1 citations · 2 across the 2 of their papers we have counts for
3 papers
Safe and Efficient Social Navigation through Explainable Safety Regions Based on Topological Features
Victor Toscano-Duran, Sara Narteni, Alberto Carlevaro +2
The recent adoption of artificial intelligence in robotics has driven the development of algorithms that enable autonomous systems to adapt to complex social environments. In parti…
The Induced Matching Distance: A Novel Topological Metric with Applications in Robotics
Javier Perera-Lago, Álvaro Torras-Casas, Jérôme Guzzi +1
This paper introduces the induced matching distance, a novel topological metric designed to compare discrete structures represented by a symmetric non-negative function. We apply t…
Properties and Stability of Persistence Matching Diagrams
Alvaro Torras-Casas, Rocio Gonzalez-Diaz
We introduce persistence matching diagrams induced by set mappings of metric spaces, based on 0-persistent homology of Vietoris-Rips filtrations. Also, we present a geometric defin…