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Based on the tree architecture, the objective of this paper is to design deep neural networks with two or more hidden layers (called deep nets) for realization of radial functions so as to enable rotational invariance for near-optimal…

Machine Learning · Computer Science 2019-04-04 Charles K. Chui , Shao-Bo Lin , Ding-Xuan Zhou

Error backpropagation is a highly effective mechanism for learning high-quality hierarchical features in deep networks. Updating the features or weights in one layer, however, requires waiting for the propagation of error signals from…

Neural and Evolutionary Computing · Computer Science 2017-11-21 Hesham Mostafa , Vishwajith Ramesh , Gert Cauwenberghs

The learning capability of a neural network improves with increasing depth at higher computational costs. Wider layers with dense kernel connectivity patterns furhter increase this cost and may hinder real-time inference. We propose feature…

Machine Learning · Computer Science 2016-11-01 Sajid Anwar , Wonyong Sung

We consider dynamical and geometrical aspects of deep learning. For many standard choices of layer maps we display semi-invariant metrics which quantify differences between data or decision functions. This allows us, when considering random…

Machine Learning · Computer Science 2021-04-23 Benny Avelin , Anders Karlsson

Recent work has shown that convolutional networks can be substantially deeper, more accurate, and efficient to train if they contain shorter connections between layers close to the input and those close to the output. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2018-01-30 Gao Huang , Zhuang Liu , Laurens van der Maaten , Kilian Q. Weinberger

We propose an incremental training method that partitions the original network into sub-networks, which are then gradually incorporated in the running network during the training process. To allow for a smooth dynamic growth of the network,…

Machine Learning · Computer Science 2018-03-29 Roxana Istrate , Adelmo Cristiano Innocenza Malossi , Costas Bekas , Dimitrios Nikolopoulos

Recognizing objects in natural images is an intricate problem involving multiple conflicting objectives. Deep convolutional neural networks, trained on large datasets, achieve convincing results and are currently the state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2017-10-09 Lars Hertel , Erhardt Barth , Thomas Käster , Thomas Martinetz

Deep neural networks have recently achieved state of the art performance thanks to new training algorithms for rapid parameter estimation and new regularization methods to reduce overfitting. However, in practice the network architecture…

Machine Learning · Computer Science 2016-03-04 Minyoung Kim , Luca Rigazio

Very deep convolutional neural networks offer excellent recognition results, yet their computational expense limits their impact for many real-world applications. We introduce BlockDrop, an approach that learns to dynamically choose which…

Computer Vision and Pattern Recognition · Computer Science 2019-01-29 Zuxuan Wu , Tushar Nagarajan , Abhishek Kumar , Steven Rennie , Larry S. Davis , Kristen Grauman , Rogerio Feris

Training deep neural networks is a very demanding task, especially challenging is how to adapt architectures to improve the performance of trained models. We can find that sometimes, shallow networks generalize better than deep networks,…

Machine Learning · Computer Science 2022-08-03 David Peer , Bart Keulen , Sebastian Stabinger , Justus Piater , Antonio Rodríguez-Sánchez

Training very deep networks is an important open problem in machine learning. One of many difficulties is that the norm of the back-propagated error gradient can grow or decay exponentially. Here we show that training very deep feed-forward…

Neural and Evolutionary Computing · Computer Science 2015-03-03 David Sussillo , L. F. Abbott

In recent years, state-of-the-art methods in computer vision have utilized increasingly deep convolutional neural network architectures (CNNs), with some of the most successful models employing hundreds or even thousands of layers. A…

Machine Learning · Statistics 2018-07-11 Lechao Xiao , Yasaman Bahri , Jascha Sohl-Dickstein , Samuel S. Schoenholz , Jeffrey Pennington

Despite the increasing prevalence of deep neural networks, their applicability in resource-constrained devices is limited due to their computational load. While modern devices exhibit a high level of parallelism, real-time latency is still…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Amir Ben Dror , Niv Zehngut , Avraham Raviv , Evgeny Artyomov , Ran Vitek , Roy Jevnisek

Deep neural network architectures have recently produced excellent results in a variety of areas in artificial intelligence and visual recognition, well surpassing traditional shallow architectures trained using hand-designed features. The…

Computer Vision and Pattern Recognition · Computer Science 2016-04-15 Catalin Ionescu , Orestis Vantzos , Cristian Sminchisescu

A deep residual network, built by stacking a sequence of residual blocks, is easy to train, because identity mappings skip residual branches and thus improve information flow. To further reduce the training difficulty, we present a simple…

Computer Vision and Pattern Recognition · Computer Science 2017-07-20 Liming Zhao , Jingdong Wang , Xi Li , Zhuowen Tu , Wenjun Zeng

The current deep learning model is of a single-grade, that is, it learns a deep neural network by solving a single nonconvex optimization problem. When the layer number of the neural network is large, it is computationally challenging to…

Machine Learning · Computer Science 2023-02-02 Yuesheng Xu

In this paper, we propose Stochastic Block-ADMM as an approach to train deep neural networks in batch and online settings. Our method works by splitting neural networks into an arbitrary number of blocks and utilizes auxiliary variables to…

Machine Learning · Computer Science 2021-05-04 Saeed Khorram , Xiao Fu , Mohamad H. Danesh , Zhongang Qi , Li Fuxin

Understanding the implicit bias of training algorithms is of crucial importance in order to explain the success of overparametrised neural networks. In this paper, we study the dynamics of stochastic gradient descent over diagonal linear…

Machine Learning · Computer Science 2021-12-08 Scott Pesme , Loucas Pillaud-Vivien , Nicolas Flammarion

Convolutional Neural Network (CNN) has gained state-of-the-art results in many pattern recognition and computer vision tasks. However, most of the CNN structures are manually designed by experienced researchers. Therefore, auto- matically…

Neural and Evolutionary Computing · Computer Science 2018-10-26 Guoqiang Zhong , Tao Li , Wenxue Liu , Yang Chen

Multilayer networks have seen a resurgence under the umbrella of deep learning. Current deep learning algorithms train the layers of the network sequentially, improving algorithmic performance as well as providing some regularization. We…

Machine Learning · Computer Science 2016-02-22 Ke Wu , Malik Magdon-Ismail