AISep 30, 2025

Diversity-Incentivized Exploration for Versatile Reasoning

arXiv:2509.26209v117 citationsh-index: 14Has Code
Originality Incremental advance
AI Analysis

This addresses the challenge of improving reasoning capabilities in large language models for AI applications, representing an incremental advance in exploration strategies.

The paper tackles the problem of deficient exploration and poor sample efficiency in reinforcement learning for reasoning tasks by proposing DIVER, a framework that uses global sequence-level diversity as an intrinsic reward, resulting in outperformance of competitive baselines on in-domain and out-of-domain tasks in Pass@1 and Pass@k evaluations.

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a crucial paradigm for incentivizing reasoning capabilities in Large Language Models (LLMs). Due to vast state-action spaces and reward sparsity in reasoning tasks, existing methods often struggle with deficient exploration and poor sample efficiency. In the paper, we propose \textbf{DIVER} (\textbf{D}iversity-\textbf{I}ncentivized Exploration for \textbf{V}ersatil\textbf{E} \textbf{R}easoning), an innovative framework that highlights the pivotal role of global sequence-level diversity to incentivize deep exploration for versatile reasoning. We first conduct a primary empirical study to reveal a strong positive correlation between global diversity and reasoning capacity. Building on this insight, we introduce global diversity incentives as an intrinsic reward to promote deep exploration in a semantically structured space. Incorporating the intrinsic reward, we develop a potential-based reward shaping mechanism to preserve optimal policy invariance and design simple heuristics to mitigate possible reward hacking. Experimental results show that DIVER outperforms competitive RLVR baselines with various exploration strategies on both in-domain and out-of-domain tasks, excelling in both Pass@1 and Pass@k evaluations. Our code is available at https://github.com/NJU-RL/DIVER.

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