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This research investigates how learning rate dynamics during supervised fine-tuning can inadvertently trigger catastrophic forgetting in large language models, ultimately leading to performance degradation known as overtraining. By linking optimization sharpness with decay schedules, the study provides a mechanistic explanation for why certain training strategies erode fundamental capabilities acquired during pre-training. These findings are critical for refining post-training pipelines and preserving model utility across diverse tasks.
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(How) Learning Rates Regulate Catastrophic Overtraining

arXiv2 min read

arXiv:2604.13627v2 Announce Type: replace-cross Abstract: Supervised fine-tuning (SFT) is a common first stage of LLM post-training, teaching the model to follow instructions and shaping its behavior as a helpful assistant. At the same time, SFT may harm the fundamental capabilities of an LLM, particularly after long pretraining: a phenomenon known as catastrophic overtraining (Springer et al., 2025). To understand overtraining, we first investigate catastrophic forgetting in finetuning through the lens of implicit regularization of the learning rate. For models trained to the same SFT loss, we identify how the learning rate mediates optimization: finetuning with large and small steps converges to qualitatively different models. Next, we link forgetting to overtraining: learning rate decay increases the sharpness of the pretrained model, which in turn exacerbates catastrophic forgetting during SFT, leading to overtraining. Our findings paint a picture of the overtraining mechanism in LLMs and broadly contribute to the understanding of the interplay between optimization dynamics during pretraining and finetuning.

Abstract:Supervised fine-tuning (SFT) is a common first stage of LLM post-training, teaching the model to follow instructions and shaping its behavior as a helpful assistant. At the same time, SFT may harm the fundamental capabilities of an LLM, particularly after long pretraining: a phenomenon known as catastrophic overtraining (Springer et al., 2025). To understand overtraining, we first investigate catastrophic forgetting in finetuning through the lens of implicit regularization of the learning rate. For models trained to the same SFT loss, we identify how the learning rate mediates optimization: finetuning with large and small steps converges to qualitatively different models. Next, we link forgetting to overtraining: learning rate decay increases the sharpness of the pretrained model, which in turn exacerbates catastrophic forgetting during SFT, leading to overtraining. Our findings paint a picture of the overtraining mechanism in LLMs and broadly contribute to the understanding of the interplay between optimization dynamics during pretraining and finetuning.

Machine Learning (cs.LG); Computation and Language (cs.CL)

arXiv:2604.13627 [cs.LG]

(or arXiv:2604.13627v2 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2604.13627 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 249 words

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