Задание №1: Установить пакет CARET, выполнить команду names(getModelInfo()), ознакомиться со списком доступных методов выбора признаков. Выполните графический разведочный анализ данных с использование функции featurePlot() для набора данных из справочного файла пакета CARET:

x <- matrix(rnorm(50*5),ncol=5)

y <- factor(rep(c(“A”, “B”), 25))

Сохранить полученные графики в *.jpg файлы. Сделать выводы.

Подключим необходимые пакеты.

library(ggplot2)
## Warning: пакет 'ggplot2' был собран под R версии 4.4.3
library(caret)
## Warning: пакет 'caret' был собран под R версии 4.4.3
## Загрузка требуемого пакета: lattice

Теперь ознакомимся со списком доступных методов:

names(getModelInfo())
##   [1] "ada"                 "AdaBag"              "AdaBoost.M1"        
##   [4] "adaboost"            "amdai"               "ANFIS"              
##   [7] "avNNet"              "awnb"                "awtan"              
##  [10] "bag"                 "bagEarth"            "bagEarthGCV"        
##  [13] "bagFDA"              "bagFDAGCV"           "bam"                
##  [16] "bartMachine"         "bayesglm"            "binda"              
##  [19] "blackboost"          "blasso"              "blassoAveraged"     
##  [22] "bridge"              "brnn"                "BstLm"              
##  [25] "bstSm"               "bstTree"             "C5.0"               
##  [28] "C5.0Cost"            "C5.0Rules"           "C5.0Tree"           
##  [31] "cforest"             "chaid"               "CSimca"             
##  [34] "ctree"               "ctree2"              "cubist"             
##  [37] "dda"                 "deepboost"           "DENFIS"             
##  [40] "dnn"                 "dwdLinear"           "dwdPoly"            
##  [43] "dwdRadial"           "earth"               "elm"                
##  [46] "enet"                "evtree"              "extraTrees"         
##  [49] "fda"                 "FH.GBML"             "FIR.DM"             
##  [52] "foba"                "FRBCS.CHI"           "FRBCS.W"            
##  [55] "FS.HGD"              "gam"                 "gamboost"           
##  [58] "gamLoess"            "gamSpline"           "gaussprLinear"      
##  [61] "gaussprPoly"         "gaussprRadial"       "gbm_h2o"            
##  [64] "gbm"                 "gcvEarth"            "GFS.FR.MOGUL"       
##  [67] "GFS.LT.RS"           "GFS.THRIFT"          "glm.nb"             
##  [70] "glm"                 "glmboost"            "glmnet_h2o"         
##  [73] "glmnet"              "glmStepAIC"          "gpls"               
##  [76] "hda"                 "hdda"                "hdrda"              
##  [79] "HYFIS"               "icr"                 "J48"                
##  [82] "JRip"                "kernelpls"           "kknn"               
##  [85] "knn"                 "krlsPoly"            "krlsRadial"         
##  [88] "lars"                "lars2"               "lasso"              
##  [91] "lda"                 "lda2"                "leapBackward"       
##  [94] "leapForward"         "leapSeq"             "Linda"              
##  [97] "lm"                  "lmStepAIC"           "LMT"                
## [100] "loclda"              "logicBag"            "LogitBoost"         
## [103] "logreg"              "lssvmLinear"         "lssvmPoly"          
## [106] "lssvmRadial"         "lvq"                 "M5"                 
## [109] "M5Rules"             "manb"                "mda"                
## [112] "Mlda"                "mlp"                 "mlpKerasDecay"      
## [115] "mlpKerasDecayCost"   "mlpKerasDropout"     "mlpKerasDropoutCost"
## [118] "mlpML"               "mlpSGD"              "mlpWeightDecay"     
## [121] "mlpWeightDecayML"    "monmlp"              "msaenet"            
## [124] "multinom"            "mxnet"               "mxnetAdam"          
## [127] "naive_bayes"         "nb"                  "nbDiscrete"         
## [130] "nbSearch"            "neuralnet"           "nnet"               
## [133] "nnls"                "nodeHarvest"         "null"               
## [136] "OneR"                "ordinalNet"          "ordinalRF"          
## [139] "ORFlog"              "ORFpls"              "ORFridge"           
## [142] "ORFsvm"              "ownn"                "pam"                
## [145] "parRF"               "PART"                "partDSA"            
## [148] "pcaNNet"             "pcr"                 "pda"                
## [151] "pda2"                "penalized"           "PenalizedLDA"       
## [154] "plr"                 "pls"                 "plsRglm"            
## [157] "polr"                "ppr"                 "pre"                
## [160] "PRIM"                "protoclass"          "qda"                
## [163] "QdaCov"              "qrf"                 "qrnn"               
## [166] "randomGLM"           "ranger"              "rbf"                
## [169] "rbfDDA"              "Rborist"             "rda"                
## [172] "regLogistic"         "relaxo"              "rf"                 
## [175] "rFerns"              "RFlda"               "rfRules"            
## [178] "ridge"               "rlda"                "rlm"                
## [181] "rmda"                "rocc"                "rotationForest"     
## [184] "rotationForestCp"    "rpart"               "rpart1SE"           
## [187] "rpart2"              "rpartCost"           "rpartScore"         
## [190] "rqlasso"             "rqnc"                "RRF"                
## [193] "RRFglobal"           "rrlda"               "RSimca"             
## [196] "rvmLinear"           "rvmPoly"             "rvmRadial"          
## [199] "SBC"                 "sda"                 "sdwd"               
## [202] "simpls"              "SLAVE"               "slda"               
## [205] "smda"                "snn"                 "sparseLDA"          
## [208] "spikeslab"           "spls"                "stepLDA"            
## [211] "stepQDA"             "superpc"             "svmBoundrangeString"
## [214] "svmExpoString"       "svmLinear"           "svmLinear2"         
## [217] "svmLinear3"          "svmLinearWeights"    "svmLinearWeights2"  
## [220] "svmPoly"             "svmRadial"           "svmRadialCost"      
## [223] "svmRadialSigma"      "svmRadialWeights"    "svmSpectrumString"  
## [226] "tan"                 "tanSearch"           "treebag"            
## [229] "vbmpRadial"          "vglmAdjCat"          "vglmContRatio"      
## [232] "vglmCumulative"      "widekernelpls"       "WM"                 
## [235] "wsrf"                "xgbDART"             "xgbLinear"          
## [238] "xgbTree"             "xyf"

