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A Review of Bayesian Methods for Infinite Factorisations

Methodology 2023-09-25 v1

Abstract

Defining the number of latent factors has been one of the most challenging problems in factor analysis. Infinite factor models offer a solution to this problem by applying increasing shrinkage on the columns of factor loading matrices, thus penalising increasing factor dimensionality. The adaptive MCMC algorithms used for inference in such models allow to defer the dimension of the latent factor space automatically based on the data. This paper presents an overview of Bayesian models for infinite factorisations with some discussion on the properties of such models as well as their comparative advantages and drawbacks.

Keywords

Cite

@article{arxiv.2309.12990,
  title  = {A Review of Bayesian Methods for Infinite Factorisations},
  author = {Margarita Grushanina},
  journal= {arXiv preprint arXiv:2309.12990},
  year   = {2023}
}

Comments

20 pages

R2 v1 2026-06-28T12:29:40.525Z