Title
Optimizing The Simplicial-Map Neural Network Architecture
Abstract
Simplicial-map neural networks are a recent neural network architecture induced by simplicial maps defined between simplicial complexes. It has been proved that simplicial-map neural networks are universal approximators and that they can be refined to be robust to adversarial attacks. In this paper, the refinement toward robustness is optimized by reducing the number of simplices (i.e., nodes) needed. We have shown experimentally that such a refined neural network is equivalent to the original network as a classification tool but requires much less storage.
Year
DOI
Venue
2021
10.3390/jimaging7090173
JOURNAL OF IMAGING
Keywords
DocType
Volume
simplicial-map neural networks, artificial neural networks, computational topology
Journal
7
Issue
ISSN
Citations 
9
2313-433X
0
PageRank 
References 
Authors
0.34
0
4