C-RL details: LOO baseline cancels out in GRPO, no extra rollouts needed

shangbinfeng · x · 2026-10-21

This thread post adds method details for Compositional RL (C-RL): the policy is trained inside a live multi-LLM system — frozen collaborators plus the collaboration protocol form the environment, and the system's answer is the reward.

Key trick: the leave-one-out baseline cancels out in GRPO's group-relative advantage, so training on Shapley marginals requires no extra rollouts and no access to collaborator weights.

Related event: UW×NVIDIA's Compositional RL Trains a 27B Model to Be the Best Teammate in Multi-LLM Systems(5 posts)→

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