Search Results for author: Sofya Chepushtanova

Found 3 papers, 1 papers with code

Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies

no code implementations7 Jul 2016 Sofya Chepushtanova, Michael Kirby, Chris Peterson, Lori Ziegelmeier

This realization has motivated the development of new tools such as persistent homology for exploring topological invariants, or features, in large data sets.

Topological Data Analysis

Persistence Images: A Stable Vector Representation of Persistent Homology

4 code implementations22 Jul 2015 Henry Adams, Sofya Chepushtanova, Tegan Emerson, Eric Hanson, Michael Kirby, Francis Motta, Rachel Neville, Chris Peterson, Patrick Shipman, Lori Ziegelmeier

We convert a PD to a finite-dimensional vector representation which we call a persistence image (PI), and prove the stability of this transformation with respect to small perturbations in the inputs.

BIG-bench Machine Learning Graph Classification +1

Classification of Hyperspectral Imagery on Embedded Grassmannians

no code implementations3 Feb 2015 Sofya Chepushtanova, Michael Kirby

The resulting points on the Grassmannian have representations as orthonormal matrices and as such do not reside in Euclidean space in the usual sense.

Classification General Classification

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