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arXiv · 1705.08992

Matroids Hitting Sets and Unsupervised Dependency Grammar Induction

Nicholas Harvey·Vahab Mirrokni·David Karger·Virginia Savova·Leonid Peshkin
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Abstract

This paper formulates a novel problem on graphs: find the minimal subset of edges in a fully connected graph, such that the resulting graph contains all spanning trees for a set of specifed sub-graphs. This formulation is motivated by an un-supervised grammar induction problem from computational linguistics. We present a reduction to some known problems and algorithms from graph theory, provide computational complexity results, and describe an approximation algorithm.

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Nicholas Harvey, Vahab Mirrokni, David Karger, Virginia Savova, Leonid Peshkin. 2017-05-24. Matroids Hitting Sets and Unsupervised Dependency Grammar Induction. https://arxiv.org/abs/1705.08992

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