Self-Organizing Maps: Batch Algorithm
Kohonen's Self-Organizing Maps are a crude form of multidimensional scaling.
batchSOM(data, grid = somgrid(), radii, init)
data |
a matrix or data frame of observations, scaled so that Euclidean distance is appropriate. |
grid |
A grid for the representatives: see |
radii |
the radii of the neighbourhood to be used for each pass: one pass is
run for each element of |
init |
the initial representatives. If missing, chosen (without replacement)
randomly from |
The batch SOM algorithm of Kohonen(1995, section 3.14) is used.
An object of class "SOM"
with components
grid |
the grid, an object of class |
codes |
a matrix of representatives. |
Kohonen, T. (1995) Self-Organizing Maps. Springer-Verlag.
Ripley, B. D. (1996) Pattern Recognition and Neural Networks. Cambridge.
Venables, W. N. and Ripley, B. D. (2002) Modern Applied Statistics with S. Fourth edition. Springer.
require(graphics) data(crabs, package = "MASS") lcrabs <- log(crabs[, 4:8]) crabs.grp <- factor(c("B", "b", "O", "o")[rep(1:4, rep(50,4))]) gr <- somgrid(topo = "hexagonal") crabs.som <- batchSOM(lcrabs, gr, c(4, 4, 2, 2, 1, 1, 1, 0, 0)) plot(crabs.som) bins <- as.numeric(knn1(crabs.som$code, lcrabs, 0:47)) plot(crabs.som$grid, type = "n") symbols(crabs.som$grid$pts[, 1], crabs.som$grid$pts[, 2], circles = rep(0.4, 48), inches = FALSE, add = TRUE) text(crabs.som$grid$pts[bins, ] + rnorm(400, 0, 0.1), as.character(crabs.grp))
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