Identifying interacting pairs of sites in Ising models on a countable set

Autor(es)

Galves, Antonio ^[1] ; Orlandi, Enza ^[2] ; Takahashi, Daniel Y. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05315970 Sao Paulo - Brazil

^[2] Univ Rome Tre, Dipartimento Matemat, I-00146 Rome - Italy

^[3] Princeton Univ, Inst Neurosci, Princeton, NJ 08648 - USA

• Tipo de documento: Artigo Científico
• Fonte: BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS; v. 29, n. 2, p. 443-459, MAY 2015.
• Citações Web of Science: 2

Resumo

This paper address the problem of identifying pairs of interacting sites from a finite sample of independent realizations of the Ising model. We consider Ising models in a infinite countable set of sites under Dobrushin uniqueness condition. The observed sample contains only the values assigned by the Ising model to a finite set of sites. Our main result is an upperbound for the probability of misidentification of the pairs of interacting sites in this finite set. (AU)

• Processo FAPESP: 08/08171-0 - Modelagem de populações de neurônios por sistemas markovianos de muitos componentes com interações de alcance variável
• Beneficiário: Daniel Yasumasa Takahashi
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado