RKHS regression with Gaussian kernel

RKHS regression with Gaussian kernel

Usage

morie_rkhs_full(x, y, markers, h = NULL, lam = 1)

Arguments

x

Fixed-effect design.

y

Numeric response.

markers

Genotype matrix (n x m).

h

Kernel bandwidth (default median ||m_i - m_j||^2).

lam

Ridge regulariser on alpha (default 1).

Value

list(estimate, alpha, beta, K, f_hat, se, h, n, method).

References

Gianola & van Kaam (2008). Montesinos Lopez Ch 5.

Examples

morie_rkhs_full(x = rnorm(50), y = rnorm(50), markers = matrix(sample(0:2, 200, TRUE), 50, 4))
#> $estimate
#> [1] -0.01758139
#> 
#> $alpha
#>  [1] -0.10692788  0.75947283  0.36287984  1.36068922 -0.58514658  0.77479490
#>  [7] -0.24418820  1.47126434 -0.24500341  0.55529779  0.86979509  1.04875979
#> [13] -0.13323375 -0.12158936  1.34932907 -0.49387907 -1.16486640  0.88159686
#> [19] -0.66390235 -1.72195951 -0.21029742  0.42430035  0.33199630 -0.83628469
#> [25] -0.34791313 -0.45582014 -0.76426913 -0.08989912  0.65278750 -0.65423979
#> [31] -0.17307927 -1.98615399 -0.17033869 -0.38200854  1.13072893 -0.06301280
#> [37]  0.20781503  1.32547614  0.78687521  0.07906064  0.08586727 -1.17027138
#> [43] -0.25333634  0.49717889 -1.68365921 -0.68599587 -0.13833571  0.24559856
#> [49]  0.85965645  0.36346019
#> 
#> $beta
#>          X1          X2 
#> -0.11680409 -0.01195799 
#> 
#> $K
#>            [,1]       [,2]      [,3]       [,4]      [,5]       [,6]      [,7]
#>  [1,] 1.0000000 0.36787944 1.0000000 0.36787944 0.4493290 0.54881164 0.3678794
#>  [2,] 0.3678794 1.00000000 0.3678794 0.13533528 0.5488116 0.13533528 0.6703200
#>  [3,] 1.0000000 0.36787944 1.0000000 0.36787944 0.4493290 0.54881164 0.3678794
#>  [4,] 0.3678794 0.13533528 0.3678794 1.00000000 0.5488116 0.30119421 0.3011942
#>  [5,] 0.4493290 0.54881164 0.4493290 0.54881164 1.0000000 0.16529889 0.5488116
#>  [6,] 0.5488116 0.13533528 0.5488116 0.30119421 0.1652989 1.00000000 0.3011942
#>  [7,] 0.3678794 0.67032005 0.3678794 0.30119421 0.5488116 0.30119421 1.0000000
#>  [8,] 0.1652989 0.30119421 0.1652989 0.44932896 0.5488116 0.13533528 0.6703200
#>  [9,] 0.3678794 0.13533528 0.3678794 1.00000000 0.5488116 0.30119421 0.3011942
#> [10,] 0.6703200 0.36787944 0.6703200 0.36787944 0.6703200 0.16529889 0.2465970
#> [11,] 0.5488116 0.30119421 0.5488116 0.13533528 0.1652989 0.67032005 0.4493290
#> [12,] 0.1652989 0.30119421 0.1652989 0.44932896 0.5488116 0.13533528 0.6703200
#> [13,] 0.2465970 0.30119421 0.2465970 0.13533528 0.1652989 0.44932896 0.6703200
#> [14,] 0.4493290 0.24659696 0.4493290 0.24659696 0.2018965 0.81873075 0.5488116
#> [15,] 0.1353353 0.16529889 0.1353353 0.16529889 0.1353353 0.36787944 0.5488116
#> [16,] 0.3011942 0.24659696 0.3011942 0.81873075 0.6703200 0.24659696 0.5488116
#> [17,] 0.1353353 0.36787944 0.1353353 0.36787944 0.6703200 0.07427358 0.5488116
#> [18,] 0.5488116 0.13533528 0.5488116 0.30119421 0.1652989 1.00000000 0.3011942
#> [19,] 0.3011942 0.54881164 0.3011942 0.36787944 0.6703200 0.16529889 0.8187308
#> [20,] 0.4493290 0.24659696 0.4493290 0.24659696 0.2018965 0.81873075 0.5488116
#> [21,] 0.6703200 0.24659696 0.6703200 0.36787944 0.3011942 0.81873075 0.3678794
#> [22,] 0.1652989 0.44932896 0.1652989 0.30119421 0.5488116 0.13533528 0.6703200
#> [23,] 0.5488116 0.30119421 0.5488116 0.30119421 0.3678794 0.30119421 0.4493290
#> [24,] 0.6703200 0.16529889 0.6703200 0.54881164 0.3011942 0.81873075 0.3678794
#> [25,] 0.3011942 0.24659696 0.3011942 0.36787944 0.3011942 0.54881164 0.5488116
#> [26,] 0.5488116 0.67032005 0.5488116 0.13533528 0.3678794 0.30119421 0.4493290
#> [27,] 0.3011942 0.54881164 0.3011942 0.36787944 0.6703200 0.16529889 0.8187308
#> [28,] 0.4493290 0.54881164 0.4493290 0.24659696 0.4493290 0.36787944 0.5488116
#> [29,] 0.3011942 0.16529889 0.3011942 0.81873075 0.6703200 0.16529889 0.2465970
#> [30,] 0.3011942 0.36787944 0.3011942 0.07427358 0.1353353 0.36787944 0.5488116
#> [31,] 0.6703200 0.36787944 0.6703200 0.24659696 0.3011942 0.54881164 0.5488116
#> [32,] 0.5488116 0.30119421 0.5488116 0.13533528 0.1652989 0.67032005 0.4493290
#> [33,] 0.5488116 0.30119421 0.5488116 0.30119421 0.3678794 0.44932896 0.3011942
