2 papers
math.DS2018
A fractal dimension for measures via persistent homology
Henry Adams, Manuchehr Aminian, Elin Farnell +6
We use persistent homology in order to define a family of fractal dimensions, denoted for each homological dimension , assigned to a proba…
cs.CG2015
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…