check_basisfun_opts

Checks and completes the parameter list for a given basis function type.

internal

Provides tools for conditional and spatially dependent
density estimation using Spatial Logistic Gaussian Processes (SLGPs).
The approach represents probability densities through finite-rank
Gaussian process priors transformed via a spatial logistic density
transformation, enabling flexible non-parametric modeling of
heterogeneous data. Functionality includes density prediction,
quantile and moment estimation, sampling methods, and preprocessing
routines for basis functions. Applications arise in spatial statistics,
machine learning, and uncertainty quantification.
The methodology builds on the framework of Leonard (1978)
<doi:10.1111/j.2517-6161.1978.tb01655.x>, Lenk (1988) <doi:10.1080/01621459.1988.10478625>,
Tokdar (2007) <doi:10.1198/106186007X210206>, Tokdar (2010) <doi:10.1214/10-BA605>,
and is further aligned with recent developments
in Bayesian non-parametric modelling: see Gautier (2023) <https://boristheses.unibe.ch/4377/>,
and Gautier (2025) <doi:10.48550/arXiv.2110.02876>).

Athénaïs Gautier

SLGP

Spatial Logistic Gaussian Process for Field Density Estimation

check_basisfun_opts function

<dl><dt>basisFunctionsUsed</dt>
<dd>Character. Type of basis function to use.
One of: "inducing points", "RFF", "Discrete FF", "filling FF", "custom cosines".</dd>
<dt>dimension</dt>
<dd>Integer. The dimension of the input space (typically \([\mathbf{x}, t]\)).</dd>
<dt>opts_BasisFun</dt>
<dd>List. Options specific to the chosen basis function.
Users can refer to the documentation of specific basis function initialization functions
(e.g., <code>initialize_basisfun_inducingpt</code>, <code>initialize_basisfun_RFF</code>,
<code>initialize_basisfun_fillingRFF</code>, <code>initialize_basisfun_discreteFF</code>, etc.) for details on the available options.</dd></dl>

Arguments

Check basis function parameters — check_basisfun_opts

<dl>

<dt>basisFunctionsUsed</dt>
<dd>Character. Type of basis function to use.
One of: "inducing points", "RFF", "Discrete FF", "filling FF", "custom cosines".</dd>


<dt>dimension</dt>
<dd>Integer. The dimension of the input space (typically \([\mathbf{x}, t]\)).</dd>


<dt>opts_BasisFun</dt>
<dd>List. Options specific to the chosen basis function.
Users can refer to the documentation of specific basis function initialization functions
(e.g., <code>initialize_basisfun_inducingpt</code>, <code>initialize_basisfun_RFF</code>,
<code>initialize_basisfun_fillingRFF</code>, <code>initialize_basisfun_discreteFF</code>, etc.) for details on the available options.</dd>

</dl>

check_basisfun_opts: Check basis function parameters

Description

Usage

Value

Arguments