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Large Language Models (LLMs) pose significant hardware challenges related to memory requirements and computational ability. There are two mainstream quantization schemes for LLMs: coarse-grained ($\textit{e.g.,}$ channel-wise) quantization…

Artificial Intelligence · Computer Science 2023-10-10 Luoming Zhang , Wen Fei , Weijia Wu , Yefei He , Zhenyu Lou , Hong Zhou

Large-scale language models (LLMs) have demonstrated impressive performance, but their deployment presents challenges due to their significant memory usage. This issue can be alleviated through quantization. In this paper, we identify that…

Computation and Language · Computer Science 2023-05-18 Zhihang Yuan , Lin Niu , Jiawei Liu , Wenyu Liu , Xinggang Wang , Yuzhang Shang , Guangyu Sun , Qiang Wu , Jiaxiang Wu , Bingzhe Wu

Matrix multiplication (MatMul) is the computational backbone of modern machine learning, yet its classical complexity remains a bottleneck for large-scale data processing. We propose a hybrid quantum-classical algorithm for matrix…

Quantum Physics · Physics 2026-04-15 Wladimir Silva

Large Language Models (LLMs) are proficient in natural language processing tasks, but their deployment is often restricted by extensive parameter sizes and computational demands. This paper focuses on post-training quantization (PTQ) in…

Computation and Language · Computer Science 2024-07-19 Janghwan Lee , Minsoo Kim , Seungcheol Baek , Seok Joong Hwang , Wonyong Sung , Jungwook Choi

We introduce a Power-of-Two low-bit post-training quantization(PTQ) method for deep neural network that meets hardware requirements and does not call for long-time retraining. Power-of-Two quantization can convert the multiplication…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Hongyi Yao , Pu Li , Jian Cao , Xiangcheng Liu , Chenying Xie , Bingzhang Wang

Reasoning models excel at complex tasks such as coding and mathematics, yet their inference is often slow and token-inefficient. To improve the inference efficiency, post-training quantization (PTQ) usually comes with the cost of large…

Machine Learning · Computer Science 2026-01-22 Keyu Lv , Manyi Zhang , Xiaobo Xia , Jingchen Ni , Shannan Yan , Xianzhi Yu , Lu Hou , Chun Yuan , Haoli Bai

We show that the estimating equations for quantile regression can be solved using a simple EM algorithm in which the M-step is computed via weighted least squares, with weights computed at the E-step as the expectation of independent…

Methodology · Statistics 2021-06-29 Haim Y. Bar , James G. Booth , Martin T. Wells

Group-wise quantization is an effective strategy for mitigating accuracy degradation in low-bit quantization of large language models (LLMs). Among existing methods, GPTQ has been widely adopted due to its efficiency; however, it neglects…

Machine Learning · Computer Science 2026-02-03 Junhan Kim , Gukryeol Lee , Seungwoo Son , Jeewook Kim , Yongkweon Jeon

Large transformer models have demonstrated remarkable success. Post-training quantization (PTQ), which requires only a small dataset for calibration and avoids end-to-end retraining, is a promising solution for compressing these large…

Machine Learning · Computer Science 2024-02-09 Zhikai Li , Xuewen Liu , Jing Zhang , Qingyi Gu

Quantizing the weights of large language models (LLMs) from 16-bit to lower bitwidth is the de facto approach to deploy massive transformers onto more affordable accelerators. While GPTQ emerged as one of the standard methods for one-shot…

Machine Learning · Computer Science 2026-05-15 Jiale Chen , Yalda Shabanzadeh , Elvir Crnčević , Torsten Hoefler , Dan Alistarh

In Large Language Models (LLMs), the number of parameters has grown exponentially in the past few years, e.g., from 1.5 billion parameters in GPT-2 to 175 billion in GPT-3 to possibly more than trillion in higher versions. This raises a…

Computation and Language · Computer Science 2026-01-06 Mahmoud Elgenedy

Weight oscillation is an undesirable side effect of quantization-aware training, in which quantized weights frequently jump between two quantized levels, resulting in training instability and a sub-optimal final model. We discover that the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-20 Shih-Yang Liu , Zechun Liu , Kwang-Ting Cheng

Quantization is one of the most effective methods to compress neural networks, which has achieved great success on convolutional neural networks (CNNs). Recently, vision transformers have demonstrated great potential in computer vision.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Zhihang Yuan , Chenhao Xue , Yiqi Chen , Qiang Wu , Guangyu Sun

As inference on Large Language Models (LLMs) emerges as an important workload in machine learning applications, weight quantization has become a standard technique for efficient GPU deployment. Quantization not only reduces model size, but…

Machine Learning · Computer Science 2024-08-22 Elias Frantar , Roberto L. Castro , Jiale Chen , Torsten Hoefler , Dan Alistarh

Large Language Models (LLMs) face deployment challenges due to high computational costs, and while Post-Training Quantization (PTQ) offers a solution, existing rotation-based methods struggle at very low bit-widths like 2-bit. We introduce…

Machine Learning · Computer Science 2025-08-15 Euntae Choi , Sumin Song , Woosang Lim , Sungjoo Yoo

Abuse of large language models reveals high risks as large language models are being deployed at an astonishing speed. It is important to protect the model weights to avoid malicious usage that violates licenses of open-source large…

Computation and Language · Computer Science 2023-10-18 Linyang Li , Botian Jiang , Pengyu Wang , Ke Ren , Hang Yan , Xipeng Qiu

One of the challenges of quantizing a large language model (LLM) is the presence of outliers. Outliers often make uniform quantization schemes less effective, particularly in extreme cases such as 4-bit quantization. We introduce KurTail, a…

Machine Learning · Computer Science 2025-03-04 Mohammad Sadegh Akhondzadeh , Aleksandar Bojchevski , Evangelos Eleftheriou , Martino Dazzi

The presence of outliers in Large Language Models (LLMs) weights and activations makes them difficult to quantize. Recent work has leveraged rotations to mitigate these outliers. In this work, we propose methods that learn fusible rotations…

Machine Learning · Computer Science 2026-01-13 Advait Gadhikar , Riccardo Grazzi , James Hensman

While neural networks have been remarkably successful in a wide array of applications, implementing them in resource-constrained hardware remains an area of intense research. By replacing the weights of a neural network with quantized…

Machine Learning · Computer Science 2023-01-18 Jinjie Zhang , Yixuan Zhou , Rayan Saab

Modern-day seismic imaging and monitoring technology increasingly rely on dense full-azimuth sampling. Unfortunately, the costs of acquiring densely sampled data rapidly become prohibitive and we need to look for ways to sparsely collect…

Optimization and Control · Mathematics 2020-04-22 Yijun Zhang , Shashin Sharan , Oscar Lopez , Felix J. Herrmann
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