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Computer Science > Machine Learning

arXiv:2510.03669 (cs)
[Submitted on 4 Oct 2025 (v1), last revised 11 Nov 2025 (this version, v3)]

Title:Token Hidden Reward: Steering Exploration-Exploitation in Group Relative Deep Reinforcement Learning

Authors:Wenlong Deng, Yi Ren, Yushu Li, Boying Gong, Danica J. Sutherland, Xiaoxiao Li, Christos Thrampoulidis
View a PDF of the paper titled Token Hidden Reward: Steering Exploration-Exploitation in Group Relative Deep Reinforcement Learning, by Wenlong Deng and 6 other authors
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Abstract:Reinforcement learning with verifiable rewards has significantly advanced the reasoning capabilities of large language models, yet how to explicitly steer training toward exploration or exploitation remains an open problem. We introduce Token Hidden Reward (THR), a token-level metric that quantifies each token's influence on the likelihood of correct responses under Group Relative Policy Optimization (GRPO). We find that training dynamics are dominated by a small subset of tokens with high absolute THR values. Most interestingly, tokens with positive THR strengthen confidence in correct outputs, thus favoring exploitation, while tokens with negative THR preserve probability mass for alternative outputs, enabling exploration. This insight suggests a natural intervention: a THR-guided reweighting algorithm that modulates GRPO's learning signals to explicitly bias training toward exploitation or exploration. We validate the efficacy of this algorithm on diverse math reasoning benchmarks. By amplifying tokens with positive THR value and weakening negative ones, our algorithm improves greedy-decoding accuracy, favoring exploitation. The reverse strategy yields consistent gains in Pass@K accuracy, favoring exploration. We further demonstrate that our algorithm integrates seamlessly with other RL objectives such as GSPO and generalizes across architectures including Llama. These findings establish THR as a principled and fine-grained mechanism for dynamically controlling exploration and exploitation in RL-tuned LLMs, providing new tools for targeted fine-tuning in reasoning-intensive applications.
Comments: Full version of submission to 2nd AI for Math Workshop@ ICML 2025 (best paper)
Subjects: Machine Learning (cs.LG); Computation and Language (cs.CL)
Cite as: arXiv:2510.03669 [cs.LG]
  (or arXiv:2510.03669v3 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2510.03669
arXiv-issued DOI via DataCite

Submission history

From: Wenlong Deng [view email]
[v1] Sat, 4 Oct 2025 04:49:44 UTC (3,665 KB) (withdrawn)
[v2] Sat, 11 Oct 2025 22:16:29 UTC (3,665 KB) (withdrawn)
[v3] Tue, 11 Nov 2025 23:53:09 UTC (3,660 KB)
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