1 citations · 1 across the 3 of their papers we have counts for
6 papers
Minimizers of the Maximum Distance Problem via an Analyst's Traveling Salesperson Algorithm
Enrique Alvarado, Silvia Ghinassi, Lisa Naples
We provide an upper and lower bound for the length of Maximum Distance Problem minimizers in terms of a finite scale geometric square sum.
Detecting the Indian Monsoon using Topological Data Analysis
Enrique Alvarado, Daniela Beckelhymer, Joshua Dorrington +5
A monsoon is a wind system that seasonally reverses its direction, accompanied by corresponding changes in precipitation. The Indian monsoon is the most prominent monsoon system, p…
Any Graph is a Mapper Graph
Enrique G Alvarado, Robin Belton, Kang-Ju Lee +4
The Mapper algorithm is a popular tool for visualization and data exploration in topological data analysis. We investigate an inverse problem for the Mapper algorithm: Given a data…
Asymptotics of maximum distance minimizers
Enrique G Alvarado, Louisa Catalano, Tomás Merchán +1
We study the limiting behavior of -maximum distance minimizers and the asymptotics of their -dimensional Hausdorff measures as tends to zero in several contexts, includin…
G-Mapper: Learning a Cover in the Mapper Construction
Enrique Alvarado, Robin Belton, Emily Fischer +4
The Mapper algorithm is a visualization technique in topological data analysis (TDA) that outputs a graph reflecting the structure of a given dataset. However, the Mapper algorithm…
General fractals represented by -limit sets of compression maps
Tynan Lazarus, Enrique G Alvarado, Qinglan Xia
In this article, we provide a simple and systematic way to represent general (inhomogeneous) fractals that may look different at different scales and places. By using set-valued co…