Exercise 9.11

Answers

We have

x = [\begin{matrix} 1 \\ 1 \end{matrix}], z = [\begin{matrix} 1 \\ 1 \\ 2 \end{matrix}] .

The reconstructed test point in $Z$ space using top-1 PCA is:

ẑ = z^{T} v_{1} v_{1} = 2 v_{1} = [\begin{matrix} 0 \\ 0 \\ 2 \end{matrix}] .

By the feature transformation $Φ$ , we don’t have a solution for the reconstructed $\hat{x}$ in $X$ space.

niuers

2021-12-08 10:27