Question: When linear PCA does not work we naturally go to kernels. For your example above, propose a suitable kernel (x) that you expect would do
When linear PCA does not work we naturally go to kernels. For your example above, propose a suitable kernel (x) that you expect would do a better job if we do Kernel-PCA. Justify your selection. Compute the kernel matrix K(x_i ,x_j)= (x_i)'(x_j) for the first 3 points of your example data above
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