Semi-continuous function versions of Urysohn Lemma
نویسندگان
چکیده
منابع مشابه
Constrained versions of Sauer's lemma
Let [n] = {1, . . . , n}. For a function h : [n] → {0, 1}, x ∈ [n] and y ∈ {0, 1} define by the width ωh(x, y) of h at x the largest non-negative integer a such that h(z) = y on x− a ≤ z ≤ x+ a. We consider finite VC-dimension classes of functions h constrained to have a width ωh(xi, yi) which is larger than N for all points in a sample ζ = {(xi, yi)}1 or a width no larger than N over the whole...
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ژورنال
عنوان ژورنال: Filomat
سال: 2012
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1206115x