The cut metric for probability distributions

Max Hahn-Klimroth
Max Hahn-Klimroth

arXiv: Combinatorics, 2019.

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Abstract:

Guided by the theory of graph limits, we investigate a variant of the cut metric for limit objects of sequences of discrete probability distributions. Apart from establishing basic results, we introduce a natural operation called {\em pinning} on the space of limit objects and show how this operation yields a canonical cut metric approx...More

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