Paper Overview
Field: Machine Learning Authors: Yuxing Liu, Jianyu Wang, Tong Zhang Published: 2026-05-07 arXiv: 2605.06654Abstract
Optimizers play an important role in both the pretraining and finetuning stages of large language model (LLM) training. In this paper, we present an observation: during the supervised finetuning (SFT) stage, full finetuning with the same optimizer used in pretraining achieves a better learning-forgetting tradeoff—reaching equal or better performance on new tasks while forgetting less—outperforming other optimizers, and perhaps surprisingly, also outperforming LoRA in some cases. We call this phenomenon optimizer-model consistency.To better understand it, through controlled experiments and theoretical analysis, we show that:
1. Optimizers can shape the model through regularization effects on activations, leading to different loss landscapes around the pretraining checkpoint. 2. In response to this regularization effect, weight updates during SFT should follow certain specific structures to reduce forgetting of knowledge learned during pretraining—and this can be achieved by using the same optimizer.
Additionally, we specifically compare Muon and AdamW when used in both the pretraining and SFT stages, finding that Muon performs worse when finetuning reasoning tasks. Through a synthetic language modeling experiment, we demonstrate that this may stem from Muon's strong tendency toward rote memorization, which can impair pattern acquisition in small-data regimes, as is the case in SFT.
--- *Automatically collected on 2026-05-10*