I was looking for a simple implementation of the JS divergence , not the R library. Since I did not see any of the answers, I suggested the following.
Assuming we have the following input distributions:
# p & q are distributions so their elements should sum up to 1
p <- c(0.00029421, 0.42837957, 0.1371827, 0.00029419, 0.00029419,
0.40526004, 0.02741252, 0.00029422, 0.00029417, 0.00029418)
q <- c(0.00476199, 0.004762, 0.004762, 0.00476202, 0.95714168,
0.00476213, 0.00476212, 0.00476202, 0.00476202, 0.00476202)
The Jensen-Shannon divergence will be as follows:
n <- 0.5 * (p + q)
JS <- 0.5 * (sum(p * log(p / n)) + sum(q * log(q / n)))
> JS
[1] 0.6457538
For more than two distributions (which have already been discussed here ), we need a function to calculate the entropy :
H <- function(v) {
v <- v[v > 0]
return(sum(-v * log(v)))
}
Then the divergence of JS will be:
JSD <- function(w, m) {
return(H(m %*% w) - apply(m, 2, H) %*% w)
}
> JSD(w = c(1/3, 1/3, 1/3), m = cbind(p, q, n))
[,1]
[1,] 0.4305025
w - , 1, m - .