99 citations · 349 across the 28 of their papers we have counts for
5 papers · 1 filter
Summary and Distance between Sets of Texts based on Topological Data Analysis
Eduardo Paluzo-Hidalgo, Rocio Gonzalez-Diaz, Miguel A. Gutiérrez-Naranjo
In this paper, we use topological data analysis (TDA) tools such as persistent homology, persistent entropy and bottleneck distance, to provide a {\it TDA-based summary} of any giv…
An algorithm to compute minimal Sullivan algebras
Antonio Garvin, Rocio Gonzalez-Diaz, Belen MEdrano
In this note, we give an algorithm that starting with a Sullivan algebra gives us its minimal model. This algorithm is a kind of modified AT-model algorithm used to compute in the…
Two-hidden-layer Feedforward Neural Networks are Universal Approximators: A Constructive Approach
Rocio Gonzalez-Diaz, Miguel A. Gutiérrez-Naranjo, Eduardo Paluzo-Hidalgo
It is well known that Artificial Neural Networks are universal approximators. The classical result proves that, given a continuous function on a compact set on an n-dimensional spa…
Topological signature for periodic motion recognition
Javier Lamar-Leon, Rocio Gonzalez-Diaz, Edel Garcia-Reyes
In this paper, we present an algorithm that computes the topological signature for a given periodic motion sequence. Such signature consists of a vector obtained by persistent homo…
Topology-based Representative Datasets to Reduce Neural Network Training Resources
Rocio Gonzalez-Diaz, Miguel A. Gutiérrez-Naranjo, Eduardo Paluzo-Hidalgo
One of the main drawbacks of the practical use of neural networks is the long time required in the training process. Such a training process consists of an iterative change of para…