IBM Data Science Practice Test 2026 – Comprehensive Exam Prep

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In the context of support vector machines, what is the margin?

The distance between the hyperplane and the farthest data point

The total length of all data points

The distance between the hyperplane and the closest data points from either class

The margin in the context of support vector machines (SVM) refers to the distance between the hyperplane and the closest data points from either class. This is critical because the goal of SVM is to find a hyperplane that maximizes this margin, which helps in achieving better generalization for the model. By maximizing the margin, SVM aims to minimize the classification error on unseen data.

The closest data points to the hyperplane are known as support vectors, and it is these points that define the margin. Therefore, the margin is determined by measuring how far these support vectors are from the hyperplane. A larger margin implies that the classifier is likely to be more robust against noise and variations in the data.

In contrast, the other choices do not accurately capture the definition of margin in SVM. The distance to the farthest data point would involve a different concept related to the overall distribution of the dataset without directly addressing the key principle of maximizing separation between classes. The total length of all data points does not relate to the margin at all and is not relevant in the context of SVM. Lastly, the width of the support vector itself is a misleading concept, since support vectors are specific data points and not a measurable width.

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The width of the support vector itself

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