Relative Optimal Transport

with Peter Bubenik

[Arxiv]

A Categorical Approach to Möbius Inversion via Derived Functors

with Amit Patel

[Arxiv]

Learning on Persistence Diagrams as Radon Measures

with Iryna Hartsock, Jose Perea, and Tatum Rask

[Arxiv]

Virtual Persistence Diagrams, Signed Measures, Wasserstein Distances, and Banach Spaces

with Peter Bubenik

Journal of Applied and Computational Topology, 1-46. 2022.

[Arxiv, Journal]

Universality of Persistence Diagrams and the Bottleneck and Wasserstein Distances

with Peter Bubenik

Computational Geometry, 105, 101882. 2022.

[Arxiv, Journal]

Topological Data Analysis of C. elegans Locomotion and Behavior

with Ashleigh Thomas, Kathleen Bates, Iryna Hartsock, Hang Lu, and Peter Bubenik

Frontiers of Artificial Intelligence. 2021.

[Arxiv, Journal]

The Reflection Distance Between Zigzag Persistence Modules

with Facundo Mémoli

Journal of Applied and Computational Topology, 185-219. 2019.

[Arxiv, Journal]

Universality of the Wasserstein Distances and Relative Optimal Transport

Advised by Peter Bubenik

[UF Digital Collections]

Stability of Zigzag Persistence with Respect to a Reflection-type Distance

Advised by Facundo Mémoli

[OhioLink]