1 citations · 1 across the 7 of their papers we have counts for
7 papers
Switch Points of Bi-Persistence Matching Distance
Robyn Brooks, Celia Hacker, Claudia Landi +2
In multi-parameter persistence, the matching distance is defined as the supremum of weighted bottleneck distances on the barcodes given by the restriction of persistence modules to…
Computing the Matching Distance of 2-Parameter Persistence Modules from Critical Values
Asilata Bapat, Robyn Brooks, Celia Hacker +3
The exact computation of the matching distance for multi-parameter persistence modules is an active area of research in computational topology. Achieving an easily obtainable exact…
A statistical approach to knot confinement via persistent homology
Daniele Celoria, Barbara I. Mahler
In this paper we study how randomly generated knots occupy a volume of space using topological methods. To this end, we consider the evolution of the first homology of an immersed…
A topological selection of folding pathways from native states of knotted proteins
Agnese Barbensi, Naya Yerolemou, Oliver Vipond +3
Understanding the biological function of knots in proteins and their folding process is an open and challenging question in biology. Recent studies classify the topology and geomet…
Contagion Dynamics for Manifold Learning
Barbara I. Mahler
Contagion maps exploit activation times in threshold contagions to assign vectors in high-dimensional Euclidean space to the nodes of a network. A point cloud that is the image of…
Morse-based Fibering of the Persistence Rank Invariant
Asilata Bapat, Robyn Brooks, Celia Hacker +2
Although there is no doubt that multi-parameter persistent homology is a useful tool to analyse multi-variate data, efficient ways to compute these modules are still lacking in the…
Analysis of contagion maps on a class of networks that are spatially embedded in a torus
Barbara I. Mahler
A spreading process on a network is influenced by the network's underlying spatial structure, and it is insightful to study the extent to which a spreading process follows such str…