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#f2 - show vec plot 2D and 3D
vec.plot = function(model,X,i.var,grid.lines=100,VEC.function=mean,zoom=1,limitY=F,col="#20202050") {
#compute grid range
d = length(i.var)
scales = lapply(i.var, function(i) {
rXi = range(X[,i])
span = abs(rXi[2]-rXi[1])*zoom/2
center = mean(rXi)
seq(center-span,center+span,length.out=grid.lines)
})
#expand grid range to a n-dimensional VEC-space and predict by model
anchor.points = as.matrix(expand.grid(scales),dimnames=NULL)
Xgeneralized=apply(X,2,VEC.function)
Xtest.vec = data.frame(t(replicate(dim(anchor.points)[1],Xgeneralized)))
Xtest.vec[,i.var] = anchor.points
yhat.vec = predict(model,Xtest.vec)
#add observations to VEC-space
values.to.plot=X[,i.var]
Xmean=apply(X,2,VEC.function)
Xtest.obs = data.frame(t(replicate(dim(X)[1],Xgeneralized)))
Xtest.obs[,i.var] = values.to.plot
yhat.obs = predict(model, Xtest.obs)
#plot VEC-space versus predictions (only 2D and 3D plot supported)
if(d==2) { #if 2D VEC space
plot3d(x=values.to.plot[,1],y=values.to.plot[,2],z=yhat.obs,
xlab=names(X)[i.var][1],ylab=names(X)[i.var][2],main="VEC-SURFACE",col=col)
surface3d(x=scales[[1]],
y=scales[[2]],
z=yhat.vec,col="#404080",size=4,alpha=0.4)
}else{ #otherwise if 1D VEC-space
if(limitY) {ylim = range(model$y)} else {ylim = NULL}
plot(x=scales[[1]],y=yhat.vec,col="red",type="l",xlab=names(X)[i.var][1],ylim=ylim)
points(values.to.plot,yhat.obs)
}
}
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