3 papers
math.CO2026
Nested tree space: a geometric framework for co-phylogeny
G. Grindstaff, R. S. Hoekzema
Nested (or reconciled) phylogenetic trees model co-evolutionary systems in which one evolutionary history is embedded within another. We introduce a geometric framework for such sy…
math.AT2025
Intrinsic Bottleneck Distance for Merge Trees
David Beers, Gillian Grindstaff
Merge trees are a topological descriptor of a filtered space that enriches the degree zero barcode with its merge structure. The space of merge trees comes equipped with an interle…
cs.LG2025
Tropical Bisectors and Carlini-Wagner Attacks
Gillian Grindstaff, Julia Lindberg, Daniela Schkoda +2
Pasque et al. showed that using a tropical symmetric metric as an activation function in the last layer can improve the robustness of convolutional neural networks (CNNs) against s…