Nous proposons dans ce travail une récurrence sur les lois marginales d'une distribution de Gibbs π. Une conséquence directe est le calcul exact de la constante de normalisation de π.
We present a recursive algorithm for the calculation of the marginal of a Gibbs distribution π. A direct consequence is the calculation of the normalizing constant of π.
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@article{CRMATH_2010__348_3-4_199_0, author = {Hardouin, C\'ecile and Guyon, Xavier}, title = {Exact marginals and normalizing constant for {Gibbs} distributions}, journal = {Comptes Rendus. Math\'ematique}, pages = {199--201}, publisher = {Elsevier}, volume = {348}, number = {3-4}, year = {2010}, doi = {10.1016/j.crma.2009.12.002}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2009.12.002/} }
TY - JOUR AU - Hardouin, Cécile AU - Guyon, Xavier TI - Exact marginals and normalizing constant for Gibbs distributions JO - Comptes Rendus. Mathématique PY - 2010 SP - 199 EP - 201 VL - 348 IS - 3-4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2009.12.002/ DO - 10.1016/j.crma.2009.12.002 LA - en ID - CRMATH_2010__348_3-4_199_0 ER -
%0 Journal Article %A Hardouin, Cécile %A Guyon, Xavier %T Exact marginals and normalizing constant for Gibbs distributions %J Comptes Rendus. Mathématique %D 2010 %P 199-201 %V 348 %N 3-4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2009.12.002/ %R 10.1016/j.crma.2009.12.002 %G en %F CRMATH_2010__348_3-4_199_0
Hardouin, Cécile; Guyon, Xavier. Exact marginals and normalizing constant for Gibbs distributions. Comptes Rendus. Mathématique, Tome 348 (2010) no. 3-4, pp. 199-201. doi : 10.1016/j.crma.2009.12.002. http://archive.numdam.org/articles/10.1016/j.crma.2009.12.002/
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