# InitializePopulationLHS: Initialize population with Latin Hypercube Sampling In MaOEA: Many Objective Evolutionary Algorithm

## Description

Create initial sample using Latin Hypercube Sampling (LHS) method. The variables will be ranged between 0-1

## Usage

 ```1 2 3 4 5 6 7``` ```InitializePopulationLHS( numberOfIndividuals, chromosomeLength, minVal = 0, maxVal = 1, samplingMethod = 0 ) ```

## Arguments

 `numberOfIndividuals` The number of individual in the population (ncol). Integer > 0. `chromosomeLength` The number of variables per individual (nrow) `minVal` Minimum value of the resulting sample `maxVal` Maximum value of the resulting sample `samplingMethod` Not used

## Value

A matrix of size chromosomeLength x nIndividual.

## Examples

 ```1 2 3``` ```nVar <- 14 nIndividual <- 100 InitializePopulationLHS(nIndividual,nVar,FALSE) ```

### Example output

```Check required python modules:
reticulate::py_module_available('numpy') and reticulate::py_module_available('pygmo').
If not available, try using MaOEA::install_python_dependencies()
or follow the instructions in https://esa.github.io/pagmo2/install.html
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[13,] 0.09096904 0.15658243 0.28706816 0.02657364 0.27010295 0.3543984
[14,] 0.80846903 0.35213364 0.07517302 0.25850596 0.10167539 0.7031675
[,85]      [,86]     [,87]      [,88]      [,89]       [,90]
[1,] 0.33554711 0.19997652 0.1659395 0.39832134 0.24192455 0.433657252
[2,] 0.43462726 0.81958855 0.3086947 0.80819984 0.63616446 0.448635596
[3,] 0.33141222 0.19346066 0.1821797 0.03171649 0.95260328 0.245494514
[4,] 0.77662572 0.76464658 0.8690708 0.14212425 0.31716470 0.330062383
[5,] 0.67382745 0.68414676 0.9654222 0.06105265 0.64183312 0.074238494
[6,] 0.80266880 0.04272031 0.7661687 0.43364925 0.88552577 0.284249355
[7,] 0.74012188 0.65719154 0.6894709 0.37285869 0.59181330 0.319758062
[8,] 0.79162770 0.72243669 0.0504974 0.50333480 0.16045749 0.005019419
[9,] 0.34106872 0.63990406 0.4039775 0.38236061 0.24380483 0.153613302
[10,] 0.76470287 0.37078489 0.8625830 0.35250447 0.38677305 0.094839388
[11,] 0.86602056 0.63661506 0.9348712 0.99178163 0.17630058 0.504430324
[12,] 0.01553071 0.43481891 0.5193821 0.24984217 0.89051169 0.123425544
[13,] 0.18679047 0.95704246 0.9874935 0.17433626 0.41089957 0.829964037
[14,] 0.64122409 0.16603021 0.8776052 0.27708096 0.04329726 0.111562276
[,91]      [,92]     [,93]      [,94]      [,95]      [,96]
[1,] 0.7857925 0.30541265 0.1537284 0.57180786 0.29825374 0.72310182
[2,] 0.5474405 0.57660586 0.6470027 0.83650618 0.66110848 0.69410999
[3,] 0.1012818 0.88722458 0.1689768 0.80071188 0.58200282 0.76670913
[4,] 0.5268066 0.81786398 0.1740878 0.63217430 0.65426389 0.64495202
[5,] 0.3278090 0.17417708 0.4987035 0.74369445 0.22383579 0.66868453
[6,] 0.7259131 0.54874649 0.1930491 0.70204091 0.91540901 0.20303309
[7,] 0.7568851 0.07888913 0.2311772 0.45247113 0.69475881 0.92240278
[8,] 0.4927032 0.41015673 0.7313160 0.82462914 0.03736149 0.71774833
[9,] 0.4760464 0.19410040 0.9853385 0.35443029 0.78467170 0.92359763
[10,] 0.9501555 0.32845491 0.3323633 0.48668779 0.24260881 0.23576146
[11,] 0.6549910 0.69104857 0.6051677 0.96515939 0.24642173 0.36681369
[12,] 0.8367075 0.31292946 0.3986808 0.67981024 0.15977938 0.57799858
[13,] 0.4862981 0.99312190 0.7903693 0.01732469 0.21375597 0.61915834
[14,] 0.4383218 0.67571750 0.8321320 0.20893919 0.76646254 0.01783796
[,97]      [,98]     [,99]     [,100]
[1,] 0.51664838 0.09521128 0.6978759 0.23958001
[2,] 0.10081694 0.59106243 0.6878322 0.76287650
[3,] 0.30446405 0.52190742 0.2182421 0.38626916
[4,] 0.03714960 0.45971298 0.4873046 0.26436288
[5,] 0.51306440 0.72718051 0.6278387 0.85411851
[6,] 0.42462127 0.25688023 0.4865718 0.90398903
[7,] 0.47097432 0.33885770 0.3585200 0.15268060
[8,] 0.60207183 0.45141008 0.5497795 0.51305814
[9,] 0.51427539 0.66060051 0.1450259 0.61069574
[10,] 0.18474907 0.06825718 0.9265634 0.29680418
[11,] 0.25849728 0.70599126 0.2949683 0.43982809
[12,] 0.02981407 0.84284728 0.7874757 0.03045148
[13,] 0.56804909 0.77974143 0.4739695 0.80671171
[14,] 0.82350833 0.52619141 0.4742813 0.54507887
```

MaOEA documentation built on Aug. 31, 2020, 5:07 p.m.