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A mathematical motivation for complex-valued convolutional networks
v1v2v3 (latest)

A mathematical motivation for complex-valued convolutional networks

11 March 2015
Joan Bruna
Soumith Chintala
Yann LeCun
Serkan Piantino
Arthur Szlam
M. Tygert
ArXiv (abs)PDFHTML

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

28 / 28 papers shown
Epidemic Forecasting with a Hybrid Deep Learning Method Using CNN-LSTM With WOA-GWO Parameter Optimization: Global COVID-19 Case Study
Epidemic Forecasting with a Hybrid Deep Learning Method Using CNN-LSTM With WOA-GWO Parameter Optimization: Global COVID-19 Case Study
Mousa Alizadeh
Mohammad Hossein Samaei
Azam Seilsepour
Mohammad TH Beheshti
Mohammad TH Beheshti
352
6
0
17 Mar 2025
Scaling Continuous Kernels with Sparse Fourier Domain Learning
Scaling Continuous Kernels with Sparse Fourier Domain Learning
Clayton A. Harper
Luke Wood
Peter Gerstoft
Eric C. Larson
199
0
0
15 Sep 2024
Sum of Squares Circuits
Sum of Squares CircuitsAAAI Conference on Artificial Intelligence (AAAI), 2024
Lorenzo Loconte
Stefan Mengel
Antonio Vergari
TPM
719
18
0
21 Aug 2024
CoNO: Complex Neural Operator for Continous Dynamical Physical Systems
CoNO: Complex Neural Operator for Continous Dynamical Physical Systems
Karn Tiwari
N. M. A. Krishnan
P. PrathoshA
375
5
0
01 Jun 2024
Deep Learning-based MRI Reconstruction with Artificial Fourier Transform Network (AFTNet)
Deep Learning-based MRI Reconstruction with Artificial Fourier Transform Network (AFTNet)
Yanting Yang
Jeffery Siyuan Tian
Matthieu Dagommer
Jia Guo
Matthieu Dagommer
Jia Guo
MedIm
295
0
0
18 Dec 2023
A Neural Network Warm-Start Approach for the Inverse Acoustic Obstacle
  Scattering Problem
A Neural Network Warm-Start Approach for the Inverse Acoustic Obstacle Scattering Problem
Mo Zhou
Jiequn Han
M. Rachh
C. Borges
AI4CE
375
23
0
16 Dec 2022
From CNNs to Shift-Invariant Twin Models Based on Complex Wavelets
From CNNs to Shift-Invariant Twin Models Based on Complex WaveletsEuropean Signal Processing Conference (EUSIPCO), 2022
Hubert Leterme
K. Polisano
V. Perrier
Alahari Karteek
352
1
0
01 Dec 2022
Deep Learning for Iris Recognition: A Survey
Deep Learning for Iris Recognition: A SurveyACM Computing Surveys (ACM CSUR), 2022
Kien X. Nguyen
Hugo Proencca
F. Alonso-Fernandez
VLM3DV
298
125
0
12 Oct 2022
On the Shift Invariance of Max Pooling Feature Maps in Convolutional Neural Networks
On the Shift Invariance of Max Pooling Feature Maps in Convolutional Neural Networks
Hubert Leterme
K. Polisano
V. Perrier
Alahari Karteek
FAtt
559
2
0
19 Sep 2022
Adversarial Audio Synthesis with Complex-valued Polynomial Networks
Adversarial Audio Synthesis with Complex-valued Polynomial Networks
Yongtao Wu
Grigorios G. Chrysos
Volkan Cevher
DiffM
433
4
0
14 Jun 2022
Qualitative neural network approximation over R and C: Elementary proofs
  for analytic and polynomial activation
Qualitative neural network approximation over R and C: Elementary proofs for analytic and polynomial activation
Josiah Park
Stephan Wojtowytsch
263
3
0
25 Mar 2022
Phase Collapse in Neural Networks
Phase Collapse in Neural NetworksInternational Conference on Learning Representations (ICLR), 2021
Florentin Guth
J. Zarka
S. Mallat
215
8
0
11 Oct 2021
Towards Understanding Theoretical Advantages of Complex-Reaction
  Networks
Towards Understanding Theoretical Advantages of Complex-Reaction Networks
