2 papers
math.AT2026
Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory
Ãlvaro Torras-Casas, Ka Man Yim, Ulrich Pennig
Given a poset-graded chain complex of vector spaces, a Conley complex is the minimal chain-homotopic reduction of the initial complex that respects the poset grading. A connection…
math.AT2024
Topological Quality of Subsets via Persistence Matching Diagrams
Ãlvaro 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…