# Miscellaneous functions
projection <- function(B, W = diag(nrow(B)))
{
# Returns the projection operator onto the subspace spanned by the cols of B
# with respect to W inner product (by default the usual inner product).
B <- as.matrix(B)
B %*% MASS::ginv(t(B) %*% W %*% B) %*% t(B) %*% W
}
normalize <- function(x)
{
# Normalize the vector x to have unit length
x <- as.vector(x)
x <- x/drop(sqrt(crossprod(x)))
return(x)
}
radian2degree <- function(x)
{
# Convert a radian measure x to a degree measure.
x*180/pi
}
Angle <- function (A, B, degree = FALSE)
{
# Returns the sin of the maximal angle between two subspaces spanned by the
# (n x p) matrices A and B:
# sin(theta) = ||P_S(A) - P_S(B)||
# where ||.|| is the spectral Euclidean norm, i.e. the maximum singular value,
# and P_S(A) and P_S(B) are the projection matrices onto subspaces S(A) and
# S(B). If degree = TRUE returns the angle in degree.
A <- as.matrix(A)
B <- as.matrix(B)
if(any((dim(A) != dim(B))))
{ stop("matrices A and B do not have the same dimensions!") }
A <- apply(A, 2, normalize)
B <- apply(B, 2, normalize)
th <- max(svd(projection(A) - projection(B))$d[-1])
if(degree) th <- radian2degree(asin(th))
return(th)
}
tr <- function(x)
{
return(sum(diag(x)))
}
ppgmmga.table.angle <- function(...)
{
models <- list(...)
p <- models[[1]]$GMM$d
d <- models[[1]]$d
N <- length(models)
angle <- matrix(data = NA,nrow = N,ncol = N)
names <- rep(NA, N)
for(j in 1:N)
{
for(i in j:N)
{
angle[j,i] <- Angle(A = models[[j]]$basis,
B = models[[i]]$basis,
degree = TRUE)
}
names[j] <- models[[j]]$approx
}
rownames(angle) <- names
colnames(angle) <- names
return(angle)
}
multiple_ggplot <- function(...)
{
stopifnot(require(gridExtra))
grid.arrange(...)
}
multiple_ggplot_sharedLegend <- function(..., ncol = length(list(...)), nrow = 1, position = c("bottom", "right"))
{
stopifnot(require(gridExtra))
grid_arrange_shared_legend(..., ncol = ncol, nrow = nrow, position = position)
}
grid_arrange_shared_legend <- function(..., ncol = length(list(...)), nrow = 1, position = c("bottom", "right"))
{
stopifnot(require(gridExtra))
stopifnot(require(grid))
plots <- list(...)
position <- match.arg(position)
g <- ggplotGrob(plots[[1]] + theme(legend.position = position))$grobs
legend <- g[[which(sapply(g, function(x) x$name) == "guide-box")]]
lheight <- sum(legend$height)
lwidth <- sum(legend$width)
gl <- lapply(plots, function(x) x + theme(legend.position="none"))
gl <- c(gl, ncol = ncol, nrow = nrow)
combined <- arrangeGrob(do.call(arrangeGrob, gl),
legend,
ncol = ifelse(position == "bottom", 1, 2),
heights = unit.c(unit(1, "npc") - lheight, lheight))
grid.newpage()
cobined <- grid.draw(combined)
return(combined)
}
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.