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Bibliographic Details
Main Authors: Gan, Xingwei, Zhu, Ying
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.20555
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author Gan, Xingwei
Zhu, Ying
author_facet Gan, Xingwei
Zhu, Ying
contents We introduce a novel method that averages the logits of a frozen reference policy (e.g., SFT) and a trainable policy, and incorporate the method into Group Relative Policy Optimization (GRPO). In contrast to Reinforcement Learning with Verifiable Rewards (RLVR) methods, our proposal does not involve a Kullback Leibler (KL) regularization or critic; the trainable policy and the reference anchor are coupled through the logit averaging structure to leverage the reasoning expertise of the trainable policy while maintaining the formatting advantage of SFT. Our method is evaluated on MATH, cn-k12, and MMLU, and the results show a higher accuracy or at least comparable accuracy relative to the canonical KL-regularized GRPO.
format Preprint
id arxiv_https___arxiv_org_abs_2605_20555
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Complementing reinforcement learning with SFT through logit averaging in the post training of LLMs
Gan, Xingwei
Zhu, Ying
Machine Learning
Artificial Intelligence
We introduce a novel method that averages the logits of a frozen reference policy (e.g., SFT) and a trainable policy, and incorporate the method into Group Relative Policy Optimization (GRPO). In contrast to Reinforcement Learning with Verifiable Rewards (RLVR) methods, our proposal does not involve a Kullback Leibler (KL) regularization or critic; the trainable policy and the reference anchor are coupled through the logit averaging structure to leverage the reasoning expertise of the trainable policy while maintaining the formatting advantage of SFT. Our method is evaluated on MATH, cn-k12, and MMLU, and the results show a higher accuracy or at least comparable accuracy relative to the canonical KL-regularized GRPO.
title Complementing reinforcement learning with SFT through logit averaging in the post training of LLMs
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2605.20555