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Counting with Combined Splitting and Capture-Recapture MethodsPaul DupuisBrown University Bahar Kaynaraffiliation not provided to SSRN Ad RidderVU University Amsterdam - Department of Econometrics and Operations Research; Tinbergen Institute - Tinbergen Institute Amsterdam (TIA) Reuven RubinsteinTechnion-Israel Institute of Technology - The William Davidson Faculty of Industrial Engineering & Management Radislav Vaismanaffiliation not provided to SSRN March 24, 2011 Tinbergen Institute 11-062/4 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.
Number of Pages in PDF File: 27 working papers seriesDate posted: April 12, 2011Suggested CitationContact Information
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