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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

This study explores the design and application of Complex-Valued Convolutional Neural Networks (CVCNNs) in audio signal processing, with a focus on preserving and utilizing phase information often neglected in real-valued networks. We begin…

Machine Learning · Computer Science 2025-10-14 Naman Agrawal

Complex-valued neural networks (CVNNs) are rising in popularity for all kinds of applications. To safely use CVNNs in practice, analyzing their robustness against outliers is crucial. One well known technique to understand the behavior of…

Machine Learning · Computer Science 2026-02-09 Florian Eilers , Christof Duhme , Xiaoyi Jiang

In the ever-evolving field of artificial neural networks and learning systems, complex-valued neural networks (CVNNs) have become a cornerstone, achieving exceptional performance in image processing and telecommunications. More precisely,…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Jonathan A. Soares , Vinícius H. Luiz , Dalton S. Arantes , Kayol S. Mayer

This paper proposes online-learning complex-valued neural networks (CVNNs) to predict future channel states in fast-fading multipath mobile communications. CVNN is suitable for dealing with a fading communication channel as a single…

Signal Processing · Electrical Eng. & Systems 2021-05-03 Tianben Ding , Akira Hirose

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

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

We propose a complex-valued neural-network (CV-NN) framework to optimally configure stacked intelligent surfaces (SIS) in next-generation multi-antenna systems. Unlike conventional solutions that separately tune analog metasurface phases or…

Information Theory · Computer Science 2025-09-09 Abdullah Zayat , Omran Abbas , Loic Markley , Anas Chaaban

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

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…

Signal Processing · Electrical Eng. & Systems 2025-02-18 Yang Leng , Qingfeng Lin , Long-Yin Yung , Jingreng Lei , Yang Li , Yik-Chung Wu

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…

Chemical Physics · Physics 2026-03-18 Muhammad Atif , Arif Ullah , Ming Yang

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.…

Machine Learning · Computer Science 2024-07-30 M. M. Hammad

Complex-Valued Neural Networks (CVNNs) have significant advantages in handling tasks that involve complex numbers. However, existing CVNNs are unable to quantify predictive uncertainty. We propose, for the first time, dropout-based Bayesian…

Hardware Architecture · Computer Science 2026-04-23 Zehuan Zhang , Mark Chen , He Li , Wayne Luk

The increasing congestion of the radio frequency spectrum presents challenges for efficient spectrum utilization. Cognitive radio systems enable dynamic spectrum access with the aid of recent innovations in neural networks. However,…

Machine Learning · Computer Science 2025-08-25 Sangwon Shin , Mehmet C. Vuran

This research paper introduces two novel complex-valued Hopfield neural networks (CvHNNs) that incorporate phase and magnitude quantization. The first CvHNN employs a ceiling-type activation function that operates on the rectangular…

Neural and Evolutionary Computing · Computer Science 2025-07-02 Garimella Ramamurthy , Marcos Eduardo Valle , Tata Jagannadha Swamy

Complex-valued neural networks (CVNNs) have been shown to be powerful nonlinear approximators when the input data can be properly modeled in the complex domain. One of the major challenges in scaling up CVNNs in practice is the design of…

Neural and Evolutionary Computing · Computer Science 2019-02-07 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini

Autonomous driving highly depends on capable sensors to perceive the environment and to deliver reliable information to the vehicles' control systems. To increase its robustness, a diversified set of sensors is used, including radar…

Signal Processing · Electrical Eng. & Systems 2021-05-04 Alexander Fuchs , Johanna Rock , Mate Toth , Paul Meissner , Franz Pernkopf

Quantum convolutional neural networks (QCNNs) are quantum circuits for characterizing complex quantum states. They have been proposed for recognizing quantum phases of matter at low sampling cost and have been designed for condensed matter…

Quantum Physics · Physics 2025-11-11 Leon C. Sander , Nathan A. McMahon , Petr Zapletal , Michael J. Hartmann

Achieving both high precision and large dynamic range remains a central challenge in quantum metrology, as improving local sensitivity typically reduces the unambiguous estimation range. Variational quantum interferometers enhance precision…

Quantum Physics · Physics 2026-05-26 Qingchuan Yang , Xianing Feng , Lianfu Wei
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