Topology Applied to Machine Learning: From Global to Local

Through the use of examples, we explain one way in which applied topology has evolved since the birth of persistent homology in the early 2000s. The first applications of topology to data emphasized the global shape of a dataset, such as the three-circle model for 3 × 3 pixel patches from natural im...

Full description

Bibliographic Details
Main Authors: Henry Adams, Michael Moy
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-05-01
Series:Frontiers in Artificial Intelligence
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/frai.2021.668302/full