3 papers
math.AT2026
L-fuzzy simplicial homology
Javier Perera-Lago, Alvaro Torras-Casas, Rocio Gonzalez-Diaz
Simplicial homology is a classical tool that assigns a sequence of modules to a simplicial complex, providing invariants for the study of its topological properties. In this articl…
math.AT2025
The Induced Matching Distance: A Novel Topological Metric with Applications in Robotics
Javier Perera-Lago, Ãlvaro Torras-Casas, Jérôme Guzzi +1
This paper introduces the induced matching distance, a novel topological metric designed to compare discrete structures represented by a symmetric non-negative function. We apply t…
cs.LG2024
Application of the representative measure approach to assess the reliability of decision trees in dealing with unseen vehicle collision data
Javier Perera-Lago, VÃctor Toscano-Durán, Eduardo Paluzo-Hidalgo +2
Machine learning algorithms are fundamental components of novel data-informed Artificial Intelligence architecture. In this domain, the imperative role of representative datasets i…