#> [34,] 0.8187308 0.30119421 0.8187308 0.44932896 0.5488116 0.30119421 0.3011942
#> [35,] 0.3678794 0.44932896 0.3678794 0.13533528 0.2465970 0.30119421 0.6703200
#> [36,] 0.3678794 0.44932896 0.3678794 0.13533528 0.2465970 0.30119421 0.6703200
#> [37,] 0.8187308 0.30119421 0.8187308 0.20189652 0.2465970 0.67032005 0.3011942
#> [38,] 0.6703200 0.36787944 0.6703200 0.24659696 0.3011942 0.54881164 0.5488116
#> [39,] 0.2465970 0.30119421 0.2465970 0.13533528 0.1652989 0.44932896 0.6703200
#> [40,] 0.5488116 0.13533528 0.5488116 0.67032005 0.3678794 0.44932896 0.3011942
#> [41,] 0.3678794 0.67032005 0.3678794 0.20189652 0.5488116 0.13533528 0.6703200
#> [42,] 0.5488116 0.30119421 0.5488116 0.30119421 0.3678794 0.30119421 0.4493290
#> [43,] 0.8187308 0.30119421 0.8187308 0.20189652 0.2465970 0.67032005 0.3011942
#> [44,] 0.6703200 0.16529889 0.6703200 0.36787944 0.3011942 0.36787944 0.2465970
#> [45,] 0.1652989 0.20189652 0.1652989 0.30119421 0.2465970 0.30119421 0.6703200
#> [46,] 0.3678794 0.30119421 0.3678794 0.67032005 0.5488116 0.44932896 0.6703200
#> [47,] 0.1353353 0.16529889 0.1353353 0.36787944 0.3011942 0.16529889 0.5488116
#> [48,] 0.3011942 0.16529889 0.3011942 0.81873075 0.6703200 0.16529889 0.2465970
#> [49,] 0.5488116 0.30119421 0.5488116 0.44932896 0.3678794 0.67032005 0.6703200
#> [50,] 0.3011942 0.07427358 0.3011942 0.36787944 0.1353353 0.81873075 0.2465970
#>             [,8]       [,9]      [,10]      [,11]      [,12]      [,13]
#>  [1,] 0.16529889 0.36787944 0.67032005 0.54881164 0.16529889 0.24659696
#>  [2,] 0.30119421 0.13533528 0.36787944 0.30119421 0.30119421 0.30119421
#>  [3,] 0.16529889 0.36787944 0.67032005 0.54881164 0.16529889 0.24659696
#>  [4,] 0.44932896 1.00000000 0.36787944 0.13533528 0.44932896 0.13533528
#>  [5,] 0.54881164 0.54881164 0.67032005 0.16529889 0.54881164 0.16529889
#>  [6,] 0.13533528 0.30119421 0.16529889 0.67032005 0.13533528 0.44932896
#>  [7,] 0.67032005 0.30119421 0.24659696 0.44932896 0.67032005 0.67032005
#>  [8,] 1.00000000 0.44932896 0.16529889 0.13533528 1.00000000 0.30119421
#>  [9,] 0.44932896 1.00000000 0.36787944 0.13533528 0.44932896 0.13533528
#> [10,] 0.16529889 0.36787944 1.00000000 0.16529889 0.16529889 0.07427358
#> [11,] 0.13533528 0.13533528 0.16529889 1.00000000 0.13533528 0.67032005
#> [12,] 1.00000000 0.44932896 0.16529889 0.13533528 1.00000000 0.30119421
#> [13,] 0.30119421 0.13533528 0.07427358 0.67032005 0.30119421 1.00000000
#> [14,] 0.24659696 0.24659696 0.13533528 0.81873075 0.24659696 0.81873075
#> [15,] 0.36787944 0.16529889 0.04076220 0.36787944 0.36787944 0.81873075
#> [16,] 0.81873075 0.81873075 0.30119421 0.16529889 0.81873075 0.24659696
#> [17,] 0.81873075 0.36787944 0.20189652 0.07427358 0.81873075 0.16529889
#> [18,] 0.13533528 0.30119421 0.16529889 0.67032005 0.13533528 0.44932896
#> [19,] 0.81873075 0.36787944 0.30119421 0.24659696 0.81873075 0.36787944
#> [20,] 0.24659696 0.24659696 0.13533528 0.81873075 0.24659696 0.81873075
#> [21,] 0.16529889 0.36787944 0.30119421 0.54881164 0.16529889 0.36787944
#> [22,] 0.67032005 0.30119421 0.16529889 0.13533528 0.67032005 0.30119421
#> [23,] 0.30119421 0.30119421 0.36787944 0.44932896 0.30119421 0.30119421
#> [24,] 0.24659696 0.54881164 0.30119421 0.54881164 0.24659696 0.36787944
#> [25,] 0.36787944 0.36787944 0.13533528 0.36787944 0.36787944 0.54881164
#> [26,] 0.13533528 0.13533528 0.36787944 0.44932896 0.13533528 0.30119421
#> [27,] 0.81873075 0.36787944 0.30119421 0.24659696 0.81873075 0.36787944
#> [28,] 0.24659696 0.24659696 0.30119421 0.36787944 0.24659696 0.36787944
#> [29,] 0.36787944 0.81873075 0.44932896 0.07427358 0.36787944 0.07427358
#> [30,] 0.16529889 0.07427358 0.09071795 0.81873075 0.16529889 0.81873075
#> [31,] 0.24659696 0.24659696 0.30119421 0.81873075 0.24659696 0.54881164
#> [32,] 0.13533528 0.13533528 0.16529889 1.00000000 0.13533528 0.67032005
#> [33,] 0.13533528 0.30119421 0.36787944 0.30119421 0.13533528 0.20189652
#> [34,] 0.20189652 0.44932896 0.81873075 0.30119421 0.20189652 0.13533528
#> [35,] 0.30119421 0.13533528 0.16529889 0.67032005 0.30119421 0.67032005
