Find a 2-D plane in 4-D space
Generate 100 cases of u from uniform(0,1)
Generate 100 cases of v from uniform(0,1)
Define x = u + v, y= u-v,
Apply PCA-model to (x, y,u,v); demo.
It still works with small errors (e ~N(0,1)) present:
x = u + v + .01 e_1 ; y=u - v +.01e_2
Define x = u + v^2 , y= u - v^2, z = v^2
Apply PCA-model to (x, y, z, u); works fine
But not so well with Nonlinear manifold; try
( pca-model (list x y u v))