1 citations · 1 across the 4 of their papers we have counts for
4 papers
Topological Data Analysis in Finsler Spaces
Rafael Cavalcanti, Nelson Leal, Danilo Barros de Souza +2
We introduce a new approach to Topological Data Analysis (TDA) based on Finsler metrics and we also generalize the classical concepts of Vietoris-Rips and Cech complexes within thi…
Depolarization block induction via slow NaV1.1 inactivation in Dravet syndrome
Louisiane Lemaire, Mathieu Desroches, Serafim Rodrigues +1
Dravet syndrome is a developmental and epileptic encephalopathy, characterized by the early onset of drug-resistant seizures and various comorbidities. Most cases of this severe an…
Efficient Decomposition of Forman-Ricci Curvature on Vietoris-Rips Complexes and Data Applications
Danillo Barros de Souza, Jonatas Teodomiro, Fernando A. N. Santos +5
Discrete Forman-Ricci curvature (FRC) is an efficient tool that characterizes essential geometrical features and associated transitions of real-world networks, extending seamlessly…
Alternative set-theoretical algorithms for efficient computations of cliques in Vietoris-Rips complexes
Danillo Barros de Souza, Jonatas Teodomiro, Fernando A. N. Santos +2
Identifying cliques in dense networks remains a formidable challenge, even with significant advances in computational power and methodologies. To tackle this, numerous algorithms h…