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Paper · arXiv

Reward-Aware Population Scaling of Evolutionary Strategies in LLM Fine-Tuning

Using Evolutionary Strategies (ES) for fine-tuning large language models is attractive because it is memory-efficient, parallel, and compatible with black-box or discrete rewards. Yet its population-size conclusions conflict sharply: fine-tuning with cross-entropy (CE) reward succeeds with $N=1$, while binary-reward training often needs $N \approx 30$. We show this gap is largely about reward design and normalization, not population size. In the capable-model regime we study, z-score advantage normalization can cause $N=2$ to fail. Disabling normalization lets binary-reward ES with $N=2$ improve on GSM8K and TREC across capable models spanning 0.5B-7B, where the normalized variant collaps...

AuthorsSung Cho, Gyubin Han
Primary categorycs.LG
Published8 July 2026
Last updated at source8 July 2026
cs.LG
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