Using persistent homology and dynamical distances to analyze protein binding

Understand

Persistent homology captures the evolution of topological features of a model as a parameter changes.

• The most commonly used summary statistics of persistent homology are the barcode and the persistence diagram.
• Another summary statistic, the persistence landscape, was recently introduced by Bubenik.
• It is a functional summary, so it is easy to calculate sample means and variances, and it is straightforward to construct various test statistics.