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Bayesian Sparse Covariance Structure Analysis for Correlated Count Data

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Advances in Parallel & Distributed Processing, and Applications

Abstract

In this paper, we propose a Bayesian Graphical Lasso for correlated countable data and apply it to spatial crime data. In the proposed model, we assume a Gaussian Graphical Model for the latent variables which dominate the potential risks of crimes. To evaluate the proposed model, we determine optimal hyperparameters which represent samples better. We apply the proposed model for estimation of the sparse inverse covariance of the latent variable and evaluate the partial correlation coefficients. Finally, we illustrate the results on crime spots data and consider the estimated latent variables and the partial correlation coefficients of the sparse inverse covariance.

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Correspondence to Hayaru Shouno .

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Ichigozaki, S., Kawashima, T., Shouno, H. (2021). Bayesian Sparse Covariance Structure Analysis for Correlated Count Data. In: Arabnia, H.R., et al. Advances in Parallel & Distributed Processing, and Applications. Transactions on Computational Science and Computational Intelligence. Springer, Cham. https://doi.org/10.1007/978-3-030-69984-0_57

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  • DOI: https://doi.org/10.1007/978-3-030-69984-0_57

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-69983-3

  • Online ISBN: 978-3-030-69984-0

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