LLM-FP4: 4-Bit Floating-Point Quantized Transformers

Shih-Yang Liu, Zechun Liu, Xijie Huang, Pingcheng Dong, Kwang-Ting Tim Cheng · 2023

We propose LLM-FP4 for quantizing both weights and activations in large language models (LLMs) down to 4-bit floating-point values, in a post-training manner.Existing posttraining quantization (PTQ) solutions are primarily integer-based and struggle with bit widths below 8 bits.Compared to integer quantization, floating-point (FP) quantization is more flexible and can better handle long-tail or bell-shaped distributions, and it has emerged as a default choice in many hardware platforms.One characteristic of FP quantization is that its performance largely depends on the choice of exponent bits and clipping range.In this regard, we construct a strong FP-PTQ baseline by searching for the optimal quantization parameters.Furthermore, we observe a high interchannel variance and low intra-channel variance pattern in activation distributions, which adds activation quantization difficulty.We recognize this pattern to be consistent across a spectrum of transformer models designed for diverse tasks, such as LLMs, BERT, and Vision Transformer models.To tackle this, we propose per-channel activation quantization and show that these additional scaling factors can be reparameterized as exponential biases of weights, incurring a negligible cost.Our method, for the first time, can quantize both weights and activations in the LLaMA-13B to only 4-bit and achieves an average score of 63.1 on the common sense zero-shot reasoning tasks, which is only 5.8 lower than the full-precision model, significantly outperforming the previous stateof-the-art by 12.7 points.Code is available at: https://github.com/nbasyl/LLM-FP4.

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