75 search results - page 4 / 15 » Stability of persistence diagrams |
ESA
2010
Springer
13 years 11 months ago
2010
Springer
We define the robustness of a level set homology class of a function f : X R as the magnitude of a perturbation necessary to kill the class. Casting this notion into a group theor...
CORR
2010
Springer
13 years 7 months ago
2010
Springer
The present lack of a stable method to compare persistent homology groups with torsion is a relevant problem in current research about Persistent Homology and its applications in P...
ICCV
2011
IEEE
12 years 9 months ago
2011
IEEE
Interpreting an image as a function on a compact subset of the Euclidean plane, we get its scale-space by diffusion, spreading the image over the entire plane. This generates a 1-...
CORR
2010
Springer
13 years 10 months ago
2010
Springer
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
AMC
2005
13 years 9 months ago
2005
This paper considers a basic model for a spread of two diseases in a population. The equilibria of the model are found, and their stability is investigated. In particular, we prov...