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Training LLMs with MXFP4 (2502.20586v2)

Published 27 Feb 2025 in cs.LG

Abstract: Low precision (LP) datatypes such as MXFP4 can accelerate matrix multiplications (GEMMs) and reduce training costs. However, directly using MXFP4 instead of BF16 during training significantly degrades model quality. In this work, we present the first near-lossless training recipe that uses MXFP4 GEMMs, which are $2\times$ faster than FP8 on supported hardware. Our key insight is to compute unbiased gradient estimates with stochastic rounding (SR), resulting in more accurate model updates. However, directly applying SR to MXFP4 can result in high variance from block-level outliers, harming convergence. To overcome this, we use the random Hadamard tranform to theoretically bound the variance of SR. We train GPT models up to 6.7B parameters and find that our method induces minimal degradation over mixed-precision BF16 training. Our recipe computes $>1/2$ the training FLOPs in MXFP4, enabling an estimated speedup of $>1.3\times$ over FP8 and $>1.7\times$ over BF16 during backpropagation.

Summary

Understanding the Impact of MXFP4 on Training LLMs

The paper "Training LLMs with MXFP4" explores the use of the low precision MXFP4 datatype in accelerating the training of LLMs. The authors propose techniques that alleviate the degradation in model quality usually associated with low precision training and offer a systematic approach that shows potential for increased efficiency without significant loss in model accuracy.

Core Contributions

The authors introduce a training recipe that leverages MXFP4 for performing matrix multiplications during model training. MXFP4 represents a new frontier in training efficiency, being twice as fast as established FP8 on supported hardware. However, directly substituting MXFP4 for BF16 typically results in poor model convergence due to increased variance and outliers at the block level.

To address this issue, the paper employs two core methodologies:

  • Stochastic Rounding (SR): This technique ensures unbiased gradient computations, which are critical for accurate model updates.
  • Random Hadamard Transform (RHT): This method helps bound the variance of stochastic rounding by transforming data before quantization. By doing so, it allows for variance reduction, which is essential for stable convergence.

The paper presents the first set of empirical results demonstrating that their approach to using MXFP4 in training achieves near lossless quality compared to BF16 mixed precision training. Training tests conducted on GPT models, with up to 6.7 billion parameters, show minimal degradation, validating their proposed method.

Key Experimental Insights

Significant work went into determining the efficacy of combining SR and RHT. The results reveal that:

  • The combined use of SR and RHT closes the performance gap with BF16, achieving validation perplexity gaps of less than 0.1, which stands as a significant accomplishment in the context of 4-bit precision, where such precision generally induces high variance errors.
  • The estimated speedup during model backpropagation is greater than 1.3 times over FP8, and about 1.7 times over BF16, signifying a substantial improvement over existing methods.

Practical Implications

The implications of this paper extend towards lowering the computational costs associated with training LLMs. Given the exponential growth of model sizes and token datasets, approaches like the one proposed hold potential for significant resource optimization, which includes computational time and energy costs. Furthermore, as LLM applications continue to burgeon, more efficient training methods will be crucial in democratizing AI and enabling more organizations to leverage these technologies.

Theoretical Contribution

On a theoretical level, this work expands our understanding of how low precision datatypes can be effectively used for neural network training. By addressing the variance issue through RHT, this paper contributes to the broader discussion of making low-bit precision a viable option for future AI research and applications.

Future Developments

Looking ahead, research should focus on further optimizing these techniques for larger models and different architectures. The interplay between different precision strategies, such as mixing MXFP4 with FP8, could present an interesting avenue to balance efficiency and performance. Additionally, potential hardware developments could make MXFP4 and similar datatypes an industry standard, propelling wider adoption.

In conclusion, the authors effectively demonstrate a novel approach to low precision training with MXFP4. Their enhancements in stochastic rounding and variance minimization provide a promising step toward faster and cost-effective training processes, offering insights that are valuable for both theoretical exploration and practical application in AI development.

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