4 papers
Stable Homology-Based Cycle Centrality Measures
John Rick D. Manzanares, Paul Samuel P. Ignacio
Network centrality measures play a crucial role in understanding graph structures, assessing the importance of nodes, paths, or cycles based on directed or reciprocal interactions…
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…
Intrinsic Hierarchical Clustering Behavior Recovers Higher Dimensional Shape Information
Paul Samuel P. Ignacio
We show that specific higher dimensional shape information of point cloud data can be recovered by observing lower dimensional hierarchical clustering dynamics. We generate multipl…
Classification of Single-lead Electrocardiograms: TDA Informed Machine Learning
Paul Samuel Ignacio, David Uminsky, Christopher Dunstan +2
Atrial Fibrillation is a heart condition characterized by erratic heart rhythms caused by chaotic propagation of electrical impulses in the atria, leading to numerous health compli…