no code implementations • 7 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.
4 code implementations • 22 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.
Ranked #4 on Graph Classification on NEURON-BINARY
no code implementations • 3 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.