Papers › Multinomial belief networks for healthcare data

Multinomial belief networks for healthcare data

28 Nov 2023arXiv:2311.16909archive 2025-07-28

H. C. Donker, D. Neijzen, J. de Jong, G. A. Lunter

Healthcare data from patient or population cohorts are often characterized by sparsity, high missingness and relatively small sample sizes. In addition, being able to quantify uncertainty is often important in a medical context. To address these analytical requirements we propose a deep generative Bayesian model for multinomial count data. We develop a collapsed Gibbs sampling procedure that takes advantage of a series of augmentation relations, inspired by the Zhoux2013Congx2013Chen model. We visualise the model's ability to identify coherent substructures in the data using a dataset of handwritten digits. We then apply it to a large experimental dataset of DNA mutations in cancer and show that we can identify biologically meaningful clusters of mutational signatures in a fully data-driven way.

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