Adversarial Mixture Density Networks: Learning to Drive Safely from Collision Data
On the map: Offline RL and imitation learning from data → Imitation and offline RL for driving
Abstract (arXiv)
Imitation learning has been widely used to learn control policies for autonomous driving based on pre-recorded data. However, imitation learning based policies have been shown to be susceptible to compounding errors when encountering states outside of the training distribution. Further, these agents have been demonstrated to be easily exploitable by adversarial road users aiming to create collisions. To overcome these shortcomings, we introduce Adversarial Mixture Density Networks (AMDN), which learns two distributions from separate datasets. The first is a distribution of safe actions learned from a dataset of naturalistic human driving. The second is a distribution representing unsafe actions likely to lead to collision, learned from a dataset of collisions. During training, we leverage these two distributions to provide an additional loss based on the similarity of the two distributions. By penalising the safe action distribution based on its similarity to the unsafe action distribution when training on the collision dataset, a more robust and safe control policy is obtained. We demonstrate the proposed AMDN approach in a vehicle following use-case, and evaluate under naturalistic and adversarial testing environments. We show that despite its simplicity, AMDN provides significant benefits for the safety of the learned control policy, when compared to pure imitation learning or standard mixture density network approaches.
Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Placed in Imitation and offline RL for driving, one of 13 directions in Offline RL and imitation learning from data. Builds on 17 of its 37 references that are in the map. First posted on arXiv 9 Jul 2021.
Builds on
17 of 37 references.
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Other references · 16
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2016Generative Adversarial Imitation Learningcited by 1,576
- 2017Deep Reinforcement Learning that Matterscited by 727
- 2018An Algorithmic Perspective on Imitation Learningcited by 455
- 2019Causal Confusion in Imitation Learningcited by 286
- 2017Deep Reinforcement Learning framework for Autonomous Drivingcited by 224
- 2019A Survey of Deep Learning Applications to Autonomous Vehicle Controlcited by 101
- 2019Overcoming Limitations of Mixture Density Networks: A Sampling and Fitting Framework for Multimodal Future Predictioncited by 96
- 2018On Offline Evaluation of Vision-based Driving Modelscited by 62
- 2018Deep Object-Centric Policies for Autonomous Drivingcited by 41
- 2018Probabilistic Prediction of Vehicle Semantic Intention and Motioncited by 31
- 2018End-to-End Learning of Driving Models with Surround-View Cameras and Route Plannerscited by 27
4 more
- 2017Uncertainty-Aware Learning from Demonstration using Mixture Density Networks with Sampling-Free Variance Modelingcited by 25
- 2020Training Adversarial Agents to Exploit Weaknesses in Deep Control Policiescited by 24
- 2017Autonomous Braking System via Deep Reinforcement Learningcited by 18
- 2019Learning Probabilistic Multi-Modal Actor Models for Vision-Based Robotic Graspingcited by 5
Built on by
Citing papers per year: 2023: 2; 2024: 1; 2025: 1.
4 papers.
- 2024MoVEInt: Mixture of Variational Experts for Learning Human-Robot Interactions from Demonstrationscited by 3
- 2023Symbolic Imitation Learning: From Black-Box to Explainable Driving Policiescited by 1
- 2025Offline Reinforcement Learning using Human-Aligned Reward Labeling for Autonomous Emergency Braking in Occluded Pedestrian Crossingcited by 1
- 2023Human-Like Autonomous Driving on Dense Trafficcited by 0
- 2025Offline Reinforcement Learning using Human-Aligned Reward Labeling for Autonomous Emergency Braking in Occluded Pedestrian Crossing11 Apr 2025
- 2024MoVEInt: Mixture of Variational Experts for Learning Human-Robot Interactions from Demonstrations10 Jul 2024
- 2023Human-Like Autonomous Driving on Dense Traffic3 Oct 2023
- 2023Symbolic Imitation Learning: From Black-Box to Explainable Driving Policies27 Sep 2023
Similar, not cited
Close in wording, no citation either way
- 2024AdvDiffuser: Generating Adversarial Safety-Critical Driving Scenarios via Guided Diffusion
- 2025Robust Planning for Autonomous Driving via Mixed Adversarial Diffusion Predictions
- 2022SHAIL: Safety-Aware Hierarchical Adversarial Imitation Learning for Autonomous Driving in Urban Environments
- 2026From Attacks to Curricula: Learnability-Guided Adversarial Training for Safe Autonomous Driving
- 2025Generative Modeling for Adversarial Lane-Change Scenarios ↗
- 2026Safety-Critical Scenarios Emerge from Initial Scenes ↗
- 2024Adversarial Safety-Critical Scenario Generation using Naturalistic Human Driving Priors
- 2021Adversarial Deep Reinforcement Learning for Improving the Robustness of Multi-agent Autonomous Driving Policies