Worst Cases Policy Gradients
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Abstract (arXiv)
Recent advances in deep reinforcement learning have demonstrated the capability of learning complex control policies from many types of environments. When learning policies for safety-critical applications, it is essential to be sensitive to risks and avoid catastrophic events. Towards this goal, we propose an actor-critic framework that models the uncertainty of the future and simultaneously learns a policy based on that uncertainty model. Specifically, given a distribution of the future return for any state and action, we optimize policies for varying levels of conditional Value-at-Risk. The learned policy can map the same state to different actions depending on the propensity for risk. We demonstrate the effectiveness of our approach in the domain of driving simulations, where we learn maneuvers in two scenarios. Our learned controller can dynamically select actions along a continuous axis, where safe and conservative behaviors are found at one end while riskier behaviors are found at the other. Finally, when testing with very different simulation parameters, our risk-averse policies generalize significantly better compared to other reinforcement learning approaches.
Key facts. Cited by 52 papers in the map (data through 14 Oct 2026). First posted on arXiv 9 Nov 2019.
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Citing papers per year: 2020: 1; 2021: 12; 2022: 8; 2023: 15; 2024: 5; 2025: 5; 2026: 6.
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- 2021Maximum Entropy RL (Provably) Solves Some Robust RL Problemscited by 176
- 2021Conservative Offline Distributional Reinforcement Learningcited by 79
- 2021Risk-Averse Offline Reinforcement Learningcited by 65
- 2022Efficient Risk-Averse Reinforcement Learningcited by 43
- 2021How to Certify Machine Learning Based Safety-critical Systems? A Systematic Literature Reviewcited by 39
- 2021RMIX: Learning Risk-Sensitive Policies for Cooperative Reinforcement Learning Agentscited by 31
- 2021Risk-Averse Bayes-Adaptive Reinforcement Learningcited by 29
- 2020Bayesian Robust Optimization for Imitation Learningcited by 28
- 2022Regret Bounds for Risk-Sensitive Reinforcement Learningcited by 26
- 2023Improving Generalization of Alignment with Human Preferences through Group Invariant Learningcited by 25
- 2022Robust Policy Learning over Multiple Uncertainty Setscited by 18
- 2023Learning Risk-Aware Quadrupedal Locomotion using Distributional Reinforcement Learningcited by 14
38 more
- 2021Lyapunov Barrier Policy Optimizationcited by 12
- 2023An Alternative to Variance: Gini Deviation for Risk-averse Policy Gradientcited by 12
- 2021Policy Gradient Bayesian Robust Optimization for Imitation Learningcited by 11
- 2021Minimizing Safety Interference for Safe and Comfortable Automated Driving with Distributional Reinforcement Learningcited by 10
- 2023ReLU to the Rescue: Improve Your On-Policy Actor-Critic with Positive Advantagescited by 10
- 2023Adjustable Robust Reinforcement Learning for Online 3D Bin Packingcited by 10
- 2024RACER: Epistemic Risk-Sensitive RL Enables Fast Driving with Fewer Crashescited by 10
- 2024A Simple Mixture Policy Parameterization for Improving Sample Efficiency of CVaR Optimizationcited by 7
- 2025Risk-Averse Finetuning of Large Language Modelscited by 7
- 2022Adaptive Risk-Tendency: Nano Drone Navigation in Cluttered Environments with Distributional Reinforcement Learningcited by 6
- 2022Risk-Sensitive Policy with Distributional Reinforcement Learningcited by 6
- 2023Learning Diverse Risk Preferences in Population-based Self-playcited by 6
- 2023On the Theory of Risk-Aware Agents: Bridging Actor-Critic and Economicscited by 6
- 2025Return Capping: Sample-Efficient CVaR Policy Gradient Optimisationcited by 6
- 2021Planning for Risk-Aversion and Expected Value in MDPscited by 5
- 2023Extreme Risk Mitigation in Reinforcement Learning using Extreme Value Theorycited by 5
