Covering numbers, Vapnik-ervonenkis classes and bounds for the star-discrepancy

نویسنده

  • Aicke Hinrichs
چکیده

We show new lower bounds for the star-discrepancy and its inverse for subsets of the unit cube. They are polynomial in the quotient d/n of the number n of sample points and the dimension d. They provide the best known lower bounds for n not too large compared with d.

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عنوان ژورنال:
  • J. Complexity

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2004