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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

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 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

Applications of neural networks to condensed matter physics are becoming popular and beginning to be well accepted. Obtaining and representing the ground and excited state wave functions are examples of such applications. Another…

无序系统与神经网络 · 物理学 2019-12-30 Tomi Ohtsuki , Tomohiro Mano

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

Although classifying topological quantum phases have attracted great interests, the absence of local order parameter generically makes it challenging to detect a topological phase transition from experimental data. Recent advances in…

量子气体 · 物理学 2022-10-12 Entong Zhao , Ting Hin Mak , Chengdong He , Zejian Ren , Ka Kwan Pak , Yu-Jun Liu , Gyu-Boong Jo

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

Compared with traditional seismic noise attenuation algorithms that depend on signal models and their corresponding prior assumptions, removing noise with a deep neural network is trained based on a large training set, where the inputs are…

地球物理 · 物理学 2019-07-23 Siwei Yu , Jianwei Ma , Wenlong Wang

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

Quantum machine learning (QML) shows promise for analyzing quantum data. A notable example is the use of quantum convolutional neural networks (QCNNs), implemented as specific types of quantum circuits, to recognize phases of matter. In…

量子物理 · 物理学 2025-01-07 Chukwudubem Umeano , Annie E. Paine , Vincent E. Elfving , Oleksandr Kyriienko

Deep convolutional classifiers linearly separate image classes and improve accuracy as depth increases. They progressively reduce the spatial dimension whereas the number of channels grows with depth. Spatial variability is therefore…

机器学习 · 计算机科学 2022-03-22 Florentin Guth , John Zarka , Stéphane Mallat

Deep learning and convolutional neural networks in particular are powerful and promising tools for cosmological analysis of large-scale structure surveys. They are already providing similar performance to classical analysis methods using…

宇宙学与河外天体物理 · 物理学 2026-05-06 Gaspard Aymerich , Tomasz Kacprzak , Alexandre Refregier

Feature-learning deep nets progressively collapse data to a regular low-dimensional geometry. How this emerges from the collective action of nonlinearity, noise, learning rate, and other factors, has eluded first-principles theories built…

无序系统与神经网络 · 物理学 2025-06-30 Cheng Shi , Liming Pan , Ivan Dokmanić

We present an analysis of neural network-based machine learning schemes for phases and phase transitions in theoretical condensed matter research, focusing on neural networks with a single hidden layer. Such shallow neural networks were…

统计力学 · 物理学 2018-06-06 Philippe Suchsland , Stefan Wessel

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…

计算机视觉与模式识别 · 计算机科学 2023-03-06 Soumick Chatterjee , Pavan Tummala , Oliver Speck , Andreas Nürnberger

The effective representation, precessing, analysis, and visualization of large-scale structured data over graphs are gaining a lot of attention. So far most of the literature has focused on real-valued signals. However, signals are often…

机器学习 · 计算机科学 2024-10-28 Tong Wu , Anna Scaglione , Daniel Arnold

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

Convolutional neural networks (CNNs) have rapidly risen in popularity for many machine learning applications, particularly in the field of image recognition. Much of the benefit generated from these networks comes from their ability to…

量子物理 · 物理学 2019-04-10 Maxwell Henderson , Samriddhi Shakya , Shashindra Pradhan , Tristan Cook

Convolutional neural networks (CNN) are widely used in computer vision, especially in image classification. However, the way in which information and invariance properties are encoded through in deep CNN architectures is still an open…

计算机视觉与模式识别 · 计算机科学 2016-10-26 Michael Blot , Matthieu Cord , Nicolas Thome

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…

计算机视觉与模式识别 · 计算机科学 2019-03-07 Jiasong Wu , Hongshan Ren , Youyong Kong , Chunfeng Yang , Lotfi Senhadji , Huazhong Shu
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