99 citations · 349 across the 28 of their papers we have counts for
30 papers
Topological Quality of Subsets via Persistence Matching Diagrams
Álvaro Torras-Casas, Eduardo Paluzo-Hidalgo, Rocio Gonzalez-Diaz
Data quality is crucial for the successful training, generalization and performance of machine learning models. We propose to measure the quality of a subset concerning the dataset…
Trainable and Explainable Simplicial Map Neural Networks
Eduardo Paluzo-Hidalgo, Miguel A. Gutiérrez-Naranjo, Rocio Gonzalez-Diaz
Simplicial map neural networks (SMNNs) are topology-based neural networks with interesting properties such as universal approximation ability and robustness to adversarial examples…
Emotion recognition in talking-face videos using persistent entropy and neural networks
Eduardo Paluzo-Hidalgo, Guillermo Aguirre-Carrazana, Rocio Gonzalez-Diaz
The automatic recognition of a person's emotional state has become a very active research field that involves scientists specialized in different areas such as artificial intellige…
Partial Matchings Induced by Morphisms between Persistence Modules
R. Gonzalez-Diaz, M. Soriano-Trigueros, A. Torras-Casas
We study how to obtain partial matchings using the block function , induced by a morphism between persistence modules. is defined algebraically a…
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…