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A Mathematical Theory of Deep Convolutional Neural Networks for Feature
  Extraction

A Mathematical Theory of Deep Convolutional Neural Networks for Feature Extraction

19 December 2015
Thomas Wiatowski
Helmut Bölcskei
    FAtt
ArXivPDFHTML

Papers citing "A Mathematical Theory of Deep Convolutional Neural Networks for Feature Extraction"

30 / 30 papers shown
Title
Anomaly detection in non-stationary videos using time-recursive differencing network based prediction
Gargi V. Pillai
Debashis Sen
AI4TS
62
3
0
04 Mar 2025
Digital implementations of deep feature extractors are intrinsically informative
Digital implementations of deep feature extractors are intrinsically informative
Max Getter
60
0
0
20 Feb 2025
Computational Modeling of Deep Multiresolution-Fractal Texture and Its
  Application to Abnormal Brain Tissue Segmentation
Computational Modeling of Deep Multiresolution-Fractal Texture and Its Application to Abnormal Brain Tissue Segmentation
A. Temtam
Linmin Pei
Khan M. Iftekharuddin
18
0
0
07 Jun 2023
Identifiability of latent-variable and structural-equation models: from
  linear to nonlinear
Identifiability of latent-variable and structural-equation models: from linear to nonlinear
Aapo Hyvarinen
Ilyes Khemakhem
R. Monti
CML
30
41
0
06 Feb 2023
Graph Scattering beyond Wavelet Shackles
Graph Scattering beyond Wavelet Shackles
Christian Koke
Gitta Kutyniok
18
4
0
26 Jan 2023
Modulation spectral features for speech emotion recognition using deep
  neural networks
Modulation spectral features for speech emotion recognition using deep neural networks
Premjeet Singh
Md. Sahidullah
G. Saha
27
44
0
14 Jan 2023
Graphon Pooling for Reducing Dimensionality of Signals and Convolutional
  Operators on Graphs
Graphon Pooling for Reducing Dimensionality of Signals and Convolutional Operators on Graphs
Alejandro Parada-Mayorga
Zhiyang Wang
Alejandro Ribeiro
28
9
0
15 Dec 2022
Using Supervised Deep-Learning to Model Edge-FBG Shape Sensors
Using Supervised Deep-Learning to Model Edge-FBG Shape Sensors
Samaneh Manavi Roodsari
Antal Huck-Horváth
Sara Freund
A. Zam
G. Rauter
Wolfgang Schade
Philippe C. Cattin
11
9
0
28 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
38
2
0
19 Sep 2022
Geometric Scattering on Measure Spaces
Geometric Scattering on Measure Spaces
Joyce A. Chew
M. Hirn
Smita Krishnaswamy
Deanna Needell
Michael Perlmutter
H. Steach
Siddharth Viswanath
Hau‐Tieng Wu
GNN
36
16
0
17 Aug 2022
The Scattering Transform Network with Generalized Morse Wavelets and Its
  Application to Music Genre Classification
The Scattering Transform Network with Generalized Morse Wavelets and Its Application to Music Genre Classification
W. H. Chak
N. Saito
David S. Weber
14
1
0
16 Jun 2022
Dimension-adaptive machine-learning-based quantum state reconstruction
Dimension-adaptive machine-learning-based quantum state reconstruction
Sanjaya Lohani
Sangita Regmi
J. Lukens
R. Glasser
T. Searles
Brian T. Kirby
22
6
0
11 May 2022
A Principled Design of Image Representation: Towards Forensic Tasks
A Principled Design of Image Representation: Towards Forensic Tasks
Shuren Qi
Yushu Zhang
Chao Wang
Jiantao Zhou
Xiaochun Cao
16
17
0
02 Mar 2022
Monogenic Wavelet Scattering Network for Texture Image Classification
Monogenic Wavelet Scattering Network for Texture Image Classification
W. H. Chak
N. Saito
12
4
0
25 Feb 2022
AdjointBackMapV2: Precise Reconstruction of Arbitrary CNN Unit's
