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Risk sensitive twin distributional critics with a lambda lower confidence bound for continuous control reinforcement

Onur Osman1, Bahar Yalcin Kavus2, Tolga Kudret Karaca3

  • 1Department of Electric Electronics Engineering, İstanbul Topkapi University, 34087, Istanbul, Turkey.

Scientific Reports
|January 30, 2026
PubMed
Summary

Twin Distributional Critics with λ-Lower Confidence Bound (TDC-λ) enhance off-policy reinforcement learning by using distributional critics to control risk. This method improves stability and reduces variance in continuous control tasks without sacrificing sample efficiency.

Keywords:
Actor–critic methodsContinuous controlDistributional reinforcement learningReinforcement learningRisk-sensitive control

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Reinforcement Learning

Background:

  • Off-policy actor-critic methods, like Twin Delayed Deep Deterministic Policy Gradient (TD3), are foundational for continuous-control reinforcement learning.
  • Existing methods lack explicit mechanisms for risk control in temporal-difference targets, relying on scalar value estimates.

Purpose of the Study:

  • Introduce Twin Distributional Critics with λ-Lower Confidence Bound (TDC-λ), a novel algorithm for risk-sensitive reinforcement learning.
  • Develop a TD3-style algorithm that incorporates distributional critics and a risk parameter (λ) for target selection.

Main Methods:

  • Implemented a TD3-style algorithm featuring two distributional critics.
  • Formulated targets using a lower confidence bound (μ - λσ) across critics to manage risk.
  • Supported both deterministic and Gaussian policies, with deterministic mean action used for evaluation.

Main Results:

  • TDC-λ matched or improved final returns on standard MuJoCo benchmarks (HalfCheetah-v4, Hopper-v4, Ant-v4, Walker2d-v4, Humanoid-v4).
  • Consistently reduced variance across tasks compared to strong baselines.
  • Demonstrated improved robustness on high-dimensional domains with increased risk penalties (higher λ).

Conclusions:

  • Distributional critics combined with risk-sensitive target selection significantly enhance stability in off-policy reinforcement learning.
  • TDC-λ offers a method to improve robustness and reduce variance without compromising sample efficiency.