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arXiv 2410.22264cs.LG

基于低秩自适应的可证明元学习

Provable Meta-Learning with Low-Rank Adaptations

Chandra Family Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, TX, USA(Chandra Family 电子与计算机工程系,德克萨斯大学奥斯汀分校);Snap, Inc.(Snap公司);Google Research(Google研究)

Jacob L. Block, Sundararajan Srinivasan, Liam Collins, Aryan Mokhtari, Sanjay Shakkottai

AI总结:

本研究提出基于PEFT的元学习框架,证明标准重训练在LoRA线性模型上不可证明最优,并通过理论与实验验证其性能优势。

摘要:

基础模型(FMs)的力量在于其学习高度表达性表示的能力,这些表示可以适应广泛的任务。然而,这些预训练模型需要额外的训练阶段才能在下游应用中变得有效。在多任务设置中,先前的工作已通过实验表明,特定的元学习方法(通过参数高效微调(PEFT)为未来适应准备模型)可以优于标准的重新训练方法,但元学习优势的机制在很大程度上尚未被探索。我们引入了一个通用的基于PEFT的元学习框架,以学习一个能够轻松适应未见任务的模型。对于使用LoRA的线性模型,我们证明了标准重新训练在寻找可适应参数集方面是次优的,并为我们的方法提供了严格的性能保证。我们通过在合成数据以及真实数据的视觉和语言任务上的实验验证了这些理论见解。我们观察到,在重新训练期间使用我们提出的元学习方案的简单实现,相对于传统方法,带来了显著的性能优势。

英文摘要:

The power of foundation models (FMs) lies in their capacity to learn highly expressive representations that can be adapted to a broad spectrum of tasks. However, these pretrained models require additional training stages to become effective for downstream applications. In the multi-task setting, prior works have shown empirically that specific meta-learning approaches for preparing a model for future adaptation through parameter-efficient fine-tuning (PEFT) can outperform standard retraining methods, but the mechanism of the benefits of meta-learning has been largely unexplored. We introduce a framework for generic PEFT-based meta-learning to learn a model that can easily adapt to unseen tasks. For linear models using LoRA, we show that standard retraining is provably suboptimal for finding an adaptable set of parameters and provide strict performance guarantees for our proposed method. We verify these theoretical insights through experiments on synthetic data as well as real-data vision and language tasks. We observe significant performance benefits using a simple implementation of our proposed meta-learning scheme during retraining relative to the conventional approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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