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

DOI10.1214/14-BJPS279zbMath1316.60145arXiv1006.0272OpenAlexW2962983387WikidataQ98839741 ScholiaQ98839741MaRDI QIDQ2349053

Enza Orlandi, Daniel Y. Takahashi, Antonio Galves

Publication date: 16 June 2015

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0272

zbMATH Keywords

Ising modelDobrushin couplingneighborhood identification

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (6)

Estimating the interaction graph of stochastic neuronal dynamics by observing only pairs of neurons ⋮ Asymptotic normality of the maximum likelihood estimator for cooperative sequential adsorption ⋮ Structure recovery for partially observed discrete Markov random fields on graphs under not necessarily positive distributions ⋮ An oracle approach for interaction neighborhood estimation in random fields ⋮ Estimating the interaction graph of stochastic neural dynamics ⋮ Sharp oracle inequalities and slope heuristic for specification probabilities estimation in discrete random fields

Uses Software

• spatial

Cites Work

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• Neighborhood radius estimation for variable-neighborhood random fields
• Scaling limits in statistical mechanics and microstructures in continuum mechanics
• High-dimensional Ising model selection using \(\ell _{1}\)-regularized logistic regression
• An oracle approach for interaction neighborhood estimation in random fields
• Consistent estimation of the basic neighborhood of Markov random fields
• Reconstruction of Markov Random Fields from Samples: Some Observations and Algorithms
• Sharp oracle inequalities and slope heuristic for specification probabilities estimation in discrete random fields

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