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Although the quest for more accurate solutions is pushing deep learning research towards larger and more complex algorithms, edge devices demand efficient inference and therefore reduction in model size, latency and energy consumption. One…

Most real-world applications that employ deep neural networks (DNNs) quantize them to low precision to reduce the compute needs. We present a method to improve the robustness of quantized DNNs to white-box adversarial attacks. We first…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Saurabh Farkya , Aswin Raghavan , Avi Ziskind

To adopt convolutional neural networks (CNN) for a range of resource-constrained targets, it is necessary to compress the CNN models by performing quantization, whereby precision representation is converted to a lower bit representation. To…

Machine Learning · Computer Science 2022-02-22 Jemin Lee , Misun Yu , Yongin Kwon , Taeho Kim

We propose BinaryRelax, a simple two-phase algorithm, for training deep neural networks with quantized weights. The set constraint that characterizes the quantization of weights is not imposed until the late stage of training, and a…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Penghang Yin , Shuai Zhang , Jiancheng Lyu , Stanley Osher , Yingyong Qi , Jack Xin

Quantization-aware training comes with a fundamental challenge: the derivative of quantization functions such as rounding are zero almost everywhere and nonexistent elsewhere. Various differentiable approximations of quantization functions…

Machine Learning · Computer Science 2024-05-24 Matt Schoenbauer , Daniele Moro , Lukasz Lew , Andrew Howard

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

Quantization of weights and activations in Deep Neural Networks (DNNs) is a powerful technique for network compression, and has enjoyed significant attention and success. However, much of the inference-time benefit of quantization is…

Performance · Computer Science 2019-12-13 Andrew Anderson , David Gregg

Low-precision weights and activations in deep neural networks (DNNs) outperform their full-precision counterparts in terms of hardware efficiency. When implemented with low-precision operations, specifically in the extreme case where…

Artificial Intelligence · Computer Science 2024-07-09 Behnam Ghavami , Mohammad Shahidzadeh , Lesley Shannon , Steve Wilton

Deep neural network (DNN) quantization converting floating-point (FP) data in the network to integers (INT) is an effective way to shrink the model size for memory saving and simplify the operations for compute acceleration. Recently,…

Machine Learning · Computer Science 2020-01-01 Yukuan Yang , Shuang Wu , Lei Deng , Tianyi Yan , Yuan Xie , Guoqi Li

Quantization-aware training (QAT) has achieved remarkable success in low-bit ($\leq$4-bit) quantization for classification networks. However, when applied to more complex visual tasks such as object detection and image segmentation,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Zhaoyang Wang , Dong Wang

We present a post-training quantization algorithm with error estimates relying on ideas originating from frame theory. Specifically, we use first-order Sigma-Delta ($\Sigma\Delta$) quantization for finite unit-norm tight frames to quantize…

Machine Learning · Computer Science 2024-04-15 Wojciech Czaja , Sanghoon Na

Quantizing neural networks is one of the most effective methods for achieving efficient inference on mobile and embedded devices. In particular, mixed precision quantized (MPQ) networks, whose layers can be quantized to different bitwidths,…

Machine Learning · Computer Science 2023-07-11 Jorn Peters , Marios Fournarakis , Markus Nagel , Mart van Baalen , Tijmen Blankevoort

Binary neural networks (BNNs), where both weights and activations are binarized into 1 bit, have been widely studied in recent years due to its great benefit of highly accelerated computation and substantially reduced memory footprint that…

Computer Vision and Pattern Recognition · Computer Science 2021-01-01 Zhuo Su , Linpu Fang , Deke Guo , Dewen Hu , Matti Pietikäinen , Li Liu

The performance of a neural network for a given task is largely determined by the initial calibration of the network parameters. Yet, it has been shown that the calibration, also referred to as training, is generally NP-complete. This…

Quantum Physics · Physics 2019-11-21 Yidong Liao , Daniel Ebler , Feiyang Liu , Oscar Dahlsten

Deep neural networks (DNNs) are essential for performing advanced tasks on edge or mobile devices, yet their deployment is often hindered by severe resource constraints, including limited memory, energy, and computational power. While…

Machine Learning · Computer Science 2026-03-04 Qunyou Liu , Pengbo Yu , Marina Zapater , David Atienza

Quantization for deep neural networks (DNN) have enabled developers to deploy models with less memory and more efficient low-power inference. However, not all DNN designs are friendly to quantization. For example, the popular Mobilenet…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Thu Dinh , Andrey Melnikov , Vasilios Daskalopoulos , Sek Chai

Binary Neural Networks (BiNNs), which employ single-bit precision weights, have emerged as a promising solution to reduce memory usage and power consumption while maintaining competitive performance in large-scale systems. However, training…

Quantum Physics · Physics 2025-11-18 Luca Nepote , Alix Lhéritier , Nicolas Bondoux , Marios Kountouris , Maurizio Filippone

Quantization techniques applied to the inference of deep neural networks have enabled fast and efficient execution on resource-constraint devices. The success of quantization during inference has motivated the academic community to explore…

Machine Learning · Computer Science 2021-05-11 Marios Fournarakis , Markus Nagel

Quantification, also known as class prevalence estimation, is the supervised learning task in which a model is trained to predict the prevalence of each class in a given bag of examples. This paper investigates the application of deep…

Machine Learning · Computer Science 2024-03-25 Olaya Pérez-Mon , Alejandro Moreo , Juan José del Coz , Pablo González

We analyze the effect of quantizing weights and activations of neural networks on their loss and derive a simple regularization scheme that improves robustness against post-training quantization. By training quantization-ready networks, our…

Machine Learning · Computer Science 2020-02-19 Milad Alizadeh , Arash Behboodi , Mart van Baalen , Christos Louizos , Tijmen Blankevoort , Max Welling