Relation between VP and EMD distances for spike trains with same spike counts.

Simulations of spike trains with same number of spikes (i.e., n = 20). Top: Comparison of distances between VP and EMD. Spike trains were defined as tm = (0, …, 0) and tk = (T, …, T), where T is the window length. Left: VP(q = 1/n) reaches a maximum value until T = 2n = 40. After that threshold, VP(q = 1/n) assign insertion costs rather than shifts. Right: (T/n) VP(q = 1/T) equals EMD. Bottom: Comparison of the average distances between VP and EMD across 100 simulations. Spike times for tm and tk (with same spike count) were randomly generated from a uniform distribution U(0, T). (PDF)