mlsanityData to 14 Oct 2026

Learning Risk-Aware Quadrupedal Locomotion using Distributional Reinforcement Learning

arXiv 2309.14246 ↗First posted 25 Sep 2023cs.RO cs.LGcited by 14

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Abstract (arXiv)

Deployment in hazardous environments requires robots to understand the risks associated with their actions and movements to prevent accidents. Despite its importance, these risks are not explicitly modeled by currently deployed locomotion controllers for legged robots. In this work, we propose a risk sensitive locomotion training method employing distributional reinforcement learning to consider safety explicitly. Instead of relying on a value expectation, we estimate the complete value distribution to account for uncertainty in the robot's interaction with the environment. The value distribution is consumed by a risk metric to extract risk sensitive value estimates. These are integrated into Proximal Policy Optimization (PPO) to derive our method, Distributional Proximal Policy Optimization (DPPO). The risk preference, ranging from risk-averse to risk-seeking, can be controlled by a single parameter, which enables to adjust the robot's behavior dynamically. Importantly, our approach removes the need for additional reward function tuning to achieve risk sensitivity. We show emergent risk sensitive locomotion behavior in simulation and on the quadrupedal robot ANYmal. Videos of the experiments and code are available at https://sites.google.com/leggedrobotics.com/risk-aware-locomotion.

Key facts. Cited by 14 papers in the map (data through 14 Oct 2026). Builds on 40 of its 55 references that are in the map. First posted on arXiv 25 Sep 2023.

Builds on

40 of 55 references.

References · 40

  1. 2017Proximal Policy Optimization Algorithmscited by 15,215
  2. 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,885
  3. 2015Continuous control with deep reinforcement learningcited by 3,407
  4. 2015Trust Region Policy Optimizationcited by 2,580
  5. 2018Addressing Function Approximation Error in Actor-Critic Methodscited by 2,417
  6. 2016Asynchronous Methods for Deep Reinforcement Learningcited by 2,258
  7. 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 2,026
  8. 2017A Distributional Perspective on Reinforcement Learningcited by 765
  9. 2020Learning Quadrupedal Locomotion over Challenging Terraincited by 604
  10. 2021Learning to Walk in Minutes Using Massively Parallel Deep Reinforcement Learningcited by 512
  11. 2019Learning agile and dynamic motor skills for legged robotscited by 504
  12. 2017Distributional Reinforcement Learning with Quantile Regressioncited by 474
28 more
  1. 2022Learning robust perceptive locomotion for quadrupedal robots in the wildcited by 382
  2. 2018Implicit Quantile Networks for Distributional Reinforcement Learningcited by 369
  3. 2018Sim-to-Real: Learning Agile Locomotion For Quadruped Robotscited by 319
  4. 2018Distributed Distributional Deterministic Policy Gradientscited by 199
  5. 2020Controlling Overestimation Bias with Truncated Mixture of Continuous Distributional Quantile Criticscited by 165
  6. 2022Legged Locomotion in Challenging Terrains using Egocentric Visioncited by 151
  7. 2023Learning Agile Soccer Skills for a Bipedal Robot with Deep Reinforcement Learningcited by 133
  8. 2017The Cramer Distance as a Solution to Biased Wasserstein Gradientscited by 119
  9. 2019Fully Parameterized Quantile Function for Distributional Reinforcement Learningcited by 88
  10. 2021Legged Robots that Keep on Learning: Fine-Tuning Locomotion Policies in the Real Worldcited by 71
  11. 2021Risk-Averse Offline Reinforcement Learningcited by 65
  12. 2019Statistics and Samples in Distributional Reinforcement Learningcited by 63
  13. 2019Distributional Reinforcement Learning for Efficient Explorationcited by 60
  14. 2017How Should a Robot Assess Risk? Towards an Axiomatic Theory of Risk in Roboticscited by 59
  15. 2020Dynamics Randomization Revisited:A Case Study for Quadrupedal Locomotioncited by 59
  16. 2019Worst Cases Policy Gradientscited by 52
  17. 2023Fast Traversability Estimation for Wild Visual Navigationcited by 44
  18. 2022Elevation Mapping for Locomotion and Navigation using GPUcited by 43
  19. 2023An Analysis of Quantile Temporal-Difference Learningcited by 31
  20. 2019Quantile QT-Opt for Risk-Aware Vision-Based Robotic Graspingcited by 29
  21. 2022Locomotion Policy Guided Traversability Learning using Volumetric Representations of Complex Environmentscited by 28
  22. 2020Autonomous Spot: Long-Range Autonomous Exploration of Extreme Environments with Legged Locomotioncited by 21
  23. 2021GMAC: A Distributional Perspective on Actor-Critic Frameworkcited by 16
  24. 2020Sample-based Distributional Policy Gradientcited by 14
  25. 2022Team CERBERUS Wins the DARPA Subterranean Challenge: Technical Overview and Lessons Learnedcited by 14
  26. 2021Addressing Inherent Uncertainty: Risk-Sensitive Behavior Generation for Automated Driving using Distributional Reinforcement Learningcited by 13
  27. 2021Automatic Risk Adaptation in Distributional Reinforcement Learningcited by 6
  28. 2022Risk-Sensitive Policy with Distributional Reinforcement Learningcited by 6

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Citing papers per year: 2024: 4; 2025: 5; 2026: 5.

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  1. 2026Shield-Loco: Shielding Locomotion Policies with Predictive Safety Filtering
  2. 2025Sampling Strategies for Robust Universal Quadrupedal Locomotion Policies
  3. 2026Safe Reinforcement Learning with Receding-Horizon Safety Critic and Differentiable Action Shields
  4. 2025Learning Robotic Policy with Imagined Transition: Mitigating the Trade-off between Robustness and Optimality
  5. 2023Learning Agile Locomotion on Risky Terrains
  6. 2025Whole-Body Constrained Learning for Legged Locomotion via Hierarchical Optimization
  7. 2024Reinforcement Learning For Quadrupedal Locomotion: Current Advancements And Future Perspectives
  8. 2025Safety-Aware Reinforcement Learning for Control via Risk-Sensitive Action-Value Iteration and Quantile Regression