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Breaking Memory Limits: Gradient Wavelet Transform Enhances LLMs Training (2501.07237v1)

Published 13 Jan 2025 in cs.LG and cs.AI

Abstract: LLMs have shown impressive performance across a range of natural language processing tasks. However, their vast number of parameters introduces significant memory challenges during training, particularly when using memory-intensive optimizers like Adam. Existing memory-efficient algorithms often rely on techniques such as singular value decomposition projection or weight freezing. While these approaches help alleviate memory constraints, they generally produce suboptimal results compared to full-rank updates. In this paper, we investigate the memory-efficient method beyond low-rank training, proposing a novel solution called Gradient Wavelet Transform (GWT), which applies wavelet transforms to gradients in order to significantly reduce the memory requirements for maintaining optimizer states. We demonstrate that GWT can be seamlessly integrated with memory-intensive optimizers, enabling efficient training without sacrificing performance. Through extensive experiments on both pre-training and fine-tuning tasks, we show that GWT achieves state-of-the-art performance compared with advanced memory-efficient optimizers and full-rank approaches in terms of both memory usage and training performance.

Summary

  • The paper introduces the Gradient Wavelet Transform (GWT) integrated with Adam to manage gradient dimensions and reduce memory overhead.
  • The method achieves a 67% reduction in optimizer state memory on models up to 1B parameters without compromising learning speed or accuracy.
  • Experiments demonstrate that GWT simplifies hyperparameter tuning and boosts efficiency in both pre-training and fine-tuning tasks.

Breaking Memory Limits: Gradient Wavelet Transform Enhances LLMs Training

In the ongoing pursuit of optimizing LLMs given their computational and memory constraints, the paper "Breaking Memory Limits: Gradient Wavelet Transform Enhances LLMs Training" by Wen et al. introduces an innovative solution to mitigate memory consumption while maintaining training efficacy. This paper provides a comprehensive exploration of employing the Gradient Wavelet Transform (GWT) as a tool for memory-efficient training of LLMs, diverging from traditional low-rank approximation techniques.

Key Contributions

The paper's primary contribution is the introduction of the GWT, which is adeptly integrated into memory-intensive optimizers like Adam. Unlike existing techniques such as LoRA, Re-LoRA, and GaLore, GWT leverages wavelet transforms to manage gradient dimensions and, consequently, state memory. By focusing on both the approximation and detail coefficients during training, the method effectively balances memory savings against the retention of critical gradient information. This dual-focus is particularly noteworthy since it captures comprehensive gradient characteristics rather than limiting updates to predefined subspaces.

The implementation of GWT revealed substantial improvements in memory utilization while achieving comparable or superior performance metrics relative to full-rank approaches. For instance, the implementation of a 2-level Haar Wavelet Transform in conjunction with Adam showcased a reduction in optimizer state memory usage by approximately 67%, without degrading learning speed or accuracy.

Experimental Validation

Experiments conducted on different model sizes of LLaMA, ranging from 60M to 1B parameters, and RoBERTa for GLUE benchmarks, validate the robustness and generality of the proposed method. The results highlight that GWT maintains superior throughput and memory efficiency across various tasks, such as pre-training and fine-tuning, surpassing both low-rank counterparts and conventional optimizers in several scenarios.

The paper also includes a hyperparameter paper analyzing elements such as the scale factor and transform level, which substantiate GWT's insensitivity to hyperparameter tuning, thereby simplifying its practical deployment.

Implications and Future Work

The implications of this research are significant, as they open pathways for deploying LLMs in environments with restricted memory resources without compromising on scalability or model performance. This approach not only contributes to the field of memory-efficient training but also broadens the applicability of wavelet transforms in optimization tasks, suggesting a wider utility beyond traditional gradient descent methods.

Potential future research may focus on:

  • Theoretical foundations: Establishing a deeper theoretical understanding of why wavelet transforms effectively compress gradient information while retaining its essence.
  • Application to other domains: Investigating GWT's applicability across different neural architectures, such as vision transformers and diffusion models.
  • Further optimization: Exploring advanced wavelet transforms tailored specifically for handling the unique characteristics of stochastic gradients in large-scale learning models.

In summary, the paper by Wen et al. provides a significant advancement in reducing memory overheads in LLM training, enabling a more accessible and efficient deployment of AI models. The innovative integration of wavelet transforms in gradient computation exemplifies a promising step towards sustainable and scalable AI development.

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