- 2023TRC: Trust Region Conditional Value at Risk for Safe Reinforcement Learningcited by 5
- 2021DESTA: A Framework for Safe Reinforcement Learning with Markov Games of Interventioncited by 4
- 2025Safety Representations for Safer Policy Learningcited by 4
- 2021Learning to Be Cautiouscited by 3
- 2022GIN: Graph-based Interaction-aware Constraint Policy Optimization for Autonomous Drivingcited by 3
- 2022Distributional Actor-Critic Ensemble for Uncertainty-Aware Continuous Controlcited by 3
- 2024Handling Long-Term Safety and Uncertainty in Safe Reinforcement Learningcited by 3
- 2022Distributional Reinforcement Learning for Scheduling of Chemical Production Processescited by 2
- 2023Is Risk-Sensitive Reinforcement Learning Properly Resolved?cited by 2
- 2023Absolute Policy Optimizationcited by 2
- 2024UOEP: User-Oriented Exploration Policy for Enhancing Long-Term User Experiences in Recommender Systemscited by 2
- 2024Diffusion Policies for Risk-Averse Behavior Modeling in Offline Reinforcement Learningcited by 2
- 2023Risk-sensitive Actor-free Policy via Convex Optimizationcited by 1
- 2023Risk-Aware Continuous Control with Neural Contextual Banditscited by 1
- 2026Safe Langevin Soft Actor Criticcited by 1
- 2026RS-Diffuser: Risk-Sensitive Diffusion Planning with Distributional Value Guidancecited by 1
- 2023Forward-PECVaR Algorithm: Exact Evaluation for CVaR SSPscited by 0
- 2023Risk-Sensitive and Robust Model-Based Reinforcement Learning and Planningcited by 0
- 2025DIAL: Distribution-Informed Adaptive Learning of Multi-Task Constraints for Safety-Critical Systemscited by 0
- 2025Ensemble RL through Classifier Models: Enhancing Risk-Return Trade-offs in Trading Strategiescited by 0
- 2026Stochastic Actor-Critic: Mitigating Overestimation via Temporal Aleatoric Uncertaintycited by 0
- 2026Reward Redistribution for CVaR MDPs using a Bellman Operator on L-infinitycited by 0
50 most cited of 52 All 52 (JSON)
- 2026RS-Diffuser: Risk-Sensitive Diffusion Planning with Distributional Value Guidance26 Jun 2026
- 2026When Does Adaptive Guidance Help? Belief-Aware Privileged Distillation for Autonomous Driving Under Partial Observability24 May 2026
- 2026Safe Urban Traffic Control via Uncertainty-Aware Conformal Prediction and World-Model Reinforcement Learning4 Feb 2026
- 2026Reward Redistribution for CVaR MDPs using a Bellman Operator on L-infinity3 Feb 2026
- 2026Safe Langevin Soft Actor Critic31 Jan 2026
- 2026Stochastic Actor-Critic: Mitigating Overestimation via Temporal Aleatoric Uncertainty2 Jan 2026
- 2025Return Capping: Sample-Efficient CVaR Policy Gradient Optimisation29 Apr 2025
- 2025Safety Representations for Safer Policy Learning27 Feb 2025
- 2025Ensemble RL through Classifier Models: Enhancing Risk-Return Trade-offs in Trading Strategies23 Feb 2025
- 2025DIAL: Distribution-Informed Adaptive Learning of Multi-Task Constraints for Safety-Critical Systems30 Jan 2025
- 2025Risk-Averse Finetuning of Large Language Models12 Jan 2025
- 2024Handling Long-Term Safety and Uncertainty in Safe Reinforcement Learning18 Sep 2024
38 more
- 2024RACER: Epistemic Risk-Sensitive RL Enables Fast Driving with Fewer Crashes7 May 2024
- 2024Diffusion Policies for Risk-Averse Behavior Modeling in Offline Reinforcement Learning26 Mar 2024
- 2024A Simple Mixture Policy Parameterization for Improving Sample Efficiency of CVaR Optimization17 Mar 2024
- 2024UOEP: User-Oriented Exploration Policy for Enhancing Long-Term User Experiences in Recommender Systems17 Jan 2024
- 2023Risk-Aware Continuous Control with Neural Contextual Bandits15 Dec 2023
- 2023TRC: Trust Region Conditional Value at Risk for Safe Reinforcement Learning1 Dec 2023
- 2023On the Theory of Risk-Aware Agents: Bridging Actor-Critic and Economics30 Oct 2023
- 2023Absolute Policy Optimization20 Oct 2023
- 2023Improving Generalization of Alignment with Human Preferences through Group Invariant Learning18 Oct 2023
- 2023Adjustable Robust Reinforcement Learning for Online 3D Bin Packing6 Oct 2023
