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ESSAM: A Novel Competitive Evolution Strategies Approach to Reinforcement Learning for Memory Efficient LLMs Fine-Tuning

arXiv:2602.01003v1
Originality Incremental advance
AI Analysis

This addresses memory efficiency for fine-tuning LLMs in resource-limited settings, offering a competitive alternative to RL methods with substantial memory savings.

The paper tackles the high GPU memory usage in reinforcement learning for fine-tuning large language models on mathematical reasoning by proposing ESSAM, which combines Evolution Strategies with Sharpness-Aware Maximization, achieving an average accuracy of 78.27% on GSM8K and reducing GPU memory usage by up to 18x compared to PPO.

Reinforcement learning (RL) has become a key training step for improving mathematical reasoning in large language models (LLMs), but it often has high GPU memory usage, which makes it hard to use in settings with limited resources. To reduce these issues, we propose Evolution Strategies with Sharpness-Aware Maximization (ESSAM), a full parameter fine-tuning framework that tightly combines the zero-order search in parameter space from Evolution Strategies (ES) with the Sharpness-Aware Maximization (SAM) to improve generalization. We conduct fine-tuning experiments on the mainstream mathematica reasoning task GSM8K. The results show that ESSAM achieves an average accuracy of 78.27\% across all models and its overall performance is comparable to RL methods. It surpasses classic RL algorithm PPO with an accuracy of 77.72\% and is comparable to GRPO with an accuracy of 78.34\%, and even surpassing them on some models. In terms of GPU memory usage, ESSAM reduces the average GPU memory usage by $18\times$ compared to PPO and by $10\times$ compared to GRPO, achieving an extremely low GPU memory usage.

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