106 citations · 673 across the 38 of their papers we have counts for
39 papers
Bounding the Interleaving Distance for Mapper Graphs with a Loss Function
Erin W. Chambers, Elizabeth Munch, Sarah Percival +1
Data consisting of a graph with a function mapping into arise in many data applications, encompassing structures such as Reeb graphs, geometric graphs, and knot embe…
Using topological data analysis to compare inter-subject variability across resting state functional MRI brain representations
Ty Easley, Kevin Freese, Elizabeth Munch +1
In neuroimaging, extensive post-processing of resting-state functional MRI (rfMRI) data is necessary for its application and investigation in relation to brain-behavior association…
NervePool: A Simplicial Pooling Layer
Sarah McGuire Scullen, Ernst Röell, Elizabeth Munch +2
For deep learning problems on graph-structured data, pooling layers are important for down sampling, reducing computational cost, and to minimize overfitting. We define a pooling l…
A Topological Framework for Identifying Phenomenological Bifurcations in Stochastic Dynamical Systems
Sunia Tanweer, Firas A. Khasawneh, Elizabeth Munch +1
Changes in the parameters of dynamical systems can cause the state of the system to shift between different qualitative regimes. These shifts, known as bifurcations, are critical t…
Robust Zero-crossings Detection in Noisy Signals using Topological Signal Processing
Sunia Tanweer, Firas A. Khasawneh, Elizabeth Munch
We explore a novel application of zero-dimensional persistent homology from Topological Data Analysis (TDA) for bracketing zero-crossings of both one-dimensional continuous functio…
Comparing Embedded Graphs Using Average Branching Distance
Levent Batakci, Abigail Branson, Bryan Castillo +3
Graphs drawn in the plane are ubiquitous, arising from data sets through a variety of methods ranging from GIS analysis to image classification to shape analysis. A fundamental pro…