#> [36,] 0.30119421 0.13533528 0.16529889 0.67032005 0.30119421 0.67032005
#> [37,] 0.09071795 0.20189652 0.36787944 0.67032005 0.09071795 0.30119421
#> [38,] 0.24659696 0.24659696 0.30119421 0.81873075 0.24659696 0.54881164
#> [39,] 0.30119421 0.13533528 0.07427358 0.67032005 0.30119421 1.00000000
#> [40,] 0.30119421 0.67032005 0.36787944 0.30119421 0.30119421 0.20189652
#> [41,] 0.44932896 0.20189652 0.36787944 0.30119421 0.44932896 0.30119421
#> [42,] 0.30119421 0.30119421 0.36787944 0.44932896 0.30119421 0.30119421
#> [43,] 0.09071795 0.20189652 0.36787944 0.67032005 0.09071795 0.30119421
#> [44,] 0.16529889 0.36787944 0.44932896 0.36787944 0.16529889 0.16529889
#> [45,] 0.67032005 0.30119421 0.07427358 0.30119421 0.67032005 0.67032005
#> [46,] 0.67032005 0.67032005 0.24659696 0.30119421 0.67032005 0.44932896
#> [47,] 0.81873075 0.36787944 0.09071795 0.16529889 0.81873075 0.36787944
#> [48,] 0.36787944 0.81873075 0.44932896 0.07427358 0.36787944 0.07427358
#> [49,] 0.44932896 0.44932896 0.24659696 0.67032005 0.44932896 0.67032005
#> [50,] 0.16529889 0.36787944 0.09071795 0.36787944 0.16529889 0.36787944
#>           [,14]      [,15]     [,16]      [,17]      [,18]     [,19]     [,20]
#>  [1,] 0.4493290 0.13533528 0.3011942 0.13533528 0.54881164 0.3011942 0.4493290
#>  [2,] 0.2465970 0.16529889 0.2465970 0.36787944 0.13533528 0.5488116 0.2465970
#>  [3,] 0.4493290 0.13533528 0.3011942 0.13533528 0.54881164 0.3011942 0.4493290
#>  [4,] 0.2465970 0.16529889 0.8187308 0.36787944 0.30119421 0.3678794 0.2465970
#>  [5,] 0.2018965 0.13533528 0.6703200 0.67032005 0.16529889 0.6703200 0.2018965
#>  [6,] 0.8187308 0.36787944 0.2465970 0.07427358 1.00000000 0.1652989 0.8187308
#>  [7,] 0.5488116 0.54881164 0.5488116 0.54881164 0.30119421 0.8187308 0.5488116
#>  [8,] 0.2465970 0.36787944 0.8187308 0.81873075 0.13533528 0.8187308 0.2465970
#>  [9,] 0.2465970 0.16529889 0.8187308 0.36787944 0.30119421 0.3678794 0.2465970
#> [10,] 0.1353353 0.04076220 0.3011942 0.20189652 0.16529889 0.3011942 0.1353353
#> [11,] 0.8187308 0.36787944 0.1652989 0.07427358 0.67032005 0.2465970 0.8187308
#> [12,] 0.2465970 0.36787944 0.8187308 0.81873075 0.13533528 0.8187308 0.2465970
#> [13,] 0.8187308 0.81873075 0.2465970 0.16529889 0.44932896 0.3678794 0.8187308
#> [14,] 1.0000000 0.67032005 0.3011942 0.13533528 0.81873075 0.3011942 1.0000000
#> [15,] 0.6703200 1.00000000 0.3011942 0.20189652 0.36787944 0.3011942 0.6703200
#> [16,] 0.3011942 0.30119421 1.0000000 0.67032005 0.24659696 0.6703200 0.3011942
#> [17,] 0.1353353 0.20189652 0.6703200 1.00000000 0.07427358 0.6703200 0.1353353
#> [18,] 0.8187308 0.36787944 0.2465970 0.07427358 1.00000000 0.1652989 0.8187308
#> [19,] 0.3011942 0.30119421 0.6703200 0.67032005 0.16529889 1.0000000 0.3011942
#> [20,] 1.0000000 0.67032005 0.3011942 0.13533528 0.81873075 0.3011942 1.0000000
#> [21,] 0.6703200 0.30119421 0.3011942 0.13533528 0.81873075 0.2018965 0.6703200
#> [22,] 0.2465970 0.36787944 0.5488116 0.81873075 0.13533528 0.5488116 0.2465970
#> [23,] 0.3678794 0.16529889 0.3678794 0.16529889 0.30119421 0.5488116 0.3678794
#> [24,] 0.6703200 0.30119421 0.4493290 0.13533528 0.81873075 0.3011942 0.6703200
#> [25,] 0.6703200 0.67032005 0.4493290 0.30119421 0.54881164 0.3011942 0.6703200
#> [26,] 0.3678794 0.16529889 0.1652989 0.16529889 0.30119421 0.2465970 0.3678794
#> [27,] 0.3011942 0.30119421 0.6703200 0.67032005 0.16529889 1.0000000 0.3011942
#> [28,] 0.4493290 0.30119421 0.3011942 0.30119421 0.36787944 0.3011942 0.4493290
#> [29,] 0.1353353 0.09071795 0.6703200 0.44932896 0.16529889 0.3011942 0.1353353
#> [30,] 0.6703200 0.44932896 0.1353353 0.09071795 0.36787944 0.3011942 0.6703200
#> [31,] 0.6703200 0.30119421 0.3011942 0.13533528 0.54881164 0.4493290 0.6703200
#> [32,] 0.8187308 0.36787944 0.1652989 0.07427358 0.67032005 0.2465970 0.8187308
#> [33,] 0.3678794 0.16529889 0.2465970 0.16529889 0.44932896 0.1652989 0.3678794
#> [34,] 0.2465970 0.07427358 0.3678794 0.16529889 0.30119421 0.3678794 0.2465970
#> [35,] 0.5488116 0.36787944 0.2465970 0.16529889 0.30119421 0.5488116 0.5488116
