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arXiv · 1802.03849

Large Deviations of Convex Polyominoes

Ilya Soloveychik·Vahid Tarokh
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Abstract

Enumeration of various types of lattice polygons and in particular polyominoes is of primary importance in many machine learning, pattern recognition, and geometric analysis problems. In this work, we develop a large deviation principle for convex polyominoes under different restrictions, such as fixed area and/or perimeter.

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Ilya Soloveychik, Vahid Tarokh. 2018-02-12. Large Deviations of Convex Polyominoes. https://arxiv.org/abs/1802.03849

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