In Example 7.6 we used the feature map (boldsymbol{phi}(boldsymbol{x})=left[x_{1}, x_{2}, x_{1}^{2}+x_{2}^{2} ight]^{top}) to classify the points. An

In Example 7.6 we used the feature map \(\boldsymbol{\phi}(\boldsymbol{x})=\left[x_{1}, x_{2}, x_{1}^{2}+x_{2}^{2}\right]^{\top}\) to classify the points. An easier way is to map the points into \(\mathrm{r}^{1}\) via the feature map \(\boldsymbol{\phi}(\boldsymbol{x})=\|\boldsymbol{x}\|\) or any monotone function thereof. Translated back into \(\mathbb{R}^{2}\) this yields a circular separating boundary. Find the radius and center of this circle, using the fact that here the sorted norms for the two groups are \(\ldots, 0.4889,0.5528, \ldots\).