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arXiv · 1103.6096

Counting with Combined Splitting and Capture-Recapture Methods

Paul Dupuis·Bahar Kaynar·Ad Ridder·Reuven Rubinstein·Radislav Vaisman
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Abstract

We apply the splitting method to three well-known counting problems, namely 3-SAT, random graphs with prescribed degrees, and binary contingency tables. We present an enhanced version of the splitting method based on the capture-recapture technique, and show by experiments the superiority of this technique for SAT problems in terms of variance of the associated estimators, and speed of the algorithms.

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Paul Dupuis, Bahar Kaynar, Ad Ridder, Reuven Rubinstein, Radislav Vaisman. 2011-03-31. Counting with Combined Splitting and Capture-Recapture Methods. https://arxiv.org/abs/1103.6096

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