Squared-Euclidean ground cost matrix

$$C_{ij} = \|x_i - y_j\|^2$$ Peyre & Cuturi (2019), Sec. 2.4.

Usage

Otcostsq(X, Y)

Arguments

X, Y

Point sets, n x d and m x d.

Value

Named list with estimate, nrow, ncol, total, method.

References

Peyre & Cuturi (2019), Sec. 2.4.

Examples

V <- c(1, 2, 3, 4, 5, 6, 7, 8)
Otcostsq(V, V)
#> $estimate
#>      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
#> [1,]    0    1    4    9   16   25   36   49
#> [2,]    1    0    1    4    9   16   25   36
#> [3,]    4    1    0    1    4    9   16   25
#> [4,]    9    4    1    0    1    4    9   16
#> [5,]   16    9    4    1    0    1    4    9
#> [6,]   25   16    9    4    1    0    1    4
#> [7,]   36   25   16    9    4    1    0    1
#> [8,]   49   36   25   16    9    4    1    0
#> 
#> $nrow
#> [1] 8
#> 
#> $ncol
#> [1] 8
#> 
#> $total
#> [1] 672
#> 
#> $method
#> [1] "Squared-Euclidean ground cost -- Peyre & Cuturi (2019) Sec. 2.4"
#>