Small contingency tables with large gaps

Mathematics – Optimization and Control

Scientific paper

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6 pages

Scientific paper

We construct examples of contingency tables on $n$ binary random variables
where the gap between the linear programming lower/upper bound and the true
integer lower/upper bounds on cell entries is exponentially large. These
examples provide evidence that linear programming may not be an effective
heuristic for detecting disclosures when releasing margins of multi-way tables.

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