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Autores principales: Zhai, Zepeng, Chen, Meilin, Zhao, Jiaxuan, Qian, Junlang, Shen, Lei, Lu, Yuan
Formato: Preprint
Publicado: 2026
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Acceso en línea:https://arxiv.org/abs/2602.05630
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author Zhai, Zepeng
Chen, Meilin
Zhao, Jiaxuan
Qian, Junlang
Shen, Lei
Lu, Yuan
author_facet Zhai, Zepeng
Chen, Meilin
Zhao, Jiaxuan
Qian, Junlang
Shen, Lei
Lu, Yuan
contents Reinforcement Learning with Verifiable Rewards has recently advanced the capabilities of Large Language Models in complex reasoning tasks by providing explicit rule-based supervision. Among RLVR methods, GRPO and its variants have achieved strong empirical performance. Despite their success, we identify that they suffer from Gradient Misassignment in Positives and Gradient Domination in Negatives, which lead to inefficient and suboptimal policy updates. To address these issues, we propose Rewards as Labels (REAL), a novel framework that revisits verifiable rewards as categorical labels rather than scalar weights, thereby reformulating policy optimization as a classification problem. Building on this, we further introduce anchor logits to enhance policy learning. Our analysis reveals that REAL induces a monotonic and bounded gradient weighting, enabling balanced gradient allocation across rollouts and effectively mitigating the identified mismatches. Extensive experiments on mathematical reasoning benchmarks show that REAL improves training stability and consistently outperforms GRPO and strong variants such as DAPO. On the 1.5B model, REAL improves average Pass@1 over DAPO by 6.7%. These gains further scale to 7B model, REAL continues to outperform DAPO and GSPO by 6.2% and 1.7%, respectively. Notably, even with a vanilla binary cross-entropy, REAL remains stable and exceeds DAPO by 4.5% on average.
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publishDate 2026
record_format arxiv
spellingShingle Rewards as Labels: Revisiting RLVR from a Classification Perspective
Zhai, Zepeng
Chen, Meilin
Zhao, Jiaxuan
Qian, Junlang
Shen, Lei
Lu, Yuan
Machine Learning
Computation and Language
Reinforcement Learning with Verifiable Rewards has recently advanced the capabilities of Large Language Models in complex reasoning tasks by providing explicit rule-based supervision. Among RLVR methods, GRPO and its variants have achieved strong empirical performance. Despite their success, we identify that they suffer from Gradient Misassignment in Positives and Gradient Domination in Negatives, which lead to inefficient and suboptimal policy updates. To address these issues, we propose Rewards as Labels (REAL), a novel framework that revisits verifiable rewards as categorical labels rather than scalar weights, thereby reformulating policy optimization as a classification problem. Building on this, we further introduce anchor logits to enhance policy learning. Our analysis reveals that REAL induces a monotonic and bounded gradient weighting, enabling balanced gradient allocation across rollouts and effectively mitigating the identified mismatches. Extensive experiments on mathematical reasoning benchmarks show that REAL improves training stability and consistently outperforms GRPO and strong variants such as DAPO. On the 1.5B model, REAL improves average Pass@1 over DAPO by 6.7%. These gains further scale to 7B model, REAL continues to outperform DAPO and GSPO by 6.2% and 1.7%, respectively. Notably, even with a vanilla binary cross-entropy, REAL remains stable and exceeds DAPO by 4.5% on average.
title Rewards as Labels: Revisiting RLVR from a Classification Perspective
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2602.05630