#> [36,] 0.5488116 0.36787944 0.2465970 0.16529889 0.30119421 0.5488116 0.5488116
#> [37,] 0.5488116 0.16529889 0.1652989 0.07427358 0.67032005 0.1652989 0.5488116
#> [38,] 0.6703200 0.30119421 0.3011942 0.13533528 0.54881164 0.4493290 0.6703200
#> [39,] 0.8187308 0.81873075 0.2465970 0.16529889 0.44932896 0.3678794 0.8187308
#> [40,] 0.3678794 0.16529889 0.5488116 0.16529889 0.44932896 0.3678794 0.3678794
#> [41,] 0.2465970 0.16529889 0.3678794 0.36787944 0.13533528 0.8187308 0.2465970
#> [42,] 0.3678794 0.16529889 0.3678794 0.16529889 0.30119421 0.5488116 0.3678794
#> [43,] 0.5488116 0.16529889 0.1652989 0.07427358 0.67032005 0.1652989 0.5488116
#> [44,] 0.3011942 0.09071795 0.3011942 0.09071795 0.36787944 0.3011942 0.3011942
#> [45,] 0.5488116 0.81873075 0.5488116 0.36787944 0.30119421 0.5488116 0.5488116
#> [46,] 0.5488116 0.54881164 0.8187308 0.54881164 0.44932896 0.5488116 0.5488116
#> [47,] 0.3011942 0.44932896 0.6703200 0.44932896 0.16529889 0.6703200 0.3011942
#> [48,] 0.1353353 0.09071795 0.6703200 0.44932896 0.16529889 0.3011942 0.1353353
#> [49,] 0.8187308 0.54881164 0.5488116 0.24659696 0.67032005 0.5488116 0.8187308
#> [50,] 0.6703200 0.44932896 0.3011942 0.09071795 0.81873075 0.1353353 0.6703200
#>           [,21]      [,22]     [,23]     [,24]     [,25]      [,26]     [,27]
#>  [1,] 0.6703200 0.16529889 0.5488116 0.6703200 0.3011942 0.54881164 0.3011942
#>  [2,] 0.2465970 0.44932896 0.3011942 0.1652989 0.2465970 0.67032005 0.5488116
#>  [3,] 0.6703200 0.16529889 0.5488116 0.6703200 0.3011942 0.54881164 0.3011942
#>  [4,] 0.3678794 0.30119421 0.3011942 0.5488116 0.3678794 0.13533528 0.3678794
#>  [5,] 0.3011942 0.54881164 0.3678794 0.3011942 0.3011942 0.36787944 0.6703200
#>  [6,] 0.8187308 0.13533528 0.3011942 0.8187308 0.5488116 0.30119421 0.1652989
#>  [7,] 0.3678794 0.67032005 0.4493290 0.3678794 0.5488116 0.44932896 0.8187308
#>  [8,] 0.1652989 0.67032005 0.3011942 0.2465970 0.3678794 0.13533528 0.8187308
#>  [9,] 0.3678794 0.30119421 0.3011942 0.5488116 0.3678794 0.13533528 0.3678794
#> [10,] 0.3011942 0.16529889 0.3678794 0.3011942 0.1353353 0.36787944 0.3011942
#> [11,] 0.5488116 0.13533528 0.4493290 0.5488116 0.3678794 0.44932896 0.2465970
#> [12,] 0.1652989 0.67032005 0.3011942 0.2465970 0.3678794 0.13533528 0.8187308
#> [13,] 0.3678794 0.30119421 0.3011942 0.3678794 0.5488116 0.30119421 0.3678794
#> [14,] 0.6703200 0.24659696 0.3678794 0.6703200 0.6703200 0.36787944 0.3011942
#> [15,] 0.3011942 0.36787944 0.1652989 0.3011942 0.6703200 0.16529889 0.3011942
#> [16,] 0.3011942 0.54881164 0.3678794 0.4493290 0.4493290 0.16529889 0.6703200
#> [17,] 0.1353353 0.81873075 0.1652989 0.1353353 0.3011942 0.16529889 0.6703200
#> [18,] 0.8187308 0.13533528 0.3011942 0.8187308 0.5488116 0.30119421 0.1652989
#> [19,] 0.2018965 0.54881164 0.5488116 0.3011942 0.3011942 0.24659696 1.0000000
#> [20,] 0.6703200 0.24659696 0.3678794 0.6703200 0.6703200 0.36787944 0.3011942
#> [21,] 1.0000000 0.24659696 0.2465970 0.6703200 0.6703200 0.54881164 0.2018965
#> [22,] 0.2465970 1.00000000 0.1353353 0.1652989 0.5488116 0.30119421 0.5488116
#> [23,] 0.2465970 0.13533528 1.0000000 0.5488116 0.1652989 0.20189652 0.5488116
#> [24,] 0.6703200 0.16529889 0.5488116 1.0000000 0.4493290 0.24659696 0.3011942
#> [25,] 0.6703200 0.54881164 0.1652989 0.4493290 1.0000000 0.36787944 0.3011942
#> [26,] 0.5488116 0.30119421 0.2018965 0.2465970 0.3678794 1.00000000 0.2465970
#> [27,] 0.2018965 0.54881164 0.5488116 0.3011942 0.3011942 0.24659696 1.0000000
#> [28,] 0.6703200 0.54881164 0.1652989 0.3011942 0.6703200 0.81873075 0.3011942
#> [29,] 0.3011942 0.36787944 0.1652989 0.3011942 0.3011942 0.16529889 0.3011942
#> [30,] 0.3011942 0.16529889 0.3678794 0.3011942 0.3011942 0.36787944 0.3011942
#> [31,] 0.4493290 0.16529889 0.8187308 0.6703200 0.3011942 0.36787944 0.4493290
#> [32,] 0.5488116 0.13533528 0.4493290 0.5488116 0.3678794 0.44932896 0.2465970
#> [33,] 0.8187308 0.30119421 0.1353353 0.3678794 0.5488116 0.67032005 0.1652989
#> [34,] 0.3678794 0.13533528 0.6703200 0.5488116 0.1652989 0.30119421 0.3678794
#> [35,] 0.2465970 0.20189652 0.6703200 0.3678794 0.2465970 0.30119421 0.5488116
