closed_form_RNA: Closed-form prediction for RNAmf model

In RNAmf: Recursive Non-Additive Emulator for Multi-Fidelity Data

Closed-form prediction for RNAmf model

Description

The function computes the closed-form posterior mean and variance for the RNAmf model both at the fidelity levels used in model fitting using the chosen kernel.

Usage

closed_form_RNA(fits, x, kernel, XX = NULL, pseudo_yy = NULL)

Arguments

fits	A fitted GP object from RNAmf.
x	A vector or matrix of new input locations to predict.
kernel	A character specifying the kernel type to be used. Choices are "sqex"(squared exponential kernel), "matern1.5"(Matern kernel with \nu=1.5), or "matern2.5"(Matern kernel with \nu=2.5). Default is "sqex".
XX	A list containing a pseudo-complete inputs X_star(\left\{\mathcal{X}^*_l\right\}_{l=1}^{L}), an original inputs X_list(\left\{\mathcal{X}_l\right\}_{l=1}^{L}), and a pseudo inputs X_tilde(\left\{\widetilde{\mathcal{X}}_l\right\}_{l=1}^{L}) for non-nested design.
pseudo_yy	A list containing a pseudo-complete outputs y_star(\left\{\mathbf{y}^*_l\right\}_{l=1}^{L}), an original outputs y_list(\left\{\mathbf{y}_l\right\}_{l=1}^{L}), and a pseudo outputs y_tilde(\left\{\widetilde{\mathbf{y}}_l\right\}_{l=1}^{L}) imputed by imputer_RNA.

Value

A list of predictive posterior mean and variance for each level containing:

• mu: A list of predictive posterior mean at each fidelity level.

• sig2: A list of predictive posterior variance at each fidelity level.

RNAmf documentation built on May 5, 2026, 9:06 a.m.