Shattering - Definition: Encyclopedia - ShatteringThe concept of shattering of a set of points plays an important role in Vapnik Chervonenkis theory, also known as VC-theory. Shattering and VC-theory are used in the study of empirical processes as well as in statistical computational learning theory.
Shattering - Definition.
A class of sets, C, shatters a set A if and only if, for all there exists some such that , that is, if and only if
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