Shao-Qun Zhang
Gaoxin Wei
Zhi Zhou
271
20
0
15 Aug 2021
The universal approximation theorem for complex-valued neural networks
The universal approximation theorem for complex-valued neural networksApplied and Computational Harmonic Analysis (ACHA), 2020
F. Voigtlaender
415
75
0
06 Dec 2020
Why Convolutional Networks Learn Oriented Bandpass Filters: Theory and
  Empirical Support
Why Convolutional Networks Learn Oriented Bandpass Filters: Theory and Empirical Support
Isma Hadji
Richard P. Wildes
138
2
0
30 Nov 2020
Complex-valued Iris Recognition Network
Complex-valued Iris Recognition NetworkIEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2020
Kien Nguyen
Clinton Fookes
Sridha Sridharan
Arun Ross
CVBM
513
40
0
23 Nov 2020
On Frink's type metrization of weighted graphs
On Frink's type metrization of weighted graphsAsian Research Journal of Mathematics (JRM), 2020
M. F. Acosta
H. Aimar
I. Gómez
55
1
0
02 Aug 2020
Embed Me If You Can: A Geometric Perceptron
Embed Me If You Can: A Geometric PerceptronIEEE International Conference on Computer Vision (ICCV), 2020
Pavlo Melnyk
Michael Felsberg
Mårten Wadenbäck
3DPC
212
15
0
11 Jun 2020
Implementation of Optical Deep Neural Networks using the Fabry-Perot
  Interferometer
Implementation of Optical Deep Neural Networks using the Fabry-Perot Interferometer
Benjamin D. Steel
341
1
0
22 Nov 2019
Resonant Machine Learning Based on Complex Growth Transform Dynamical
  Systems
Resonant Machine Learning Based on Complex Growth Transform Dynamical SystemsIEEE Transactions on Neural Networks and Learning Systems (TNNLS), 2019
Oindrila Chatterjee
S. Chakrabartty
279
7
0
15 Aug 2019
An overview of deep learning in medical imaging focusing on MRI
An overview of deep learning in medical imaging focusing on MRIZeitschrift für Medizinische Physik (Z Med Phys), 2018
A. Lundervold
A. Lundervold
OOD
507
1,869
0
25 Nov 2018
Speech recognition with quaternion neural networks
Speech recognition with quaternion neural networks
Titouan Parcollet
Mirco Ravanelli
Mohamed Morchid
G. Linarès
R. Mori
171
15
0
21 Nov 2018
Quaternion Recurrent Neural Networks
Quaternion Recurrent Neural Networks
Titouan Parcollet
Mirco Ravanelli
Mohamed Morchid
G. Linarès
C. Trabelsi
R. Mori
Yoshua Bengio
229
147
0
12 Jun 2018
Dynamic Steerable Blocks in Deep Residual Networks
Dynamic Steerable Blocks in Deep Residual NetworksBritish Machine Vision Conference (BMVC), 2017
J. Jacobsen
Bert de Brabandere
A. Smeulders
227
28
0
02 Jun 2017
Deep Complex Networks
Deep Complex Networks
C. Trabelsi
O. Bilaniuk
Ying Zhang
Dmitriy Serdyuk
Sandeep Subramanian
J. F. Santos
Soroush Mehri
Negar Rostamzadeh
Yoshua Bengio
C. Pal
839
979
0
27 May 2017
Harmonic Networks: Deep Translation and Rotation Equivariance
Harmonic Networks: Deep Translation and Rotation Equivariance
Daniel E. Worrall
Stephan J. Garbin
Daniyar Turmukhambetov
Gabriel J. Brostow
624
765
0
14 Dec 2016
Statistics of Visual Responses to Object Stimuli from Primate AIT
  Neurons to DNN Neurons
Statistics of Visual Responses to Object Stimuli from Primate AIT Neurons to DNN Neurons
Qiulei Dong
Zhanyi Hu
218
11
0
12 Dec 2016
Geometric deep learning: going beyond Euclidean data
Geometric deep learning: going beyond Euclidean data
M. Bronstein
Joan Bruna
Yann LeCun
Arthur Szlam
P. Vandergheynst
GNN
2.3K
3,742
0
24 Nov 2016
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