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Normalization of Numeric Data

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The {normalize} R package offers convenient tools to normalize (centering to zero mean and scaling to unit variance) numeric data:

  1. works for vector, matrix, data.frame, and list objects

  2. can normalize by row or by column

  3. can ignore rows or columns when normalizing

  4. allows for joint normalizing of rows or columns

  5. provides the normalizing constants as attributes

Installation

You can install the released version from CRAN with:

install.packages("normalize")

Example

Can normalize a vector:

x <- 1:10
normalize(x)
#>  [1] -1.4863011 -1.1560120 -0.8257228 -0.4954337 -0.1651446  0.1651446
#>  [7]  0.4954337  0.8257228  1.1560120  1.4863011
#> attr(,"center")
#> [1] 5.5
#> attr(,"scale")
#> [1] 3.02765
normalize(x, center = FALSE)
#>  [1] 0.3302891 0.6605783 0.9908674 1.3211565 1.6514456 1.9817348 2.3120239
#>  [8] 2.6423130 2.9726022 3.3028913
#> attr(,"scale")
#> [1] 3.02765
normalize(x, scale = FALSE)
#>  [1] -4.5 -3.5 -2.5 -1.5 -0.5  0.5  1.5  2.5  3.5  4.5
#> attr(,"center")
#> [1] 5.5

Can normalize a matrix:

normalize(
  matrix(1:12, nrow = 3, ncol = 4),
  jointly = list(1:2, 3:4) # joint normalization of columns 1, 2 and 3, 4
)
#>      [,1] [,2] [,3] [,4]
#> [1,] -2.5  0.5 -2.5  0.5
#> [2,] -1.5  1.5 -1.5  1.5
#> [3,] -0.5  2.5 -0.5  2.5
#> attr(,"center")
#> [1] 3.5 3.5 9.5 9.5
#> attr(,"scale")
#> [1] 1 1 1 1

Can normalize a data.frame:

normalize(
  data.frame(a = 1:3, b = c("A", "B", "C"), c = 7:9, d = 10:12),
  ignore = 2 # ignore character column 2 for normalization
)
#>    a b  c  d
#> 1 -1 A -1 -1
#> 2  0 B  0  0
#> 3  1 C  1  1

Can work on a list:

normalize(list(1:5, diag(3), data.frame(1:3, 2:4)))
#> [[1]]
#> [1] -1.2649111 -0.6324555  0.0000000  0.6324555  1.2649111
#> attr(,"center")
#> [1] 3
#> attr(,"scale")
#> [1] 1.581139
#> 
#> [[2]]
#>            [,1]       [,2]       [,3]
#> [1,]  1.1547005 -0.5773503 -0.5773503
#> [2,] -0.5773503  1.1547005 -0.5773503
#> [3,] -0.5773503 -0.5773503  1.1547005
#> attr(,"center")
#> [1] 0.3333333 0.3333333 0.3333333
#> attr(,"scale")
#> [1] 0.5773503 0.5773503 0.5773503
#> 
#> [[3]]
#>   X1.3 X2.4
#> 1   -1   -1
#> 2    0    0
#> 3    1    1

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They may not be fully stable and should be used with caution. We make no claims about them.
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