HRP: High-Rank Preheating for Superior LoRA Initialization

• URL: http://arxiv.org/abs/2502.07739v2
• Date: Mon, 17 Feb 2025 13:39:51 GMT
• Title: HRP: High-Rank Preheating for Superior LoRA Initialization
• Authors: Yuzhu Chen, Yingjie Wang, Shi Fu, Li Shen, Yongcheng Jing, Xinmei Tian, Dacheng Tao,
• Abstract summary: High-Rank Preheating (HRP) is proposed to fine-tune Low-Rank Adaptation (LoRA) HRP significantly enhances LoRA's generalization effectiveness across various models and tasks.
• Score: 58.3319586613105
• License:
• Abstract: This paper studies the crucial impact of initialization on the convergence properties of Low-Rank Adaptation (LoRA). We theoretically demonstrate that random initialization, a widely used schema, will likely lead LoRA to random low-rank results, rather than the best low-rank result. While this issue can be mitigated by adjusting initialization towards a well-informed direction, it relies on prior knowledge of the target, which is typically unknown in real-world scenarios. To approximate this well-informed initial direction, we propose High-Rank Preheating (HRP), which fine-tunes high-rank LoRA for a few steps and uses the singular value decomposition of the preheated result as a superior initialization. HRP initialization is theory-supported to combine the convergence strengths of high-rank LoRA and the generalization strengths of low-rank LoRA. Extensive experiments demonstrate that HRP significantly enhances LoRA's effectiveness across various models and tasks, achieving performance comparable to full-parameter fine-tuning and outperforming other initialization strategies.

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