SimpleSimulation {MRReg}

SimpleSimulation

Description

SimpleSimulation is a support function for generating multiresolution datasets.

All simulation types have three layers except the type 6 has four layers.

The type-1 simulation has all individuals belong to the same homogeneous partition in the first layer.

The type-2 simulation has four homogeneous partitions in a second layer. Each partition has its own models.

The type-3 simulation has eight homogeneous partitions in a third layer. Each partition has its own models

The type-4 simulation has one homogeneous partition in a second layer, four homogeneous partitions in a third layer, and eight homogeneous partitions in a fourth layer. Each partition has its own model.

The type-5 simulation is similar to type-4 simulation but Y=h(X) is an exponential function.

The type-6 simulation is similar to type-4 simulation but Y=h(X) is a polynomial function with degree parameter.

Usage

SimpleSimulation(indvN = 10000, type = 1, degree = 2)

Arguments

indvN

is a number of individuals per homogeneous partition.

type

is a type of simulation dataset. There are four types.

degree

is a degree parameter of a polynomial function for type-5 simulation

Value

The function returns a multiresolution dataset.

DataT$X[i, d]

is a value of feature d of individual i

DataT$Y[i]

is value of target variable of individual i that we want to fit DataT$Y ~ DataT$X in linear model

clsLayer[i, j]

is a cluster ID of individual i at layer j; clsLayer[i,1] is the first layer that everyone typically belongs to a single cluster.

DataT$TrueFeature[i]

is equal to d if a true feature is DataT$X[i,d-1] that DataT$Y[i] is dependent with. Note that d = 1 is reserved for the intercept value in a linear model.

Examples

# Running SimpleSimulation to generate a dataset.
DataT<-SimpleSimulation(100,type=1)