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The state-of-the-art hardware platforms for training Deep Neural Networks (DNNs) are moving from traditional single precision (32-bit) computations towards 16 bits of precision -- in large part due to the high energy efficiency and smaller…

Machine Learning · Computer Science 2018-12-20 Naigang Wang , Jungwook Choi , Daniel Brand , Chia-Yu Chen , Kailash Gopalakrishnan

Training of large-scale deep neural networks is often constrained by the available computational resources. We study the effect of limited precision data representation and computation on neural network training. Within the context of…

Machine Learning · Computer Science 2015-02-11 Suyog Gupta , Ankur Agrawal , Kailash Gopalakrishnan , Pritish Narayanan

Reduced precision computation for deep neural networks is one of the key areas addressing the widening compute gap driven by an exponential growth in model size. In recent years, deep learning training has largely migrated to 16-bit…

Machine Learning · Computer Science 2019-05-30 Naveen Mellempudi , Sudarshan Srinivasan , Dipankar Das , Bharat Kaul

Artificial neural networks can be trained with relatively low-precision floating-point and fixed-point arithmetic, using between one and 16 bits. Previous works have focused on relatively wide-but-shallow, feed-forward networks. We…

Neural and Evolutionary Computing · Computer Science 2017-02-28 Benjamin Graham

Low-precision formats have proven to be an efficient way to reduce not only the memory footprint but also the hardware resources and power consumption of deep learning computations. Under this premise, the posit numerical format appears to…

Machine Learning · Computer Science 2021-05-17 Gonçalo Raposo , Pedro Tomás , Nuno Roma

Lowering the precision of neural networks from the prevalent 32-bit precision has long been considered harmful to performance, despite the gain in space and time. Many works propose various techniques to implement half-precision neural…

Machine Learning · Computer Science 2024-05-06 Juyoung Yun , Byungkon Kang , Zhoulai Fu

When training deep neural networks, keeping all tensors in high precision (e.g., 32-bit or even 16-bit floats) is often wasteful. However, keeping all tensors in low precision (e.g., 8-bit floats) can lead to unacceptable accuracy loss.…

Machine Learning · Computer Science 2023-06-26 Wonyeol Lee , Rahul Sharma , Alex Aiken

While advancements in quantization have significantly reduced the computational costs of inference in deep learning, training still predominantly relies on complex floating-point arithmetic. Low-precision fixed-point training presents a…

Machine Learning · Computer Science 2025-10-21 Hassan Hamad , Yuou Qiu , Peter A. Beerel , Keith M. Chugg

State-of-the-art generic low-precision training algorithms use a mix of 16-bit and 32-bit precision, creating the folklore that 16-bit hardware compute units alone are not enough to maximize model accuracy. As a result, deep learning…

Machine Learning · Computer Science 2021-03-09 Pedram Zamirai , Jian Zhang , Christopher R. Aberger , Christopher De Sa

Given the current trend of increasing size and complexity of machine learning architectures, it has become of critical importance to identify new approaches to improve the computational efficiency of model training. In this context, we…

Machine Learning · Computer Science 2022-06-08 Badreddine Noune , Philip Jones , Daniel Justus , Dominic Masters , Carlo Luschi

With the increasing complexity of machine learning models, managing computational resources like memory and processing power has become a critical concern. Mixed precision techniques, which leverage different numerical precisions during…

Machine Learning · Computer Science 2026-04-20 Juyoung Yun , Sol Choi , Francois Rameau , Byungkon Kang , Zhoulai Fu

Over the last few years, neural networks have started penetrating safety critical systems to take decisions in robots, rockets, autonomous driving car, etc. A problem is that these critical systems often have limited computing resources.…

Software Engineering · Computer Science 2022-02-24 Hanane Benmaghnia , Matthieu Martel , Yassamine Seladji

Recent advances in convolutional neural networks have considered model complexity and hardware efficiency to enable deployment onto embedded systems and mobile devices. For example, it is now well-known that the arithmetic operations of…

Neural and Evolutionary Computing · Computer Science 2016-03-18 Daisuke Miyashita , Edward H. Lee , Boris Murmann

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…

One of the major bottlenecks in high-resolution Earth Observation (EO) space systems is the downlink between the satellite and the ground. Due to hardware limitations, on-board power limitations or ground-station operation costs, there is a…

Machine Learning · Computer Science 2023-11-21 Cédric Gernigon , Silviu-Ioan Filip , Olivier Sentieys , Clément Coggiola , Mickaël Bruno

Conventional stochastic rounding (CSR) is widely employed in the training of neural networks (NNs), showing promising training results even in low-precision computations. We introduce an improved stochastic rounding method, that is simple…

Machine Learning · Computer Science 2021-03-26 Lu Xia , Martijn Anthonissen , Michiel Hochstenbach , Barry Koren

This paper tackles the problem of training a deep convolutional neural network with both low-precision weights and low-bitwidth activations. Optimizing a low-precision network is very challenging since the training process can easily get…

Computer Vision and Pattern Recognition · Computer Science 2021-06-05 Bohan Zhuang , Chunhua Shen , Mingkui Tan , Lingqiao Liu , Ian Reid

While Deep Neural Networks (DNNs) push the state-of-the-art in many machine learning applications, they often require millions of expensive floating-point operations for each input classification. This computation overhead limits the…

Neural and Evolutionary Computing · Computer Science 2017-05-12 Hokchhay Tann , Soheil Hashemi , Iris Bahar , Sherief Reda

Training with larger number of parameters while keeping fast iterations is an increasingly adopted strategy and trend for developing better performing Deep Neural Network (DNN) models. This necessitates increased memory footprint and…

Machine Learning · Computer Science 2020-01-17 Léopold Cambier , Anahita Bhiwandiwalla , Ting Gong , Mehran Nekuii , Oguz H Elibol , Hanlin Tang

Deep convolutional neural network (CNN) inference requires significant amount of memory and computation, which limits its deployment on embedded devices. To alleviate these problems to some extent, prior research utilize low precision…

Machine Learning · Computer Science 2017-03-10 Liangzhen Lai , Naveen Suda , Vikas Chandra
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