 2023Safe Control Transitions: Machine Vision Based Observable Readiness Index and Data-Driven Takeover Time Predictioncited by 12
- 2023Robust Traffic Light Detection Using Salience-Sensitive Loss: Computational Framework and Evaluationscited by 11
- 2021Early Lane Change Prediction for Automated Driving Systems Using Multi-Task Attention-based Convolutional Neural Networkscited by 10
12 most cited of 24 All 24 (JSON)
- 2026When Stopping Fails: Rethinking Minimal Risk Conditions through Human-Interactive Autonomous Driving for Safe Transportation Systems27 Jun 2026
- 2025MTR-VP: Towards End-to-End Trajectory Planning through Context-Driven Image Encoding and Multiple Trajectory Prediction27 Nov 2025
- 2025Trajectory Prediction for Autonomous Driving: Progress, Limitations, and Future Directions5 Mar 2025
- 2024Planning-Aware Diffusion Networks for Enhanced Motion Forecasting in Autonomous Driving25 Oct 2024
- 2024SPHINX: Structural Prediction using Hypergraph Inference Network4 Oct 2024
- 2024Transfer Learning from Simulated to Real Scenes for Monocular 3D Object Detection28 Aug 2024
- 2024Risk-aware Trajectory Prediction by Incorporating Spatio-temporal Traffic Interaction Analysis15 Jul 2024
- 2024Perception Without Vision for Trajectory Prediction: Ego Vehicle Dynamics as Scene Representation for Efficient Active Learning in Autonomous Driving15 May 2024
- 2024Language-Driven Active Learning for Diverse Open-Set 3D Object Detection19 Apr 2024
- 2024ProIn: Learning to Predict Trajectory Based on Progressive Interactions for Autonomous Driving25 Mar 2024
- 2024Towards Explainable, Safe Autonomous Driving with Language Embeddings for Novelty Identification and Active Learning: Framework and Experimental Analysis with Real-World Data Sets11 Feb 2024
- 2024ActiveAnno3D -- An Active Learning Framework for Multi-Modal 3D Object Detection5 Feb 2024
12 newest of 24 All 24 (JSON)