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arxiv:2505.20355

GraLoRA: Granular Low-Rank Adaptation for Parameter-Efficient Fine-Tuning

Published on May 26
· Submitted by HyungjunKim on May 28

Abstract

Granular Low-Rank Adaptation (GraLoRA) improves upon Low-Rank Adaptation (LoRA) by partitioning weight matrices to mitigate overfitting and enhance performance in parameter-efficient fine-tuning.

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Low-Rank Adaptation (LoRA) is a popular method for parameter-efficient fine-tuning (PEFT) of generative models, valued for its simplicity and effectiveness. Despite recent enhancements, LoRA still suffers from a fundamental limitation: overfitting when the bottleneck is widened. It performs best at ranks 32-64, yet its accuracy stagnates or declines at higher ranks, still falling short of full fine-tuning (FFT) performance. We identify the root cause as LoRA's structural bottleneck, which introduces gradient entanglement to the unrelated input channels and distorts gradient propagation. To address this, we introduce a novel structure, Granular Low-Rank Adaptation (GraLoRA) that partitions weight matrices into sub-blocks, each with its own low-rank adapter. With negligible computational or storage cost, GraLoRA overcomes LoRA's limitations, effectively increases the representational capacity, and more closely approximates FFT behavior. Experiments on code generation and commonsense reasoning benchmarks show that GraLoRA consistently outperforms LoRA and other baselines, achieving up to +8.5% absolute gain in Pass@1 on HumanEval+. These improvements hold across model sizes and rank settings, making GraLoRA a scalable and robust solution for PEFT. Code, data, and scripts are available at https://github.com/SqueezeBits/GraLoRA.git

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Paper author Paper submitter

In this work, we introduced GraLoRA, a novel PEFT method that extends LoRA with granular, blockwise decomposition. Motivated by a rigorous analysis of LoRA’s gradient behavior, we identified that
input outliers can dominate the low-rank update, suppressing meaningful contributions from other
input channels and misaligning with the localized gradient propagation observed in full fine-tuning.

Code: https://github.com/SqueezeBits/GraLoRA

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