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Flat-LoRA: Low-Rank Adaption over a Flat Loss Landscape (2409.14396v1)

Published 22 Sep 2024 in cs.LG

Abstract: Fine-tuning large-scale pre-trained models is prohibitively expensive in terms of computational and memory costs. Low-Rank Adaptation (LoRA), a popular Parameter-Efficient Fine-Tuning (PEFT) method, provides an efficient way to fine-tune models by optimizing only a low-rank matrix. Despite recent progress made in improving LoRA's performance, the connection between the LoRA optimization space and the original full parameter space is often overlooked. A solution that appears flat in the LoRA space may exist sharp directions in the full parameter space, potentially harming generalization performance. In this paper, we propose Flat-LoRA, an efficient approach that seeks a low-rank adaptation located in a flat region of the full parameter space.Instead of relying on the well-established sharpness-aware minimization approach, which can incur significant computational and memory burdens, we utilize random weight perturbation with a Bayesian expectation loss objective to maintain training efficiency and design a refined perturbation generation strategy for improved performance. Experiments on natural language processing and image classification tasks with various architectures demonstrate the effectiveness of our approach.

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Authors (6)
  1. Tao Li (441 papers)
  2. Zhengbao He (13 papers)
  3. Yujun Li (17 papers)
  4. Yasheng Wang (91 papers)
  5. Lifeng Shang (90 papers)
  6. Xiaolin Huang (101 papers)

Summary

Flat-LoRA: Low-Rank Adaptation over a Flat Loss Landscape

The paper introduces Flat-LoRA, a method aimed at enhancing parameter-efficient fine-tuning (PEFT) through a focus on optimizing within a flat loss landscape. The authors propose an innovation in adapting Low-Rank Adaptation (LoRA), addressing limitations in current practices by considering interactions across the entire parameter space for improved generalization performance. This approach leverages random weight perturbations under a Bayesian expectation loss framework, offering computational and memory efficiency suitable for large-scale models.

Technical Overview

Conventional fine-tuning strategies for large-scale pre-trained models pose significant resource challenges due to their size, necessitating resource-efficient approaches like LoRA. LoRA focuses on optimizing a low-rank matrix while keeping pre-trained weights fixed, thus reducing computational overhead. However, prior enhancements to LoRA frequently overlook the interaction between the subspace solutions and the complete parameter set. A flat minimum in this reduced space may manifest sharp directions when re-integrated with the full parameter set, potentially compromising generalization.

Flat-LoRA seeks to optimize LoRA across a flat loss landscape in the full parameter space, distinguishing itself from methods that merely consider the LoRA space. By incorporating random weight perturbations into the optimization, Flat-LoRA avoids the double computational burden typical of Sharpness-Aware Minimization (SAM), and aligns solutions to flatter minima, using a more efficient Bayesian expectation objective.

Methodological Contributions

  1. Flat Loss Objective: The paper replaces the maximization component in SAM with an expectation-based objective. This Bayesian approximation efficiently promotes flat minima without compromising the PEFT's inherent resource benefits.
  2. Efficient Noise Injection: A novel perturbation strategy is designed, which introduces randomness aligned with the structure of the model weights—preserving time efficiency while maintaining training speed.
  3. Integration with Existing Methods: Flat-LoRA's compatibility with existing LoRA enhancements, such as rank allocation and initialization strategies, demonstrates its potential for cumulative improvements over previous approaches.

Experimental Results

The experimental validation across NLP and image classification tasks evidences Flat-LoRA’s efficacy. Using models like T5-Base and CLIP ViT-B/32, the approach consistently outperforms standard LoRA implementations across various datasets, achieving notable improvements in accuracy by optimizing the sharpness of the loss landscape.

In NLP tasks, Flat-LoRA demonstrated a consistent marginal improvement over traditional LoRA at varying ranks. For image classification, the method yielded a broader range of improvement, highlighting its versatility and robustness against overfitting.

Implications & Future Directions

The results indicate that Flat-LoRA establishes a compelling case for incorporating flatness optimization into PEFT, expanding the applicability and efficiency of large model fine-tuning. It opens avenues for further exploration into hybrid techniques, integrating structure-aware perturbations with sophisticated initialization strategies to enhance robustness.

Practically, the work suggests potential applications in resource-constrained environments, where maximizing model performance relative to computational cost is paramount. Theoretically, the approach contributes to the ongoing discourse on generalization and flat minima, offering new perspectives on the importance of global landscape optimization.

In conclusion, Flat-LoRA provides a significant step forward in bridging computational efficiency and generalization performance, setting a foundation for ongoing research into efficient model adaptation techniques across expansive parameter spaces.

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