232 citations · 364 across the 22 of their papers we have counts for
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A Random Persistence Diagram Generator
Theodore Papamarkou, Farzana Nasrin, Austin Lawson +3
Topological data analysis (TDA) studies the shape patterns of data. Persistent homology is a widely used method in TDA that summarizes homological features of data at multiple scal…
Bayesian Topological Learning for Classifying the Structure of Biological Networks
Vasileios Maroulas, Cassie Putman Micucci, Farzana Nasrin
Actin cytoskeleton networks generate local topological signatures due to the natural variations in the number, size, and shape of holes of the networks. Persistent homology is a me…
Bayesian Topological Learning for Brain State Classification
Farzana Nasrin, Christopher Oballe, David L. Boothe +1
Investigation of human brain states through electroencephalograph (EEG) signals is a crucial step in human-machine communications. However, classifying and analyzing EEG signals ar…
A Stable Cardinality Distance for Topological Classification
Vasileios Maroulas, Cassie Putman Micucci, Adam Spannaus
This work incorporates topological features via persistence diagrams to classify point cloud data arising from materials science. Persistence diagrams are multisets summarizing the…