arXiv Machine Learning

Benford's Law as a Distributional Prior for Post-Training Quantization of Large Language Models

The paper introduces BenQ, a data‑free post‑training quantization (PTQ) method that leverages Benford’s Law to guide the construction of a log‑spaced codebook for transformer weights. BenQ selectively applies this codebook to linear layers while preserving higher precision for LayerNorm parameters, achieving consistent 4‑bit group‑wise PTQ improvements over uniform RTN and competitive results with NF4 across various models and tasks. The authors also explore dynamic activation quantization, noting that log‑spaced grids can mitigate RTN failures but that handling outliers remains crucial for reliable low‑bit activation PTQ.

arXiv AI
Jul 29

Stable FP4 Training via Transposition-Invariant Block Quantization

arXiv:2607. 24953v1 Announce Type: cross Abstract: Reducing training precision is a key lever for improving the e ciency of large language model (LLM) training, but pushing beyond FP8 to 4-bit oating point (FP4) remains challenging due to instability during optimization.

By Mehdi Rahimifar, Amin Darabi, Mehran Taghian Jazi, Xing Huang, Yao Wang, Zhijun Tu, Yufei Cui, Yunke Peng, Hongliang Li
arXiv Machine Learning
Sep 10

Squeeze10-LLM: Squeezing LLMs' Weights by 10 Times via a Staged Mixed-Precision Quantization Method

Squeeze10-LLM is a staged mixed‑precision post‑training quantization framework that reduces 16‑bit LLM weights to an average of 1.6 bits per weight by assigning 80% of weights to 1 bit and 20% to 4 bits. It introduces Post‑Binarization Activation Robustness (PBAR), a weight significance metric that considers activation impact, and Full Information Activation Supervision (FIAS), a strategy that preserves activation information to limit error propagation. Experiments on LLaMA and LLaMA2 demonstrate that Squeeze10‑LLM achieves state‑of‑the‑art performance for sub‑2‑bit weight‑only quantization, raising average accuracy from 43% to 56% on six zero‑shot classification tasks.

By Qingcheng Zhu, Yangyang Ren, Linlin Yang, Yanjing Li, Sheng Xu, Haodong Zhu, Juan Zhang, Runqi Wang, Baochang Zhang
arXiv Machine Learning
1d ago

ConQuR: Corner Aligned Activation Quantization via Optimized Rotations for LLMs

ConQuR introduces a lightweight post‑training rotation calibration for large language model activation quantization. By learning orthogonal rotations that align normalized activations with the corners of an inscribed hypercube, the method distributes activation energy evenly and can be updated online without storing activations. Experiments on Llama‑2 and Llama‑3 models (3B–70B) show competitive or improved perplexity and reasoning performance while avoiding costly training or large offline storage.

By Chayne Thrash, Ali Abbasi, Soheil Kolouri