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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…

神经与进化计算 · 计算机科学 2018-02-23 Simone Scardapane , Steven Van Vaerenbergh , Amir Hussain , Aurelio Uncini

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…

机器学习 · 计算机科学 2023-12-12 Rayyan Abdalla

Neural networks are generally built by interleaving (adaptable) linear layers with (fixed) nonlinear activation functions. To increase their flexibility, several authors have proposed methods for adapting the activation functions…

机器学习 · 统计学 2017-11-27 Simone Scardapane , Steven Van Vaerenbergh , Simone Totaro , Aurelio Uncini

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…

神经与进化计算 · 计算机科学 2024-08-20 Kayol Soares Mayer , Jonathan Aguiar Soares , Ariadne Arrais Cruz , Dalton Soares Arantes

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…

机器学习 · 计算机科学 2015-11-20 Andy M. Sarroff , Victor Shepardson , Michael A. Casey

Artificial neural networks (ANNs), particularly those employing deep learning models, have found widespread application in fields such as computer vision, signal processing, and wireless communications, where complex numbers are crucial.…

机器学习 · 计算机科学 2024-07-30 M. M. Hammad

Complex-valued neural networks (CVNNs) have recently shown promising empirical success, for instance for increasing the stability of recurrent neural networks and for improving the performance in tasks with complex-valued inputs, such as in…

泛函分析 · 数学 2023-10-31 Paul Geuchen , Felix Voigtlaender

The design of activation functions is a growing research area in the field of neural networks. In particular, instead of using fixed point-wise functions (e.g., the rectified linear unit), several authors have proposed ways of learning…

机器学习 · 计算机科学 2019-01-30 Simone Scardapane , Elena Nieddu , Donatella Firmani , Paolo Merialdo

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…

机器学习 · 统计学 2021-02-01 Joshua Bassey , Lijun Qian , Xianfang Li

Recent deep neural network-based device classification studies show that complex-valued neural networks (CVNNs) yield higher classification accuracy than real-valued neural networks (RVNNs). Although this improvement is (intuitively)…

Deep learning models operating in the complex domain are used due to their rich representation capacity. However, most of these models are either restricted to the first quadrant of the complex plane or project the complex-valued data into…

计算机视觉与模式识别 · 计算机科学 2022-12-15 Aniruddh Sikdar , Sumanth Udupa , Suresh Sundaram

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…

Utilizing complex-valued neural networks (CVNNs) in wireless communication tasks has received growing attention for their ability to provide natural and effective representation of complex-valued signals and data. However, existing studies…

信号处理 · 电气工程与系统科学 2025-02-18 Yang Leng , Qingfeng Lin , Long-Yin Yung , Jingreng Lei , Yang Li , Yik-Chung Wu

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…

计算机视觉与模式识别 · 计算机科学 2019-03-26 Siwen Jiang , Wenxuan Wei , Shihao Guo , Hongguang Fu , Lei Huang

In this work we propose CVKAN, a complex-valued Kolmogorov-Arnold Network (KAN), to join the intrinsic interpretability of KANs and the advantages of Complex-Valued Neural Networks (CVNNs). We show how to transfer a KAN and the necessary…

机器学习 · 计算机科学 2025-12-01 Matthias Wolff , Florian Eilers , Xiaoyi Jiang

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…

Quantum kernel methods are a promising branch of quantum machine learning, yet their effectiveness on diverse, high-dimensional, real-world data remains unverified. Current research has largely been limited to low-dimensional or synthetic…

机器学习 · 计算机科学 2026-02-19 Jiang Yuhan , Matthew Otten

Convolutional Neural Networks (CNNs) have been widely applied. But as the CNNs grow, the number of arithmetic operations and memory footprint also increase. Furthermore, typical non-linear activation functions do not allow associativity of…

机器学习 · 计算机科学 2021-11-10 Eduardo Vera Sousa , Leandro A. F. Fernandes , Cristina Nader Vasconcelos

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…

机器学习 · 计算机科学 2026-05-28 Ashutosh Kumar

Accurately modeling quantum dissipative dynamics remains challenging due to environmental complexity and non-Markovian memory effects. Although machine learning provides a promising alternative to conventional simulation techniques, most…

化学物理 · 物理学 2026-03-18 Muhammad Atif , Arif Ullah , Ming Yang
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