topsa: Topological Sensitivity Analysis

In maikol-solis/TopSA: Topological Sensitivity Analysis

Description

Topological Sensitivity Analysis

Usage

topsa(Ydat, Xdat, threshold.radius = rep(0.05, ncol(Xdat)), method = "Alpha")

Arguments

Ydat	numeric vector of responses in a model.
Xdat	numeric matrix or data.frame of covariables.
threshold.radius	percent of radius or sizes of triangles to keep. the homology complex. Defaults to '0.05'. complex
method	type of method to build the homology complex. Two choices are accepted: Alpha o VR (Vietoris-Rips).

Value

A list of class topsa with the following elements:

call

The function call.

Xdat

X input.

Ydat

Y output.

dimension

dimension to estimate the homology order.

threshold

cutoff level for the radius or area.

results

A list for each variable with:

threshold

threshold used to limit the radius or area.

Manifold_Area

geometrical area of the estimated manifold.

Box.Area

geometrical area of the estimated manifold.

Geometric.R2

geometric correlation between each x and y.

Geometric.Sensitivity

symmetric sensitivity index of each estimated manifold.

manifold_plot

a sf object with the estimated manifold.

Examples

ishigami.fun <- function(X) {
A <- 7
B <- 0.1
sin(X[, 1]) + A * sin(X[, 2])^2 + B * X[, 3]^4 * sin(X[, 1])
}
X <- matrix(runif(3*50, -pi, pi), ncol = 3)
Y <- ishigami.fun(X)
estimation <- topsa(Ydat = Y, Xdat = X,method = "Alpha")

maikol-solis/TopSA documentation built on Sept. 24, 2020, 12:53 a.m.