Сгенерируем данные

# Генерация данных
set.seed(123)
x <- matrix(rnorm(50*5), ncol=5)
y <- factor(rep(c("A", "B"), 25))
df <- data.frame(x, y)

# Графический анализ данных
featurePlot(x = df[, 1:5], y = df$y, plot = "box")

Вывод: Значения распределены в промежутке между -1 и 1. Разброс данных в обоих классах примерно одинаковый.

Чтобы сохранить полученные графики необходимо прописать следующее:

featurePlot(x, y, plot = “box”) # Боксплот

ggsave(“feature_plot_box.jpg”) # Сохранение графика

featurePlot(x, y, plot = “density”) # График плотности

ggsave(“feature_plot_density.jpg”) # Сохранение

Задание №2: С использование функций из пакета Fselector [2] определить важность признаков для решения задачи классификации. Использовать набор data(iris)

# Построение матрицы диаграмм рассеяния с цветовой маркировкой классов
pairs(iris[, 1:4], col = iris[, 5], oma = c(4, 4, 6, 12))

# Добавление легенды
par(xpd = TRUE)
legend(0.85, 0.6, legend = as.vector(unique(iris$Species)), fill = c(1, 2, 3))

Вывод: Признаки Sepal.Length и Sepal.Width не являются важными для решения задачи.

Задание №3: С использованием функции discretize() из пакета arules выполните преобразование непрерывной переменной в категориальную [3] различными методами: «interval» (равная ширина интервала), «frequency» (равная частота), «cluster» (кластеризация) и «fixed» (категории задают границы интервалов). Используйте набор данных iris. Сделайте выводы

Подключим необходимый пакет:

library(arules)
## Warning: пакет 'arules' был собран под R версии 4.4.3
## Загрузка требуемого пакета: Matrix
## 
## Присоединяю пакет: 'arules'
## Следующие объекты скрыты от 'package:base':
## 
##     abbreviate, write

Метод равных интервалов (“interval”)

Разбивает диапазон данных на интервалы одинаковой длины. Недостаток метода проявляется, если данные распределены неравномерно — тогда некоторые интервалы могут содержать очень мало наблюдений.

