Count Counts: Motivating Exploration in LLM Reasoning with Count-based Intrinsic Rewards

Fuente: arXiv
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Autori principali: Zhang, Xuan, Li, Ruixiao, Zhou, Zhijian, Li, Long, Qin, Yulei, Li, Ke, Sun, Xing, Tan, Xiaoyu, Qu, Chao, Qi, Yuan
Natura: Preprint
Pubblicazione: 2025
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author Zhang, Xuan
Li, Ruixiao
Zhou, Zhijian
Li, Long
Qin, Yulei
Li, Ke
Sun, Xing
Tan, Xiaoyu
Qu, Chao
Qi, Yuan
author_facet Zhang, Xuan
Li, Ruixiao
Zhou, Zhijian
Li, Long
Qin, Yulei
Li, Ke
Sun, Xing
Tan, Xiaoyu
Qu, Chao
Qi, Yuan
contents Reinforcement Learning (RL) has become a compelling way to strengthen the multi step reasoning ability of Large Language Models (LLMs). However, prevalent RL paradigms still lean on sparse outcome-based rewards and limited exploration, which often drives LLMs toward repetitive and suboptimal reasoning patterns. In this paper, we study the central question of how to design exploration for LLM reasoning and introduce MERCI (Motivating Exploration in LLM Reasoning with Count-based Intrinsic Rewards), a novel RL algorithm that augments policy optimization with a principled intrinsic reward. Building on the idea of count-based exploration, MERCI leverages a lightweight Coin Flipping Network (CFN) to estimate the pseudo count and further epistemic uncertainty over reasoning trajectories, and converts them into an intrinsic reward that values novelty while preserving the learning signal from task rewards. We integrate MERCI into some advanced RL frameworks like Group Relative Policy Optimization (GRPO). Experiments on complex reasoning benchmarks demonstrate that MERCI encourages richer and more varied chains of thought, significantly improves performance over strong baselines, and helps the policy escape local routines to discover better solutions. It indicates that our targeted intrinsic motivation can make exploration reliable for language model reasoning.
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id arxiv_https___arxiv_org_abs_2510_16614
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Count Counts: Motivating Exploration in LLM Reasoning with Count-based Intrinsic Rewards
Zhang, Xuan
Li, Ruixiao
Zhou, Zhijian
Li, Long
Qin, Yulei
Li, Ke
Sun, Xing
Tan, Xiaoyu
Qu, Chao
Qi, Yuan
Artificial Intelligence
Reinforcement Learning (RL) has become a compelling way to strengthen the multi step reasoning ability of Large Language Models (LLMs). However, prevalent RL paradigms still lean on sparse outcome-based rewards and limited exploration, which often drives LLMs toward repetitive and suboptimal reasoning patterns. In this paper, we study the central question of how to design exploration for LLM reasoning and introduce MERCI (Motivating Exploration in LLM Reasoning with Count-based Intrinsic Rewards), a novel RL algorithm that augments policy optimization with a principled intrinsic reward. Building on the idea of count-based exploration, MERCI leverages a lightweight Coin Flipping Network (CFN) to estimate the pseudo count and further epistemic uncertainty over reasoning trajectories, and converts them into an intrinsic reward that values novelty while preserving the learning signal from task rewards. We integrate MERCI into some advanced RL frameworks like Group Relative Policy Optimization (GRPO). Experiments on complex reasoning benchmarks demonstrate that MERCI encourages richer and more varied chains of thought, significantly improves performance over strong baselines, and helps the policy escape local routines to discover better solutions. It indicates that our targeted intrinsic motivation can make exploration reliable for language model reasoning.
title Count Counts: Motivating Exploration in LLM Reasoning with Count-based Intrinsic Rewards
topic Artificial Intelligence
url https://arxiv.org/abs/2510.16614