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Related papers: Quaternion Capsule Networks

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Learning self-supervised representations that are invariant and equivariant to transformations is crucial for advancing beyond traditional visual classification tasks. However, many methods rely on predictor architectures to encode…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Athinoulla Konstantinou , Georgios Leontidis , Mamatha Thota , Aiden Durrant

A desireable property of accelerometric gait-based identification systems is robustness to new device orientations presented by users during testing but unseen during the training phase. However, traditional Convolutional neural networks…

Computer Vision and Pattern Recognition · Computer Science 2020-08-18 Bowen Jing , Vinay Prabhu , Angela Gu , John Whaley

Convolutional neural networks (CNNs) have shown remarkable results over the last several years for a wide range of computer vision tasks. A new architecture recently introduced by Sabour et al., referred to as a capsule networks with…

Machine Learning · Statistics 2018-10-15 Rodney LaLonde , Ulas Bagci

Convolutional Neural Networks (CNNs) have achieved promising results in medical image segmentation. However, CNNs require lots of training data and are incapable of handling pose and deformation of objects. Furthermore, their pooling layers…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Minh Tran , Viet-Khoa Vo-Ho , Ngan T. H. Le

The basic computational unit in Capsule Network (CapsNet) is a capsule (vs. neurons in Convolutional Neural Networks (CNNs)). A capsule is a set of neurons, which form a vector. CapsNet is used for supervised classification of data and has…

Computer Vision and Pattern Recognition · Computer Science 2025-10-10 Pouya Shiri , Ramin Sharifi , Amirali Baniasadi

This paper presents an experimental study on the application of quaternions in several machine learning algorithms. Quaternion is a mathematical representation of rotation in three-dimensional space, which can be used to represent complex…

Machine Learning · Computer Science 2023-08-07 Tianlei Zhu , Renzhe Zhu

'Capsule' models try to explicitly represent the poses of objects, enforcing a linear relationship between an object's pose and that of its constituent parts. This modelling assumption should lead to robustness to viewpoint changes since…

Machine Learning · Computer Science 2021-01-07 Lewis Smith , Lisa Schut , Yarin Gal , Mark van der Wilk

Capsule networks (CapsNets) were introduced to address convolutional neural networks limitations, learning object-centric representations that are more robust, pose-aware, and interpretable. They organize neurons into groups called…

Computer Vision and Pattern Recognition · Computer Science 2024-05-31 Riccardo Renzulli

Capsule networks promise significant benefits over convolutional networks by storing stronger internal representations, and routing information based on the agreement between intermediate representations' projections. Despite this, their…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Rodney Lalonde , Naji Khosravan , Ulas Bagci

This article investigates Kak neural networks, which can be instantaneously trained, for complex and quaternion inputs. The performance of the basic algorithm has been analyzed and shown how it provides a plausible model of human perception…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Adityan Rishiyur

We propose a novel quaternion product unit (QPU) to represent data on 3D rotation groups. The QPU leverages quaternion algebra and the law of 3D rotation group, representing 3D rotation data as quaternions and merging them via a weighted…

Computer Vision and Pattern Recognition · Computer Science 2020-04-03 Xuan Zhang , Shaofei Qin , Yi Xu , Hongteng Xu

A capsule is a collection of neurons which represents different variants of a pattern in the network. The routing scheme ensures only certain capsules which resemble lower counterparts in the higher layer should be activated. However, the…

Machine Learning · Computer Science 2018-08-15 Hongyang Li , Xiaoyang Guo , Bo Dai , Wanli Ouyang , Xiaogang Wang

Capsules are the multidimensional analogue to scalar neurons in neural networks, and because they are multidimensional, much more complex routing schemes can be used to pass information forward through the network than what can be used in…

Neural and Evolutionary Computing · Computer Science 2019-07-29 Michael Hauser

Deep convolutional neural networks, assisted by architectural design strategies, make extensive use of data augmentation techniques and layers with a high number of feature maps to embed object transformations. That is highly inefficient…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Vittorio Mazzia , Francesco Salvetti , Marcello Chiaberge

Recently, graph neural networks (GNNs) have become an important and active research direction in deep learning. It is worth noting that most of the existing GNN-based methods learn graph representations within the Euclidean vector space.…

Machine Learning · Computer Science 2021-10-08 Dai Quoc Nguyen , Tu Dinh Nguyen , Dinh Phung

Capsule Networks (CapsNets) is a machine learning architecture proposed to overcome some of the shortcomings of convolutional neural networks (CNNs). However, CapsNets have mainly outperformed CNNs in datasets where images are small and/or…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Juan P. Vigueras-Guillén , Arijit Patra , Ola Engkvist , Frank Seeliger

Convolutional neural networks (CNN) have recently achieved state-of-the-art results in various applications. In the case of image recognition, an ideal model has to learn independently of the training data, both local dependencies between…

Computer Vision and Pattern Recognition · Computer Science 2018-11-08 Titouan Parcollet , Mohamed Morchid , Georges Linarès

We present a 3D capsule module for processing point clouds that is equivariant to 3D rotations and translations, as well as invariant to permutations of the input points. The operator receives a sparse set of local reference frames,…

Machine Learning · Computer Science 2020-08-25 Yongheng Zhao , Tolga Birdal , Jan Eric Lenssen , Emanuele Menegatti , Leonidas Guibas , Federico Tombari

Next-generation radio surveys will yield an unprecedented amount of data, warranting analysis by use of machine learning techniques. Convolutional neural networks are the deep learning technique that has proven to be the most successful in…

Instrumentation and Methods for Astrophysics · Physics 2019-05-29 V. Lukic , M. Brüggen , B. Mingo , J. H. Croston , G. Kasieczka , P. N. Best

Capsule Networks, as alternatives to Convolutional Neural Networks, have been proposed to recognize objects from images. The current literature demonstrates many advantages of CapsNets over CNNs. However, how to create explanations for…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Jindong Gu , Volker Tresp