99 citations · 349 across the 28 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…
Geometric Objects and Cohomology Operations
Rocio Gonzalez-Diaz, Pedro Real
Cohomology operations (including the cohomology ring) of a geometric object are finer algebraic invariants than the homology of it. In the literature, there exist various algorithm…
Computing Adem Cohomology Operations
Rocio Gonzalez-Diaz, Pedro Real
We deal with the problem of obtaining explicit simplicial formulae defining the classical Adem cohomology operations at the cochain level. Having these formulae at hand, we design…
Simplification Techniques for Maps in Simplicial Topology
Rocio Gonzalez-Diaz, Pedro Real
This paper offers an algorithmic solution to the problem of obtaining "economical" formulae for some maps in Simplicial Topology, having, in principle, a high computational cost in…