Unlocking Reasoning Capabilities in LLMs via Reinforcement Learning Exploration

Fuente: arXiv
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Hauptverfasser: Deng, Wenhao, Wei, Long, Yu, Chenglei, Wu, Tailin
Format: Preprint
Veröffentlicht: 2025
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author Deng, Wenhao
Wei, Long
Yu, Chenglei
Wu, Tailin
author_facet Deng, Wenhao
Wei, Long
Yu, Chenglei
Wu, Tailin
contents Reinforcement learning with verifiable rewards (RLVR) has recently enhanced the reasoning capabilities of large language models (LLMs), particularly for mathematical problem solving. However, a fundamental limitation remains: as the sampling budget increases, the advantage of RLVR-trained models over their pretrained bases often diminishes or even vanishes, revealing a strong dependence on the base model's restricted search space. We attribute this phenomenon to the widespread use of the reverse Kullback-Leibler (KL) divergence regularizer, whose mode-seeking behavior keeps the policy trapped inside the base model's support region and hampers wider exploration. To address this issue, we propose RAPO (Rewards-Aware Policy Optimization), an algorithm to promote broader yet focused exploration. Our method (i) utilizes the forward KL penalty to replace the reverse KL penalty for out-of-distribution exploration, and (ii) reweights the reference policy to facilitate adaptive in-distribution exploration. We train Qwen2.5-3B and 7B models with RAPO on the 8K SimpleRL-Zero dataset, without supervised fine-tuning, and evaluate them on AIME2024 and AIME2025. Results show that RAPO consistently improves problem-solving performance. Notably, RAPO enables models to surpass the base model's performance ceiling and solves previously intractable problems, advancing the frontier of RLVR for challenging reasoning tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2510_03865
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unlocking Reasoning Capabilities in LLMs via Reinforcement Learning Exploration
Deng, Wenhao
Wei, Long
Yu, Chenglei
Wu, Tailin
Machine Learning
Artificial Intelligence
Computation and Language
Reinforcement learning with verifiable rewards (RLVR) has recently enhanced the reasoning capabilities of large language models (LLMs), particularly for mathematical problem solving. However, a fundamental limitation remains: as the sampling budget increases, the advantage of RLVR-trained models over their pretrained bases often diminishes or even vanishes, revealing a strong dependence on the base model's restricted search space. We attribute this phenomenon to the widespread use of the reverse Kullback-Leibler (KL) divergence regularizer, whose mode-seeking behavior keeps the policy trapped inside the base model's support region and hampers wider exploration. To address this issue, we propose RAPO (Rewards-Aware Policy Optimization), an algorithm to promote broader yet focused exploration. Our method (i) utilizes the forward KL penalty to replace the reverse KL penalty for out-of-distribution exploration, and (ii) reweights the reference policy to facilitate adaptive in-distribution exploration. We train Qwen2.5-3B and 7B models with RAPO on the 8K SimpleRL-Zero dataset, without supervised fine-tuning, and evaluate them on AIME2024 and AIME2025. Results show that RAPO consistently improves problem-solving performance. Notably, RAPO enables models to surpass the base model's performance ceiling and solves previously intractable problems, advancing the frontier of RLVR for challenging reasoning tasks.
title Unlocking Reasoning Capabilities in LLMs via Reinforcement Learning Exploration
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2510.03865