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The method of Lagrange multipliers finds critical points (including maxima and minima) of a differentiable function subject to differentiable constraints.
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Calculating the value of $b^{*}$ in an SVM
For SVMs the decision boundaries are given by $\omega^{*T}x^{(i)} + b = \pm 1$, and $\frac{-b}{||\omega||}$ is the distance from the origin to the hyperplane.
The closest positive and negative exampl …