#> [36,] 0.2465970 0.20189652 0.6703200 0.3678794 0.2465970 0.30119421 0.5488116
#> [37,] 0.8187308 0.13533528 0.3011942 0.5488116 0.3678794 0.67032005 0.1652989
#> [38,] 0.4493290 0.16529889 0.8187308 0.6703200 0.3011942 0.36787944 0.4493290
#> [39,] 0.3678794 0.30119421 0.3011942 0.3678794 0.5488116 0.30119421 0.3678794
#> [40,] 0.3678794 0.13533528 0.6703200 0.8187308 0.2465970 0.13533528 0.3678794
#> [41,] 0.1652989 0.30119421 0.6703200 0.2465970 0.1652989 0.30119421 0.8187308
#> [42,] 0.2465970 0.13533528 1.0000000 0.5488116 0.1652989 0.20189652 0.5488116
#> [43,] 0.8187308 0.13533528 0.3011942 0.5488116 0.3678794 0.67032005 0.1652989
#> [44,] 0.3011942 0.07427358 0.8187308 0.6703200 0.1353353 0.16529889 0.3011942
#> [45,] 0.2465970 0.44932896 0.3011942 0.3678794 0.5488116 0.13533528 0.5488116
#> [46,] 0.5488116 0.67032005 0.3011942 0.5488116 0.8187308 0.30119421 0.5488116
#> [47,] 0.1353353 0.36787944 0.3678794 0.3011942 0.3011942 0.07427358 0.6703200
#> [48,] 0.3011942 0.36787944 0.1652989 0.3011942 0.3011942 0.16529889 0.3011942
#> [49,] 0.5488116 0.30119421 0.6703200 0.8187308 0.5488116 0.30119421 0.5488116
#> [50,] 0.6703200 0.16529889 0.1652989 0.6703200 0.6703200 0.16529889 0.1353353
#>           [,28]      [,29]      [,30]     [,31]      [,32]      [,33]
#>  [1,] 0.4493290 0.30119421 0.30119421 0.6703200 0.54881164 0.54881164
#>  [2,] 0.5488116 0.16529889 0.36787944 0.3678794 0.30119421 0.30119421
#>  [3,] 0.4493290 0.30119421 0.30119421 0.6703200 0.54881164 0.54881164
#>  [4,] 0.2465970 0.81873075 0.07427358 0.2465970 0.13533528 0.30119421
#>  [5,] 0.4493290 0.67032005 0.13533528 0.3011942 0.16529889 0.36787944
#>  [6,] 0.3678794 0.16529889 0.36787944 0.5488116 0.67032005 0.44932896
#>  [7,] 0.5488116 0.24659696 0.54881164 0.5488116 0.44932896 0.30119421
#>  [8,] 0.2465970 0.36787944 0.16529889 0.2465970 0.13533528 0.13533528
#>  [9,] 0.2465970 0.81873075 0.07427358 0.2465970 0.13533528 0.30119421
#> [10,] 0.3011942 0.44932896 0.09071795 0.3011942 0.16529889 0.36787944
#> [11,] 0.3678794 0.07427358 0.81873075 0.8187308 1.00000000 0.30119421
#> [12,] 0.2465970 0.36787944 0.16529889 0.2465970 0.13533528 0.13533528
#> [13,] 0.3678794 0.07427358 0.81873075 0.5488116 0.67032005 0.20189652
#> [14,] 0.4493290 0.13533528 0.67032005 0.6703200 0.81873075 0.36787944
#> [15,] 0.3011942 0.09071795 0.44932896 0.3011942 0.36787944 0.16529889
#> [16,] 0.3011942 0.67032005 0.13533528 0.3011942 0.16529889 0.24659696
#> [17,] 0.3011942 0.44932896 0.09071795 0.1353353 0.07427358 0.16529889
#> [18,] 0.3678794 0.16529889 0.36787944 0.5488116 0.67032005 0.44932896
#> [19,] 0.3011942 0.30119421 0.30119421 0.4493290 0.24659696 0.16529889
#> [20,] 0.4493290 0.13533528 0.67032005 0.6703200 0.81873075 0.36787944
#> [21,] 0.6703200 0.30119421 0.30119421 0.4493290 0.54881164 0.81873075
#> [22,] 0.5488116 0.36787944 0.16529889 0.1652989 0.13533528 0.30119421
#> [23,] 0.1652989 0.16529889 0.36787944 0.8187308 0.44932896 0.13533528
#> [24,] 0.3011942 0.30119421 0.30119421 0.6703200 0.54881164 0.36787944
#> [25,] 0.6703200 0.30119421 0.30119421 0.3011942 0.36787944 0.54881164
#> [26,] 0.8187308 0.16529889 0.36787944 0.3678794 0.44932896 0.67032005
#> [27,] 0.3011942 0.30119421 0.30119421 0.4493290 0.24659696 0.16529889
#> [28,] 1.0000000 0.30119421 0.30119421 0.3011942 0.36787944 0.81873075
#> [29,] 0.3011942 1.00000000 0.04076220 0.1353353 0.07427358 0.36787944
#> [30,] 0.3011942 0.04076220 1.00000000 0.6703200 0.81873075 0.16529889
#> [31,] 0.3011942 0.13533528 0.67032005 1.0000000 0.81873075 0.24659696
#> [32,] 0.3678794 0.07427358 0.81873075 0.8187308 1.00000000 0.30119421
#> [33,] 0.8187308 0.36787944 0.16529889 0.2465970 0.30119421 1.00000000
#> [34,] 0.2465970 0.36787944 0.16529889 0.5488116 0.30119421 0.30119421
#> [35,] 0.2465970 0.07427358 0.81873075 0.8187308 0.67032005 0.13533528
#> [36,] 0.2465970 0.07427358 0.81873075 0.8187308 0.67032005 0.13533528
#> [37,] 0.5488116 0.16529889 0.36787944 0.5488116 0.67032005 0.67032005
#> [38,] 0.3011942 0.13533528 0.67032005 1.0000000 0.81873075 0.24659696
