Efficient construction of a small hitting set for combinatorial rectangles in high dimension

Abstract
Given d, m and ffl, we deterministically producea sequence of points S that hits every combinatorialrectangle in [m]dof volume at least ffl.Both the running time of the algorithm and jSjare polynomial in m log(d)=ffl. This algorithmhas applications to deterministic constructionsof small sample spaces for general multivaluedrandom variables.1 IntroductionThe problem we consider in this paper is motivatedby the following basic witness findingproblem: design an efficient algorithm ...

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