mlsanityData to 7 Oct 2026

Balancing Constraints and Rewards with Meta-Gradient D4PG

arXiv 2010.06324 ↗First posted 13 Oct 2020cs.LG cs.AI stat.MLcited by 18

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Abstract (arXiv)

Deploying Reinforcement Learning (RL) agents to solve real-world applications often requires satisfying complex system constraints. Often the constraint thresholds are incorrectly set due to the complex nature of a system or the inability to verify the thresholds offline (e.g, no simulator or reasonable offline evaluation procedure exists). This results in solutions where a task cannot be solved without violating the constraints. However, in many real-world cases, constraint violations are undesirable yet they are not catastrophic, motivating the need for soft-constrained RL approaches. We present a soft-constrained RL approach that utilizes meta-gradients to find a good trade-off between expected return and minimizing constraint violations. We demonstrate the effectiveness of this approach by showing that it consistently outperforms the baselines across four different MuJoCo domains.

Key facts. Cited by 18 papers in the map (data through 7 Oct 2026). First posted on arXiv 13 Oct 2020.

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Citing papers per year: 2021: 5; 2022: 2; 2023: 5; 2024: 5; 2025: 1.

18 papers.

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  1. 2023Confronting Reward Model Overoptimization with Constrained RLHFcited by 96
  2. 2021Reward is enough for convex MDPscited by 82
  3. 2022Discovering Policies with DOMiNO: Diversity Optimization Maintaining Near Optimalitycited by 35
  4. 2021Direct Behavior Specification via Constrained Reinforcement Learningcited by 30
  5. 2021Safe Driving via Expert Guided Policy Optimizationcited by 29
  6. 2022MuZero with Self-competition for Rate Control in VP9 Video Compressioncited by 27
  7. 2023Last-Iterate Convergent Policy Gradient Primal-Dual Methods for Constrained MDPscited by 27
  8. 2024Balance Reward and Safety Optimization for Safe Reinforcement Learning: A Perspective of Gradient Manipulationcited by 21
  9. 2021Discovering Diverse Nearly Optimal Policies with Successor Featurescited by 20
  10. 2023ReLOAD: Reinforcement Learning with Optimistic Ascent-Descent for Last-Iterate Convergence in Constrained MDPscited by 19
  11. 2023IQ-Flow: Mechanism Design for Inducing Cooperative Behavior to Self-Interested Agents in Sequential Social Dilemmascited by 3
  12. 2024Meta SAC-Lag: Towards Deployable Safe Reinforcement Learning via MetaGradient-based Hyperparameter Tuningcited by 3
6 more
  1. 2024Inverse Concave-Utility Reinforcement Learning is Inverse Game Theorycited by 2
  2. 2021DeCOM: Decomposed Policy for Constrained Cooperative Multi-Agent Reinforcement Learningcited by 1
  3. 2023Evolving Constrained Reinforcement Learning Policycited by 1
  4. 2024Imitating Cost-Constrained Behaviors in Reinforcement Learningcited by 1
  5. 2024Effective Reward Specification in Deep Reinforcement Learningcited by 0
  6. 2025Don't Trade Off Safety: Diffusion Regularization for Constrained Offline RLcited by 0