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We consider the post-training quantization problem, which discretizes the weights of pre-trained deep neural networks without re-training the model. We propose multipoint quantization, a quantization method that approximates a…

Machine Learning · Computer Science 2021-01-15 Xingchao Liu , Mao Ye , Dengyong Zhou , Qiang Liu

Quantization techniques can reduce the size of Deep Neural Networks and improve inference latency and throughput by taking advantage of high throughput integer instructions. In this paper we review the mathematical aspects of quantization…

Machine Learning · Computer Science 2020-04-22 Hao Wu , Patrick Judd , Xiaojie Zhang , Mikhail Isaev , Paulius Micikevicius

The 8 bits quantization has been widely applied to accelerate network inference in various deep learning applications. There are two kinds of quantization methods, training-based quantization and post-training quantization. Training-based…

Computer Vision and Pattern Recognition · Computer Science 2020-07-01 Di Wu , Qi Tang , Yongle Zhao , Ming Zhang , Ying Fu , Debing Zhang

Currently, deep neural networks are deployed on low-power portable devices by first training a full-precision model using powerful hardware, and then deriving a corresponding low-precision model for efficient inference on such systems.…

Machine Learning · Computer Science 2017-11-15 Hao Li , Soham De , Zheng Xu , Christoph Studer , Hanan Samet , Tom Goldstein

Quantization is essential for reducing the computational cost and memory usage of deep neural networks, enabling efficient inference on low-precision hardware. Despite the growing adoption of uniform and floating-point quantization schemes,…

Machine Learning · Statistics 2026-05-19 Mehmet Aktukmak , Daniel Huang , Ke Ding

Quantization is a technique used in deep neural networks (DNNs) to increase execution performance and hardware efficiency. Uniform post-training quantization (PTQ) methods are common, since they can be implemented efficiently in hardware…

Machine Learning · Computer Science 2021-10-29 Gil Shomron , Freddy Gabbay , Samer Kurzum , Uri Weiser

We propose a novel value-aware quantization which applies aggressively reduced precision to the majority of data while separately handling a small amount of large data in high precision, which reduces total quantization errors under very…

Neural and Evolutionary Computing · Computer Science 2018-04-24 Eunhyeok Park , Sungjoo Yoo , Peter Vajda

Post-training quantization (PTQ) has emerged as a practical approach to compress large neural networks, making them highly efficient for deployment. However, effectively reducing these models to their low-bit counterparts without…

Machine Learning · Computer Science 2024-10-22 Aozhong Zhang , Zi Yang , Naigang Wang , Yingyong Qi , Jack Xin , Xin Li , Penghang Yin

Multi-bit quantization networks enable flexible deployment of deep neural networks by supporting multiple precision levels within a single model. However, existing approaches suffer from significant training overhead as full-dataset updates…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Jinhee Kim , Jae Jun An , Kang Eun Jeon , Jong Hwan Ko

Quantization using a small number of bits shows promise for reducing latency and memory usage in deep neural networks. However, most quantization methods cannot readily handle complicated functions such as exponential and square root, and…

Image and Video Processing · Electrical Eng. & Systems 2023-03-27 Yangyang Chang , Gerald E. Sobelman

We investigate in this paper an alternative method to simulation based recursive importance sampling procedure to estimate the optimal change of measure for Monte Carlo simulations. We propose an algorithm which combines (vector and…

Probability · Mathematics 2011-09-20 Noufel Frikha , Abass Sagna

The inherent heavy computation of deep neural networks prevents their widespread applications. A widely used method for accelerating model inference is quantization, by replacing the input operands of a network using fixed-point values.…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Hongwei Xie , Shuo Zhang , Huanghao Ding , Yafei Song , Baitao Shao , Conggang Hu , Ling Cai , Mingyang Li

Monte Carlo methods represent the "de facto" standard for approximating complicated integrals involving multidimensional target distributions. In order to generate random realizations from the target distribution, Monte Carlo techniques use…

Computation · Statistics 2022-01-21 L. Martino , V. Elvira , D. Luengo , J. Corander

Quantization is of significance for compressing the over-parameterized deep neural models and deploying them on resource-limited devices. Fixed-precision quantization suffers from performance drop due to the limited numerical representation…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Chen Tang , Yuan Meng , Jiacheng Jiang , Shuzhao Xie , Rongwei Lu , Xinzhu Ma , Zhi Wang , Wenwu Zhu

Deep neural networks, while achieving remarkable success across diverse tasks, demand significant resources, including computation, GPU memory, bandwidth, storage, and energy. Network quantization, as a standard compression and acceleration…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Minghao Fu , Hao Yu , Jie Shao , Junjie Zhou , Ke Zhu , Jianxin Wu

Deep neural networks have achieved state-of-the-art results in a wide range of applications, from natural language processing and computer vision to speech recognition. However, as tasks become increasingly complex, model sizes continue to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Tomer Gafni , Asaf Karnieli , Yair Hanani

This work targets the automated minimum-energy optimization of Quantized Neural Networks (QNNs) - networks using low precision weights and activations. These networks are trained from scratch at an arbitrary fixed point precision. At…

Neural and Evolutionary Computing · Computer Science 2017-11-27 Bert Moons , Koen Goetschalckx , Nick Van Berckelaer , Marian Verhelst

Because of their robustness, efficiency and non-intrusiveness, Monte Carlo methods are probably the most popular approach in uncertainty quantification to computing expected values of quantities of interest (QoIs). Multilevel Monte Carlo…

Numerical Analysis · Mathematics 2022-04-12 Marcus J. Grote , Simon Michel , Fabio Nobile

Neural networks with low-precision weights and activations offer compelling efficiency advantages over their full-precision equivalents. The two most frequently discussed benefits of quantization are reduced memory consumption, and a faster…

Machine Learning · Computer Science 2018-02-01 Angus Galloway , Graham W. Taylor , Medhat Moussa

Deploying Deep Neural Networks in low-power embedded devices for real time-constrained applications requires optimization of memory and computational complexity of the networks, usually by quantizing the weights. Most of the existing works…

Machine Learning · Computer Science 2022-03-11 Dominika Przewlocka-Rus , Syed Shakib Sarwar , H. Ekin Sumbul , Yuecheng Li , Barbara De Salvo