What is shattering a set of points? Explain VC dimension.

Shattering a Set of Points and VC Dimension:

Shattering refers to the ability of a hypothesis class (e.g., a set of classifiers) to represent all possible labelings of a given set of points.

VC (Vapnik-Chervonenkis) dimension measures the capacity of a hypothesis class to shatter points. It's the maximum number of points that the class can shatter.