LGAICLJan 28

Evolutionary Strategies lead to Catastrophic Forgetting in LLMs

arXiv:2601.20861v12 citationsh-index: 25
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This work addresses the problem of catastrophic forgetting in continual learning for AI researchers, highlighting a critical limitation of ES that is incremental but important for deploying adaptive systems.

The paper investigates Evolutionary Strategies (ES) as a gradient-free alternative for training LLMs in continual learning, finding that while ES achieves performance close to GRPO on math and reasoning tasks, it suffers from significant catastrophic forgetting of prior abilities, limiting its online applicability.

One of the biggest missing capabilities in current AI systems is the ability to learn continuously after deployment. Implementing such continually learning systems have several challenges, one of which is the large memory requirement of gradient-based algorithms that are used to train state-of-the-art LLMs. Evolutionary Strategies (ES) have recently re-emerged as a gradient-free alternative to traditional learning algorithms and have shown encouraging performance on specific tasks in LLMs. In this paper, we perform a comprehensive analysis of ES and specifically evaluate its forgetting curves when training for an increasing number of update steps. We first find that ES is able to reach performance numbers close to GRPO for math and reasoning tasks with a comparable compute budget. However, and most importantly for continual learning, the performance gains in ES is accompanied by significant forgetting of prior abilities, limiting its applicability for training models online. We also explore the reason behind this behavior and show that the updates made using ES are much less sparse and have orders of magnitude larger $\ell_2$ norm compared to corresponding GRPO updates, explaining the contrasting forgetting curves between the two algorithms. With this study, we aim to highlight the issue of forgetting in gradient-free algorithms like ES and hope to inspire future work to mitigate these issues.

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