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GATE DA 2024 Set 1 — Question 17

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MCQ+1 / -0.33MediumSVM TheorySupport Vector MachinesMachine Learning

Machine Learning → Support Vector Machines → SVM Theory

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Question

Consider the dataset with six datapoints: {(x1,y1),(x2,y2),…,(x6,y6)}\{(x_1, y_1), (x_2, y_2), \dots, (x_6, y_6)\}, where x1=[10]x_1 = \begin{bmatrix} 1 \\ 0 \end{bmatrix}, x2=[01]x_2 = \begin{bmatrix} 0 \\ 1 \end{bmatrix}, x3=[0−1]x_3 = \begin{bmatrix} 0 \\ -1 \end{bmatrix}, x4=[−10]x_4 = \begin{bmatrix} -1 \\ 0 \end{bmatrix}, x5=[22]x_5 = \begin{bmatrix} 2 \\ 2 \end{bmatrix}, x6=[−2−2]x_6 = \begin{bmatrix} -2 \\ -2 \end{bmatrix} and the labels are given by y1=y2=y5=1y_1 = y_2 = y_5 = 1, and y3=y4=y6=−1y_3 = y_4 = y_6 = -1. A hard margin linear support vector machine is trained on the above dataset.
Which ONE of the following sets is a possible set of support vectors?
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