Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy |
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Authors: | Michael Gnewuch |
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Affiliation: | Institute of Computer Science, University of Kiel, Christian-Albrechts-Platz 4, 24098 Kiel, Germany |
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Abstract: | In the first part of this paper we derive lower bounds and constructive upper bounds for the bracketing numbers of anchored and unanchored axis-parallel boxes in the d-dimensional unit cube. |
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Keywords: | Bracketing Covering number Metric entropy Star discrepancy Extreme discrepancy |
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