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### Paper:

TR18-145 | 13th August 2018 05:37

#### Fooling Polytopes

TR18-145
Authors: Ryan O'Donnell, Rocco Servedio, Li-Yang Tan
Publication: 19th August 2018 18:24
Downloads: 1007
Keywords:

Abstract:

We give a pseudorandom generator that fools $m$-facet polytopes over $\{0,1\}^n$ with seed length $\mathrm{polylog}(m) \cdot \log n$. The previous best seed length had superlinear dependence on $m$. An immediate consequence is a deterministic quasipolynomial time algorithm for approximating the number of solutions to any $\{0,1\}$-integer program.

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