1 citations · 1 across the 4 of their papers we have counts for
7 papers
Box Filtration
Enrique Alvarado, Prashant Gupta, Bala Krishnamoorthy
We define a new framework that unifies the filtration and mapper approaches from TDA, and present efficient algorithms to compute it. Termed the box filtration of a PCD, we grow bo…
Partial Plateau's Problem with -mass
Enrique Alvarado, Qinglan Xia
Classically, Plateau's problem asks to find a surface of the least area with a given boundary . In this article, we investigate a version of Plateau's problem, where the boundar…
Geometry of a Set and its Random covers
Enrique Alvarado, Bala Krishnamoorthy, Kevin R. Vixie
Let be a bounded open subset of . We study the following questions: For i.i.d. samples drawn uniformly from , what is the probability that $\…
Representations of Energy Landscapes by Sublevelset Persistent Homology: An Example With n-Alkanes
Joshua Mirth, Yanqin Zhai, Johnathan Bush +8
Encoding the complex features of an energy landscape is a challenging task, and often chemists pursue the most salient features (minima and barriers) along a highly reduced space,…
The Maximum Distance Problem and Minimal Spanning Trees
Enrique G. Alvarado, Bala Krishnamoorthy, Kevin R. Vixie
Given a compact and , the maximum distance problem seeks a compact and connected subset of of smallest one dimensional Hausdorff meas…
A Lower Bound for the Reach of Flat Norm Minimizers
Enrique G. Alvarado, Kevin R. Vixie
We establish a quantitative lower bound on the reach of flat norm minimizers for boundaries in .