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We present a general numerical approach for learning unknown dynamical systems using deep neural networks (DNNs). Our method is built upon recent studies that identified the residue network (ResNet) as an effective neural network structure.…

Machine Learning · Computer Science 2021-06-02 Zhen Chen , Dongbin Xiu

In this paper, we show that feedforward and recurrent neural networks exhibit an outer product derivative structure but that convolutional neural networks do not. This structure makes it possible to use higher-order information without…

Machine Learning · Computer Science 2018-10-10 Craig Bakker , Michael J. Henry , Nathan O. Hodas

Recurrent Neural Networks (RNNs) are very successful at solving challenging problems with sequential data. However, this observed efficiency is not yet entirely explained by theory. It is known that a certain class of multiplicative RNNs…

Machine Learning · Computer Science 2019-01-31 Valentin Khrulkov , Oleksii Hrinchuk , Ivan Oseledets

Models based on deep convolutional networks have dominated recent image interpretation tasks; we investigate whether models which are also recurrent, or "temporally deep", are effective for tasks involving sequences, visual and otherwise.…

Computer Vision and Pattern Recognition · Computer Science 2016-06-02 Jeff Donahue , Lisa Anne Hendricks , Marcus Rohrbach , Subhashini Venugopalan , Sergio Guadarrama , Kate Saenko , Trevor Darrell

Residual networks (ResNets) represent a powerful type of convolutional neural network (CNN) architecture, widely adopted and used in various tasks. In this work we propose an improved version of ResNets. Our proposed improvements address…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Ionut Cosmin Duta , Li Liu , Fan Zhu , Ling Shao

Efforts to improve the adversarial robustness of convolutional neural networks have primarily focused on developing more effective adversarial training methods. In contrast, little attention was devoted to analyzing the role of…

Computer Vision and Pattern Recognition · Computer Science 2022-12-22 Shihua Huang , Zhichao Lu , Kalyanmoy Deb , Vishnu Naresh Boddeti

Overparameterized neural networks enjoy great representation power on complex data, and more importantly yield sufficiently smooth output, which is crucial to their generalization and robustness. Most existing function approximation…

Machine Learning · Statistics 2022-06-10 Hao Liu , Minshuo Chen , Siawpeng Er , Wenjing Liao , Tong Zhang , Tuo Zhao

Modern neural networks (NN) featuring a large number of layers (depth) and units per layer (width) have achieved a remarkable performance across many domains. While there exists a vast literature on the interplay between infinitely wide NNs…

Machine Learning · Statistics 2021-09-21 Stefano Peluchetti , Stefano Favaro

Recurrent Networks are one of the most powerful and promising artificial neural network algorithms to processing the sequential data such as natural languages, sound, time series data. Unlike traditional feed-forward network, Recurrent…

Machine Learning · Computer Science 2018-07-11 Pushparaja Murugan

In recent years, the connections between deep residual networks and first-order Ordinary Differential Equations (ODEs) have been disclosed. In this work, we further bridge the deep neural architecture design with the second-order ODEs and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Duo Li , Shang-Hua Gao

After a more than decade-long period of relatively little research activity in the area of recurrent neural networks, several new developments will be reviewed here that have allowed substantial progress both in understanding and in…

Machine Learning · Computer Science 2012-12-17 Yoshua Bengio , Nicolas Boulanger-Lewandowski , Razvan Pascanu

Deep neural networks are highly expressive machine learning models with the ability to interpolate arbitrary datasets. Deep nets are typically optimized via first-order methods and the optimization process crucially depends on the…

Machine Learning · Statistics 2019-11-12 Talha Cihad Gulcu

We present Hierarchical Residual Networks (HiResNets), deep convolutional neural networks with long-range residual connections between layers at different hierarchical levels. HiResNets draw inspiration on the organization of the mammalian…

Machine Learning · Computer Science 2025-02-27 Francisco M. López , Jochen Triesch

Deep residual networks (ResNets) have significantly pushed forward the state-of-the-art on image classification, increasing in performance as networks grow both deeper and wider. However, memory consumption becomes a bottleneck, as one…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Aidan N. Gomez , Mengye Ren , Raquel Urtasun , Roger B. Grosse

3D shape models that directly classify objects from 3D information have become more widely implementable. Current state of the art models rely on deep convolutional and inception models that are resource intensive. Residual neural networks…

Computer Vision and Pattern Recognition · Computer Science 2017-10-04 Varun Arvind , Anthony Costa , Marcus Badgeley , Samuel Cho , Eric Oermann

We present hyper-connections, a simple yet effective method that can serve as an alternative to residual connections. This approach specifically addresses common drawbacks observed in residual connection variants, such as the seesaw effect…

Machine Learning · Computer Science 2025-03-19 Defa Zhu , Hongzhi Huang , Zihao Huang , Yutao Zeng , Yunyao Mao , Banggu Wu , Qiyang Min , Xun Zhou

Interest in biologically inspired alternatives to backpropagation is driven by the desire to both advance connections between deep learning and neuroscience and address backpropagation's shortcomings on tasks such as online, continual…

Neural and Evolutionary Computing · Computer Science 2020-06-18 Jack Lindsey , Ashok Litwin-Kumar

A key attribute that drives the unprecedented success of modern Recurrent Neural Networks (RNNs) on learning tasks which involve sequential data, is their ability to model intricate long-term temporal dependencies. However, a well…

Machine Learning · Computer Science 2018-06-07 Yoav Levine , Or Sharir , Alon Ziv , Amnon Shashua

Spiking Neural Network (SNN) is known as the most famous brain-inspired model, but the non-differentiable spiking mechanism makes it hard to train large-scale SNNs. To facilitate the training of large-scale SNNs, many training methods are…

Neural and Evolutionary Computing · Computer Science 2023-11-10 Yudong Li , Yunlin Lei , Xu Yang

Two-stream Convolutional Networks (ConvNets) have shown strong performance for human action recognition in videos. Recently, Residual Networks (ResNets) have arisen as a new technique to train extremely deep architectures. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2016-11-08 Christoph Feichtenhofer , Axel Pinz , Richard P. Wildes