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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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SVM: Why alpha for non support vector is zero and why most vectors have zero alpha?
In the optimization problem in SVM to compute the margin, we use Lagrange multipliers to insert the constraint:
$$L(w,b,\alpha)= \frac{1}{\lambda}|w| - \sum \alpha (y_i(w*x_i+b) -1)$$
Now we want to c …