# Дискретизация переменной Sepal.Length методом "interval" (равные интервалы)
iris_discrete <- discretize(iris$Sepal.Length, method = "interval", categories = 3)
## Warning in discretize(iris$Sepal.Length, method = "interval", categories = 3):
## Parameter categories is deprecated. Use breaks instead! Also, the default
## method is now frequency!
# Вывод 
print(iris_discrete)
##   [1] [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5)
##   [8] [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5)
##  [15] [5.5,6.7) [5.5,6.7) [4.3,5.5) [4.3,5.5) [5.5,6.7) [4.3,5.5) [4.3,5.5)
##  [22] [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5)
##  [29] [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [5.5,6.7) [4.3,5.5)
##  [36] [4.3,5.5) [5.5,6.7) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5)
##  [43] [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5) [4.3,5.5)
##  [50] [4.3,5.5) [6.7,7.9] [5.5,6.7) [6.7,7.9] [5.5,6.7) [5.5,6.7) [5.5,6.7)
##  [57] [5.5,6.7) [4.3,5.5) [5.5,6.7) [4.3,5.5) [4.3,5.5) [5.5,6.7) [5.5,6.7)
##  [64] [5.5,6.7) [5.5,6.7) [6.7,7.9] [5.5,6.7) [5.5,6.7) [5.5,6.7) [5.5,6.7)
##  [71] [5.5,6.7) [5.5,6.7) [5.5,6.7) [5.5,6.7) [5.5,6.7) [5.5,6.7) [6.7,7.9]
##  [78] [6.7,7.9] [5.5,6.7) [5.5,6.7) [5.5,6.7) [5.5,6.7) [5.5,6.7) [5.5,6.7)
##  [85] [4.3,5.5) [5.5,6.7) [6.7,7.9] [5.5,6.7) [5.5,6.7) [5.5,6.7) [5.5,6.7)
##  [92] [5.5,6.7) [5.5,6.7) [4.3,5.5) [5.5,6.7) [5.5,6.7) [5.5,6.7) [5.5,6.7)
##  [99] [4.3,5.5) [5.5,6.7) [5.5,6.7) [5.5,6.7) [6.7,7.9] [5.5,6.7) [5.5,6.7)
## [106] [6.7,7.9] [4.3,5.5) [6.7,7.9] [6.7,7.9] [6.7,7.9] [5.5,6.7) [5.5,6.7)
## [113] [6.7,7.9] [5.5,6.7) [5.5,6.7) [5.5,6.7) [5.5,6.7) [6.7,7.9] [6.7,7.9]
## [120] [5.5,6.7) [6.7,7.9] [5.5,6.7) [6.7,7.9] [5.5,6.7) [6.7,7.9] [6.7,7.9]
## [127] [5.5,6.7) [5.5,6.7) [5.5,6.7) [6.7,7.9] [6.7,7.9] [6.7,7.9] [5.5,6.7)
## [134] [5.5,6.7) [5.5,6.7) [6.7,7.9] [5.5,6.7) [5.5,6.7) [5.5,6.7) [6.7,7.9]
## [141] [6.7,7.9] [6.7,7.9] [5.5,6.7) [6.7,7.9] [6.7,7.9] [6.7,7.9] [5.5,6.7)
## [148] [5.5,6.7) [5.5,6.7) [5.5,6.7)
## attr(,"discretized:breaks")
## [1] 4.3 5.5 6.7 7.9
## attr(,"discretized:method")
## [1] interval
## Levels: [4.3,5.5) [5.5,6.7) [6.7,7.9]

Метод фиксированных границ интервалов (“fixed”)

Границы категорий задаются вручную. Этот подход удобен, если заранее известны значимые пороги для группировки данных.

