dm.cs.tu-dortmund.de/mlbits/class-svm-extensions/
SVM – Extensions – Lecture Notes
& \tfrac 12 R^2 + C \sum \nolimits _i \xi _i \\ \text{subject to}\quad & \lVert x_i - a \rVert ^2 \leq R^2 + \xi _i & & \text{for } i=1,2,\dots ,N \\ & \xi _i \geq 0 & & \text{for } i=1,2,\dots ,N \end [...] Optimization problem:
\[\begin{align*} \text{minimize }\quad & \tfrac {1}{2}\left\lVert \smash {\vec{w}}\mathstrut \right\rVert ^2 + C \sum \nolimits _i \xi _i + \xi _i\mathclap {^*}\\ \text{subject to}\quad [...] \leq 1 + \xi _i & & \text{for } i=1,2,\dots ,N \\ & \left\langle \vec{w},\vec{x_i}\mathstrut \right\rangle + b - y_i \leq 1 + \xi _i\mathclap {^*} & & \text{for } i=1,2,\dots ,N \\ & \xi _i, \xi _i\mathclap …
