mlsanityData to 7 Oct 2026

Optimal Transport-Assisted Risk-Sensitive Q-Learning

arXiv 2406.11774 ↗First posted 17 Jun 2024cs.LG cs.SY eess.SYcited by 3

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Abstract (arXiv)

The primary goal of reinforcement learning is to develop decision-making policies that prioritize optimal performance without considering risk or safety. In contrast, safe reinforcement learning aims to mitigate or avoid unsafe states. This paper presents a risk-sensitive Q-learning algorithm that leverages optimal transport theory to enhance the agent safety. By integrating optimal transport into the Q-learning framework, our approach seeks to optimize the policy's expected return while minimizing the Wasserstein distance between the policy's stationary distribution and a predefined risk distribution, which encapsulates safety preferences from domain experts. We validate the proposed algorithm in a Gridworld environment. The results indicate that our method significantly reduces the frequency of visits to risky states and achieves faster convergence to a stable policy compared to the traditional Q-learning algorithm.

Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Builds on 28 of its 38 references that are in the map. First posted on arXiv 17 Jun 2024.

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28 of 38 references.

References · 28

  1. 2017Constrained Policy Optimizationcited by 928
  2. 2017Safe Reinforcement Learning via Shieldingcited by 427
  3. 2017Safe Model-based Reinforcement Learning with Stability Guaranteescited by 347
  4. 2015Risk-Constrained Reinforcement Learning with Percentile Risk Criteriacited by 320
  5. 2018Safe Exploration in Continuous Action Spacescited by 237
  6. 2020Projection-Based Constrained Policy Optimizationcited by 195
  7. 2022A Review of Safe Reinforcement Learning: Methods, Theory and Applicationscited by 169
  8. 2019Lyapunov-based Safe Policy Optimization for Continuous Controlcited by 140
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  10. 2018Learning-based Model Predictive Control for Safe Explorationcited by 116
  11. 2019Safe Reinforcement Learning Using Robust MPCcited by 72
  12. 2019Finite Sample Analysis of Stochastic System Identificationcited by 67
16 more
  1. 2020Cautious Reinforcement Learning with Logical Constraintscited by 44
  2. 2015Shield Synthesis: Runtime Enforcement for Reactive Systemscited by 41
  3. 2019Learning to Score Behaviors for Guided Policy Optimizationcited by 34
  4. 2018Policy Optimization as Wasserstein Gradient Flowscited by 33
  5. 2019Deep Reinforcement Learning with Enhanced Safety for Autonomous Highway Drivingcited by 21
  6. 2024Balance Reward and Safety Optimization for Safe Reinforcement Learning: A Perspective of Gradient Manipulationcited by 21
  7. 2022A Survey on Reinforcement Learning in Aviation Applicationscited by 19
  8. 2018Optimal Transport on Discrete Domainscited by 16
  9. 2022CUP: A Conservative Update Policy Algorithm for Safe Reinforcement Learningcited by 16
  10. 2023Optimal Transport Perturbations for Safe Reinforcement Learning with Robustness Guaranteescited by 9
  11. 2023Risk-Aware Reinforcement Learning through Optimal Transport Theorycited by 7
  12. 2023Understanding Reward Ambiguity Through Optimal Transport Theory in Inverse Reinforcement Learningcited by 6
  13. 2024The Synergy Between Optimal Transport Theory and Multi-Agent Reinforcement Learningcited by 5
  14. 2022Safe Exploration Method for Reinforcement Learning under Existence of Disturbancecited by 3
  15. 2023Leveraging Optimal Transport for Enhanced Offline Reinforcement Learning in Surgical Robotic Environmentscited by 3
  16. 2024How does Your RL Agent Explore? An Optimal Transport Analysis of Occupancy Measure Trajectoriescited by 1

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