Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
403356 | Journal of Symbolic Computation | 2008 | 17 Pages |
Abstract
We define the largest group of invariance for a given toric ideal and the associated Markov bases. Reduction by invariance leads to a concise description of an invariant Markov basis and a sampling scheme in terms of the group and a list of representative elements from the orbits of the Markov basis. We also give explicit forms of the largest group of invariance for several standard statistical problems.
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