# Дискретизация переменной Sepal.Length методом "fixed" (равная частота)
iris_discrete <- discretize(iris$Sepal.Length, method = "fixed", categories = c(4.5, 5.5, 6.5))
## Warning in discretize(iris$Sepal.Length, method = "fixed", categories = c(4.5,
## : Parameter categories is deprecated. Use breaks instead! Also, the default
## method is now frequency!
# Вывод 
print(iris_discrete)
##   [1] [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5)
##   [8] [4.5,5.5) <NA>      [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5) <NA>     
##  [15] [5.5,6.5] [5.5,6.5] [4.5,5.5) [4.5,5.5) [5.5,6.5] [4.5,5.5) [4.5,5.5)
##  [22] [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5)
##  [29] [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5) [5.5,6.5] [4.5,5.5)
##  [36] [4.5,5.5) [5.5,6.5] [4.5,5.5) <NA>      [4.5,5.5) [4.5,5.5) [4.5,5.5)
##  [43] <NA>      [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5) [4.5,5.5)
##  [50] [4.5,5.5) <NA>      [5.5,6.5] <NA>      [5.5,6.5] [5.5,6.5] [5.5,6.5]
##  [57] [5.5,6.5] [4.5,5.5) <NA>      [4.5,5.5) [4.5,5.5) [5.5,6.5] [5.5,6.5]
##  [64] [5.5,6.5] [5.5,6.5] <NA>      [5.5,6.5] [5.5,6.5] [5.5,6.5] [5.5,6.5]
##  [71] [5.5,6.5] [5.5,6.5] [5.5,6.5] [5.5,6.5] [5.5,6.5] <NA>      <NA>     
##  [78] <NA>      [5.5,6.5] [5.5,6.5] [5.5,6.5] [5.5,6.5] [5.5,6.5] [5.5,6.5]
##  [85] [4.5,5.5) [5.5,6.5] <NA>      [5.5,6.5] [5.5,6.5] [5.5,6.5] [5.5,6.5]
##  [92] [5.5,6.5] [5.5,6.5] [4.5,5.5) [5.5,6.5] [5.5,6.5] [5.5,6.5] [5.5,6.5]
##  [99] [4.5,5.5) [5.5,6.5] [5.5,6.5] [5.5,6.5] <NA>      [5.5,6.5] [5.5,6.5]
## [106] <NA>      [4.5,5.5) <NA>      <NA>      <NA>      [5.5,6.5] [5.5,6.5]
## [113] <NA>      [5.5,6.5] [5.5,6.5] [5.5,6.5] [5.5,6.5] <NA>      <NA>     
## [120] [5.5,6.5] <NA>      [5.5,6.5] <NA>      [5.5,6.5] <NA>      <NA>     
## [127] [5.5,6.5] [5.5,6.5] [5.5,6.5] <NA>      <NA>      <NA>      [5.5,6.5]
## [134] [5.5,6.5] [5.5,6.5] <NA>      [5.5,6.5] [5.5,6.5] [5.5,6.5] <NA>     
## [141] <NA>      <NA>      [5.5,6.5] <NA>      <NA>      <NA>      [5.5,6.5]
## [148] [5.5,6.5] [5.5,6.5] [5.5,6.5]
## attr(,"discretized:breaks")
## [1] 4.5 5.5 6.5
## attr(,"discretized:method")
## [1] fixed
## Levels: [4.5,5.5) [5.5,6.5]

Метод равных частот (“frequency”)

Обеспечивает примерно одинаковое количество значений в каждой группе. Хорошо подходит для случаев, когда данные сконцентрированы в отдельных диапазонах.

