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Past few years have witnessed exponential growth of interest in deep learning methodologies with rapidly improving accuracies and reduced computational complexity. In particular, architectures using Convolutional Neural Networks (CNNs) have…

Computer Vision and Pattern Recognition · Computer Science 2018-05-11 Sai Samarth R Phaye , Apoorva Sikka , Abhinav Dhall , Deepti Bathula

Capsule network is the most recent exciting advancement in the deep learning field and represents positional information by stacking features into vectors. The dynamic routing algorithm is used in the capsule network, however, there are…

Machine Learning · Computer Science 2019-11-20 Qiang Ren , Shaohua Shang , Lianghua He

In this paper, we formalize the idea behind capsule nets of using a capsule vector rather than a neuron activation to predict the label of samples. To this end, we propose to learn a group of capsule subspaces onto which an input feature…

Computer Vision and Pattern Recognition · Computer Science 2018-10-23 Liheng Zhang , Marzieh Edraki , Guo-Jun Qi

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

A capsule is a group of neurons, whose activity vector represents the instantiation parameters of a specific type of entity. In this paper, we explore the capsule networks used for relation extraction in a multi-instance multi-label…

Information Retrieval · Computer Science 2022-11-02 Ningyu Zhang , Shumin Deng , Zhanlin Sun , Xi Chen , Wei Zhang , Huajun Chen

Convolutional Neural Networks (CNNs) has revolutionized computer vision, but training very deep networks has been challenging due to the vanishing gradient problem. This paper explores Residual Networks (ResNet), introduced by He et al.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Xingyu Liu , Kun Ming Goh

Convolutional neural networks use pooling and other downscaling operations to maintain translational invariance for detection of features, but in their architecture they do not explicitly maintain a representation of the locations of the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-16 Prem Nair , Rohan Doshi , Stefan Keselj

We propose a capsule network-based architecture for generalizing learning to new data with few examples. Using both generative and non-generative capsule networks with intermediate routing, we are able to generalize to new information over…

Computer Vision and Pattern Recognition · Computer Science 2018-04-27 Andrew Gritsevskiy , Maksym Korablyov

A recently proposed method in deep learning groups multiple neurons to capsules such that each capsule represents an object or part of an object. Routing algorithms route the output of capsules from lower-level layers to upper-level layers.…

Machine Learning · Computer Science 2021-01-20 David Peer , Sebastian Stabinger , Antonio Rodriguez-Sanchez

Capsule Networks (CapsNets) have been re-introduced as a more compact and interpretable alternative to standard deep neural networks. While recent efforts have proved their compression capabilities, to date, their interpretability…

Machine Learning · Computer Science 2024-12-16 Saja Tawalbeh , José Oramas

Geometric transformations of the training data as well as the test data present challenges to the use of deep neural networks to vision-based learning tasks. In order to address this issue, we present a deep neural network model that…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Sai Raam Venkataraman , S. Balasubramanian , R. Raghunatha Sarma

Capsule networks, which incorporate the paradigms of connectionism and symbolism, have brought fresh insights into artificial intelligence. The capsule, as the building block of capsule networks, is a group of neurons represented by a…

Quantum Physics · Physics 2022-12-19 Zidu Liu , Pei-Xin Shen , Weikang Li , L. -M. Duan , Dong-Ling Deng

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

Residual neural networks (ResNets) are a promising class of deep neural networks that have shown excellent performance for a number of learning tasks, e.g., image classification and recognition. Mathematically, ResNet architectures can be…

Optimization and Control · Mathematics 2019-07-26 S. Günther , L. Ruthotto , J. B. Schroder , E. C. Cyr , N. R. Gauger

Capsule networks are recently proposed as an alternative to modern neural network architectures. Neurons are replaced with capsule units that represent specific features or entities with normalized vectors or matrices. The activation of…

Machine Learning · Computer Science 2021-03-09 Haoyu Yang , Shuhe Li , Bei Yu

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

Residual connections remain ubiquitous in modern neural network architectures nearly a decade after their introduction. Their widespread adoption is often credited to their dramatically improved trainability: residual networks train faster,…

Machine Learning · Computer Science 2025-06-18 Christian H. X. Ali Mehmeti-Göpel , Michael Wand

The trend towards increasingly deep neural networks has been driven by a general observation that increasing depth increases the performance of a network. Recently, however, evidence has been amassing that simply increasing depth may not be…

Computer Vision and Pattern Recognition · Computer Science 2016-12-01 Zifeng Wu , Chunhua Shen , Anton van den Hengel

Machine learning based methods achieves impressive results in object classification and detection. Utilizing representative data of the visual world during the training phase is crucial to achieve good performance with such data driven…

Computer Vision and Pattern Recognition · Computer Science 2022-02-28 Bruno Ferrarini , Shoaib Ehsan , Adrien Bartoli , Aleš Leonardis , Klaus D. McDonald-Maier

A Capsule Network (CapsNet) is a relatively new classifier and one of the possible successors of Convolutional Neural Networks (CNNs). CapsNet maintains the spatial hierarchies between the features and outperforms CNNs at classifying images…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Pouya Shiri , Amirali Baniasadi