- 2023Learning Risk-Aware Quadrupedal Locomotion using Distributional Reinforcement Learning25 Sep 2023
- 2023Extreme Risk Mitigation in Reinforcement Learning using Extreme Value Theory24 Aug 2023
- 2023An Alternative to Variance: Gini Deviation for Risk-averse Policy Gradient17 Jul 2023
- 2023Is Risk-Sensitive Reinforcement Learning Properly Resolved?2 Jul 2023
- 2023Risk-sensitive Actor-free Policy via Convex Optimization30 Jun 2023
- 2023ReLU to the Rescue: Improve Your On-Policy Actor-Critic with Positive Advantages2 Jun 2023
- 2023Learning Diverse Risk Preferences in Population-based Self-play19 May 2023
- 2023Risk-Sensitive and Robust Model-Based Reinforcement Learning and Planning2 Apr 2023
- 2023Forward-PECVaR Algorithm: Exact Evaluation for CVaR SSPs1 Mar 2023
- 2022Risk-Sensitive Policy with Distributional Reinforcement Learning30 Dec 2022
- 2022Regret Bounds for Risk-Sensitive Reinforcement Learning11 Oct 2022
- 2022Distributional Actor-Critic Ensemble for Uncertainty-Aware Continuous Control27 Jul 2022
- 2022GIN: Graph-based Interaction-aware Constraint Policy Optimization for Autonomous Driving3 Jun 2022
- 2022Efficient Risk-Averse Reinforcement Learning10 May 2022
- 2022Adaptive Risk-Tendency: Nano Drone Navigation in Cluttered Environments with Distributional Reinforcement Learning28 Mar 2022
- 2022Distributional Reinforcement Learning for Scheduling of Chemical Production Processes1 Mar 2022
- 2022Robust Policy Learning over Multiple Uncertainty Sets14 Feb 2022
- 2021Learning to Be Cautious29 Oct 2021
- 2021DESTA: A Framework for Safe Reinforcement Learning with Markov Games of Intervention27 Oct 2021
- 2021Planning for Risk-Aversion and Expected Value in MDPs25 Oct 2021
- 2021How to Certify Machine Learning Based Safety-critical Systems? A Systematic Literature Review26 Jul 2021
- 2021Minimizing Safety Interference for Safe and Comfortable Automated Driving with Distributional Reinforcement Learning15 Jul 2021
- 2021Conservative Offline Distributional Reinforcement Learning12 Jul 2021
- 2021Policy Gradient Bayesian Robust Optimization for Imitation Learning11 Jun 2021
- 2021Lyapunov Barrier Policy Optimization16 Mar 2021
- 2021Maximum Entropy RL (Provably) Solves Some Robust RL Problems10 Mar 2021
- 2021RMIX: Learning Risk-Sensitive Policies for Cooperative Reinforcement Learning Agents16 Feb 2021
- 2021Risk-Averse Bayes-Adaptive Reinforcement Learning10 Feb 2021
50 newest of 52 All 52 (JSON)
- 2024A Simple Mixture Policy Parameterization for Improving Sample Efficiency of CVaR Optimizationcited by 7
- 2025Return Capping: Sample-Efficient CVaR Policy Gradient Optimisationcited by 6
- 2025Safety Representations for Safer Policy Learningcited by 4
- 2024Handling Long-Term Safety and Uncertainty in Safe Reinforcement Learningcited by 3
- 2024UOEP: User-Oriented Exploration Policy for Enhancing Long-Term User Experiences in Recommender Systemscited by 2
- 2026Safe Langevin Soft Actor Criticcited by 1
- 2025DIAL: Distribution-Informed Adaptive Learning of Multi-Task Constraints for Safety-Critical Systemscited by 0
- 2025Ensemble RL through Classifier Models: Enhancing Risk-Return Trade-offs in Trading Strategiescited by 0
- 2026Stochastic Actor-Critic: Mitigating Overestimation via Temporal Aleatoric Uncertaintycited by 0
- 2026When Does Adaptive Guidance Help? Belief-Aware Privileged Distillation for Autonomous Driving Under Partial Observabilitycited by 0
- 2026When Does Adaptive Guidance Help? Belief-Aware Privileged Distillation for Autonomous Driving Under Partial Observability24 May 2026
- 2026Safe Langevin Soft Actor Critic31 Jan 2026
- 2026Stochastic Actor-Critic: Mitigating Overestimation via Temporal Aleatoric Uncertainty2 Jan 2026
- 2025Return Capping: Sample-Efficient CVaR Policy Gradient Optimisation29 Apr 2025
- 2025Safety Representations for Safer Policy Learning27 Feb 2025
- 2025Ensemble RL through Classifier Models: Enhancing Risk-Return Trade-offs in Trading Strategies23 Feb 2025
- 2025DIAL: Distribution-Informed Adaptive Learning of Multi-Task Constraints for Safety-Critical Systems30 Jan 2025
