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arXiv · 2605.16302

Reducing Credit Assignment Variance via Counterfactual Reasoning Paths

Abstract

Reinforcement learning for multi-step reasoning with large language models (LLMs) typically relies on sparse terminal rewards, which creates a poorly conditioned credit-assignment problem: the final feedback is propagated uniformly across all intermediate decisions. This leads to high gradient variance, unstable training, and many ineffective updates, ultimately limiting sustained model improvement. We propose a counterfactual-comparison framework for credit assignment. For each input, the framework samples multiple reasoning trajectories and treats their differences as implicit approximations to alternative decisions. This yields an implicit process-level advantage estimator that converts sparse terminal rewards into step-sensitive learning signals. Building on this framework, we introduce Implicit Behavior Policy Optimization (IBPO), which substantially improves training stability and the performance ceiling on mathematical and code-reasoning benchmarks. Our results point to a promising direction for unlocking the reasoning potential of LLMs.

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Fei Ding, Yongkang Zhang, Youwei Wang, Zijian Zeng. 2026-05-23. Reducing Credit Assignment Variance via Counterfactual Reasoning Paths. https://arxiv.org/abs/2605.16302

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