$α$-LoRA: Effective Fine-Tuning via Base Model Rescaling

Fuente: arXiv
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Main Authors: Firdoussi, Aymane El, Chayti, El Mahdi, Seddik, Mohamed El Amine, Jaggi, Martin
Format: Preprint
Published: 2025
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author Firdoussi, Aymane El
Chayti, El Mahdi
Seddik, Mohamed El Amine
Jaggi, Martin
author_facet Firdoussi, Aymane El
Chayti, El Mahdi
Seddik, Mohamed El Amine
Jaggi, Martin
contents Fine-tuning has proven to be highly effective in adapting pre-trained models to perform better on new desired tasks with minimal data samples. Among the most widely used approaches are reparameterization methods, which update a target module by augmenting its frozen weight matrix with an additional trainable weight matrix. The most prominent example is Low Rank Adaption (LoRA), which gained significant attention in recent years. In this paper, we introduce a new class of reparameterization methods for transfer learning, designed to enhance the generalization ability of fine-tuned models. We establish the effectiveness of our approach in a high-dimensional binary classification setting using tools from Random Matrix Theory, and further validate our theoretical findings through more realistic experiments, such as fine-tuning LLMs.
format Preprint
id arxiv_https___arxiv_org_abs_2510_21345
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $α$-LoRA: Effective Fine-Tuning via Base Model Rescaling
Firdoussi, Aymane El
Chayti, El Mahdi
Seddik, Mohamed El Amine
Jaggi, Martin
Machine Learning
Artificial Intelligence
Fine-tuning has proven to be highly effective in adapting pre-trained models to perform better on new desired tasks with minimal data samples. Among the most widely used approaches are reparameterization methods, which update a target module by augmenting its frozen weight matrix with an additional trainable weight matrix. The most prominent example is Low Rank Adaption (LoRA), which gained significant attention in recent years. In this paper, we introduce a new class of reparameterization methods for transfer learning, designed to enhance the generalization ability of fine-tuned models. We establish the effectiveness of our approach in a high-dimensional binary classification setting using tools from Random Matrix Theory, and further validate our theoretical findings through more realistic experiments, such as fine-tuning LLMs.
title $α$-LoRA: Effective Fine-Tuning via Base Model Rescaling
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2510.21345