. Author manuscript; available in PMC: 2015 May 13.

Published in final edited form as: Int J Image Graph. 2014 Dec 3;14(4):1450016. doi: 10.1142/S0219467814500168

Table 3.

r_d’s as defined in Eq. (32) to according to MEMD, GAM, apx as compared with EMD, $\hat{E M D}$ , EMD-L1, L₁ and L₂ for a set of random vector pairs.

	MEMD₂	GAM₂	apx₂	EMD	${\hat{E M D}}_{2}$	EMD-L1	L₁	L₂
(1) swapping	3.46	3.37	3.36	1.22	2.63	1.61	1.80	1.15
(2) deletion	1.30	1.25	1.22	0.47	1.45	1.31	0.43	0.62
(3) insertion	1.50	1.50	1.45	0.74	1.41	0.99	1.29	0.89
(4) splitting/merging	2.89	2.85	2.84	1.10	2.82	0.15	3.52	4.60
(5) global shift	0.95	0.89	0.79	0.43	0.46	0.71	0.10	0.11
(6) Gaussian noise	1.72	1.75	1.76	0.38	1.51	0.34	2.43	2.57
(7) outliers	1.12	1.09	1.09	0.26	0.75	0.46	0.31	2.46
(8) moving average	2.71	2.76	2.81	1.23	1.76	0.59	1.86	2.08
(9) median filtering	1.34	1.42	1.43	0.55	0.83	0.08	1.72	1.50