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VectorFit : Adaptive Singular & Bias Vector Fine-Tuning of Pre-trained Foundation Models

25 March 2025
Suhas G Hegde
S. K
Aruna Tiwari
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Abstract

Popular PEFT methods achieve parameter efficiency by assuming that incremental weight updates are inherently low-rank, which often leads to a performance gap compared to full fine-tuning. While recent methods have attempted to address this limitation, they typically lack sufficient parameter and memory efficiency. We propose VectorFit, an effective and easily deployable approach that adaptively trains the singular vectors and biases of pre-trained weight matrices. We demonstrate that the utilization of structural and transformational characteristics of pre-trained weights enables high-rank updates comparable to those of full fine-tuning. As a result, VectorFit achieves superior performance with 9X less trainable parameters compared to state-of-the-art PEFT methods. Through extensive experiments over 17 datasets spanning diverse language and vision tasks such as natural language understanding and generation, question answering, image classification, and image generation, we exhibit that VectorFit consistently outperforms baselines, even in extremely low-budget scenarios.

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@article{hegde2025_2503.19530,
  title={ VectorFit : Adaptive Singular & Bias Vector Fine-Tuning of Pre-trained Foundation Models },
  author={ Suhas G Hegde and Shilpy Kaur and Aruna Tiwari },
  journal={arXiv preprint arXiv:2503.19530},
  year={ 2025 }
}
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