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Residual deep neural networks (ResNets) are mathematically described as interacting particle systems. In the case of infinitely many layers the ResNet leads to a system of coupled system of ordinary differential equations known as neural…

Analysis of PDEs · Mathematics 2022-05-11 M. Herty , A. Thuenen , T. Trimborn , G. Visconti

Recently, very deep convolutional neural networks (CNNs) have shown outstanding performance in object recognition and have also been the first choice for dense classification problems such as semantic segmentation. However, repeated…

Computer Vision and Pattern Recognition · Computer Science 2016-11-28 Guosheng Lin , Anton Milan , Chunhua Shen , Ian Reid

Residual Network (ResNet) is undoubtedly a milestone in deep learning. ResNet is equipped with shortcut connections between layers, and exhibits efficient training using simple first order algorithms. Despite of the great empirical success,…

Machine Learning · Computer Science 2019-11-05 Tianyi Liu , Minshuo Chen , Mo Zhou , Simon S. Du , Enlu Zhou , Tuo Zhao

Image restoration is a low-level vision task which is to restore degraded images to noise-free images. With the success of deep neural networks, the convolutional neural networks surpass the traditional restoration methods and become the…

Image and Video Processing · Electrical Eng. & Systems 2023-01-18 Chi-Mao Fan , Tsung-Jung Liu , Kuan-Hsien Liu

In this article, we take one step toward understanding the learning behavior of deep residual networks, and supporting the observation that deep residual networks behave like ensembles. We propose a new convolutional neural network…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Masoud Abdi , Saeid Nahavandi

Neural network pruning is an essential approach for reducing the computational complexity of deep models so that they can be well deployed on resource-limited devices. Compared with conventional methods, the recently developed dynamic…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Yehui Tang , Yunhe Wang , Yixing Xu , Yiping Deng , Chao Xu , Dacheng Tao , Chang Xu

Residual-based neural networks have shown remarkable results in various visual recognition tasks including Facial Expression Recognition (FER). Despite the tremendous efforts have been made to improve the performance of FER systems using…

Computer Vision and Pattern Recognition · Computer Science 2020-04-17 Behzad Hasani , Pooran Singh Negi , Mohammad H. Mahoor

Designing deep neural networks is an art that often involves an expensive search over candidate architectures. To overcome this for recurrent neural nets (RNNs), we establish a connection between the hidden state dynamics in an RNN and…

Machine Learning · Computer Science 2021-12-14 Tan M. Nguyen , Richard G. Baraniuk , Andrea L. Bertozzi , Stanley J. Osher , Bao Wang

Deep neural networks (DNNs) have brought significant advancements in various applications in recent years, such as image recognition, speech recognition, and natural language processing. In particular, Vision Transformers (ViTs) have…

Machine Learning · Computer Science 2025-03-07 Leonid Berlyand , Theo Bourdais , Houman Owhadi , Yitzchak Shmalo

In this work, we propose a deep learning approach for parallel magnetic resonance imaging (MRI) reconstruction, termed a variable splitting network (VS-Net), for an efficient, high-quality reconstruction of undersampled multi-coil MR data.…

Image and Video Processing · Electrical Eng. & Systems 2019-07-24 Jinming Duan , Jo Schlemper , Chen Qin , Cheng Ouyang , Wenjia Bai , Carlo Biffi , Ghalib Bello , Ben Statton , Declan P O'Regan , Daniel Rueckert

Residual Neural Networks (ResNets) achieve state-of-the-art performance in many computer vision problems. Compared to plain networks without residual connections (PlnNets), ResNets train faster, generalize better, and suffer less from the…

Machine Learning · Computer Science 2019-05-28 Shuzhi Yu , Carlo Tomasi

Indoor semantic segmentation has always been a difficult task in computer vision. In this paper, we propose an RGB-D residual encoder-decoder architecture, named RedNet, for indoor RGB-D semantic segmentation. In RedNet, the residual module…

Computer Vision and Pattern Recognition · Computer Science 2018-08-07 Jindong Jiang , Lunan Zheng , Fei Luo , Zhijun Zhang

Deep residual networks have recently shown appealing performance on many challenging computer vision tasks. However, the original residual structure still has some defects making it difficult to converge on very deep networks. In this…

Computer Vision and Pattern Recognition · Computer Science 2016-05-31 Falong Shen , Gang Zeng

Many effective solutions have been proposed to reduce the redundancy of models for inference acceleration. Nevertheless, common approaches mostly focus on eliminating less important filters or constructing efficient operations, while…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Qiulin Zhang , Zhuqing Jiang , Qishuo Lu , Jia'nan Han , Zhengxin Zeng , Shang-hua Gao , Aidong Men

We show that standard ResNet architectures can be made invertible, allowing the same model to be used for classification, density estimation, and generation. Typically, enforcing invertibility requires partitioning dimensions or restricting…

Machine Learning · Computer Science 2019-05-21 Jens Behrmann , Will Grathwohl , Ricky T. Q. Chen , David Duvenaud , Jörn-Henrik Jacobsen

Although multi-agent systems based on large language models show strong capabilities on multiple tasks, they are still limited by high computational overhead, information loss, and robustness. Inspired by ResNet's residual learning, we…

Artificial Intelligence · Computer Science 2025-06-02 Zhentao Xie , Chengcheng Han , Jinxin Shi , Wenjun Cui , Xin Zhao , Xingjiao Wu , Jiabao Zhao

Deep neural networks have a good success record and are thus viewed as the best architecture choice for complex applications. Their main shortcoming has been, for a long time, the vanishing gradient which prevented the numerical…

Machine Learning · Computer Science 2024-05-02 Bernhard Bermeitinger , Tomas Hrycej , Siegfried Handschuh

Randomized neural networks (NNs) are an interesting alternative to conventional NNs that are more used for data modeling. The random vector functional-link (RVFL) network is an established and theoretically well-grounded randomized learning…

Computation · Statistics 2018-04-24 Hien D. Nguyen , Dianhui Wang , Geoffrey J. McLachlan

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

Convolutional neural network (CNN) depth is of crucial importance for image super-resolution (SR). However, we observe that deeper networks for image SR are more difficult to train. The low-resolution inputs and features contain abundant…

Computer Vision and Pattern Recognition · Computer Science 2018-07-16 Yulun Zhang , Kunpeng Li , Kai Li , Lichen Wang , Bineng Zhong , Yun Fu
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