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Paper · arXiv

Normalized Low-Rank Adaptation

While low-rank adaptation (LoRA) is widely used for parameter-efficient model adaptation, how to regularize its training dynamics for stable and effective optimization remains underexplored. Because LoRA initializes the up-projection to zero, its early optimization dynamics are largely governed by the down-projection. Building on this observation, we introduce Normalized Low-Rank Adaptation (NoRA), a simple yet effective method that normalizes the down-projection matrices during training. We further show that the same normalization can be applied only at initialization, improving standard LoRA without requiring repeated normalization throughout training. Across pretraining, supervised fin...

AuthorsJiale Kang, Ziyin Yue, Zheng Zhan et al.
Primary categorycs.LG
Published31 August 2026
Last updated at source31 August 2026
cs.LG
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