4 citations · 4 across the 5 of their papers we have counts for
5 papers
Quadratic Forms for Measuring Geometric Trees in 3-dimensional Space
Yossi Bokor Bleile, Emanuele Cortinovis, Herbert Edelsbrunner +1
Tree-like structures appear in many areas of science, and their shapes can help understand the underlying processes they drive or that give rise to them. By thinking of these struc…
Persistent Homology as a Morphological Signature of Fibrin Networks
Thomas Burnett, Theresa Reinhold, Bea Bleile +5
We present an investigation of the applicability of topological data analysis (TDA) to the study of high-resolution confocal microscopy images of fibrin network structures from pat…
Identifying cobordisms using kernel persistence
Yossi Bokor Bleile, Lisbeth Fajstrup, Teresa Heiss +2
Motivated by applications in chemistry, we give a homlogical definition of tunnels, or more generally cobordisms, connecting disjoint parts of a cell complex. For a filtered comple…
Towards Stratified Space Learning: Linearly Embedded Graphs
Yossi Bokor, Katharine Turner, Christopher Williams
In this paper, we consider the simplest class of stratified spaces -- linearly embedded graphs. We present an algorithm that learns the abstract structure of an embedded graph and…
Stratified Space Learning: Reconstructing Embedded Graphs
Yossi Bokor, Daniel Grixti-Cheng, Markus Hegland +2
Many data-rich industries are interested in the efficient discovery and modelling of structures underlying large data sets, as it allows for the fast triage and dimension reduction…