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Quantization neural networks (QNNs) are very attractive to the industry because their extremely cheap calculation and storage overhead, but their performance is still worse than that of networks with full-precision parameters. Most of…

Computer Vision and Pattern Recognition · Computer Science 2020-02-13 Chuanjian Liu , Kai Han , Yunhe Wang , Hanting Chen , Qi Tian , Chunjing Xu

Bayesian neural networks (BNNs) are making significant progress in many research areas where decision-making needs to be accompanied by uncertainty estimation. Being able to quantify uncertainty while making decisions is essential for…

Machine Learning · Computer Science 2021-06-07 Martin Ferianc , Partha Maji , Matthew Mattina , Miguel Rodrigues

Recent advances in neural networks have led to significant computational and memory demands, spurring interest in one-bit weight compression to enable efficient inference on resource-constrained devices. However, the theoretical…

Machine Learning · Computer Science 2025-10-21 Danil Akhtiamov , Reza Ghane , Babak Hassibi

Neural network quantization methods often involve simulating the quantization process during training, making the trained model highly dependent on the target bit-width and precise way quantization is performed. Robust quantization offers…

Machine Learning · Computer Science 2020-10-23 Moran Shkolnik , Brian Chmiel , Ron Banner , Gil Shomron , Yury Nahshan , Alex Bronstein , Uri Weiser

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

Batch Normalization (BN) improves both convergence and generalization in training neural networks. This work understands these phenomena theoretically. We analyze BN by using a basic block of neural networks, consisting of a kernel layer, a…

Machine Learning · Computer Science 2019-04-25 Ping Luo , Xinjiang Wang , Wenqi Shao , Zhanglin Peng

Quantization is an essential step in the efficient deployment of deep learning models and as such is an increasingly popular research topic. An important practical aspect that is not addressed in the current literature is how to analyze and…

Machine Learning · Computer Science 2020-12-16 Shachar Gluska , Mark Grobman

We challenge the prevailing view that weight oscillations observed during Quantization Aware Training (QAT) are merely undesirable side-effects and argue instead that they are an essential part of QAT. We show in a univariate linear model…

Machine Learning · Computer Science 2025-12-10 Jonathan Wenshøj , Bob Pepin , Raghavendra Selvan

As soon as abstract mathematical computations were adapted to computation on digital computers, the problem of efficient representation, manipulation, and communication of the numerical values in those computations arose. Strongly related…

Computer Vision and Pattern Recognition · Computer Science 2021-06-23 Amir Gholami , Sehoon Kim , Zhen Dong , Zhewei Yao , Michael W. Mahoney , Kurt Keutzer

Quantum neural networks (QNNs) use parameterized quantum circuits with data-dependent inputs and generate outputs through the evaluation of expectation values. Calculating these expectation values necessitates repeated circuit evaluations,…

Quantum Physics · Physics 2024-06-26 David A. Kreplin , Marco Roth

Deep neural networks (DNNs) can be made hardware-efficient by reducing the numerical precision of the weights and activations of the network and by improving the network's resilience to noise. However, this gain in efficiency often comes at…

Quantization is emerging as an efficient approach to promote hardware-friendly deep learning and run deep neural networks on resource-limited hardware. However, it still causes a significant decrease to the network in accuracy. We summarize…

Machine Learning · Computer Science 2021-12-03 Haotong Qin

Quantised neural networks (QNNs) shrink models and reduce inference energy through low-bit arithmetic, yet most still depend on a running statistics batch normalisation (BN) layer, preventing true integer-only deployment. Prior attempts…

Machine Learning · Computer Science 2025-12-19 Pengfei Sun , Wenyu Jiang , Piew Yoong Chee , Paul Devos , Dick Botteldooren

Reducing bit-widths of activations and weights of deep networks makes it efficient to compute and store them in memory, which is crucial in their deployments to resource-limited devices, such as mobile phones. However, decreasing bit-widths…

Computer Vision and Pattern Recognition · Computer Science 2018-11-26 Sangil Jung , Changyong Son , Seohyung Lee , Jinwoo Son , Youngjun Kwak , Jae-Joon Han , Sung Ju Hwang , Changkyu Choi

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

Existing neural networks are memory-consuming and computationally intensive, making deploying them challenging in resource-constrained environments. However, there are various methods to improve their efficiency. Two such methods are…

Machine Learning · Computer Science 2023-11-10 Anastasiia Prutianova , Alexey Zaytsev , Chung-Kuei Lee , Fengyu Sun , Ivan Koryakovskiy

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

We introduce a quantization-aware training algorithm that guarantees avoiding numerical overflow when reducing the precision of accumulators during inference. We leverage weight normalization as a means of constraining parameters during…

Machine Learning · Computer Science 2023-02-01 Ian Colbert , Alessandro Pappalardo , Jakoba Petri-Koenig

With the development of deep neural networks, the size of network models becomes larger and larger. Model compression has become an urgent need for deploying these network models to mobile or embedded devices. Model quantization is a…

Machine Learning · Computer Science 2019-07-02 Wen-Pu Cai , Wu-Jun Li

The quantization of neural networks for the mitigation of the nonlinear and components' distortions in dual-polarization optical fiber transmission is studied. Two low-complexity neural network equalizers are applied in three 16-QAM 34.4…

Signal Processing · Electrical Eng. & Systems 2023-10-11 Jamal Darweesh , Nelson Costa , Antonio Napoli , Bernhard Spinnler , Yves Jaouen , Mansoor Yousefi