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Table 3 Computational complexity of distance and geometric mean

From: Target detection based on generalized Bures–Wasserstein distance

Metric

distance

geometric mean

AIJD

n4/2 + 73n3 + 5n2-31n/2–1 52n3 + 10n2-20n-4

(m + 1)n4/2 + (41n + 88)n3-(2m + 13)/2-(3m + 18)n/2

KLD

16n3 + 14n2-8n-6

m(16n3-4n2) + 136n3-2n2-32n

BW

112n3 + 32n2-50n-6

8(m + 1)n3-2n2

GBW

(112n3 + 32n2-50n-6) + l(n4/2 + 384n3 + 15n2/2-91n-6)

(m(96n3-24n) + 48n3 + 4n2-16n)k (m(96n3-24n) + 48n3 + 4n2-16n)k