A mathematical motivation for complex-valued convolutional networks

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A mathematical motivation for complex-valued convolutional networks

11 March 2015

Joan Bruna

Soumith Chintala

Serkan Piantino

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Papers citing "A mathematical motivation for complex-valued convolutional networks"

17 / 17 papers shown

Title
Sum of Squares Circuits Lorenzo Loconte Stefan Mengel Antonio Vergari TPM 143 9 0 21 Aug 2024
A Neural Network Warm-Start Approach for the Inverse Acoustic Obstacle Scattering Problem Mo Zhou Jiequn Han M. Rachh C. Borges AI4CE 73 13 0 16 Dec 2022
From CNNs to Shift-Invariant Twin Models Based on Complex Wavelets Hubert Leterme K. Polisano V. Perrier Alahari Karteek 90 1 0 01 Dec 2022
On the Shift Invariance of Max Pooling Feature Maps in Convolutional Neural Networks Hubert Leterme K. Polisano V. Perrier Alahari Karteek FAtt 143 2 0 19 Sep 2022
The universal approximation theorem for complex-valued neural networks F. Voigtlaender 75 62 0 06 Dec 2020
Why Convolutional Networks Learn Oriented Bandpass Filters: Theory and Empirical Support Isma Hadji Richard P. Wildes 16 2 0 30 Nov 2020
Complex-valued Iris Recognition Network Kien Nguyen Clinton Fookes Sridha Sridharan Arun Ross CVBM 51 25 0 23 Nov 2020
Implementation of Optical Deep Neural Networks using the Fabry-Perot Interferometer Benjamin D. Steel 46 0 0 22 Nov 2019
Resonant Machine Learning Based on Complex Growth Transform Dynamical Systems Oindrila Chatterjee S. Chakrabartty 42 7 0 15 Aug 2019
An overview of deep learning in medical imaging focusing on MRI A. Lundervold A. Lundervold OOD 112 1,641 0 25 Nov 2018
Speech recognition with quaternion neural networks Titouan Parcollet Mirco Ravanelli Mohamed Morchid G. Linarès R. Mori 23 14 0 21 Nov 2018
Quaternion Recurrent Neural Networks Titouan Parcollet Mirco Ravanelli Mohamed Morchid G. Linarès C. Trabelsi R. Mori Yoshua Bengio 56 132 0 12 Jun 2018
Dynamic Steerable Blocks in Deep Residual Networks J. Jacobsen Bert de Brabandere A. Smeulders 85 28 0 02 Jun 2017
Deep Complex Networks C. Trabelsi O. Bilaniuk Ying Zhang Dmitriy Serdyuk Sandeep Subramanian J. F. Santos Soroush Mehri Negar Rostamzadeh Yoshua Bengio C. Pal 241 837 0 27 May 2017
Harmonic Networks: Deep Translation and Rotation Equivariance Daniel E. Worrall Stephan J. Garbin Daniyar Turmukhambetov Gabriel J. Brostow 134 711 0 14 Dec 2016
Statistics of Visual Responses to Object Stimuli from Primate AIT Neurons to DNN Neurons Qiulei Dong Zhanyi Hu 41 11 0 12 Dec 2016
Geometric deep learning: going beyond Euclidean data M. Bronstein Joan Bruna Yann LeCun Arthur Szlam P. Vandergheynst GNN 823 3,301 0 24 Nov 2016