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Neural networks, especially convolutional neural networks (CNN), are one of the most common tools these days used in computer vision. Most of these networks work with real-valued data using real-valued features. Complex-valued convolutional…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Soumick Chatterjee , Pavan Tummala , Oliver Speck , Andreas Nürnberger

The contributions of this paper are twofold. First, we show the potential interest of Complex-Valued Neural Network (CVNN) on classification tasks for complex-valued datasets. To highlight this assertion, we investigate an example of…

Artificial neural networks (ANNs) based machine learning models and especially deep learning models have been widely applied in computer vision, signal processing, wireless communications, and many other domains, where complex numbers occur…

Machine Learning · Statistics 2021-02-01 Joshua Bassey , Lijun Qian , Xianfang Li

At present, the vast majority of building blocks, techniques, and architectures for deep learning are based on real-valued operations and representations. However, recent work on recurrent neural networks and older fundamental theoretical…

Complex-valued neural networks (CVNNs) are nonlinear filters used in the digital signal processing of complex-domain data. Compared with real-valued neural networks~(RVNNs), CVNNs can directly handle complex-valued input and output signals…

Neural and Evolutionary Computing · Computer Science 2024-08-20 Kayol Soares Mayer , Jonathan Aguiar Soares , Ariadne Arrais Cruz , Dalton Soares Arantes

Convolutional neural networks (CNNs) are the cutting edge model for supervised machine learning in computer vision. In recent years CNNs have outperformed traditional approaches in many computer vision tasks such as object detection, image…

Neural and Evolutionary Computing · Computer Science 2016-03-01 Nitzan Guberman

At present, the great achievements of convolutional neural network(CNN) in feature and metric learning have attracted many researchers. However, the vast majority of deep network architectures have been used to represent based on real…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Siwen Jiang , Wenxuan Wei , Shihao Guo , Hongguang Fu , Lei Huang

This work explains in detail the theory behind Complex-Valued Neural Network (CVNN), including Wirtinger calculus, complex backpropagation, and basic modules such as complex layers, complex activation functions, or complex weight…

Complex-valued Neural Networks (CVNNs) are often motivated by domains where information is naturally encoded in magnitude and phase. Yet complex-valued inputs alone do not determine when complex arithmetic improves learning: the label…

Machine Learning · Computer Science 2026-05-28 Ashutosh Kumar

Despite the many successful applications of deep learning models for multidimensional signal and image processing, most traditional neural networks process data represented by (multidimensional) arrays of real numbers. The intercorrelation…

Machine Learning · Computer Science 2024-08-02 Marcos Eduardo Valle

In this paper, we propose hybrid real- and complex-valued neural networks for speech enhancement. Real- or complex-valued models are either inefficient or present high complexity. We devise a straightforward design method for extending a…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-26 Luan Vinícius Fiorio , Alex Young , Ronald M. Aarts

The task of MRI fingerprinting is to identify tissue parameters from complex-valued MRI signals. The prevalent approach is dictionary based, where a test MRI signal is compared to stored MRI signals with known tissue parameters and the most…

Computer Vision and Pattern Recognition · Computer Science 2017-07-04 Patrick Virtue , Stella X. Yu , Michael Lustig

Many real-world signal sources are complex-valued, having real and imaginary components. However, the vast majority of existing deep learning platforms and network architectures do not support the use of complex-valued data. MRI data is…

Image and Video Processing · Electrical Eng. & Systems 2020-09-02 Elizabeth K. Cole , Joseph Y. Cheng , John M. Pauly , Shreyas S. Vasanawala

Complex-valued neural networks (CVNNs) are an emerging field of research in neural networks due to their potential representational properties for audio, image, and physiological signals. It is common in signal processing to transform…

Machine Learning · Computer Science 2015-11-20 Andy M. Sarroff , Victor Shepardson , Michael A. Casey

Complex-valued neural networks (CVNNs) have recently been successful in various pioneering areas which involve wave-typed information and frequency-domain processing. This work addresses different structures and classification of CVNNs. The…

Machine Learning · Computer Science 2023-12-12 Rayyan Abdalla

Despite multiple efforts made towards adopting complex-valued deep neural networks (DNNs), it remains an open question whether complex-valued DNNs are generally more effective than real-valued DNNs for monaural speech enhancement. This work…

Sound · Computer Science 2023-01-12 Haibin Wu , Ke Tan , Buye Xu , Anurag Kumar , Daniel Wong

The paper discusses the capabilities of multilayer perceptron neural networks implementing metric recognition methods, for which the values of the weights are calculated analytically by formulas. Comparative experiments in training a neural…

Machine Learning · Computer Science 2025-06-02 Polad Geidarov

Complex-valued neural networks (CVNNs) are a powerful modeling tool for domains where data can be naturally interpreted in terms of complex numbers. However, several analytical properties of the complex domain (e.g., holomorphicity) make…

Neural and Evolutionary Computing · Computer Science 2018-02-23 Simone Scardapane , Steven Van Vaerenbergh , Amir Hussain , Aurelio Uncini

Complex networks are ubiquitous to several Computer Science domains. Centrality measures are an important analysis mechanism to uncover vital elements of complex networks. However, these metrics have high computational costs and…

Machine Learning · Computer Science 2018-10-30 Felipe Grando , Lisando Z. Granville , Luis C. Lamb

Deep neural networks are the state-of-the-art methods for many real-world tasks, such as computer vision, natural language processing and speech recognition. For all its popularity, deep neural networks are also criticized for consuming a…

Machine Learning · Computer Science 2018-12-18 Yunhui Guo
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