The largest group of invariance for Markov bases and toric ideals

• Autores: Satoshi Aoki, Akimichi Takemura
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 43, Nº 5, 2008, págs. 342-358
• Idioma: inglés
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• Resumen

  • 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.