  Activation via Adjoint Operators
AdjointBackMapV2: Precise Reconstruction of Arbitrary CNN Unit's Activation via Adjoint Operators
Qing Wan
Siu Wun Cheung
Yoonsuck Choe
19
0
0
04 Oct 2021
WaveCNet: Wavelet Integrated CNNs to Suppress Aliasing Effect for
  Noise-Robust Image Classification
WaveCNet: Wavelet Integrated CNNs to Suppress Aliasing Effect for Noise-Robust Image Classification
Qiufu Li
Linlin Shen
Sheng Guo
Zhihui Lai
OOD
21
84
0
28 Jul 2021
Mitigating severe over-parameterization in deep convolutional neural
  networks through forced feature abstraction and compression with an
  entropy-based heuristic
Mitigating severe over-parameterization in deep convolutional neural networks through forced feature abstraction and compression with an entropy-based heuristic
Nidhi Gowdra
R. Sinha
Stephen G. MacDonell
W. Yan
19
9
0
27 Jun 2021
CSM-NN: Current Source Model Based Logic Circuit Simulation -- A Neural
  Network Approach
CSM-NN: Current Source Model Based Logic Circuit Simulation -- A Neural Network Approach
M. Abrishami
Massoud Pedram
Shahin Nazarian
9
6
0
13 Feb 2020
Provably scale-covariant continuous hierarchical networks based on
  scale-normalized differential expressions coupled in cascade
Provably scale-covariant continuous hierarchical networks based on scale-normalized differential expressions coupled in cascade
T. Lindeberg
27
19
0
29 May 2019
The Oracle of DLphi
The Oracle of DLphi
Dominik Alfke
W. Baines
J. Blechschmidt
Mauricio J. del Razo Sarmina
Amnon Drory
...
L. Thesing
Philipp Trunschke
Johannes von Lindheim
David Weber
Melanie Weber
26
0
0
17 Jan 2019
Interpretable Convolutional Neural Networks via Feedforward Design
Interpretable Convolutional Neural Networks via Feedforward Design
C.-C. Jay Kuo
Min Zhang
Siyang Li
Jiali Duan
Yueru Chen
25
155
0
05 Oct 2018
On Lipschitz Bounds of General Convolutional Neural Networks
On Lipschitz Bounds of General Convolutional Neural Networks
Dongmian Zou
R. Balan
Maneesh Kumar Singh
16
54
0
04 Aug 2018
Diffusion Scattering Transforms on Graphs
Diffusion Scattering Transforms on Graphs
Fernando Gama
Alejandro Ribeiro
Joan Bruna
GNN
42
100
0
22 Jun 2018
Deep D-bar: Real time Electrical Impedance Tomography Imaging with Deep
  Neural Networks
Deep D-bar: Real time Electrical Impedance Tomography Imaging with Deep Neural Networks
S. Hamilton
A. Hauptmann
43
253
0
08 Nov 2017
On Data-Driven Saak Transform
On Data-Driven Saak Transform
C.-C. Jay Kuo
Yueru Chen
AI4TS
13
93
0
11 Oct 2017
Generalization Error of Invariant Classifiers
Generalization Error of Invariant Classifiers
Jure Sokolić
Raja Giryes
Guillermo Sapiro
M. Rodrigues
13
77
0
14 Oct 2016
Deep Structured Features for Semantic Segmentation
Deep Structured Features for Semantic Segmentation
Michael Tschannen
Lukas Cavigelli
Fabian Mentzer
Thomas Wiatowski
Luca Benini
SSeg
18
14
0
26 Sep 2016
Understanding Convolutional Neural Networks with A Mathematical Model
Understanding Convolutional Neural Networks with A Mathematical Model
C.-C. Jay Kuo
FAtt
19
370
0
14 Sep 2016
Discrete Deep Feature Extraction: A Theory and New Architectures
Discrete Deep Feature Extraction: A Theory and New Architectures
Thomas Wiatowski
Michael Tschannen
Aleksandar Stanić
Philipp Grohs
Helmut Bölcskei
FAtt
14
25
0
26 May 2016
Robust Large Margin Deep Neural Networks
Robust Large Margin Deep Neural Networks
Jure Sokolić
Raja Giryes
Guillermo Sapiro
M. Rodrigues
24
307
0
26 May 2016
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