A mathematical motivation for complex-valued convolutional networks

A mathematical motivation for complex-valued convolutional networks

11 March 2015

Joan Bruna

Soumith Chintala

Serkan Piantino

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

11 / 11 papers shown

Title
A Neural Network Warm-Start Approach for the Inverse Acoustic Obstacle Scattering Problem Mo Zhou Jiequn Han M. Rachh C. Borges AI4CE 33 11 0 16 Dec 2022
On the Shift Invariance of Max Pooling Feature Maps in Convolutional Neural Networks Hubert Leterme K. Polisano V. Perrier Alahari Karteek FAtt 43 2 0 19 Sep 2022
Qualitative neural network approximation over R and C: Elementary proofs for analytic and polynomial activation Josiah Park Stephan Wojtowytsch 26 1 0 25 Mar 2022
The universal approximation theorem for complex-valued neural networks F. Voigtlaender 31 62 0 06 Dec 2020
Complex-valued Iris Recognition Network Kien Nguyen Clinton Fookes Sridha Sridharan Arun Ross CVBM 21 24 0 23 Nov 2020
Resonant Machine Learning Based on Complex Growth Transform Dynamical Systems Oindrila Chatterjee S. Chakrabartty 27 7 0 15 Aug 2019
An overview of deep learning in medical imaging focusing on MRI A. Lundervold A. Lundervold OOD 22 1,609 0 25 Nov 2018
Quaternion Recurrent Neural Networks Titouan Parcollet Mirco Ravanelli Mohamed Morchid G. Linarès C. Trabelsi R. Mori Yoshua Bengio 13 130 0 12 Jun 2018
Deep Complex Networks C. Trabelsi O. Bilaniuk Ying Zhang Dmitriy Serdyuk Sandeep Subramanian J. F. Santos Soroush Mehri Negar Rostamzadeh Yoshua Bengio C. Pal 41 824 0 27 May 2017
Harmonic Networks: Deep Translation and Rotation Equivariance Daniel E. Worrall Stephan J. Garbin Daniyar Turmukhambetov Gabriel J. Brostow 80 700 0 14 Dec 2016
Geometric deep learning: going beyond Euclidean data M. Bronstein Joan Bruna Yann LeCun Arthur Szlam P. Vandergheynst GNN 264 3,246 0 24 Nov 2016