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Neural networks in the real domain have been studied for a long time and achieved promising results in many vision tasks for recent years. However, the extensions of the neural network models in other number fields and their potential…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Xuanyu Zhu , Yi Xu , Hongteng Xu , Changjian Chen

In this paper, we propose novel quaternion activation functions where we modify either the quaternion magnitude or the phase, as an alternative to the commonly used split activation functions. We define criteria that are relevant for…

Machine Learning · Computer Science 2024-06-25 Johannes Pöppelbaum , Andreas Schwung

Recently, the connectionist temporal classification (CTC) model coupled with recurrent (RNN) or convolutional neural networks (CNN), made it easier to train speech recognition systems in an end-to-end fashion. However in real-valued models,…

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

Traditional Convolutional Neural Networks (CNNs) typically use the same activation function (usually ReLU) for all neurons with non-linear mapping operations. For example, the deep convolutional architecture Inception-v4 uses ReLU. To…

Computer Vision and Pattern Recognition · Computer Science 2018-05-31 Luna M. Zhang

The use of quaternions as a novel tool for color image representation has yielded impressive results in color image processing. By considering the color image as a unified entity rather than separate color space components, quaternions can…

Image and Video Processing · Electrical Eng. & Systems 2023-05-02 Jifei Miao , Kit Ian Kou , Liqiao Yang , Juan Han

The field of neural networks has seen significant advances in recent years with the development of deep and convolutional neural networks. Although many of the current works address real-valued models, recent studies reveal that neural…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Marco Aurélio Granero , Cristhian Xavier Hernández , Marcos Eduardo Valle

Recently, convolutional neural networks (CNNs) have been used as a powerful tool to solve many problems of machine learning and computer vision. In this paper, we aim to provide insight on the property of convolutional neural networks, as…

Machine Learning · Computer Science 2016-07-20 Wenling Shang , Kihyuk Sohn , Diogo Almeida , Honglak Lee

Recurrent neural networks (RNNs) are powerful architectures to model sequential data, due to their capability to learn short and long-term dependencies between the basic elements of a sequence. Nonetheless, popular tasks such as speech or…

Since their first applications, Convolutional Neural Networks (CNNs) have solved problems that have advanced the state-of-the-art in several domains. CNNs represent information using real numbers. Despite encouraging results, theoretical…

Artificial Intelligence · Computer Science 2025-12-22 Gerardo Altamirano-Gomez , Carlos Gershenson

Conventional Convolutional Neural Networks (CNNs) in the real domain have been widely used for audio classification. However, their convolution operations process multi-channel inputs independently, limiting the ability to capture…

Audio and Speech Processing · Electrical Eng. & Systems 2025-10-27 Arshdeep Singh , Vinayak Abrol , Mark D. Plumbley

Convolutional Neural Networks (CNNs) usually use the same activation function, such as RELU, for all convolutional layers. There are performance limitations of just using RELU. In order to achieve better classification performance, reduce…

Computer Vision and Pattern Recognition · Computer Science 2018-11-30 Luna M. Zhang

Activation functions play a vital role in the training of Convolutional Neural Networks. For this reason, to develop efficient and performing functions is a crucial problem in the deep learning community. Key to these approaches is to…

Computer Vision and Pattern Recognition · Computer Science 2020-09-23 Gianluca Maguolo , Loris Nanni , Stefano Ghidoni

Convolutional neural networks (CNNs) have rapidly risen in popularity for many machine learning applications, particularly in the field of image recognition. Much of the benefit generated from these networks comes from their ability to…

Quantum Physics · Physics 2019-04-10 Maxwell Henderson , Samriddhi Shakya , Shashindra Pradhan , Tristan Cook

Most of convolutional neural networks share the same characteristic: each convolutional layer is followed by a nonlinear activation layer where Rectified Linear Unit (ReLU) is the most widely used. In this paper, we argue that the designed…

Computer Vision and Pattern Recognition · Computer Science 2018-09-03 Gangming Zhao , Zhaoxiang Zhang , He Guan , Peng Tang , Jingdong Wang

Activation functions (AFs) play a pivotal role in the performance of neural networks. The Rectified Linear Unit (ReLU) is currently the most commonly used AF. Several replacements to ReLU have been suggested but improvements have proven…

Neural and Evolutionary Computing · Computer Science 2022-06-27 Raz Lapid , Moshe Sipper

For image classification problems, various neural network models are commonly used due to their success in yielding high accuracies. Convolutional Neural Network (CNN) is one of the most frequently used deep learning methods for image…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Ilkay Sikdokur , Inci Baytas , Arda Yurdakul

This paper investigates the usage of kernel functions at the different layers in a convolutional neural network. We carry out extensive studies of their impact on convolutional, pooling and fully-connected layers. We notice that the linear…

Computer Vision and Pattern Recognition · Computer Science 2023-02-22 M. Amine Mahmoudi , Aladine Chetouani , Fatma Boufera , Hedi Tabia

Artificial neural networks have achieved great success in many fields ranging from image recognition to video understanding. However, its high requirements for computing and memory resources have limited further development on processing…

Quantum Physics · Physics 2021-08-05 Yanxuan Lü , Qing Gao , Jinhu Lü , Maciej Ogorzałek , Jin Zheng

Quantum Machine Learning (QML) has seen significant advancements, driven by recent improvements in Noisy Intermediate-Scale Quantum (NISQ) devices. Leveraging quantum principles such as entanglement and superposition, quantum convolutional…

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