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Backpropagation (BP) is widely used for calculating gradients in deep neural networks (DNNs). Applied often along with stochastic gradient descent (SGD) or its variants, BP is considered as a de-facto choice in a variety of machine learning…

机器学习 · 计算机科学 2024-01-11 Ziang Li , Yiwen Guo , Haodi Liu , Changshui Zhang

Training deep neural networks (DNNs) efficiently is a challenge due to the associated highly nonconvex optimization. The backpropagation (backprop) algorithm has long been the most widely used algorithm for gradient computation of…

机器学习 · 统计学 2018-03-28 Tim Tsz-Kit Lau , Jinshan Zeng , Baoyuan Wu , Yuan Yao

Convolutional Neural Networks (ConvNets or CNNs) have been candidly deployed in the scope of computer vision and related fields. Nevertheless, the dynamics of training of these neural networks lie still elusive: it is hard and…

计算机视觉与模式识别 · 计算机科学 2023-09-13 Nguyen Huu Phong , Augusto Santos , Bernardete Ribeiro

Recurrent neural networks are powerful models for processing sequential data, but they are generally plagued by vanishing and exploding gradient problems. Unitary recurrent neural networks (uRNNs), which use unitary recurrence matrices,…

机器学习 · 统计学 2016-11-02 Scott Wisdom , Thomas Powers , John R. Hershey , Jonathan Le Roux , Les Atlas

Recently, optical neural networks (ONNs) integrated in photonic chips has received extensive attention because they are expected to implement the same pattern recognition tasks in the electronic platforms with high efficiency and low power…

神经与进化计算 · 计算机科学 2020-01-08 Tian Zhang , Jia Wang , Yihang Dan , Yuxiang Lanqiu , Jian Dai , Xu Han , Xiaojuan Sun , Kun Xu

The optimisation of neural networks can be sped up by orthogonalising the gradients before the optimisation step, ensuring the diversification of the learned representations. We orthogonalise the gradients of the layer's components/filters…

机器学习 · 计算机科学 2022-02-16 Mark Tuddenham , Adam Prügel-Bennett , Jonathan Hare

How to develop slim and accurate deep neural networks has become crucial for real- world applications, especially for those employed in embedded systems. Though previous work along this research line has shown some promising results, most…

神经与进化计算 · 计算机科学 2019-10-02 Xin Dong , Shangyu Chen , Sinno Jialin Pan

This paper presents a novel coordinate descent algorithm leveraging a combination of one-directional line search and gradient information for parameter updates for a squared error loss function. Each parameter undergoes updates determined…

机器学习 · 计算机科学 2024-08-05 Yen-Che Hsiao , Abhishek Dutta

This paper proposes a fractional order gradient method for the backward propagation of convolutional neural networks. To overcome the problem that fractional order gradient method cannot converge to real extreme point, a simplified…

最优化与控制 · 数学 2020-01-07 Dian Sheng , Yiheng Wei , Yuquan Chen , Yong Wang

A Deep Neural Network (DNN) is a composite function of vector-valued functions, and in order to train a DNN, it is necessary to calculate the gradient of the loss function with respect to all parameters. This calculation can be a…

机器学习 · 计算机科学 2023-06-02 Saeed Damadi , Golnaz Moharrer , Mostafa Cham

Pruning neural networks at initialization would enable us to find sparse models that retain the accuracy of the original network while consuming fewer computational resources for training and inference. However, current methods are…

This paper introduces a novel approach to solve inverse problems by leveraging deep learning techniques. The objective is to infer unknown parameters that govern a physical system based on observed data. We focus on scenarios where the…

机器学习 · 计算机科学 2023-10-02 Sidney Besnard , Frédéric Jurie , Jalal M. Fadili

Neural networks (NN) have achieved state-of-the-art performance in various applications. Unfortunately in applications where training data is insufficient, they are often prone to overfitting. One effective way to alleviate this problem is…

机器学习 · 计算机科学 2016-11-03 Hao Wang , Xingjian Shi , Dit-Yan Yeung

Fourier phase retrieval (FPR) is a challenging task widely used in various applications. It involves recovering an unknown signal from its Fourier phaseless measurements. FPR with few measurements is important for reducing time and hardware…

图像与视频处理 · 电气工程与系统科学 2023-07-19 Liyuan Ma , Hongxia Wang , Ningyi Leng , Ziyang Yuan

Optics is an exciting route for the next generation of computing hardware for machine learning, promising several orders of magnitude enhancement in both computational speed and energy efficiency. However, to reach the full capacity of an…

光学 · 物理学 2025-02-07 James Spall , Xianxin Guo , A. I. Lvovsky

Recurrent neural networks (RNNs) are a class of neural networks used in sequential tasks. However, in general, RNNs have a large number of parameters and involve enormous computational costs by repeating the recurrent structures in many…

Physics-informed neural networks (PINNs) are extensively employed to solve partial differential equations (PDEs) by ensuring that the outputs and gradients of deep learning models adhere to the governing equations. However, constrained by…

机器学习 · 计算机科学 2025-07-21 Chenhao Si , Ming Yan

Mixed-signal neuromorphic processors provide extremely low-power operation for edge inference workloads, taking advantage of sparse asynchronous computation within Spiking Neural Networks (SNNs). However, deploying robust applications to…

新兴技术 · 计算机科学 2024-05-03 Uğurcan Çakal , Maryada , Chenxi Wu , Ilkay Ulusoy , Dylan R. Muir

Recurrent neural networks (RNNs) have recently demonstrated strong performance and faster inference than Transformers at comparable parameter budgets. However, the recursive gradient computation with the backpropagation through time (or…

机器学习 · 计算机科学 2025-04-01 Paul Caillon , Erwan Fagnou , Alexandre Allauzen

The success of deep learning over the past decade mainly relies on gradient-based optimisation and backpropagation. This paper focuses on analysing the performance of first-order gradient-based optimisation algorithms, gradient descent and…

最优化与控制 · 数学 2022-12-08 Behnam Mafakheri , Iman Shames , Jonathan H. Manton