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Large language models (LLMs) are pretrained by minimizing the cross-entropy loss for next-token prediction. In this paper, we study whether this optimization strategy can induce geometric structure in the learned model weights and context…

Optimization and Control · Mathematics 2026-05-14 Zhehang Du , Hangfeng He , Weijie Su

Post-training quantization (PTQ) reduces the memory footprint of LLMs by quantizing weights to low-precision datatypes. Since LLM inference is usually memory-bound, PTQ methods can improve inference throughput. Recent state-of-the-art PTQ…

Machine Learning · Computer Science 2025-06-19 Albert Tseng , Qingyao Sun , David Hou , Christopher De Sa

Matryoshka Quantization (MatQuant) is a recent quantization approach showing that a single integer-quantized model can be served across multiple precisions, by slicing the most significant bits (MSB) at inference time. This enables a single…

Machine Learning · Computer Science 2026-02-04 Maximilian Kleinegger , Elvir Crnčević , Dan Alistarh

Post-training quantization (PTQ) of large language models (LLMs) holds the promise in reducing the prohibitive computational cost at inference time. Quantization of all weight, activation and key-value (KV) cache tensors to 4-bit without…

Machine Learning · Computer Science 2025-02-05 Utkarsh Saxena , Sayeh Sharify , Kaushik Roy , Xin Wang

With the rising popularity of Large Language Models (LLMs), there has been an increasing interest in compression techniques that enable their efficient deployment. This study focuses on the Post-Training Quantization (PTQ) of LLMs. Drawing…

Machine Learning · Statistics 2023-12-04 Kayhan Behdin , Ayan Acharya , Aman Gupta , Qingquan Song , Siyu Zhu , Sathiya Keerthi , Rahul Mazumder

Modern large language foundation models (LLM) have now entered the daily lives of millions of users. We ask a natural question whether it is possible to customize LLM for every user or every task. From system and industrial economy…

Machine Learning · Computer Science 2025-04-11 Jianqiao Wangni

Recent studies introduced effective compression techniques for Large Language Models (LLMs) via post-training quantization or low-bit weight representation. Although quantized weights offer storage efficiency and allow for faster inference,…

Computation and Language · Computer Science 2024-05-02 Irina Proskurina , Luc Brun , Guillaume Metzler , Julien Velcin

Traditional post-training quantization (PTQ) is considered an effective approach to reduce model size and accelerate inference of large-scale language models (LLMs). However, existing low-rank PTQ methods require costly fine-tuning to…

Machine Learning · Computer Science 2026-01-12 Hongyaoxing Gul , Lijuan Hu , Shuzi Niu , Fangfang Liu

In recent years, compression of large language models (LLMs) has emerged as an important problem to enable language model deployment on resource-constrained devices, reduce computational costs, and mitigate the environmental footprint of…

Machine Learning · Computer Science 2024-10-04 Sean I. Young

Vision Transformers (ViTs) are essential in computer vision but are computationally intensive, too. Model quantization, particularly to low bit-widths like 4-bit, aims to alleviate this difficulty, yet existing Post-Training Quantization…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Guang Liang , Xinyao Liu , Jianxin Wu

Large language models (LLMs) achieve impressive performance across domains but face significant challenges when deployed on consumer-grade GPUs or personal devices such as laptops, due to high memory consumption and inference costs.…

Machine Learning · Computer Science 2026-02-02 Li Lin , Xinyu Hu , Xiaojun Wan

The growing computational demands of training large language models (LLMs) necessitate more efficient methods. Quantized training presents a promising solution by enabling low-bit arithmetic operations to reduce these costs. While FP8…

Machine Learning · Computer Science 2026-05-18 Ruizhe Wang , Yeyun Gong , Xiao Liu , Guoshuai Zhao , Ziyue Yang , Baining Guo , Zhengjun Zha , Peng Cheng

The emergence of accurate open large language models (LLMs) has led to a race towards performant quantization techniques which can enable their execution on end-user devices. In this paper, we revisit the problem of "extreme" LLM…

Machine Learning · Computer Science 2024-09-12 Vage Egiazarian , Andrei Panferov , Denis Kuznedelev , Elias Frantar , Artem Babenko , Dan Alistarh

Quantization has gained attention as a promising solution for the cost-effective deployment of large and small language models. However, most prior work has been limited to perplexity or basic knowledge tasks and lacks a comprehensive…

Computation and Language · Computer Science 2025-06-05 Jemin Lee , Sihyeong Park , Jinse Kwon , Jihun Oh , Yongin Kwon

Large Language Models (LLMs) are widely used across many domains, but their scale makes deployment challenging. Post-Training Quantization (PTQ) reduces memory footprint without retraining by leveraging a small calibration set. Recent…

Machine Learning · Computer Science 2026-04-16 Jaemin Kim , Sungkyun Kim , Junyeol Lee , Jiwon Seo

Post-training quantization of Large Language Models (LLMs) has proven effective in reducing the memory and computational requirements for inference. In this study, we focus on a straightforward question: When aiming for a target accuracy or…

Computation and Language · Computer Science 2025-08-08 Zeyu Cao , Boyang Gu , Cheng Zhang , Pedro Gimenes , Jianqiao Lu , Jianyi Cheng , Xitong Gao , Yiren Zhao

The quantization of large language models (LLMs) has been a prominent research area aimed at enabling their lightweight deployment in practice. Existing research about LLM's quantization has mainly explored the interplay between weights and…

Computation and Language · Computer Science 2025-05-16 Yifei Gao , Jie Ou , Lei Wang , Jun Cheng , Mengchu Zhou

Neural network quantization enables the deployment of models on edge devices. An essential requirement for their hardware efficiency is that the quantizers are hardware-friendly: uniform, symmetric, and with power-of-two thresholds. To the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-17 Hai Victor Habi , Reuven Peretz , Elad Cohen , Lior Dikstein , Oranit Dror , Idit Diamant , Roy H. Jennings , Arnon Netzer

Powerful large language models (LLMs) are increasingly expected to be deployed with lower computational costs, enabling their capabilities on resource-constrained devices. Post-training quantization (PTQ) has emerged as a star approach to…

Machine Learning · Computer Science 2025-02-20 Yuzhuang Xu , Shiyu Ji , Qingfu Zhu , Wanxiang Che

The burgeoning computational demands for training large language models (LLMs) necessitate efficient methods, including quantized training, which leverages low-bit arithmetic operations to reduce costs. While FP8 precision has shown…

Machine Learning · Computer Science 2025-02-18 Jiecheng Zhou , Ding Tang , Rong Fu , Boni Hu , Haoran Xu , Yi Wang , Zhilin Pei , Zhongling Su , Liang Liu , Xingcheng Zhang , Weiming Zhang