ml-recall

#polynomial-kernel

5 questions from Support Vector Machines, Learning Theory

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Question 1: Short answer

mediumAI-checkedSupport Vector Machines

An SVM uses the kernel $K(\mathbf{u}, \mathbf{v}) = (1 + \mathbf{u} \cdot \mathbf{v})^2$ . Its support vectors are $(-1, 2)$ with label $+1$ and $(1, 2)$ with label $-1$ , both with $\alpha = 0.05$ , and $b = 0$ . What does $h(\mathbf{x}) = \sum_i \alpha_i y_i K(\mathbf{x}_i, \mathbf{x}) + b$ output for $\mathbf{x} = (1, 3)$ ?

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