new_AddiVortesFit

A constructor for the AddiVortesFit class.

Implements the Bayesian Additive Voronoi Tessellation
model for non-parametric regression and machine learning as introduced
in Stone and Gosling (2025) <doi:10.1080/10618600.2024.2414104>.
This package provides a flexible alternative to BART (Bayesian Additive
Regression Trees) using Voronoi tessellations instead of trees. Users can
fit Bayesian regression models, estimate posterior distributions, and
visualise the resulting tessellations. It is particularly useful for spatial
data analysis, machine learning regression, complex function approximation
and Bayesian modeling where the underlying structure is unknown. The method
is well-suited to capturing spatial patterns and non-linear relationships.

John Paul Gosling

AddiVortes

(Bayesian) Additive Voronoi Tessellations

Adam Stone

new_AddiVortesFit function

<dl><dt>posteriorTess</dt>
<dd>A list of the posterior samples of the tessellations.</dd>
<dt>posteriorDim</dt>
<dd>A list of the posterior samples of the dimensions.</dd>
<dt>posteriorSigma</dt>
<dd>A list of the posterior samples of the error variance.</dd>
<dt>posteriorPred</dt>
<dd>A list of the posterior samples of the predictions.</dd>
<dt>xCentres</dt>
<dd>The centres of the covariates.</dd>
<dt>xRanges</dt>
<dd>The ranges of the covariates.</dd>
<dt>yCentre</dt>
<dd>The centre of the output values.</dd>
<dt>yRange</dt>
<dd>The range of the output values.</dd>
<dt>inSampleRmse</dt>
<dd>The in-sample RMSE.</dd></dl>

Arguments

Create an AddiVortesFit Object — new_AddiVortesFit

<dl>

<dt>posteriorTess</dt>
<dd>A list of the posterior samples of the tessellations.</dd>


<dt>posteriorDim</dt>
<dd>A list of the posterior samples of the dimensions.</dd>


<dt>posteriorSigma</dt>
<dd>A list of the posterior samples of the error variance.</dd>


<dt>posteriorPred</dt>
<dd>A list of the posterior samples of the predictions.</dd>


<dt>xCentres</dt>
<dd>The centres of the covariates.</dd>


<dt>xRanges</dt>
<dd>The ranges of the covariates.</dd>


<dt>yCentre</dt>
<dd>The centre of the output values.</dd>


<dt>yRange</dt>
<dd>The range of the output values.</dd>


<dt>inSampleRmse</dt>
<dd>The in-sample RMSE.</dd>

</dl>

new_AddiVortesFit: Create an AddiVortesFit Object

Description

Usage

Value

Arguments