Adaptive Bayesian variable clustering via structural learning of breast cancer data. Issue 1 (15th November 2022)

• Record Type: Journal Article
• Authors: Ghosh, Riddhi Pratim; Maity, Arnab K.; Pourahmadi, Mohsen; Mallick, Bani K.
• Is Part Of: Genetic epidemiology. Volume 47:Issue 1(2023)
• Page Start: 95
• Page End: 104
• Publication Date: 2022-11-15
• Subjects: angular reparameterization -- Bayesian clustering -- pathways -- reversible jump Markov chain Monte Carlo; Genetic epidemiology -- Periodicals; Heredity -- Periodicals; Medical geography -- Periodicals; 614
• DOI: 10.1002/gepi.22507
• Languages: English
• ISSNs: 0741-0395

Abstract

Abstract: The clustering of proteins is of interest in cancer cell biology. This article proposes a hierarchical Bayesian model for protein (variable) clustering hinging on correlation structure. Starting from a multivariate normal likelihood, we enforce the clustering through prior modeling using angle‐based unconstrained reparameterization of correlations and assume a truncated Poisson distribution (to penalize a large number of clusters) as prior on the number of clusters. The posterior distributions of the parameters are not in explicit form and we use a reversible jump Markov chain Monte Carlo based technique is used to simulate the parameters from the posteriors. The end products of the proposed method are estimated cluster configuration of the proteins (variables) along with the number of clusters. The Bayesian method is flexible enough to cluster the proteins as well as estimate the number of clusters. The performance of the proposed method has been substantiated with extensive simulation studies and one protein expression data with a hereditary disposition in breast cancer where the proteins are coming from different pathways.