arXiv Computation and Language By Rong Huang, Yi Xiong, Yuan-Yuan Cheng, Xiao-Ming Fu

Hierarchical Low-Rank Reparameterization for Parameter-Efficient

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The paper introduces a hierarchical low‑rank reparameterization technique that reorganizes the trainable parameters of parameter‑efficient fine‑tuning (PEFT) methods into an approximately square matrix and applies recursive low‑rank decomposition. This multi‑level compression drastically reduces the number of trainable parameters while preserving strong task performance. Experiments on LLaMA‑3.1‑8B and Qwen2.5‑7B show that, when combined with LoRA or DoRA, the method outperforms baseline PEFT approaches and remains competitive even after compressing the original parameter count by an order of magnitude.

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