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Most deep learning pipelines are built on real-valued operations to deal with real-valued inputs such as images, speech or music signals. However, a lot of applications naturally make use of complex-valued signals or images, such as MRI or…

机器学习 · 计算机科学 2023-06-19 Florian Eilers , Xiaoyi Jiang

Complex-valued neural networks are not a new concept, however, the use of real-valued models has often been favoured over complex-valued models due to difficulties in training and performance. When comparing real-valued versus…

机器学习 · 计算机科学 2018-11-30 Nils Mönning , Suresh Manandhar

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…

声音 · 计算机科学 2023-01-12 Haibin Wu , Ke Tan , Buye Xu , Anurag Kumar , Daniel Wong

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

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…

图像与视频处理 · 电气工程与系统科学 2020-09-02 Elizabeth K. Cole , Joseph Y. Cheng , John M. Pauly , Shreyas S. Vasanawala

Deep learning has become an area of interest in most scientific areas, including physical sciences. Modern networks apply real-valued transformations on the data. Particularly, convolutions in convolutional neural networks discard phase…

机器学习 · 计算机科学 2020-11-17 Jesper Sören Dramsch , Mikael Lüthje , Anders Nymark Christensen

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

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

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…

音频与语音处理 · 电气工程与系统科学 2025-09-26 Luan Vinícius Fiorio , Alex Young , Ronald M. Aarts

Modern deep learning has enabled unprecedented achievements in various domains. Nonetheless, employment of machine learning for wave function representations is focused on more traditional architectures such as restricted Boltzmann machines…

量子物理 · 物理学 2019-02-20 Yoav Levine , Or Sharir , Nadav Cohen , Amnon Shashua

Deep neural networks have been the driving force behind the success in classification tasks, e.g., object and audio recognition. Impressive results and generalization have been achieved by a variety of recently proposed architectures, the…

计算机视觉与模式识别 · 计算机科学 2022-08-12 Grigorios G Chrysos , Markos Georgopoulos , Jiankang Deng , Jean Kossaifi , Yannis Panagakis , Anima Anandkumar

Undersampling the k-space data is widely adopted for acceleration of Magnetic Resonance Imaging (MRI). Current deep learning based approaches for supervised learning of MRI image reconstruction employ real-valued operations and…

计算机视觉与模式识别 · 计算机科学 2018-07-11 Muneer Ahmad Dedmari , Sailesh Conjeti , Santiago Estrada , Phillip Ehses , Tony Stöcker , Martin Reuter

Current Deep Learning approaches have been very successful using convolutional neural networks (CNN) trained on large graphical processing units (GPU)-based computers. Three limitations of this approach are: 1) they are based on a simple…

Transceivers used for telecommunications transmit and receive specific modulation patterns that are represented as sequences of complex numbers. Classifying modulation patterns is challenging because noise and channel impairments affect the…

机器学习 · 计算机科学 2020-10-30 Jakob Krzyston , Rajib Bhattacharjea , Andrew Stark

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

Deep Neural Networks are widely used in academy as well as corporate and public applications, including safety critical applications such as health care and autonomous driving. The ability to explain their output is critical for safety…

机器学习 · 计算机科学 2024-03-14 Florian Eilers , Xiaoyi Jiang

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…

机器学习 · 计算机科学 2025-10-14 Naman Agrawal

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…

机器学习 · 计算机科学 2025-04-07 Alex Young , Luan Vinícius Fiorio , Bo Yang , Boris Karanov , Wim van Houtum , Ronald M. Aarts

While deep learning has received a surge of interest in a variety of fields in recent years, major deep learning models barely use complex numbers. However, speech, signal and audio data are naturally complex-valued after Fourier Transform,…

机器学习 · 计算机科学 2021-08-10 Muqiao Yang , Martin Q. Ma , Dongyu Li , Yao-Hung Hubert Tsai , Ruslan Salakhutdinov

Speech enhancement has benefited from the success of deep learning in terms of intelligibility and perceptual quality. Conventional time-frequency (TF) domain methods focus on predicting TF-masks or speech spectrum, via a naive convolution…

音频与语音处理 · 电气工程与系统科学 2020-09-24 Yanxin Hu , Yun Liu , Shubo Lv , Mengtao Xing , Shimin Zhang , Yihui Fu , Jian Wu , Bihong Zhang , Lei Xie
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