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We find a heterogeneity in both complex and real valued neural networks with the insight from wave optics, claiming a much more important role of phase than its amplitude counterpart in the weight matrix.
How i discovered phase contrast
F. Zernike · 1955
Earlier work this paper cites.
Phase microscopy 1954-56
Oscar W. Richards · 1956
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Optimal brain damage
Yann LeCun, John Denker, and Sara Solla · 1989
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A fast learning complex-valued neural classifier for real-valued classification problems
R. Savitha, S. Suresh, and N. Sundararajan · 2011
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The mnist database of handwritten digit images for machine learning research
Li Deng · 2012
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Learning both weights and connections for efficient neural network
Song Han, Jeff Pool, John Tran, and William Dally · 2015
Cited alongside, same era.
Pruning filters for efficient convnets
Hao Li, Asim Kadav, Igor Durdanovic, Hanan Samet, and Hans Peter Graf · 2016
Cited alongside, same era.
Complex-valued convolutional neural networks for real-valued image classification
C. Popa · 2017
Cited alongside, same era.
Split-complex convolutional neural networks
Timothy Anderson · 2017
Cited alongside, same era.
Complex-valued neural networks with nonparametric activation functions
Simone Scardapane, Steven Van Vaerenbergh, Amir Hussain, and Aurelio Uncini · 2018
Cited alongside, same era.
Deep complex networks
Chiheb Trabelsi, Olexa Bilaniuk, Ying Zhang, Dmitriy Serdyuk, Sandeep Subramanian, João Santos, Soroush Mehri, Negar Rostamzadeh, Y. Bengio, and Christopher Pal · 2018
Later among the works it cites.
Evaluation of complex-valued neural networks on real-valued classification tasks
Nils Mönning and Suresh Manandhar · 2018
Later among the works it cites.
Wave physics as an analog recurrent neural network
Tyler Hughes, Ian Williamson, Momchil Minkov, and Shanhui Fan · 2019
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Wavefront sensing and control in space-based coronagraph instruments using Zernike’s phase-contrast method
Garreth J. Ruane, James Kent Wallace, John B. Steeves, Camilo Mejia Prada, Byoung-Joon Seo, Eduardo A. Bendek, Carl T. Coker, Pin Chen, Brendan P. Crill, Jeff B. Jewell, Brian D. Kern, David S. Marx, Phillip K. Poon, David C. Redding, A.J. Eldorado Riggs, Nicholas Siegler, and Robert P. Zimmer · 2020
Later among the works it cites.
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