Factoring Multidimensional Data to Create a Sophisticated Bayes Classifier
Machine Learning
2021-05-19 v2 Data Analysis, Statistics and Probability
Machine Learning
Abstract
In this paper we derive an explicit formula for calculating the marginal likelihood of a given factorization of a categorical dataset. Since the marginal likelihood is proportional to the posterior probability of the factorization, these likelihoods can be used to order all possible factorizations and select the "best" way to factor the overall distribution from which the dataset is drawn. The best factorization can then be used to construct a Bayes classifier which benefits from factoring out mutually independent sets of variables.
Cite
@article{arxiv.2105.05181,
title = {Factoring Multidimensional Data to Create a Sophisticated Bayes Classifier},
author = {Anthony LaTorre},
journal= {arXiv preprint arXiv:2105.05181},
year = {2021}
}