Train_naiveBayes: Train_naiveBayes

In PDEnaiveBayes: Plausible Naive Bayes Classifier Using PDE

Train_naiveBayes

Description

Trains a Pareto Density estimated naive Bayes model (PDENB).

Usage

Train_naiveBayes(Data,Cls,Predict=TRUE,Priors,...)

Arguments

Data	[1:n,1:d] matrix of training data. It consists of n cases of d-dimensional data points. Every case hasd attributes, variables or features.
Cls	[1:n] numerical vector with n numbers defining the classification. It has k unique numbers representing the arbitrary labels of the classification.
Predict	Optional, boolean to decide extent of output. In case of TRUE, yields ClsTrain and Posteriors, else it yields only Model and Thetas. Note: Only if Predict is set to TRUE, parameter EvalPlausible can be set true!
Priors	Optional, [1:k] numerical vector defining the prior probabilities of the k classes. If missing, estimated from Cls.
...	Gaussian: Optional: Default=TRUE). Assume gaussian distribution. Plausible: (Optional: TRUE: uses plausble bayesian theorem, FALSE non-plausible bayesian theorem. Type: (Optional: default=1, 1 = original PDE, 2 = R native density estimation. Threshold: Threshold for which the standard deviation cannot be smaller (default =1e-12). PlotIt: Optional: Default=FALSE, TRUE: Plots Likelihoods. PlotCutOff: Optional: Scalar indicating how many features (starting from 1) should be plotted, or a numerical vector specifying the indices of the features to plot. Note: In the second case, avoid selecting too many features, as this may cause the plot to fail. ParetoRadiusPerFeauture: Optional [1:d] numerical vector for pareto radii computed priorly, see ParetoRadius or {ParetoRadius_fast} cl: Optional: a cluster object, created by parallel, if given and ParetoRadiusPerFeauture missing, then ParetoRadiusPerFeauture is compputed multicore otherwise single core Robust: Optional: Default=FALSE, TRUE: robust estimation of mean and std in case of Gaussian=TRUE. GlobalPR: Optional: Default=TRUE, FALSE: estimation of pareto radius for each class individually.

Details

Precomputation of ParetoRadiusPerFeauture can be usefull to make cross-validation faster although it should be only done on the training data.

If Plausible is not given, both options are evalauted using shannon information.

c_Kernels_list and ListOfLikelihoods have d elements each storing a matrix [1:m,1:k], usually m!=n. In contrast to DataLikelihoodsPerClass in which by interpolation the matrix are of size [1:n,1:k]

Value

Model	List of model parameters and results.
c_Kernels_list	List of matrices, where each matrix represent the kernels of one feature for all classes.
ListOfLikelihoods	List of matrices, where each matrix represent the likelihood of one feature for all classes.
PDFs_funs	Nested list of depth 1, where the first index assigns the feature index and the second index assigns the class. The elements are functions for the density estimation for each feature and each class.
ParetoRadiusPerFeauture	Numeric vector which stores the pareto radius for each feature.
Theta	Parameters mean and standard deviation of the Gaussian distributions per class and feaures.
Priors	Numeric vector which stores the prior probability of each class to appear.
PlausibleCenters	[1:k, 1:f] Numeric matrix which stores the centers for each feature and each class, where the row index assigns features and the column index assigns classes.
ClsTrain	[1:n] numerical vector with n numbers defining the classification. It has k unique numbers representing the arbitrary labels of the classification.
Posteriors	[1:n, 1:k] Numeric matrices with posterior probabilities.

Author(s)

Michael Thrun

See Also

Predict_naiveBayes

Examples

if(requireNamespace("FCPS")){
data(Hepta)
Data=Hepta$Data
Cls=Hepta$Cls

#non-parametric
V=Train_naiveBayes(Data,Cls,Gaussian=FALSE)
ClsTrain=V$ClsTrain
table(Cls,ClsTrain)
}

PDEnaiveBayes documentation built on Nov. 17, 2025, 5:07 p.m.