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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…

机器学习 · 计算机科学 2019-05-30 Naveen Mellempudi , Sudarshan Srinivasan , Dipankar Das , Bharat Kaul

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.…

机器学习 · 计算机科学 2023-06-26 Wonyeol Lee , Rahul Sharma , Alex Aiken

We present a probabilistic variant of the recently introduced maxout unit. The success of deep neural networks utilizing maxout can partly be attributed to favorable performance under dropout, when compared to rectified linear units. It…

机器学习 · 统计学 2014-02-20 Jost Tobias Springenberg , Martin Riedmiller

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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 2015-02-11 Suyog Gupta , Ankur Agrawal , Kailash Gopalakrishnan , Pritish Narayanan

Learning meaningful representations using deep neural networks involves designing efficient training schemes and well-structured networks. Currently, the method of stochastic gradient descent that has a momentum with dropout is one of the…

机器学习 · 计算机科学 2016-01-15 Taehoon Lee , Minsuk Choi , Sungroh Yoon

For most deep learning algorithms training is notoriously time consuming. Since most of the computation in training neural networks is typically spent on floating point multiplications, we investigate an approach to training that eliminates…

机器学习 · 计算机科学 2016-02-29 Zhouhan Lin , Matthieu Courbariaux , Roland Memisevic , Yoshua Bengio

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…

We explore unique considerations involved in fitting ML models to data with very high precision, as is often required for science applications. We empirically compare various function approximation methods and study how they scale with…

机器学习 · 计算机科学 2023-02-01 Eric J. Michaud , Ziming Liu , Max Tegmark

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…

机器学习 · 计算机科学 2021-05-17 Gonçalo Raposo , Pedro Tomás , Nuno Roma

We consider the problem of designing models to leverage a recently introduced approximate model averaging technique called dropout. We define a simple new model called maxout (so named because its output is the max of a set of inputs, and…

机器学习 · 统计学 2013-09-23 Ian J. Goodfellow , David Warde-Farley , Mehdi Mirza , Aaron Courville , Yoshua Bengio

The use of low-precision fixed-point arithmetic along with stochastic rounding has been proposed as a promising alternative to the commonly used 32-bit floating point arithmetic to enhance training neural networks training in terms of…

机器学习 · 计算机科学 2018-04-17 Marc Ortiz , Adrián Cristal , Eduard Ayguadé , Marc Casas

Deep neural networks are commonly developed and trained in 32-bit floating point format. Significant gains in performance and energy efficiency could be realized by training and inference in numerical formats optimized for deep learning.…

Is multiplication really necessary for deep neural networks? Here we propose just adding two IEEE754 floating-point numbers with an integer-add instruction in place of a floating-point multiplication instruction. We show that ResNet can be…

机器学习 · 计算机科学 2020-12-08 Tsuguo Mogami

Different techniques have emerged in the deep learning scenario, such as Convolutional Neural Networks, Deep Belief Networks, and Long Short-Term Memory Networks, to cite a few. In lockstep, regularization methods, which aim to prevent…

机器学习 · 计算机科学 2020-07-28 Claudio Filipi Goncalves do Santos , Danilo Colombo , Mateus Roder , João Paulo Papa

With the increasing size of Deep Neural Network (DNN) models, the high memory space requirements and computational complexity have become an obstacle for efficient DNN implementations. To ease this problem, using reduced-precision…

机器学习 · 计算机科学 2019-09-10 Jinming Lu , Siyuan Lu , Zhisheng Wang , Chao Fang , Jun Lin , Zhongfeng Wang , Li Du

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…

计算机视觉与模式识别 · 计算机科学 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…

神经与进化计算 · 计算机科学 2017-05-12 Hokchhay Tann , Soheil Hashemi , Iris Bahar , Sherief Reda

Fixed-point optimization of deep neural networks plays an important role in hardware based design and low-power implementations. Many deep neural networks show fairly good performance even with 2- or 3-bit precision when quantized weights…

机器学习 · 计算机科学 2017-02-28 Sungho Shin , Yoonho Boo , Wonyong Sung

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…

机器学习 · 计算机科学 2020-01-17 Léopold Cambier , Anahita Bhiwandiwalla , Ting Gong , Mehran Nekuii , Oguz H Elibol , Hanlin Tang
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