DeepAI

# Classifier Learning with Supervised Marginal Likelihood

It has been argued that in supervised classification tasks, in practice it may be more sensible to perform model selection with respect to some more focused model selection score, like the supervised (conditional) marginal likelihood, than with respect to the standard marginal likelihood criterion. However, for most Bayesian network models, computing the supervised marginal likelihood score takes exponential time with respect to the amount of observed data. In this paper, we consider diagnostic Bayesian network classifiers where the significant model parameters represent conditional distributions for the class variable, given the values of the predictor variables, in which case the supervised marginal likelihood can be computed in linear time with respect to the data. As the number of model parameters grows in this case exponentially with respect to the number of predictors, we focus on simple diagnostic models where the number of relevant predictors is small, and suggest two approaches for applying this type of models in classification. The first approach is based on mixtures of simple diagnostic models, while in the second approach we apply the small predictor sets of the simple diagnostic models for augmenting the Naive Bayes classifier.

• 4 publications
• 5 publications
• 3 publications
01/16/2013

### A Two-round Variant of EM for Gaussian Mixtures

Given a set of possible models (e.g., Bayesian network structures) and a...
01/23/2013

### On Supervised Selection of Bayesian Networks

Given a set of possible models (e.g., Bayesian network structures) and a...
12/12/2012

### Asymptotic Model Selection for Naive Bayesian Networks

We develop a closed form asymptotic formula to compute the marginal like...
10/19/2012

### Automated Analytic Asymptotic Evaluation of the Marginal Likelihood for Latent Models

We present and implement two algorithms for analytic asymptotic evaluati...
05/11/2021

### Factoring Multidimensional Data to Create a Sophisticated Bayes Classifier

In this paper we derive an explicit formula for calculating the marginal...
10/03/2016

### Data Integration with High Dimensionality

We consider a problem of data integration. Consider determining which ge...
05/24/2021

### Informative Bayesian model selection for RR Lyrae star classifiers

Machine learning has achieved an important role in the automatic classif...