Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Rask, Tatum"'
Autor:
Fajstrup, Lisbeth, Fasy, Brittany Terese, Li, Wenwen, Mezrag, Lydia, Rask, Tatum, Tombari, Francesca, Urbančič, Živa
The Gromov--Hausdorff distance measures the similarity between two metric spaces by isometrically embedding them into an ambient metric space. In this work, we introduce an analogue of this distance for metric spaces endowed with directed structures.
Externí odkaz:
http://arxiv.org/abs/2408.14394
Autor:
Patel, Amit, Rask, Tatum
Publikováno v:
Journal of Applied and Computational Topology (2024)
We dualize previous work on generalized persistence diagrams for filtrations to cofiltrations. When the underlying space is a manifold, we express this duality as a Poincar\'e duality between their generalized persistence diagrams. A heavy emphasis i
Externí odkaz:
http://arxiv.org/abs/2212.14610
Persistence diagrams are common descriptors of the topological structure of data appearing in various classification and regression tasks. They can be generalized to Radon measures supported on the birth-death plane and endowed with an optimal transp
Externí odkaz:
http://arxiv.org/abs/2212.08295
Autor:
Scoccola, Luis, Gakhar, Hitesh, Bush, Johnathan, Schonsheck, Nikolas, Rask, Tatum, Zhou, Ling, Perea, Jose A.
The circular coordinates algorithm of de Silva, Morozov, and Vejdemo-Johansson takes as input a dataset together with a cohomology class representing a $1$-dimensional hole in the data; the output is a map from the data into the circle that captures
Externí odkaz:
http://arxiv.org/abs/2212.07201
Autor:
Patel, Amit, Rask, Tatum
Publikováno v:
Journal of Applied & Computational Topology; Jun2024, Vol. 8 Issue 2, p427-442, 16p
