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This paper presents incremental network quantization (INQ), a novel method, targeting to efficiently convert any pre-trained full-precision convolutional neural network (CNN) model into a low-precision version whose weights are constrained…

Computer Vision and Pattern Recognition · Computer Science 2017-08-28 Aojun Zhou , Anbang Yao , Yiwen Guo , Lin Xu , Yurong Chen

Training Large Language Models (LLMs) for chain-of-thought reasoning presents a significant challenge: supervised fine-tuning on a single "golden" rationale hurts generalization as it penalizes equally valid alternatives, whereas…

Computation and Language · Computer Science 2025-11-14 Mingye Zhu , Yi Liu , Zheren Fu , Quan Wang , Yongdong Zhang

We present an overview of techniques for quantizing convolutional neural networks for inference with integer weights and activations. Per-channel quantization of weights and per-layer quantization of activations to 8-bits of precision…

Machine Learning · Computer Science 2018-06-22 Raghuraman Krishnamoorthi

This paper introduces a post-training quantization~(PTQ) method achieving highly efficient Convolutional Neural Network~ (CNN) quantization with high performance. Previous PTQ methods usually reduce compression error via performing…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Chen Lin , Zheyang Li , Bo Peng , Haoji Hu , Wenming Tan , Ye Ren , Shiliang Pu

Post-training quantization (PTQ) enables efficient deployment of large language models by mapping pretrained weights to low-bit formats without retraining, typically using a small calibration set to minimize a layer-wise calibration…

Machine Learning · Computer Science 2026-05-12 Seohyeon Cha , Huancheng Chen , Dongjun Kim , Haoran Zhang , Kevin Chan , Gustavo de Veciana , Haris Vikalo

Large language models (LLMs) have revolutionized natural language processing, albeit at the cost of immense memory and computation requirements. Post-training quantization (PTQ) is becoming the de facto method to reduce the memory footprint…

Machine Learning · Computer Science 2024-10-28 Yuhang Li , Priyadarshini Panda

Emergent Large Language Models (LLMs) use their extraordinary performance and powerful deduction capacity to discern from traditional language models. However, the expenses of computational resources and storage for these LLMs are stunning,…

Computation and Language · Computer Science 2024-06-25 Yifei Gao , Jie Ou , Lei Wang , Yuting Xiao , Zhiyuan Xiang , Ruiting Dai , Jun Cheng

At present, the quantification methods of neural network models are mainly divided into post-training quantization (PTQ) and quantization aware training (QAT). Post-training quantization only need a small part of the data to complete the…

Machine Learning · Computer Science 2022-07-08 Huabin Diao , Gongyan Li , Shaoyun Xu , Yuexing Hao

Improving the efficiency of inference in Large Language Models (LLMs) is a critical area of research. Post-training Quantization (PTQ) is a popular technique, but it often faces challenges at low-bit levels, particularly in downstream…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Wenjin Ke , Zhe Li , Dong Li , Lu Tian , Emad Barsoum

Recently years have witnessed a rapid development of large language models (LLMs). Despite the strong ability in many language-understanding tasks, the heavy computational burden largely restricts the application of LLMs especially when one…

Machine Learning · Computer Science 2023-10-10 Yuhui Xu , Lingxi Xie , Xiaotao Gu , Xin Chen , Heng Chang , Hengheng Zhang , Zhengsu Chen , Xiaopeng Zhang , Qi Tian

Network quantization is a powerful technique to compress convolutional neural networks. The quantization granularity determines how to share the scaling factors in weights, which affects the performance of network quantization. Most…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Zhihang Yuan , Yiqi Chen , Chenhao Xue , Chenguang Zhang , Qiankun Wang , Guangyu Sun

We consider the problem of deep neural net compression by quantization: given a large, reference net, we want to quantize its real-valued weights using a codebook with $K$ entries so that the training loss of the quantized net is minimal.…

Machine Learning · Computer Science 2017-07-17 Miguel Á. Carreira-Perpiñán , Yerlan Idelbayev

For large language models (LLMs), post-training quantization (PTQ) can significantly reduce memory footprint and computational overhead. Model quantization is rapidly evolving. Though many papers report breakthrough results, they are often…

Machine Learning · Computer Science 2026-01-30 Yutong Liu , Cairong Zhao , Guosheng Hu

In this short note, we propose a new method for quantizing the weights of a fully trained neural network. A simple deterministic pre-processing step allows us to quantize network layers via memoryless scalar quantization while preserving…

Machine Learning · Computer Science 2023-04-06 Johannes Maly , Rayan Saab

Deep neural networks (DNNs) are quantized for efficient inference on resource-constrained platforms. However, training deep learning models with low-precision weights and activations involves a demanding optimization task, which calls for…

Machine Learning · Computer Science 2021-05-25 Ziang Long , Penghang Yin , Jack Xin

Post-training quantization is a key technique for reducing the memory and inference latency of large language models by quantizing weights and activations without requiring retraining. However, existing methods either (1) fail to account…

Machine Learning · Computer Science 2025-09-23 Jinuk Kim , Marwa El Halabi , Wonpyo Park , Clemens JS Schaefer , Deokjae Lee , Yeonhong Park , Jae W. Lee , Hyun Oh Song

Large language models (LLMs) deliver strong performance, but their high compute and memory costs make deployment difficult in resource-constrained scenarios. Weight-only post-training quantization (PTQ) is appealing, as it reduces memory…

Machine Learning · Computer Science 2026-02-09 Xianglong Yan , ChengZhu Bao , Zhiteng Li , Tianao Zhang , Shaoqiu Zhang , Ruobing Xie , Samm Sun , Yulun Zhang

Supervised fine-tuning is a standard method for adapting pre-trained large language models (LLMs) to downstream tasks. Quantization has been recently studied as a post-training technique for efficient LLM deployment. To obtain quantized…

Machine Learning · Computer Science 2025-06-09 Quan Wei , Chung-Yiu Yau , Hoi-To Wai , Yang Katie Zhao , Dongyeop Kang , Youngsuk Park , Mingyi Hong

Weight-only quantization is important for compressing Large Language Models (LLMs). Inspired by the spirit of classical magnitude pruning, we study whether the magnitude of weight updates during reasoning-incentivized fine-tuning can…

Machine Learning · Computer Science 2026-02-04 Nan Zhang , Eugene Kwek , Yusen Zhang , Muyu Pan , Suhang Wang , Prasenjit Mitra , Rui Zhang

Model quantization reduces neural network parameter precision to achieve compression, but often compromises accuracy. Existing post-training quantization (PTQ) methods employ iterative parameter updates to preserve accuracy under high…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Zekang Zheng , Haokun Li , Yaofo Chen , Mingkui Tan , Qing Du