14 citations · 30 across the 8 of their papers we have counts for
3 papers · 1 filter
Decomposing zero-dimensional persistent homology over rooted tree quivers
Riju Bindua, Thomas Brüstle, Luis Scoccola
Given a functor from any category into the category of topological spaces, one obtains a linear representation of the category by post-composing the given functor with a homology f…
Computing Betti tables and minimal presentations of zero-dimensional persistent homology
Yuan Luo, Dmitriy Morozov, Luis Scoccola
The Betti tables of a multigraded module encode the grades at which there is an algebraic change in the module. Multigraded modules show up in many areas of pure and applied mathem…
Differentiability and Optimization of Multiparameter Persistent Homology
Luis Scoccola, Siddharth Setlur, David Loiseaux +2
Real-valued functions on geometric data -- such as node attributes on a graph -- can be optimized using descriptors from persistent homology, allowing the user to incorporate topol…