Hello,
This may totally not make any sense, however:The paper states that LLE performs a linear mapping(consisting of a translation, rotation, and re-scaling(affine!!!)) from a high dimensional space to a manifold of a much less dimention. Since many manifolds may look the same, after the affine transformation, does that mean that the high dimensional space, can be mapped not to 1 but to many different lower dimension manifolds?
Andrew