RussellRaoDissimilarity
gives the Russell–Rao dissimilarity between Boolean vectors u and v.
Details
- RussellRaoDissimilarity works for both True, False vectors and 0, 1 vectors.
- RussellRaoDissimilarity[u,v] is equivalent to (n10+n01+n00)/Length[u], where
is the number of corresponding pairs of elements in u and v respectively equal to i and j.
Examples
open all close allBasic Examples (2)
Scope (2)
Compute dissimilarity between any 0, 1 vectors of equal length:
RussellRaoDissimilarity[RandomInteger[1, 100], RandomInteger[1, 100]]Compute dissimilarity between any True, False vectors of equal length:
RussellRaoDissimilarity[RandomChoice[{True, False}, 1000], RandomChoice[{True, False}, 1000]]Properties & Relations (4)
Russell–Rao dissimilarity is bounded by 0 and 1:
RussellRaoDissimilarity[{1, 1, 1, 1}, {1, 1, 1, 1}]RussellRaoDissimilarity[{0, 0, 0, 0}, {1, 1, 1, 1}]RussellRaoDissimilarity is greater than or equal to JaccardDissimilarity:
u = RandomInteger[1, 100];
v = RandomInteger[1, 100];RussellRaoDissimilarity[u, v] ≥ JaccardDissimilarity[u, v]RussellRaoDissimilarity is greater than or equal to MatchingDissimilarity:
u = RandomInteger[1, 100];
v = RandomInteger[1, 100];RussellRaoDissimilarity[u, v] ≥ MatchingDissimilarity[u, v]RussellRaoDissimilarity is greater than or equal to DiceDissimilarity:
u = RandomInteger[1, 100];
v = RandomInteger[1, 100];RussellRaoDissimilarity[u, v] ≥ DiceDissimilarity[u, v]Text
Wolfram Research (2007), RussellRaoDissimilarity, Wolfram Language function, https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html.
CMS
Wolfram Language. 2007. "RussellRaoDissimilarity." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html.
APA
Wolfram Language. (2007). RussellRaoDissimilarity. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html