Topological Approaches to Deep Learning

DOI10.1007/978-3-030-43408-3_5zbMath1441.68220arXiv1811.01122OpenAlexW2899011312MaRDI QIDQ5118362

Rickard Brüel Gabrielsson, Gunnar Carlsson

Publication date: 8 September 2020

Published in: Topological Data Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.01122

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Persistent homology and applications, topological data analysis (55N31)

Related Items (3)

Quantification on the generalization performance of deep neural network with Tychonoff separation axioms ⋮ Shapley Homology: Topological Analysis of Sample Influence for Neural Networks ⋮ A differential geometric approach to time series forecasting

Uses Software

• MNIST
• CIFAR
• ImageNet

Cites Work

• Unnamed Item
• Topological signal processing
• A Klein-bottle-based dictionary for texture representation
• On the local behavior of spaces of natural images
• The nonlinear statistics of high-contrast patches in natural images
• Topology and data

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