- 2024Handling Long-Term Safety and Uncertainty in Safe Reinforcement Learning18 Sep 2024
- 2024A Simple Mixture Policy Parameterization for Improving Sample Efficiency of CVaR Optimization17 Mar 2024
- 2024UOEP: User-Oriented Exploration Policy for Enhancing Long-Term User Experiences in Recommender Systems17 Jan 2024
- 2021Conservative Offline Distributional Reinforcement Learningcited by 79
- 2021Risk-Averse Offline Reinforcement Learningcited by 65
- 2020Bayesian Robust Optimization for Imitation Learningcited by 28
- 2021Policy Gradient Bayesian Robust Optimization for Imitation Learningcited by 11
- 2024Diffusion Policies for Risk-Averse Behavior Modeling in Offline Reinforcement Learningcited by 2
- 2026RS-Diffuser: Risk-Sensitive Diffusion Planning with Distributional Value Guidancecited by 1
- 2026RS-Diffuser: Risk-Sensitive Diffusion Planning with Distributional Value Guidance26 Jun 2026
- 2024Diffusion Policies for Risk-Averse Behavior Modeling in Offline Reinforcement Learning26 Mar 2024
- 2021Conservative Offline Distributional Reinforcement Learning12 Jul 2021
- 2021Policy Gradient Bayesian Robust Optimization for Imitation Learning11 Jun 2021
- 2021Risk-Averse Offline Reinforcement Learning10 Feb 2021
- 2020Bayesian Robust Optimization for Imitation Learning24 Jul 2020
- 2021Minimizing Safety Interference for Safe and Comfortable Automated Driving with Distributional Reinforcement Learningcited by 10
- 2024RACER: Epistemic Risk-Sensitive RL Enables Fast Driving with Fewer Crashescited by 10
- 2022GIN: Graph-based Interaction-aware Constraint Policy Optimization for Autonomous Drivingcited by 3
- 2024RACER: Epistemic Risk-Sensitive RL Enables Fast Driving with Fewer Crashes7 May 2024
- 2022GIN: Graph-based Interaction-aware Constraint Policy Optimization for Autonomous Driving3 Jun 2022
- 2021Minimizing Safety Interference for Safe and Comfortable Automated Driving with Distributional Reinforcement Learning15 Jul 2021
- 2021Maximum Entropy RL (Provably) Solves Some Robust RL Problemscited by 176
- 2022Efficient Risk-Averse Reinforcement Learningcited by 43
- 2021How to Certify Machine Learning Based Safety-critical Systems? A Systematic Literature Reviewcited by 39
- 2021RMIX: Learning Risk-Sensitive Policies for Cooperative Reinforcement Learning Agentscited by 31
- 2021Risk-Averse Bayes-Adaptive Reinforcement Learningcited by 29
- 2022Regret Bounds for Risk-Sensitive Reinforcement Learningcited by 26
- 2022Robust Policy Learning over Multiple Uncertainty Setscited by 18
- 2023Learning Risk-Aware Quadrupedal Locomotion using Distributional Reinforcement Learningcited by 14
- 2021Lyapunov Barrier Policy Optimizationcited by 12
- 2023An Alternative to Variance: Gini Deviation for Risk-averse Policy Gradientcited by 12
- 2023ReLU to the Rescue: Improve Your On-Policy Actor-Critic with Positive Advantagescited by 10
- 2023Adjustable Robust Reinforcement Learning for Online 3D Bin Packingcited by 10
12 most cited of 31 All 31 (JSON)
- 2026Reward Redistribution for CVaR MDPs using a Bellman Operator on L-infinity3 Feb 2026
- 2025Risk-Averse Finetuning of Large Language Models12 Jan 2025
- 2023Risk-Aware Continuous Control with Neural Contextual Bandits15 Dec 2023
- 2023TRC: Trust Region Conditional Value at Risk for Safe Reinforcement Learning1 Dec 2023
- 2023On the Theory of Risk-Aware Agents: Bridging Actor-Critic and Economics30 Oct 2023
- 2023Absolute Policy Optimization20 Oct 2023
- 2023Adjustable Robust Reinforcement Learning for Online 3D Bin Packing6 Oct 2023
- 2023Learning Risk-Aware Quadrupedal Locomotion using Distributional Reinforcement Learning25 Sep 2023
- 2023Extreme Risk Mitigation in Reinforcement Learning using Extreme Value Theory24 Aug 2023
- 2023An Alternative to Variance: Gini Deviation for Risk-averse Policy Gradient17 Jul 2023
- 2023Is Risk-Sensitive Reinforcement Learning Properly Resolved?2 Jul 2023
- 2023Risk-sensitive Actor-free Policy via Convex Optimization30 Jun 2023
12 newest of 31 All 31 (JSON)