# Дискретизация переменной Sepal.Length методом "frequency" (категории задают границы интервалов)
iris_discrete <- discretize(iris$Sepal.Length, method = "frequency", categories = 3)
## Warning in discretize(iris$Sepal.Length, method = "frequency", categories = 3):
## Parameter categories is deprecated. Use breaks instead! Also, the default
## method is now frequency!
# Вывод 
print(iris_discrete)
##   [1] [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4) [5.4,6.3) [4.3,5.4)
##   [8] [4.3,5.4) [4.3,5.4) [4.3,5.4) [5.4,6.3) [4.3,5.4) [4.3,5.4) [4.3,5.4)
##  [15] [5.4,6.3) [5.4,6.3) [5.4,6.3) [4.3,5.4) [5.4,6.3) [4.3,5.4) [5.4,6.3)
##  [22] [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4)
##  [29] [4.3,5.4) [4.3,5.4) [4.3,5.4) [5.4,6.3) [4.3,5.4) [5.4,6.3) [4.3,5.4)
##  [36] [4.3,5.4) [5.4,6.3) [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4)
##  [43] [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4) [4.3,5.4)
##  [50] [4.3,5.4) [6.3,7.9] [6.3,7.9] [6.3,7.9] [5.4,6.3) [6.3,7.9] [5.4,6.3)
##  [57] [6.3,7.9] [4.3,5.4) [6.3,7.9] [4.3,5.4) [4.3,5.4) [5.4,6.3) [5.4,6.3)
##  [64] [5.4,6.3) [5.4,6.3) [6.3,7.9] [5.4,6.3) [5.4,6.3) [5.4,6.3) [5.4,6.3)
##  [71] [5.4,6.3) [5.4,6.3) [6.3,7.9] [5.4,6.3) [6.3,7.9] [6.3,7.9] [6.3,7.9]
##  [78] [6.3,7.9] [5.4,6.3) [5.4,6.3) [5.4,6.3) [5.4,6.3) [5.4,6.3) [5.4,6.3)
##  [85] [5.4,6.3) [5.4,6.3) [6.3,7.9] [6.3,7.9] [5.4,6.3) [5.4,6.3) [5.4,6.3)
##  [92] [5.4,6.3) [5.4,6.3) [4.3,5.4) [5.4,6.3) [5.4,6.3) [5.4,6.3) [5.4,6.3)
##  [99] [4.3,5.4) [5.4,6.3) [6.3,7.9] [5.4,6.3) [6.3,7.9] [6.3,7.9] [6.3,7.9]
## [106] [6.3,7.9] [4.3,5.4) [6.3,7.9] [6.3,7.9] [6.3,7.9] [6.3,7.9] [6.3,7.9]
## [113] [6.3,7.9] [5.4,6.3) [5.4,6.3) [6.3,7.9] [6.3,7.9] [6.3,7.9] [6.3,7.9]
## [120] [5.4,6.3) [6.3,7.9] [5.4,6.3) [6.3,7.9] [6.3,7.9] [6.3,7.9] [6.3,7.9]
## [127] [5.4,6.3) [5.4,6.3) [6.3,7.9] [6.3,7.9] [6.3,7.9] [6.3,7.9] [6.3,7.9]
## [134] [6.3,7.9] [5.4,6.3) [6.3,7.9] [6.3,7.9] [6.3,7.9] [5.4,6.3) [6.3,7.9]
## [141] [6.3,7.9] [6.3,7.9] [5.4,6.3) [6.3,7.9] [6.3,7.9] [6.3,7.9] [6.3,7.9]
## [148] [6.3,7.9] [5.4,6.3) [5.4,6.3)
## attr(,"discretized:breaks")
## [1] 4.3 5.4 6.3 7.9
## attr(,"discretized:method")
## [1] frequency
## Levels: [4.3,5.4) [5.4,6.3) [6.3,7.9]

Метод кластерного анализа (“cluster”)

Применяет алгоритмы кластеризации для автоматического разделения данных. Хорошо адаптируется к структуре данных, но требует предварительного выбора количества кластеров.

# Дискретизация переменной Sepal.Length методом "cluster" (кластеризация)
iris_discrete <- discretize(iris$Sepal.Length, method = "cluster", categories = 3)
## Warning in discretize(iris$Sepal.Length, method = "cluster", categories = 3):
## Parameter categories is deprecated. Use breaks instead! Also, the default
## method is now frequency!
# Вывод 
print(iris_discrete)
##   [1] [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45) 
##   [7] [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45) 
##  [13] [4.3,5.45)  [4.3,5.45)  [5.45,6.46) [5.45,6.46) [4.3,5.45)  [4.3,5.45) 
##  [19] [5.45,6.46) [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45) 
##  [25] [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45) 
##  [31] [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [5.45,6.46) [4.3,5.45)  [4.3,5.45) 
##  [37] [5.45,6.46) [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45) 
##  [43] [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45)  [4.3,5.45) 
##  [49] [4.3,5.45)  [4.3,5.45)  [6.46,7.9]  [5.45,6.46) [6.46,7.9]  [5.45,6.46)
##  [55] [6.46,7.9]  [5.45,6.46) [5.45,6.46) [4.3,5.45)  [6.46,7.9]  [4.3,5.45) 
##  [61] [4.3,5.45)  [5.45,6.46) [5.45,6.46) [5.45,6.46) [5.45,6.46) [6.46,7.9] 
##  [67] [5.45,6.46) [5.45,6.46) [5.45,6.46) [5.45,6.46) [5.45,6.46) [5.45,6.46)
##  [73] [5.45,6.46) [5.45,6.46) [5.45,6.46) [6.46,7.9]  [6.46,7.9]  [6.46,7.9] 
##  [79] [5.45,6.46) [5.45,6.46) [5.45,6.46) [5.45,6.46) [5.45,6.46) [5.45,6.46)
##  [85] [4.3,5.45)  [5.45,6.46) [6.46,7.9]  [5.45,6.46) [5.45,6.46) [5.45,6.46)
##  [91] [5.45,6.46) [5.45,6.46) [5.45,6.46) [4.3,5.45)  [5.45,6.46) [5.45,6.46)
##  [97] [5.45,6.46) [5.45,6.46) [4.3,5.45)  [5.45,6.46) [5.45,6.46) [5.45,6.46)
## [103] [6.46,7.9]  [5.45,6.46) [6.46,7.9]  [6.46,7.9]  [4.3,5.45)  [6.46,7.9] 
## [109] [6.46,7.9]  [6.46,7.9]  [6.46,7.9]  [5.45,6.46) [6.46,7.9]  [5.45,6.46)
## [115] [5.45,6.46) [5.45,6.46) [6.46,7.9]  [6.46,7.9]  [6.46,7.9]  [5.45,6.46)
## [121] [6.46,7.9]  [5.45,6.46) [6.46,7.9]  [5.45,6.46) [6.46,7.9]  [6.46,7.9] 
## [127] [5.45,6.46) [5.45,6.46) [5.45,6.46) [6.46,7.9]  [6.46,7.9]  [6.46,7.9] 
## [133] [5.45,6.46) [5.45,6.46) [5.45,6.46) [6.46,7.9]  [5.45,6.46) [5.45,6.46)
## [139] [5.45,6.46) [6.46,7.9]  [6.46,7.9]  [6.46,7.9]  [5.45,6.46) [6.46,7.9] 
## [145] [6.46,7.9]  [6.46,7.9]  [5.45,6.46) [6.46,7.9]  [5.45,6.46) [5.45,6.46)
## attr(,"discretized:breaks")
## [1] 4.300000 5.452320 6.461111 7.900000
## attr(,"discretized:method")
## [1] cluster
## Levels: [4.3,5.45) [5.45,6.46) [6.46,7.9]