#> [39,] 0.3678794 0.07427358 0.81873075 0.5488116 0.67032005 0.20189652
#> [40,] 0.1652989 0.36787944 0.16529889 0.5488116 0.30119421 0.20189652
#> [41,] 0.2465970 0.16529889 0.36787944 0.5488116 0.30119421 0.13533528
#> [42,] 0.1652989 0.16529889 0.36787944 0.8187308 0.44932896 0.13533528
#> [43,] 0.5488116 0.16529889 0.36787944 0.5488116 0.67032005 0.67032005
#> [44,] 0.1353353 0.20189652 0.20189652 0.6703200 0.36787944 0.16529889
#> [45,] 0.2465970 0.16529889 0.36787944 0.3678794 0.30119421 0.13533528
#> [46,] 0.5488116 0.54881164 0.24659696 0.3678794 0.30119421 0.44932896
#> [47,] 0.1353353 0.20189652 0.20189652 0.3011942 0.16529889 0.07427358
#> [48,] 0.3011942 1.00000000 0.04076220 0.1353353 0.07427358 0.36787944
#> [49,] 0.3678794 0.24659696 0.54881164 0.8187308 0.67032005 0.30119421
#> [50,] 0.3011942 0.20189652 0.20189652 0.3011942 0.36787944 0.36787944
#>            [,34]      [,35]      [,36]      [,37]     [,38]      [,39]
#>  [1,] 0.81873075 0.36787944 0.36787944 0.81873075 0.6703200 0.24659696
#>  [2,] 0.30119421 0.44932896 0.44932896 0.30119421 0.3678794 0.30119421
#>  [3,] 0.81873075 0.36787944 0.36787944 0.81873075 0.6703200 0.24659696
#>  [4,] 0.44932896 0.13533528 0.13533528 0.20189652 0.2465970 0.13533528
#>  [5,] 0.54881164 0.24659696 0.24659696 0.24659696 0.3011942 0.16529889
#>  [6,] 0.30119421 0.30119421 0.30119421 0.67032005 0.5488116 0.44932896
#>  [7,] 0.30119421 0.67032005 0.67032005 0.30119421 0.5488116 0.67032005
#>  [8,] 0.20189652 0.30119421 0.30119421 0.09071795 0.2465970 0.30119421
#>  [9,] 0.44932896 0.13533528 0.13533528 0.20189652 0.2465970 0.13533528
#> [10,] 0.81873075 0.16529889 0.16529889 0.36787944 0.3011942 0.07427358
#> [11,] 0.30119421 0.67032005 0.67032005 0.67032005 0.8187308 0.67032005
#> [12,] 0.20189652 0.30119421 0.30119421 0.09071795 0.2465970 0.30119421
#> [13,] 0.13533528 0.67032005 0.67032005 0.30119421 0.5488116 1.00000000
#> [14,] 0.24659696 0.54881164 0.54881164 0.54881164 0.6703200 0.81873075
#> [15,] 0.07427358 0.36787944 0.36787944 0.16529889 0.3011942 0.81873075
#> [16,] 0.36787944 0.24659696 0.24659696 0.16529889 0.3011942 0.24659696
#> [17,] 0.16529889 0.16529889 0.16529889 0.07427358 0.1353353 0.16529889
#> [18,] 0.30119421 0.30119421 0.30119421 0.67032005 0.5488116 0.44932896
#> [19,] 0.36787944 0.54881164 0.54881164 0.16529889 0.4493290 0.36787944
#> [20,] 0.24659696 0.54881164 0.54881164 0.54881164 0.6703200 0.81873075
#> [21,] 0.36787944 0.24659696 0.24659696 0.81873075 0.4493290 0.36787944
#> [22,] 0.13533528 0.20189652 0.20189652 0.13533528 0.1652989 0.30119421
#> [23,] 0.67032005 0.67032005 0.67032005 0.30119421 0.8187308 0.30119421
#> [24,] 0.54881164 0.36787944 0.36787944 0.54881164 0.6703200 0.36787944
#> [25,] 0.16529889 0.24659696 0.24659696 0.36787944 0.3011942 0.54881164
#> [26,] 0.30119421 0.30119421 0.30119421 0.67032005 0.3678794 0.30119421
#> [27,] 0.36787944 0.54881164 0.54881164 0.16529889 0.4493290 0.36787944
#> [28,] 0.24659696 0.24659696 0.24659696 0.54881164 0.3011942 0.36787944
#> [29,] 0.36787944 0.07427358 0.07427358 0.16529889 0.1353353 0.07427358
#> [30,] 0.16529889 0.81873075 0.81873075 0.36787944 0.6703200 0.81873075
#> [31,] 0.54881164 0.81873075 0.81873075 0.54881164 1.0000000 0.54881164
#> [32,] 0.30119421 0.67032005 0.67032005 0.67032005 0.8187308 0.67032005
#> [33,] 0.30119421 0.13533528 0.13533528 0.67032005 0.2465970 0.20189652
#> [34,] 1.00000000 0.30119421 0.30119421 0.44932896 0.5488116 0.13533528
#> [35,] 0.30119421 1.00000000 1.00000000 0.30119421 0.8187308 0.67032005
#> [36,] 0.30119421 1.00000000 1.00000000 0.30119421 0.8187308 0.67032005
#> [37,] 0.44932896 0.30119421 0.30119421 1.00000000 0.5488116 0.30119421
#> [38,] 0.54881164 0.81873075 0.81873075 0.54881164 1.0000000 0.54881164
#> [39,] 0.13533528 0.67032005 0.67032005 0.30119421 0.5488116 1.00000000
#> [40,] 0.67032005 0.30119421 0.30119421 0.30119421 0.5488116 0.20189652
#> [41,] 0.44932896 0.67032005 0.67032005 0.20189652 0.5488116 0.30119421
#> [42,] 0.67032005 0.67032005 0.67032005 0.30119421 0.8187308 0.30119421
#> [43,] 0.44932896 0.30119421 0.30119421 1.00000000 0.5488116 0.30119421
