172 citations · 176 across the 2 of their papers we have counts for
3 papers
Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies
Sofya Chepushtanova, Michael Kirby, Chris Peterson +1
The existence of characteristic structure, or shape, in complex data sets has been recognized as increasingly important for mathematical data analysis. This realization has motivat…
Persistence Images: A Stable Vector Representation of Persistent Homology
Henry Adams, Sofya Chepushtanova, Tegan Emerson +7
Many datasets can be viewed as a noisy sampling of an underlying space, and tools from topological data analysis can characterize this structure for the purpose of knowledge discov…
Classification of Hyperspectral Imagery on Embedded Grassmannians
Sofya Chepushtanova, Michael Kirby
We propose an approach for capturing the signal variability in hyperspectral imagery using the framework of the Grassmann manifold. Labeled points from each class are sampled and u…