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#dual-form

3 questions from Support Vector Machines, Neural Network Basics

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3 questions · 3 min · score and explanations at the end

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Question 1: Short answer

mediumAI-checkedSupport Vector Machines

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

a decimal, e.g. 0.75