ResearchResearch paperTraining & Scaling · Large Language Models1 source · Oct 14, 2026

ReGRA: Residual-Gradient Adaptation for Complementary Low-Rank Fine-Tuning

Low-rank adaptation (LoRA) enables parameter-efficient fine-tuning by learning low-rank weight updates.

Key points

  • Increasing rank expands adaptation capacity, but does not guarantee that all learned directions improve downstream performance.
  • In a diagnostic experiment with rank-16 LoRA, we show that retaining only the top singular components achieves the best performance, whereas adding further components degrades it.
  • Motivated by this, we propose Residual-Gradient Adaptation (ReGRA), a two-stage method for making more effective use of a fixed rank budget.
  • An orthogonality regularizer encourages the two updates to capture complementary directions.

Sources (1)

  • [1]ReGRA: Residual-Gradient Adaptation for Complementary Low-Rank Fine-Tuning
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 14, 07:23 AM
    Low-rank adaptation (LoRA) enables parameter-efficient fine-tuning by learning low-rank weight updates.
    Increasing rank expands adaptation capacity, but does not guarantee that all learned directions improve downstream performance.

Extractive summary: sentences quoted from the sources.

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