An illustration of the filtration process is found in Figure for a 2D atomistic simulation, where time-averaged water density is analyzed over the space of the simulation. We have the manifold topology). The filtration of a weighted graph is conducted in an analogous manner (by eliminating nodes or edges in which the data is below a certain threshold value). We note that filtration and EC computation operations are easy to conduct and are scalable; this makes the use of the EC attractive in the analysis of large datasets.