3 papers
cs.CG2026
A Probabilistic Interpretation of the Ball Mapper Graph
John Rick Manzanares, Jay-Anne Bulauan
We introduce Probabilistic Ball Mapper, a formulation of Ball Mapper in which each data point is assigned a probability distribution supported only on the metric balls that contain…
cs.CG2026
Exact and Approximate Range Queries in Ball Mapper
Jay-Anne Bulauan, John Rick Manzanares
Ball Mapper summarizes a finite metric dataset by covering the sample with closed balls centered at selected landmarks and connecting landmarks whose balls share observations. Its…
cs.CG2020
LUMÁWIG: An Efficient Algorithm for Dimension Zero Bottleneck Distance Computation in Topological Data Analysis
Paul Samuel Ignacio, Jay-Anne Bulauan, David Uminsky
Stability of persistence diagrams under slight perturbations is a key characteristic behind the validity and growing popularity of topological data analysis in exploring real-world…