#> [44,] 0.81873075 0.36787944 0.36787944 0.36787944 0.6703200 0.16529889
#> [45,] 0.13533528 0.44932896 0.44932896 0.13533528 0.3678794 0.67032005
#> [46,] 0.30119421 0.30119421 0.30119421 0.30119421 0.3678794 0.44932896
#> [47,] 0.16529889 0.36787944 0.36787944 0.07427358 0.3011942 0.36787944
#> [48,] 0.36787944 0.07427358 0.07427358 0.16529889 0.1353353 0.07427358
#> [49,] 0.44932896 0.67032005 0.67032005 0.44932896 0.8187308 0.67032005
#> [50,] 0.16529889 0.16529889 0.16529889 0.36787944 0.3011942 0.36787944
#>           [,40]      [,41]     [,42]      [,43]      [,44]      [,45]     [,46]
#>  [1,] 0.5488116 0.36787944 0.5488116 0.81873075 0.67032005 0.16529889 0.3678794
#>  [2,] 0.1353353 0.67032005 0.3011942 0.30119421 0.16529889 0.20189652 0.3011942
#>  [3,] 0.5488116 0.36787944 0.5488116 0.81873075 0.67032005 0.16529889 0.3678794
#>  [4,] 0.6703200 0.20189652 0.3011942 0.20189652 0.36787944 0.30119421 0.6703200
#>  [5,] 0.3678794 0.54881164 0.3678794 0.24659696 0.30119421 0.24659696 0.5488116
#>  [6,] 0.4493290 0.13533528 0.3011942 0.67032005 0.36787944 0.30119421 0.4493290
#>  [7,] 0.3011942 0.67032005 0.4493290 0.30119421 0.24659696 0.67032005 0.6703200
#>  [8,] 0.3011942 0.44932896 0.3011942 0.09071795 0.16529889 0.67032005 0.6703200
#>  [9,] 0.6703200 0.20189652 0.3011942 0.20189652 0.36787944 0.30119421 0.6703200
#> [10,] 0.3678794 0.36787944 0.3678794 0.36787944 0.44932896 0.07427358 0.2465970
#> [11,] 0.3011942 0.30119421 0.4493290 0.67032005 0.36787944 0.30119421 0.3011942
#> [12,] 0.3011942 0.44932896 0.3011942 0.09071795 0.16529889 0.67032005 0.6703200
#> [13,] 0.2018965 0.30119421 0.3011942 0.30119421 0.16529889 0.67032005 0.4493290
#> [14,] 0.3678794 0.24659696 0.3678794 0.54881164 0.30119421 0.54881164 0.5488116
#> [15,] 0.1652989 0.16529889 0.1652989 0.16529889 0.09071795 0.81873075 0.5488116
#> [16,] 0.5488116 0.36787944 0.3678794 0.16529889 0.30119421 0.54881164 0.8187308
#> [17,] 0.1652989 0.36787944 0.1652989 0.07427358 0.09071795 0.36787944 0.5488116
#> [18,] 0.4493290 0.13533528 0.3011942 0.67032005 0.36787944 0.30119421 0.4493290
#> [19,] 0.3678794 0.81873075 0.5488116 0.16529889 0.30119421 0.54881164 0.5488116
#> [20,] 0.3678794 0.24659696 0.3678794 0.54881164 0.30119421 0.54881164 0.5488116
#> [21,] 0.3678794 0.16529889 0.2465970 0.81873075 0.30119421 0.24659696 0.5488116
#> [22,] 0.1353353 0.30119421 0.1353353 0.13533528 0.07427358 0.44932896 0.6703200
#> [23,] 0.6703200 0.67032005 1.0000000 0.30119421 0.81873075 0.30119421 0.3011942
#> [24,] 0.8187308 0.24659696 0.5488116 0.54881164 0.67032005 0.36787944 0.5488116
#> [25,] 0.2465970 0.16529889 0.1652989 0.36787944 0.13533528 0.54881164 0.8187308
#> [26,] 0.1353353 0.30119421 0.2018965 0.67032005 0.16529889 0.13533528 0.3011942
#> [27,] 0.3678794 0.81873075 0.5488116 0.16529889 0.30119421 0.54881164 0.5488116
#> [28,] 0.1652989 0.24659696 0.1652989 0.54881164 0.13533528 0.24659696 0.5488116
#> [29,] 0.3678794 0.16529889 0.1652989 0.16529889 0.20189652 0.16529889 0.5488116
#> [30,] 0.1652989 0.36787944 0.3678794 0.36787944 0.20189652 0.36787944 0.2465970
#> [31,] 0.5488116 0.54881164 0.8187308 0.54881164 0.67032005 0.36787944 0.3678794
#> [32,] 0.3011942 0.30119421 0.4493290 0.67032005 0.36787944 0.30119421 0.3011942
#> [33,] 0.2018965 0.13533528 0.1353353 0.67032005 0.16529889 0.13533528 0.4493290
#> [34,] 0.6703200 0.44932896 0.6703200 0.44932896 0.81873075 0.13533528 0.3011942
#> [35,] 0.3011942 0.67032005 0.6703200 0.30119421 0.36787944 0.44932896 0.3011942
#> [36,] 0.3011942 0.67032005 0.6703200 0.30119421 0.36787944 0.44932896 0.3011942
#> [37,] 0.3011942 0.20189652 0.3011942 1.00000000 0.36787944 0.13533528 0.3011942
#> [38,] 0.5488116 0.54881164 0.8187308 0.54881164 0.67032005 0.36787944 0.3678794
#> [39,] 0.2018965 0.30119421 0.3011942 0.30119421 0.16529889 0.67032005 0.4493290
#> [40,] 1.0000000 0.30119421 0.6703200 0.30119421 0.81873075 0.30119421 0.4493290
#> [41,] 0.3011942 1.00000000 0.6703200 0.20189652 0.36787944 0.30119421 0.3011942
#> [42,] 0.6703200 0.67032005 1.0000000 0.30119421 0.81873075 0.30119421 0.3011942
