Large Language Models

Progressive Residual Warmup for Language Model Pretraining

TTianhao ChenXXin XuLLu YinHHao ChenYYang WangSShizhe DiaoCCan Yang
Published
March 5, 2026
Authors
7
Word Count
8,085

ProRes improves Transformer pretraining by progressively warming up residual connections across layers.

Abstract

Transformer architectures serve as the backbone for most modern Large Language Models, therefore their pretraining stability and convergence speed are of central concern. Motivated by the logical dependency of sequentially stacked layers, we propose Progressive Residual Warmup (ProRes) for language model pretraining. ProRes implements an "early layer learns first" philosophy by multiplying each layer's residual with a scalar that gradually warms up from 0 to 1, with deeper layers taking longer warmup steps. In this way, deeper layers wait for early layers to settle into a more stable regime before contributing to learning. We demonstrate the effectiveness of ProRes through pretraining experiments across various model scales, as well as normalization and initialization schemes. Comprehensive analysis shows that ProRes not only stabilizes pretraining but also introduces a unique optimization trajectory, leading to faster convergence, stronger generalization and better downstream performance. Our code is available at https://github.com/dandingsky/ProRes.

Key Takeaways

  • 1

    ProRes staggers residual connection activation across layers, letting shallow layers stabilize before deeper layers engage.

  • 2

    The method improves training stability and convergence speed across model scales from 71M to 7B parameters.

  • 3

    Progressive residual warmup respects the temporal structure of Transformer training by coordinating layer-wise learning phases.

Limitations

  • The paper does not discuss computational overhead or wall-clock time impacts of the progressive warmup scheduling.

  • Applicability to other architectures beyond Pre-LN Transformers requires further investigation and validation.

Keywords

Transformer architecturesLarge Language Modelspretraining stabilityconvergence speedprogressive residual warmupresidual connectionlayer activationoptimization trajectorygeneralizationdownstream performance

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