RAPID: An Efficient Reinforcement Learning Algorithm for Small Language Models

Lianghuan Huang, Sagnik Anupam, Insup Lee, Shuo Li, Osbert Bastani
10/3/2025
cs.LG

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Abstract

Reinforcement learning (RL) has emerged as a promising strategy for finetuning small language models (SLMs) to solve targeted tasks such as math and coding. However, RL algorithms tend to be resource-intensive, taking a significant amount of time to train. We propose RAPID, a novel RL algorithm that can substantially reduce the running time of RL. Our key insight is that RL tends to be costly due to the need to perform both inference and backpropagation during training. To maximize use of computational resources, our algorithm performs inference in large batches, and then performs off-policy policy gradient updates in mini-batches. For off-policy updates, we incorporate group advantage estimation into the policy gradient algorithm, and derive an importance weighted estimator to correct for the bias arising from off-policy learning. Our experiments demonstrate that our algorithm can reduce running time by 11%-34% on three benchmarks compared to state-of-the-art RL algorithms while maintaining similar or better accuracy.

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Cite this paper

@article{huang2025rapid,
  title  = {RAPID: An Efficient Reinforcement Learning Algorithm for Small Language Models},
  author = {Lianghuan Huang and Sagnik Anupam and Insup Lee and Shuo Li and Osbert Bastani},
  year   = {2025},
  eprint = {2510.03515},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2510.03515v1}
}

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