#> [43,] 0.3011942 0.20189652 0.3011942 1.00000000 0.36787944 0.13533528 0.3011942
#> [44,] 0.8187308 0.36787944 0.8187308 0.36787944 1.00000000 0.16529889 0.2465970
#> [45,] 0.3011942 0.30119421 0.3011942 0.13533528 0.16529889 1.00000000 0.6703200
#> [46,] 0.4493290 0.30119421 0.3011942 0.30119421 0.24659696 0.67032005 1.0000000
#> [47,] 0.3678794 0.36787944 0.3678794 0.07427358 0.20189652 0.81873075 0.5488116
#> [48,] 0.3678794 0.16529889 0.1652989 0.16529889 0.20189652 0.16529889 0.5488116
#> [49,] 0.6703200 0.44932896 0.6703200 0.44932896 0.54881164 0.67032005 0.6703200
#> [50,] 0.3678794 0.07427358 0.1652989 0.36787944 0.20189652 0.36787944 0.5488116
#>            [,47]      [,48]     [,49]      [,50]
#>  [1,] 0.13533528 0.30119421 0.5488116 0.30119421
#>  [2,] 0.16529889 0.16529889 0.3011942 0.07427358
#>  [3,] 0.13533528 0.30119421 0.5488116 0.30119421
#>  [4,] 0.36787944 0.81873075 0.4493290 0.36787944
#>  [5,] 0.30119421 0.67032005 0.3678794 0.13533528
#>  [6,] 0.16529889 0.16529889 0.6703200 0.81873075
#>  [7,] 0.54881164 0.24659696 0.6703200 0.24659696
#>  [8,] 0.81873075 0.36787944 0.4493290 0.16529889
#>  [9,] 0.36787944 0.81873075 0.4493290 0.36787944
#> [10,] 0.09071795 0.44932896 0.2465970 0.09071795
#> [11,] 0.16529889 0.07427358 0.6703200 0.36787944
#> [12,] 0.81873075 0.36787944 0.4493290 0.16529889
#> [13,] 0.36787944 0.07427358 0.6703200 0.36787944
#> [14,] 0.30119421 0.13533528 0.8187308 0.67032005
#> [15,] 0.44932896 0.09071795 0.5488116 0.44932896
#> [16,] 0.67032005 0.67032005 0.5488116 0.30119421
#> [17,] 0.44932896 0.44932896 0.2465970 0.09071795
#> [18,] 0.16529889 0.16529889 0.6703200 0.81873075
#> [19,] 0.67032005 0.30119421 0.5488116 0.13533528
#> [20,] 0.30119421 0.13533528 0.8187308 0.67032005
#> [21,] 0.13533528 0.30119421 0.5488116 0.67032005
#> [22,] 0.36787944 0.36787944 0.3011942 0.16529889
#> [23,] 0.36787944 0.16529889 0.6703200 0.16529889
#> [24,] 0.30119421 0.30119421 0.8187308 0.67032005
#> [25,] 0.30119421 0.30119421 0.5488116 0.67032005
#> [26,] 0.07427358 0.16529889 0.3011942 0.16529889
#> [27,] 0.67032005 0.30119421 0.5488116 0.13533528
#> [28,] 0.13533528 0.30119421 0.3678794 0.30119421
#> [29,] 0.20189652 1.00000000 0.2465970 0.20189652
#> [30,] 0.20189652 0.04076220 0.5488116 0.20189652
#> [31,] 0.30119421 0.13533528 0.8187308 0.30119421
#> [32,] 0.16529889 0.07427358 0.6703200 0.36787944
#> [33,] 0.07427358 0.36787944 0.3011942 0.36787944
#> [34,] 0.16529889 0.36787944 0.4493290 0.16529889
#> [35,] 0.36787944 0.07427358 0.6703200 0.16529889
#> [36,] 0.36787944 0.07427358 0.6703200 0.16529889
#> [37,] 0.07427358 0.16529889 0.4493290 0.36787944
#> [38,] 0.30119421 0.13533528 0.8187308 0.30119421
#> [39,] 0.36787944 0.07427358 0.6703200 0.36787944
#> [40,] 0.36787944 0.36787944 0.6703200 0.36787944
#> [41,] 0.36787944 0.16529889 0.4493290 0.07427358
#> [42,] 0.36787944 0.16529889 0.6703200 0.16529889
#> [43,] 0.07427358 0.16529889 0.4493290 0.36787944
#> [44,] 0.20189652 0.20189652 0.5488116 0.20189652
#> [45,] 0.81873075 0.16529889 0.6703200 0.36787944
#> [46,] 0.54881164 0.54881164 0.6703200 0.54881164
#> [47,] 1.00000000 0.20189652 0.5488116 0.20189652
#> [48,] 0.20189652 1.00000000 0.2465970 0.20189652
#> [49,] 0.54881164 0.24659696 1.0000000 0.54881164
#> [50,] 0.20189652 0.20189652 0.5488116 1.00000000
#> 
#> $f_hat
#>  [1]  0.20566456 -0.19199358  0.20566456  0.86696392  0.01365707  0.07844136
#>  [7] -0.40158640 -0.12410662  0.86696392  0.41271152 -0.41474787 -0.12410662
#> [13] -0.35739096 -0.35813197 -0.16522109  0.27447123 -0.18985980  0.07844136
#> [19] -0.29511354 -0.35813197 -0.13430765 -0.29334332  0.13197919  0.38450020
#> [25] -0.30901974 -0.50038192 -0.29511354 -0.56661828  0.80557858 -0.36687204
#> [31] -0.03336272 -0.41474787 -0.24822980  0.45791948 -0.09951321 -0.09951321
#> [37] -0.23476058 -0.03336272 -0.35739096  0.56047474 -0.14474447  0.13197919
#> [43] -0.23476058  0.43326325 -0.21590129 -0.05762254 -0.11759242  0.80557858
#> [49] -0.10797377  0.25220085
#> 
#> $se
#> [1] 0.8191869
#> 
#> $h
#> [1] 5
#> 
#> $n
#> [1] 50
#> 
#> $method
#> [1] "RKHS regression (Gaussian kernel)"
#>