MambaQuant: Quantizing the Mamba Family with Variance Aligned Rotation Methods

TL;DR

MambaQuant introduces a novel post-training quantization framework tailored for Mamba models, effectively reducing model size and latency with minimal accuracy loss by addressing unique distribution challenges.

Contribution

The paper presents the first comprehensive PTQ method for Mamba models, utilizing variance-aligned rotation and variance equalization techniques to handle distribution outliers.

Findings

Achieves less than 1% accuracy loss with 8-bit quantization.

Effectively handles outliers and distribution variance in Mamba models.

Enables efficient deployment of Mamba models in resource-constrained environments.

Abstract

Mamba is an efficient sequence model that rivals Transformers and demonstrates significant potential as a foundational architecture for various tasks. Quantization is commonly used in neural networks to reduce model size and computational latency. However, applying quantization to Mamba remains underexplored, and existing quantization methods, which have been effective for CNN and Transformer models, appear inadequate for Mamba models (e.g., Quarot suffers a 21% accuracy drop on Vim-T$^\dagger$ even under W8A8). We have pioneered the exploration of this issue and identified several key challenges. First, significant outliers are present in gate projections, output projections, and matrix multiplications. Second, Mamba's unique parallel scan further amplifies these outliers, leading to uneven and heavy-tailed data distributions. Third, even with the application of the Hadamard transform, the variance across channels in weights and activations still remains inconsistent. To these ends, we propose MambaQuant, a post-training quantization (PTQ) framework consisting of: 1) Karhunen-Loeve Transformation (KLT) enhanced rotation, rendering the rotation matrix adaptable to diverse channel distributions. 2) Smooth-Fused rotation, which equalizes channel variances and can merge additional parameters into model weights. Experiments show that MambaQuant can quantize both weights and activations into 8-bit with less than 1% accuracy loss for Mamba-based vision and language tasks. To the best of our knowledge, MambaQuant is the first comprehensive PTQ design for the Mamba family, paving the way for further advancements in its application.