Merge branch 'master' of https://github.com/CompPhysics/MachineLearning
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@@ -57,9 +57,16 @@ space using other basis expansions such as higher-order polynomials,
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wavelets, splines etc.
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If our feature space is not easy to separate, as shown in the figure
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<<<<<<< HEAD
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here, we can achieve a better separation by introducing more complex
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basis functions. The ideal would be, as shown in the next figure, to,
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via a specific transformation to obtain a separation between the
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classes which is almost linear.
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=======
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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
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basis functions. The ideal would be (see Figures 12.2 and 12.3) to, via a specific transformation to
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obtain a separation between the classes which is almost linear.
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>>>>>>> origin/master
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The change of basis, from $x\rightarrow z=\phi(x)$ leads to the same type of equations to be solved, except that
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we need to introduce, for example, a polynomial transformation to a two-dimensional training set.
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