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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

Post-training quantization is a representative technique for compressing neural networks, making them smaller and more efficient for deployment on edge devices. However, an inaccessible user dataset often makes it difficult to ensure the…

Machine Learning · Computer Science 2022-01-05 Donghyun Lee , Minkyoung Cho , Seungwon Lee , Joonho Song , Changkyu Choi

Quantized Neural Networks (QNNs) are often used to improve network efficiency during the inference phase, i.e. after the network has been trained. Extensive research in the field suggests many different quantization schemes. Still, the…

Machine Learning · Computer Science 2018-06-19 Ron Banner , Itay Hubara , Elad Hoffer , Daniel Soudry

In deep neural networks (DNNs), there are a huge number of weights and multiply-and-accumulate (MAC) operations. Accordingly, it is challenging to apply DNNs on resource-constrained platforms, e.g., mobile phones. Quantization is a method…

Machine Learning · Computer Science 2022-11-29 Wenhao Sun , Grace Li Zhang , Huaxi Gu , Bing Li , Ulf Schlichtmann

In this paper we present a simple and computationally efficient quantization scheme that enables us to reduce the resolution of the parameters of a neural network from 32-bit floating point values to 8-bit integer values. The proposed…

Machine Learning · Computer Science 2016-12-20 Raziel Alvarez , Rohit Prabhavalkar , Anton Bakhtin

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

Network quantization is an effective solution to compress deep neural networks for practical usage. Existing network quantization methods cannot sufficiently exploit the depth information to generate low-bit compressed network. In this…

Machine Learning · Computer Science 2018-12-18 Yuhui Xu , Yongzhuang Wang , Aojun Zhou , Weiyao Lin , Hongkai Xiong

Deep networks run with low precision operations at inference time offer power and space advantages over high precision alternatives, but need to overcome the challenge of maintaining high accuracy as precision decreases. Here, we present a…

Machine Learning · Computer Science 2020-05-08 Steven K. Esser , Jeffrey L. McKinstry , Deepika Bablani , Rathinakumar Appuswamy , Dharmendra S. Modha

The resource requirements of deep neural networks (DNNs) pose significant challenges to their deployment on edge devices. Common approaches to address this issue are pruning and mixed-precision quantization, which lead to latency and memory…

Quantization is essential to simplify DNN inference in edge applications. Existing uniform and non-uniform quantization methods, however, exhibit an inherent conflict between the representing range and representing resolution, and thereby…

Signal Processing · Electrical Eng. & Systems 2020-09-29 Liu Fangxin , Zhao Wenbo , Wang Yanzhi , Dai Changzhi , Jiang Li

We consider the one-bit quantizer that minimizes the mean squared error for a source living in a real Hilbert space. The optimal quantizer is a projection followed by a thresholding operation, and we provide methods for identifying the…

Information Theory · Computer Science 2022-02-14 Sourbh Bhadane , Aaron B. Wagner

Deep neural networks (DNNs) have demonstrated their great potential in recent years, exceeding the per-formance of human experts in a wide range of applications. Due to their large sizes, however, compressiontechniques such as weight…

Computer Vision and Pattern Recognition · Computer Science 2021-10-15 Wentao Chen , Hailong Qiu , Jian Zhuang , Chutong Zhang , Yu Hu , Qing Lu , Tianchen Wang , Yiyu Shi , Meiping Huang , Xiaowe Xu

Low-bit deep neural networks (DNNs) become critical for embedded applications due to their low storage requirement and computing efficiency. However, they suffer much from the non-negligible accuracy drop. This paper proposes the stochastic…

Computer Vision and Pattern Recognition · Computer Science 2017-08-04 Yinpeng Dong , Renkun Ni , Jianguo Li , Yurong Chen , Jun Zhu , Hang Su

Quantization enables efficient acceleration of deep neural networks by reducing model memory footprint and exploiting low-cost integer math hardware units. Quantization maps floating-point weights and activations in a trained model to…

Machine Learning · Computer Science 2021-02-11 Steve Dai , Rangharajan Venkatesan , Haoxing Ren , Brian Zimmer , William J. Dally , Brucek Khailany

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

Quantizing the weights of a neural network has two steps: (1) Finding a good low bit-complexity representation for weights (which we call the quantization grid) and (2) Rounding the original weights to values in the quantization grid. In…

Machine Learning · Computer Science 2025-01-14 Jerry Chee , Arturs Backurs , Rainie Heck , Li Zhang , Janardhan Kulkarni , Thomas Rothvoss , Sivakanth Gopi

The optimal bit-width for achieving the best trade-off between quantized model size and accuracy has been a subject of ongoing debate. While some advocate for 4-bit quantization, others propose that 1.58-bit offers superior results.…

Network quantization has rapidly become one of the most widely used methods to compress and accelerate deep neural networks. Recent efforts propose to quantize weights and activations from different layers with different precision to…

Machine Learning · Computer Science 2020-03-18 Yuhang Li , Wei Wang , Haoli Bai , Ruihao Gong , Xin Dong , Fengwei Yu

Quantization and pruning are two effective Deep Neural Networks model compression methods. In this paper, we propose Automatic Prune Binarization (APB), a novel compression technique combining quantization with pruning. APB enhances the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-18 Franco Maria Nardini , Cosimo Rulli , Salvatore Trani , Rossano Venturini

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…

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