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We introduce a method to train Quantized Neural Networks (QNNs) --- neural networks with extremely low precision (e.g., 1-bit) weights and activations, at run-time. At train-time the quantized weights and activations are used for computing…

Neural and Evolutionary Computing · Computer Science 2016-09-23 Itay Hubara , Matthieu Courbariaux , Daniel Soudry , Ran El-Yaniv , Yoshua Bengio

Quantizing deep networks with adaptive bit-widths is a promising technique for efficient inference across many devices and resource constraints. In contrast to static methods that repeat the quantization process and train different models…

Computer Vision and Pattern Recognition · Computer Science 2021-09-20 Ximeng Sun , Rameswar Panda , Chun-Fu Chen , Naigang Wang , Bowen Pan , Kailash Gopalakrishnan , Aude Oliva , Rogerio Feris , Kate Saenko

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

Quantized deep neural networks (QDNNs) are attractive due to their much lower memory storage and faster inference speed than their regular full precision counterparts. To maintain the same performance level especially at low bit-widths,…

Machine Learning · Computer Science 2019-01-08 Penghang Yin , Shuai Zhang , Jiancheng Lyu , Stanley Osher , Yingyong Qi , Jack Xin

Serving large-scale machine learning (ML) models efficiently and with low latency has become challenging owing to increasing model size and complexity. Quantizing models can simultaneously reduce memory and compute requirements,…

Mixed-precision quantization, where a deep neural network's layers are quantized to different precisions, offers the opportunity to optimize the trade-offs between model size, latency, and statistical accuracy beyond what can be achieved…

Machine Learning · Computer Science 2023-07-07 Georg Rutishauser , Francesco Conti , Luca Benini

To make deep neural networks feasible in resource-constrained environments (such as mobile devices), it is beneficial to quantize models by using low-precision weights. One common technique for quantizing neural networks is the…

Machine Learning · Computer Science 2019-03-06 Yu Bai , Yu-Xiang Wang , Edo Liberty

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

Model quantization helps to reduce model size and latency of deep neural networks. Mixed precision quantization is favorable with customized hardwares supporting arithmetic operations at multiple bit-widths to achieve maximum efficiency. We…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Linjie Yang , Qing Jin

This paper proposes two novel techniques to train deep convolutional neural networks with low bit-width weights and activations. First, to obtain low bit-width weights, most existing methods obtain the quantized weights by performing…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Tuan Hoang , Thanh-Toan Do , Tam V. Nguyen , Ngai-Man Cheung

As neural networks grow deeper and wider, learning networks with hard-threshold activations is becoming increasingly important, both for network quantization, which can drastically reduce time and energy requirements, and for creating large…

Machine Learning · Computer Science 2018-04-18 Abram L. Friesen , Pedro Domingos

Post-training quantization (PTQ) for vision transformers (ViTs) has garnered significant attention due to its efficiency in compressing models. However, existing methods typically overlook the relationship between a well-trained NN and the…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Peng Xia , Junbiao Pang , Tianyang Cai

Quantizing the activation, weight, and gradient to 4-bit is promising to accelerate neural network training. However, existing 4-bit training methods require custom numerical formats which are not supported by contemporary hardware. In this…

Machine Learning · Computer Science 2023-06-26 Haocheng Xi , Changhao Li , Jianfei Chen , Jun Zhu

Although deep learning models are highly effective for various learning tasks, their high computational costs prohibit the deployment to scenarios where either memory or computational resources are limited. In this paper, we focus on…

Computer Vision and Pattern Recognition · Computer Science 2017-09-14 Cong Leng , Hao Li , Shenghuo Zhu , Rong Jin

Deep neural networks have enabled progress in a wide variety of applications. Growing the size of the neural network typically results in improved accuracy. As model sizes grow, the memory and compute requirements for training these models…

Fully quantized training (FQT), which uses low-bitwidth hardware by quantizing the activations, weights, and gradients of a neural network model, is a promising approach to accelerate the training of deep neural networks. One major…

Machine Learning · Computer Science 2020-10-28 Jianfei Chen , Yu Gai , Zhewei Yao , Michael W. Mahoney , Joseph E. Gonzalez

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

We present a theoretical and experimental investigation of the quantization problem for artificial neural networks. We provide a mathematical definition of quantized neural networks and analyze their approximation capabilities, showing in…

Machine Learning · Computer Science 2019-05-29 Matteo Spallanzani , Lukas Cavigelli , Gian Paolo Leonardi , Marko Bertogna , Luca Benini

Mixed Precision Quantization (MPQ) has become an essential technique for optimizing neural network by determining the optimal bitwidth per layer. Existing MPQ methods, however, face a major hurdle: they require a computationally expensive…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Lianbo Ma , Jianlun Ma , Yuee Zhou , Guoyang Xie , Qiang He , Zhichao Lu

Quantized neural networks with low-bit weights and activations are attractive for developing AI accelerators. However, the quantization functions used in most conventional quantization methods are non-differentiable, which increases the…

Computer Vision and Pattern Recognition · Computer Science 2020-09-21 Zhaohui Yang , Yunhe Wang , Kai Han , Chunjing Xu , Chao Xu , Dacheng Tao , Chang Xu