Leanability with VC-dimensions
نویسنده
چکیده
By the above definitions we know, ΠF (n) ≤ |F| ΠF (n) ≤ |2| Definition 1.2 (Shattering). A hypothesis class F shatters a finite set S ⊂ X , iff |SF (S)| = 2|S| In an informal language, shattering means that you have to be able to separate all +/labelings of the same set of points, given the function class. We want to bound Rademacher average using a function of VC-dimension. Lemma 1.1. Let F be a class of functions defined on X to {+1,−1}, then,
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