Why in the theory of support vector machines, the points from the training set which lie on the margin of the maximum-margin hyperplane are called the support vectors? They are points, aren’t they?
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Why in the theory of support vector machines, the points from the training set which lie on the margin of the maximum-margin hyperplane are called the support vectors? They are points, aren’t they?
In this situation, points and vectors are really the same thing.
Given some fixed origin, each point in space can be described by a vector, and conversely, every vector defines a point in space.
EDIT (based on comment):
The hyperplane is chosen so that it best separates the two classes. It only depends on the vectors nearest the hyperplane – these are called the “support” vectors. The picture on the wikipedia page clasifies this.