Fast Computation of the L^2 Metric for Sets of Functional Data
Returns the matrix of L^2 distances between two sets of functional data.
L2metric(A, B)
A |
Functions of the first set, represented by a matrix of their functional values of
size |
B |
Functions of the second set, represented by a matrix of their functional values of
size |
For two sets of functional data of sizes m and n
represented by matrices of their functional values on the common domain 1,...,d,
this function returns the symmetric matrix of size m*n whose entry in the
i-th row and j-th column is the approximated L^2 distance of the
i-th function from the first set, and the j-th function from the second set.
This function is utilized in the computation of the h-mode depth.
A symmetric matrix of the distances of the functions of size m*n.
Stanislav Nagy, nagy at karlin.mff.cuni.cz
datapop = dataf2rawfd(dataf.population()$dataf,range=c(1950,2015),d=66) A = datapop[1:20,] B = datapop[21:50,] L2metric(A,B)
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