4 papers
TopoEmbedding, a web tool for the interactive analysis of persistent homology
Xueyi Bao, Guoxi Liu, Federico Iuricich
Software libraries for Topological Data Analysis (TDA) offer limited support for interactive visualization. Most libraries only allow to visualize topological descriptors (e.g., pe…
ICLR 2021 Challenge for Computational Geometry & Topology: Design and Results
Nina Miolane, Matteo Caorsi, Umberto Lupo +30
This paper presents the computational challenge on differential geometry and topology that happened within the ICLR 2021 workshop "Geometric and Topological Representation Learning…
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,…
Computing discrete Morse complexes from simplicial complexes
Ulderico Fugacci, Federico Iuricich, Leila De Floriani
We consider the problem of efficiently computing a discrete Morse complex on simplicial complexes of arbitrary dimension and very large size. Based on a common graph-based formalis…