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Related papers: Theory and Implementation of Complex-Valued Neural…

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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)…

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

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

With the proliferation of deep convolutional neural network (CNN) algorithms for mobile processing, limited precision quantization has become an essential tool for CNN efficiency. Consequently, various works have sought to design fixed…

Machine Learning · Computer Science 2020-12-01 Stone Yun , Alexander Wong

Graph Neural Networks (GNNs) have achieved remarkable success across diverse applications, yet they remain limited by oversmoothing and poor performance on heterophilic graphs. To address these challenges, we introduce a novel framework…

Machine Learning · Computer Science 2025-11-19 Cristina López Amado , Tassilo Schwarz , Yu Tian , Renaud Lambiotte

Binarized neural networks, or BNNs, show great promise in edge-side applications with resource limited hardware, but raise the concerns of reduced accuracy. Motivated by the complex neural networks, in this paper we introduce complex…

Neural and Evolutionary Computing · Computer Science 2021-04-21 Yanfei Li , Tong Geng , Ang Li , Huimin Yu

Deep Neural Networks are, from a physical perspective, graphs whose `links` and `vertices` iteratively process data and solve tasks sub-optimally. We use Complex Network Theory (CNT) to represents Deep Neural Networks (DNNs) as directed…

Machine Learning · Computer Science 2022-09-14 Emanuele La Malfa , Gabriele La Malfa , Claudio Caprioli , Giuseppe Nicosia , Vito Latora

A complex-valued convolutional network (convnet) implements the repeated application of the following composition of three operations, recursively applying the composition to an input vector of nonnegative real numbers: (1) convolution with…

Machine Learning · Computer Science 2016-05-04 Joan Bruna , Soumith Chintala , Yann LeCun , Serkan Piantino , Arthur Szlam , Mark Tygert

Deep Neural Networks (DNNs) can be represented as graphs whose links and vertices iteratively process data and solve tasks sub-optimally. Complex Network Theory (CNT), merging statistical physics with graph theory, provides a method for…

Machine Learning · Computer Science 2024-04-19 Emanuele La Malfa , Gabriele La Malfa , Giuseppe Nicosia , Vito Latora

Until recently, applications of neural networks in machine learning have almost exclusively relied on real-valued networks. It was recently observed, however, that complex-valued neural networks (CVNNs) exhibit superior performance in…

Functional Analysis · Mathematics 2021-12-06 A. Caragea , D. G. Lee , J. Maly , G. Pfander , F. Voigtlaender

We propose a \emph{hybrid} real- and complex-valued \emph{neural network} (HNN) architecture, designed to combine the computational efficiency of real-valued processing with the ability to effectively handle complex-valued data. We…

Machine Learning · Computer Science 2025-04-07 Alex Young , Luan Vinícius Fiorio , Bo Yang , Boris Karanov , Wim van Houtum , Ronald M. Aarts

We study a complex-valued neural network (cv-NN) with linear, time-delayed interactions. We report the cv-NN displays sophisticated spatiotemporal dynamics, including partially synchronized ``chimera'' states. We then use these…

Although convolutional neural network (CNN) has made great progress, large redundant parameters restrict its deployment on embedded devices, especially mobile devices. The recent compression works are focused on real-value convolutional…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Jiasong Wu , Hongshan Ren , Youyong Kong , Chunfeng Yang , Lotfi Senhadji , Huazhong Shu

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) 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

Existing techniques to encode spatial invariance within deep convolutional neural networks (CNNs) apply the same warping field to all the feature channels. This does not account for the fact that the individual feature channels can…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Seungryong Kim , Sabine Süsstrunk , Mathieu Salzmann

Complex-valued neural networks have emerged boasting superior modeling performance for many tasks across the signal processing, sensing, and communications arenas. However, developing complex-valued models currently demands development of…

Signal Processing · Electrical Eng. & Systems 2023-09-18 Josiah W. Smith

Classifying large scale networks into several categories and distinguishing them according to their fine structures is of great importance with several applications in real life. However, most studies of complex networks focus on properties…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Ruyue Xin , Jiang Zhang , Yitong Shao

Quantum-inspired neural network is one of the interesting researches at the junction of the two fields of quantum computing and deep learning. Several models of quantum-inspired neurons with real parameters have been proposed, which are…

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…

Computer Vision and Pattern Recognition · Computer Science 2022-12-15 Aniruddh Sikdar , Sumanth Udupa , Suresh Sundaram