Delta-LoRA: Fine-Tuning High-Rank Parameters with the Delta of Low-Rank Matrices
This work addresses the problem of inefficient fine-tuning for downstream tasks in large language models, offering a parameter-efficient solution with comparable memory and computational costs to prior methods.
Delta-LoRA tackles the limitation of low-rank adaptation methods in fine-tuning large language models by updating both low-rank matrices and pre-trained weights using delta updates, resulting in significant performance improvements over existing methods.
In this paper, we present Delta-LoRA, which is a novel parameter-efficient approach to fine-tune large language models (LLMs). In contrast to LoRA and other low-rank adaptation methods such as AdaLoRA, Delta-LoRA not only updates the low-rank matrices $\bA$ and $\bB$, but also propagate the learning to the pre-trained weights $\bW$ via updates utilizing the delta of the product of two low-rank matrices ($\bA^{(t+1)}\bB^{(t+1)} - \bA^{(t)}\bB^{(t)}$). Such a strategy effectively addresses the limitation that the incremental update of low-rank matrices is inadequate for learning representations capable for downstream tasks. Moreover, as the update of $\bW$ does not need to compute the gradients of $\bW$ and store their momentums, Delta-LoRA shares comparable memory requirements and computational costs with LoRA. Extensive experiments show that Delta-LoRA significantly outperforms existing low-rank adaptation methods. We further support these results with comprehensive analyses that underscore the effectiveness of Delta-LoRA.