4 papers
The Convex Matching Distance in Multiparameter Persistence
Francesco Conti, Patrizio Frosini, Ulderico Fugacci +4
We introduce the convex matching distance, a novel metric for comparing functions with values in the real plane. This metric measures the maximal bottleneck distance between the pe…
Feedback Clustering for Online Travel Agencies Searches: a Case Study
Sara Scaramuccia, Simon Nanty, Florent Masseglia
Understanding choices performed by online customers is a growing need in the travel industry. In many practical situations, the only available information is the flight search quer…
Relative-perfectness of discrete gradient vector fields and multi-parameter persistent homology
Claudia Landi, Sara Scaramuccia
The combination of persistent homology and discrete Morse theory has proven very effective in visualizing and analyzing big and heterogeneous data. Indeed, topology provides comput…
Computing multiparameter persistent homology through a discrete Morse-based approach
Sara Scaramuccia, Federico Iuricich, Leila De Floriani +1
Persistent Homology (PH) allows tracking homology features like loops, holes and their higher-dimensional analogs, along with a single-parameter family of nested spaces. Currently,…