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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.
’multiple-valued threshold logic’ translated by claudio moraga
Igor Aizenberg · 1977
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Generalization of neural networks to the complex plane
Thomas L. Clarke · 1990
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Cnn based on multi-valued neuron as a model of associative memory for grey scale images
Naum N. Aizenberg and Igor N. Aizenberg · 1992
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On the complex backpropagation algorithm
N. Benvenuto and F. Piazza · 1992
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Complex domain backpropagation
G. M. Georgiou and C. Koutsougeras · 1992
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A back-propagation algorithm for complex numbered neural networks
T. Nitta · 1993
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Gradient-based learning applied to document recognition
Y. Lecun, L. Bottou, Y. Bengio, and P. Haffner · 1998
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Complex-bilinear recurrent neural network for equalization of a digital satellite channel
Dong-Chul Park and Tae-Kyun Jung Jeong · 2002
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Adaptive noise reduction of insar images based on a complex-valued mrf model and its application t o phase unwrapping problem
A. B. Suksmono and A. Hirose · 2002
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Complex-Valued Neural Networks: Theories and Applications (Series on Innovative Intelligence, 5)
Akira Hirose · 2004
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Complex-valued forecasting of wind profile
S.L. Goh, M. Chen, D.H. Popović, K. Aihara, D. Obradovic, and D.P. Mandic · 2005
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Multilayer feedforward neural network based on multi-valued neurons (mlmvn) and a backpropagation learning algorithm
Igor Aizenberg and Claudio Moraga · 2007
Cited alongside, same era.
A new approach to detection of ecg arrhythmias: Complex discrete wavelet transform based complex valued artificial neural network
Yüksel Özbay · 2008
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Complex-valued neural networks: The merits and their origins
A. Hirose · 2009
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Learning multiple layers of features from tiny images
Alex Krizhevsky · 2009
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Understanding the difficulty of training deep feedforward neural networks
Xavier Glorot and Yoshua Bengio · 2010
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Complex-valued convolutional neural networks for object detection in polsar data
Learning representations using complex-valued nets
Andy M. Sarroff, Victor Shepardson, and Michael A. Casey · 2015
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Complex-Valued Neural Networks with Multi-Valued Neurons
Igor Aizenberg · 2016
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On the appropriateness of complex-valued neural networks for speech enhancement
Lukas Drude, Bhiksha Raj, and Reinhold Häb-Umbach · 2016
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On complex valued convolutional neural networks
Nitzan Guberman · 2016
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Complex embeddings for simple link prediction
Théo Trouillon, Johannes Welbl, Sebastian Riedel, Éric Gaussier, and Guillaume Bouchard · 2016
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R. Haensch and O. Hellwich · 2010
Cited alongside, same era.
Comparison of the complex valued and real valued neural networks trained with gradient descent and random search algorithms
Hans-Georg Zimmermann, Alexey Minin, and Victoria Kusherbaeva · 2011
Cited alongside, same era.
Learning dynamics of the complex-valued neural network in the neighborhood of singular points
Tohru Nitta · 2014
Cited alongside, same era.
Unitary evolution recurrent neural networks
Martín Arjovsky, Amar Shah, and Yoshua Bengio · 2015
Cited alongside, same era.
A theoretical argument for complex-valued convolutional networks
Joan Bruna, Soumith Chintala, Yann LeCun, Serkan Piantino, Arthur Szlam, and Mark Tygert · 2015
Cited alongside, same era.
Scott Wisdom, Thomas Powers, John Hershey, Jonathan Le Roux, and Les Atlas · 2016
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Complex-valued convolutional neural networks for real-valued image classification
C. A. Popa · 2017
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Deep complex networks
Chiheb Trabelsi, Sandeep Subramanian, Negar Rostamzadeh, Soroush Mehri, Dmitriy Serdyuk, João Felipe Santos, Yoshua Bengio, and Christopher Pal · 2017
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Knowledge graph completion via complex tensor factorization
Théo Trouillon, Christopher R. Dance, Johannes Welbl, Sebastian Riedel, Éric Gaussier, and Guillaume Bouchard · 2017
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Complex-valued convolutional neural network and its application in polarimetric sar image classification
Z. Zhang, H. Wang, F. Xu, and Y. Q. Jin · 2017
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