Resolution:
## Figure 9.
The 8-dimensional data are projected onto a 3-dimensional subspace The 3-dimensional subspace is spanned by their 1st, 3rd, and 8th coordinates. If
the data would lie on a linear subspace in ℝ^{8}, then the projected data must show a linear pattern. However, the actual projection
of our data does not show a linear pattern but rather two cones next to each other.
A nonlinear approach like Laplacian Eigenmaps could be useful to recover nonlinear
structure of the data manifold.
Ehler |