ResearchResearch paperReinforcement Learning1 source · Oct 8, 2026

A Unified Bellman Operator for Safety-Critical Reinforcement Learning

Reinforcement learning in safety-critical domains requires maximizing task performance while strictly adhering to safety constraints.

Key points

  • Existing safe reinforcement learning paradigms typically force a trade-off: they either require a priori knowledge to provide strict safety guarantees (e.g., safety filters), or they enable joint learning but only satisfy safety constraints on average.
  • In this work, we propose a novel Bellman operator that unifies performance and safety objectives into a joint value function.
  • We show that temporal difference learning with the joint Bellman operator converges under a two-timescale stochastic approximation framework.
  • Empirical evaluations on continuous control tasks with neural approximations demonstrate stable convergence with near-zero safety violations at test time.

Sources (1)

  • [1]A Unified Bellman Operator for Safety-Critical Reinforcement Learning
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 8, 05:53 PM
    Reinforcement learning in safety-critical domains requires maximizing task performance while strictly adhering to safety constraints.
    Existing safe reinforcement learning paradigms typically force a trade-off: they either require a priori knowledge to provide strict safety guarantees (e.g., safety filters), or they enable joint learning but only satisfy safety constraints on average.

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