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mhjensen
2020-11-26 14:48:34 +01:00
3 changed files with 152 additions and 17 deletions
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@@ -57,9 +57,16 @@ space using other basis expansions such as higher-order polynomials,
wavelets, splines etc.
If our feature space is not easy to separate, as shown in the figure
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here, we can achieve a better separation by introducing more complex
basis functions. The ideal would be, as shown in the next figure, to,
via a specific transformation to obtain a separation between the
classes which is almost linear.
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here generated by the code below (see also Figures 12.2 and 12.3 of "Hastie et al.":"https://www.springer.com/gp/book/9780387848570"), we can achieve a better separation by introducing more complex
basis functions. The ideal would be (see Figures 12.2 and 12.3) to, via a specific transformation to
obtain a separation between the classes which is almost linear.
>>>>>>> origin/master
The change of basis, from $x\rightarrow z=\phi(x)$ leads to the same type of equations to be solved, except that
we need to introduce, for example, a polynomial transformation to a two-dimensional training set.