48 citations · 109 across the 12 of their papers we have counts for
3 papers · 1 filter
Relational persistent homology for multispecies data with application to the tumor microenvironment
Bernadette J. Stolz, Jagdeep Dhesi, Joshua A. Bull +3
Topological data analysis (TDA) is an active field of mathematics for quantifying shape in complex data. Standard methods in TDA such as persistent homology (PH) are typically focu…
Outlier-robust subsampling techniques for persistent homology
Bernadette J. Stolz
In recent years, persistent homology (PH) has been successfully applied to real-world data in many different settings. Despite significant computational advances, PH algorithms do…
Geometric anomaly detection in data
Bernadette J Stolz, Jared Tanner, Heather A Harrington +1
This paper describes the systematic application of local topological methods for detecting interfaces and related anomalies in complicated high-dimensional data. By examining the t…