3 research outputs found
A Locally Stable Edit Distance for Functions Defined on Merge Trees
In this work we define a novel metric structure to work with functions
defined on merge trees. The metric introduced possesses some stability
properties and can be computed with a dynamical integer linear programming
approach. We showcase its feasibility and the effectiveness of the whole
framework with simulated data sets. Using functions defined on merge trees
proves to be very effective in situation where other topological data analysis
tools, like persistence diagrams, can not be meaningfully employed