Papers › Counting the number of group orbits by marrying the Burnside process with importance sampling
Counting the number of group orbits by marrying the Burnside process with importance sampling
Persi Diaconis, Chenyang Zhong
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This paper introduces a novel and general algorithm for approximately counting the number of orbits under group actions. The method is based on combining the Burnside process and importance sampling. Specializing to unitriangular groups yields an efficient algorithm for estimating the number of conjugacy classes of such groups.
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