GPoM (version 1.0)

findAllSets: findAllSets : find all potential systems (a set of equations) from a given ensemble of potential equations

Description

For each equation to be retrieved, an ensemble of potential formulation is given. For instance, three formulations are provided for equation (1), one for equation (2) and two for equation (3). In this case, six possible sets can be obtained from it. The aim of this program is to formulate all the potential systems from the provided formulation.

Usage

findAllSets(allFilt, nS = c(3), nPmin = 1, nPmax = 14)

Arguments

allFilt

A list with: - a matrix allFilt$Xi of possible formulations for each variable Xi - a vector allFilt$Npi providing the number of parameters of each formulation Xi

nS

A vector providing the number of dimensions that will be used for each input variables (see Examples 1 and 2). The dimension of the resulting model will be nVar = sum(nS).

nPmin

Corresponds to the minimum number of parameters (and thus of regressor) of the model

nPmax

Corresponds to the maximum number of parameters (and thus of regressor) of the model

Examples

# NOT RUN {
#############
# Example 1 #
#############
allFilt <- list()
allFilt$Np1 <- 1         # only one formulation with one single parameter
allFilt$Np2 <- c(3, 4)   # two potential formulations, one with respectively
# three and four parameters
allFilt$Np3 <- c(2, 4)   # two potential formulations, one with respectively
# two and four parameters
# formulations for variables Xi:
allFilt$X1 <- t(as.matrix(c(0,0,0,1,0,0,0,0,0,0)))
allFilt$X2 <- t(matrix(c(0,-0.85,0,-0.27,0,0,0,0.46,0,0,
                         0,-0.64,0,0,0,0,0,0.43,0,0),
                       ncol=2, nrow=10))
allFilt$X3 <- t(matrix(c(0, 0.52,  0, -1.22e-05,  0, 0, 0.99, 5.38e-05, 0, 0,
                         0, 0.52, 0, 0, 0, 0, 0.99, 0, 0, 0),
                       ncol=2, nrow=10))
findAllSets(allFilt, nS=c(3), nPmin=1, nPmax=14)

# }