
Topology Reduction in Deep Convolutional Feature Extraction Networks
Deep convolutional neural networks (CNNs) used in practice employ potent...
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Energy Propagation in Deep Convolutional Neural Networks
Many practical machine learning tasks employ very deep convolutional neu...
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Deep Convolutional Neural Networks on Cartoon Functions
Wiatowski and Bölcskei, 2015, proved that deformation stability and vert...
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A Mathematical Theory of Deep Convolutional Neural Networks for Feature Extraction
Deep convolutional neural networks have led to breakthrough results in n...
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Deep Structured Features for Semantic Segmentation
We propose a highly structured neural network architecture for semantic ...
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Deep Convolutional Neural Networks Based on SemiDiscrete Frames
Deep convolutional neural networks have led to breakthrough results in p...
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Discrete Deep Feature Extraction: A Theory and New Architectures
First steps towards a mathematical theory of deep convolutional neural n...
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Thomas Wiatowski
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