Вывод: Каждый метод группировки данных имеет свои преимущества в зависимости от поставленных задач: метод “frequency” обеспечивает сбалансированность категорий, “interval” подходит для равномерных распределений, “cluster” выявляет скрытые закономерности в сложно структурированных данных, а “fixed” позволяет задать точные границы категорий в соответствии с экспертными требованиями. Выбор конкретного подхода зависит от характера данных и целей анализа.

Задание №4: Установите пакет Boruta и проведите выбор признаков для набора данных data(“Ozone”) [4, 5, 6]. Построить график boxplot, сделать выводы.

library(Boruta)
## Warning: пакет 'Boruta' был собран под R версии 4.4.3
library(mlbench)
## Warning: пакет 'mlbench' был собран под R версии 4.4.3
data("Ozone", package = "mlbench")
# Выбор признаков для данных Ozone и вывод результатов
Ozone <- na.omit(Ozone)
boruta_result <- Boruta(V4 ~ ., data = Ozone, doTrace = 2)
##  1. run of importance source...
##  2. run of importance source...
##  3. run of importance source...
##  4. run of importance source...
##  5. run of importance source...
##  6. run of importance source...
##  7. run of importance source...
##  8. run of importance source...
##  9. run of importance source...
##  10. run of importance source...
##  11. run of importance source...
## After 11 iterations, +0.67 secs:
##  confirmed 9 attributes: V1, V10, V11, V12, V13 and 4 more;
##  rejected 1 attribute: V3;
##  still have 2 attributes left.
##  12. run of importance source...
##  13. run of importance source...
##  14. run of importance source...
##  15. run of importance source...
##  16. run of importance source...
##  17. run of importance source...
##  18. run of importance source...
##  19. run of importance source...
##  20. run of importance source...
##  21. run of importance source...
##  22. run of importance source...
##  23. run of importance source...
##  24. run of importance source...
## After 24 iterations, +1.4 secs:
##  rejected 1 attribute: V6;
##  still have 1 attribute left.
##  25. run of importance source...
##  26. run of importance source...
##  27. run of importance source...
##  28. run of importance source...
##  29. run of importance source...
##  30. run of importance source...
##  31. run of importance source...
##  32. run of importance source...
##  33. run of importance source...
##  34. run of importance source...
##  35. run of importance source...
##  36. run of importance source...
## After 36 iterations, +2.1 secs:
##  rejected 1 attribute: V2;
##  no more attributes left.
print(boruta_result)
## Boruta performed 36 iterations in 2.13576 secs.
##  9 attributes confirmed important: V1, V10, V11, V12, V13 and 4 more;
##  3 attributes confirmed unimportant: V2, V3, V6;
plot(boruta_result)

Вывод: Атрибуты расположены по важности в порядке возрастания.