4 papers
Metric pairs and tuples in theory and applications
Andrés Ahumada Gómez, Mauricio Che, Manuel Cuerno
We present theoretical properties of the space of metric pairs equipped with the Gromov--Hausdorff distance. First, we establish the classical metric separability and the geometric…
Finding patterns of meaning: Reassessing Construal Clustering via Bipolar Class Analysis
Manuel Cuerno, Fernando Galaz-García, Sergio Galaz-García +1
Empirical research on \textit{construals}--social affinity groups that share similar patterns of meaning--has advanced significantly in recent years. This progress is largely drive…
Topological Data Analysis in Air Traffic Management: the shape of big flight data sets
Manuel Cuerno, Luis Guijarro, Rosa María Arnaldo Valdés +1
Analyzing flight trajectory data sets poses challenges due to the intricate interconnections among various factors and the high dimensionality of the data. Topological Data Analysi…
Upper and lower bounds on the filling radius
Manuel Cuerno, Luis Guijarro
We give a curvature dependent lower bound for the filling radius of all closed Riemannian manifolds as well as an upper one for manifolds which are the total space of a Riemannian…