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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?
I have found the answer on my question which can be explained geometrically very well.
We know that the complementary condition of the KKT-conditions says:
$$\alpha\geq0, \alpha(y_i(w^Tx_i + b) - 1) = …