Layer Importance for Mathematical Reasoning is Forged in Pre-Training and Invariant after Post-Training

arXiv — cs.LGThursday, November 6, 2025 at 5:00:00 AM

Layer Importance for Mathematical Reasoning is Forged in Pre-Training and Invariant after Post-Training

Recent research highlights that large language models can significantly enhance their mathematical reasoning abilities through various training methods. This study reveals that the improvements are not due to drastic changes in the model's structure but rather depend on a few critical layers that maintain their importance even after training. Understanding these layers is crucial as it can lead to more efficient training processes and better performance in mathematical tasks, which is essential for applications in education and technology.
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