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Generalized Poisson Dynamic Network Models

广义泊松动态网络模型

Count-weighted temporal networks often exhibit unequal dispersion in the edge weights, which cannot be fully explained by modelling observational heterogeneity through latent factors in the conditional mean. Therefore, we propose new dynamic network model classes exploiting the Generalized Poisson distribution to capture both under- and overdispersion. We consider three different dynamic specifications: latent factor dynamics, autoregressive dynamics, and latent position…

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Bayesian Outlier Detection for Matrix-variate Models

矩阵变元模型的贝叶斯异常值检测

Anomalies in economic and financial data -- often linked to rare yet impactful events -- are of theoretical interest, but can also severely distort inference. Although outlier-robust methodologies can be used, many researchers prefer pre-processing strategies that remove outliers. In this work, an efficient sequential Bayesian framework is proposed for outlier detection based on the predictive Bayes Factor (BF). The proposed method is specifically designed for large,…

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Comment on 'Sparse Bayesian Factor Analysis when the Number of Factors is Unknown' by S. Frühwirth-Schnatter, D. Hosszejni, and H. Freitas Lopes

评《因子数未知时的稀疏贝叶斯因子分析》:网络潜在空间模型的应用

The techniques suggested in Frühwirth-Schnatter et al. (2024) concern sparsity and factor selection and have enormous potential beyond standard factor analysis applications. We show how these techniques can be applied to Latent Space (LS) models for network data. These models suffer from well-known identification issues of the latent factors due to likelihood invariance to factor translation, reflection, and rotation (see Hoff et al., 2002). A set of observables can be…

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