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In the field of deep learning, the prevalence of models initially trained with 32-bit precision is a testament to its robustness and accuracy. However, the continuous evolution of these models often demands further training, which can be…

Machine Learning · Computer Science 2023-12-04 Juyoung Yun

Training convolutional neural network models is memory intensive since back-propagation requires storing activations of all intermediate layers. This presents a practical concern when seeking to deploy very deep architectures in production,…

Machine Learning · Computer Science 2019-10-30 Ayan Chakrabarti , Benjamin Moseley

Multilayered artificial neural networks are becoming a pervasive tool in a host of application fields. At the heart of this deep learning revolution are familiar concepts from applied and computational mathematics; notably, in calculus,…

History and Overview · Mathematics 2018-01-19 Catherine F. Higham , Desmond J. Higham

Probabilistic generative neural networks are useful for many applications, such as image classification, speech recognition and occlusion removal. However, the power budget for hardware implementations of neural networks can be extremely…

Neural and Evolutionary Computing · Computer Science 2017-05-09 Xiaojing Xu , Srinjoy Das , Ken Kreutz-Delgado

Reducing hardware overhead of neural networks for faster or lower power inference and training is an active area of research. Uniform quantization using integer multiply-add has been thoroughly investigated, which requires learning many…

Numerical Analysis · Computer Science 2018-11-06 Jeff Johnson

It is well understood that neural networks with carefully hand-picked weights provide powerful function approximation and that they can be successfully trained in over-parametrized regimes. Since over-parametrization ensures zero training…

Machine Learning · Computer Science 2024-05-21 G. Welper

Recent years have witnessed the great advance of deep learning in a variety of vision tasks. Many state-of-the-art deep neural networks suffer from large size and high complexity, which makes it difficult to deploy in resource-limited…

Computer Vision and Pattern Recognition · Computer Science 2019-05-29 Zhengguang Zhou , Wengang Zhou , Xutao Lv , Xuan Huang , Xiaoyu Wang , Houqiang Li

In this paper, we develop a novel second-order method for training feed-forward neural nets. At each iteration, we construct a quadratic approximation to the cost function in a low-dimensional subspace. We minimize this approximation inside…

Computer Vision and Pattern Recognition · Computer Science 2018-05-25 Viacheslav Dudar , Giovanni Chierchia , Emilie Chouzenoux , Jean-Christophe Pesquet , Vladimir Semenov

Deep learning has achieved state-of-the-art accuracies on several computer vision tasks. However, the computational and energy requirements associated with training such deep neural networks can be quite high. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-04 Aosong Feng , Priyadarshini Panda

We present a novel deep learning approach to approximate the solution of large, sparse, symmetric, positive-definite linear systems of equations. These systems arise from many problems in applied science, e.g., in numerical methods for…

Machine Learning · Computer Science 2022-10-04 Ayano Kaneda , Osman Akar , Jingyu Chen , Victoria Kala , David Hyde , Joseph Teran

Quantization of the weights and activations is one of the main methods to reduce the computational footprint of Deep Neural Networks (DNNs) training. Current methods enable 4-bit quantization of the forward phase. However, this constitutes…

Machine Learning · Computer Science 2024-06-11 Brian Chmiel , Ron Banner , Elad Hoffer , Hilla Ben Yaacov , Daniel Soudry

In this paper, we seek to tackle a challenge in training low-precision networks: the notorious difficulty in propagating gradient through a low-precision network due to the non-differentiable quantization function. We propose a solution by…

Computer Vision and Pattern Recognition · Computer Science 2020-03-19 Bohan Zhuang , Lingqiao Liu , Mingkui Tan , Chunhua Shen , Ian Reid

Adaptive Precision Training: Quantify Back Propagation in Neural Networks with Fixed-point Numbers. Recent emerged quantization technique has been applied to inference of deep neural networks for fast and efficient execution. However,…

Machine Learning · Computer Science 2020-03-06 Xishan Zhang , Shaoli Liu , Rui Zhang , Chang Liu , Di Huang , Shiyi Zhou , Jiaming Guo , Yu Kang , Qi Guo , Zidong Du , Yunji Chen

Training a neural network (NN) typically relies on some type of curve-following method, such as gradient descent (GD) (and stochastic gradient descent (SGD)), ADADELTA, ADAM or limited memory algorithms. Convergence for these algorithms…

Machine Learning · Computer Science 2023-05-08 Michael A Kouritzin , Stephen Styles , Beatrice-Helen Vritsiou

Edge training of Deep Neural Networks (DNNs) is a desirable goal for continuous learning; however, it is hindered by the enormous computational power required by training. Hardware approximate multipliers have shown their effectiveness for…

Hardware Architecture · Computer Science 2022-09-26 Jing Gong , Hassaan Saadat , Hasindu Gamaarachchi , Haris Javaid , Xiaobo Sharon Hu , Sri Parameswaran

Recently, the posit numerical format has shown promise for DNN data representation and compute with ultra-low precision ([5..8]-bit). However, majority of studies focus only on DNN inference. In this work, we propose DNN training using…

Machine Learning · Computer Science 2019-08-01 Hamed F. Langroudi , Zachariah Carmichael , Dhireesha Kudithipudi

In this paper, we present an approach for minimizing the computational complexity of trained Convolutional Neural Networks (ConvNet). The idea is to approximate all elements of a given ConvNet and replace the original convolutional filters…

Machine Learning · Computer Science 2022-08-02 R. J. Cintra , S. Duffner , C. Garcia , A. Leite

Modern deep neural networks require a significant amount of computing time and power to train and deploy, which limits their usage on edge devices. Inspired by the iterative weight pruning in the Lottery Ticket Hypothesis, we propose…

Machine Learning · Computer Science 2022-07-15 John Tan Chong Min , Mehul Motani

Training deep neural networks in low rank, i.e. with factorised layers, is of particular interest to the community: it offers efficiency over unfactorised training in terms of both memory consumption and training time. Prior work has…

Machine Learning · Computer Science 2022-09-28 Siddhartha Rao Kamalakara , Acyr Locatelli , Bharat Venkitesh , Jimmy Ba , Yarin Gal , Aidan N. Gomez

The ever-growing computational demands of increasingly complex machine learning models frequently necessitate the use of powerful cloud-based infrastructure for their training. Binary neural networks are known to be promising candidates for…