Generate a random projection matrix for dimensionality reduction, and optionally transform input data to a projection in a lower dimension space using the generated random matrix.
cuda_ml_rand_proj( x, n_components = NULL, eps = 0.1, gaussian_method = TRUE, density = NULL, transform_input = TRUE, seed = 0L )
| x | The input matrix or dataframe. Each data point should be a row and should consist of numeric values only. |
|---|---|
| n_components | Dimensionality of the target projection space. If NULL,
then the parameter is deducted using the Johnson-Lindenstrauss lemma,
taking into consideration the number of samples and the |
| eps | Error tolerance during projection. Default: 0.1. |
| gaussian_method | If TRUE, then use the Gaussian random projection method. Otherwise, use the sparse random projection method. See https://en.wikipedia.org/wiki/Random_projection for details. Default: TRUE. |
| density | Ratio of non-zero component in the random projection matrix. If NULL, then the value is set to the minimum density as recommended by Ping Li et al.: 1 / sqrt(n_features). Default: NULL. |
| transform_input | Whether to project input data onto a lower dimension space using the random matrix. Default: TRUE. |
| seed | Seed for the pseudorandom number generator. Default: 0L. |
A context object containing GPU pointer to a random matrix that can
be used as input to the cuda_ml_transform() function.
If transform_input is set to TRUE, then the context object will also
contain a "transformed_data" attribute containing the lower dimensional
projection of the input data.
library(cuda.ml) library(mlbench) data(Vehicle) vehicle_data <- Vehicle[order(Vehicle$Class), which(names(Vehicle) != "Class")] model <- cuda_ml_rand_proj(vehicle_data, n_components = 4) set.seed(0L) print(kmeans(model$transformed_data, centers = 4, iter.max = 1000))#> K-means clustering with 4 clusters of sizes 843, 1, 1, 1 #> #> Cluster means: #> [,1] [,2] [,3] [,4] [,5] [,6] [,7] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,8] [,9] [,10] [,11] [,12] [,13] [,14] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,15] [,16] [,17] [,18] [,19] [,20] [,21] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,22] [,23] [,24] [,25] [,26] [,27] [,28] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,29] [,30] [,31] [,32] [,33] [,34] [,35] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,36] [,37] [,38] [,39] [,40] [,41] [,42] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,43] [,44] [,45] [,46] [,47] [,48] [,49] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,50] [,51] [,52] [,53] [,54] [,55] [,56] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,57] [,58] [,59] [,60] [,61] [,62] [,63] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,64] [,65] [,66] [,67] [,68] [,69] [,70] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,71] [,72] [,73] [,74] [,75] [,76] [,77] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,78] [,79] [,80] [,81] [,82] [,83] [,84] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,85] [,86] [,87] [,88] [,89] [,90] [,91] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,92] [,93] [,94] [,95] [,96] [,97] [,98] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,99] [,100] [,101] [,102] [,103] [,104] [,105] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,106] [,107] [,108] [,109] [,110] [,111] [,112] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,113] [,114] [,115] [,116] [,117] [,118] [,119] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,120] [,121] [,122] [,123] [,124] [,125] [,126] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,127] [,128] [,129] [,130] [,131] [,132] [,133] #> 1 0.00118624 0.00118624 0 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 1 0.00000000 0.00000000 0.00000000 0.00000000 #> [,134] [,135] [,136] [,137] [,138] [,139] [,140] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,141] [,142] [,143] [,144] [,145] [,146] [,147] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,148] [,149] [,150] [,151] [,152] [,153] [,154] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,155] [,156] [,157] [,158] [,159] [,160] [,161] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,162] [,163] [,164] [,165] [,166] [,167] [,168] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,169] [,170] [,171] [,172] [,173] [,174] [,175] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,176] [,177] [,178] [,179] [,180] [,181] [,182] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,183] [,184] [,185] [,186] [,187] [,188] [,189] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,190] [,191] [,192] [,193] [,194] [,195] [,196] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,197] [,198] [,199] [,200] [,201] [,202] [,203] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,204] [,205] [,206] [,207] [,208] [,209] [,210] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,211] [,212] [,213] [,214] [,215] [,216] [,217] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,218] [,219] [,220] [,221] [,222] [,223] [,224] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,225] [,226] [,227] [,228] [,229] [,230] [,231] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,232] [,233] [,234] [,235] [,236] [,237] [,238] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,239] [,240] [,241] [,242] [,243] [,244] [,245] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,246] [,247] [,248] [,249] [,250] [,251] [,252] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,253] [,254] [,255] [,256] [,257] [,258] [,259] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,260] [,261] [,262] [,263] [,264] [,265] [,266] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,267] [,268] [,269] [,270] [,271] [,272] [,273] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,274] [,275] [,276] [,277] [,278] [,279] [,280] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,281] [,282] [,283] [,284] [,285] [,286] [,287] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,288] [,289] [,290] [,291] [,292] [,293] [,294] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,295] [,296] [,297] [,298] [,299] [,300] [,301] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,302] [,303] [,304] [,305] [,306] [,307] [,308] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,309] [,310] [,311] [,312] [,313] [,314] [,315] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,316] [,317] [,318] [,319] [,320] [,321] [,322] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,323] [,324] [,325] [,326] [,327] [,328] [,329] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 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0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,351] [,352] [,353] [,354] [,355] [,356] [,357] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,358] [,359] [,360] [,361] [,362] [,363] [,364] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 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0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,701] [,702] [,703] [,704] [,705] [,706] [,707] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,708] [,709] [,710] [,711] [,712] [,713] [,714] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,715] [,716] [,717] [,718] [,719] [,720] [,721] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,722] [,723] [,724] [,725] [,726] [,727] [,728] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,729] [,730] [,731] [,732] [,733] [,734] [,735] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,736] [,737] [,738] [,739] [,740] [,741] [,742] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,743] [,744] [,745] [,746] [,747] [,748] [,749] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,750] [,751] [,752] [,753] [,754] [,755] [,756] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,757] [,758] [,759] [,760] [,761] [,762] [,763] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,764] [,765] [,766] [,767] [,768] [,769] [,770] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,771] [,772] [,773] [,774] [,775] [,776] [,777] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,778] [,779] [,780] [,781] [,782] [,783] [,784] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,785] [,786] [,787] [,788] [,789] [,790] [,791] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,792] [,793] [,794] [,795] [,796] [,797] [,798] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,799] [,800] [,801] [,802] [,803] [,804] [,805] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,806] [,807] [,808] [,809] [,810] [,811] [,812] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,813] [,814] [,815] [,816] [,817] [,818] [,819] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,820] [,821] [,822] [,823] [,824] [,825] [,826] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,827] [,828] [,829] [,830] [,831] [,832] [,833] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> [,834] [,835] [,836] [,837] [,838] [,839] [,840] #> 1 0.00118624 0.00118624 0 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 1 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0 0.00000000 0.00000000 0.00000000 0.00000000 #> [,841] [,842] [,843] [,844] [,845] [,846] #> 1 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 0.00118624 #> 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 #> #> Clustering vector: #> [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [38] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [75] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [112] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [149] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [186] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [223] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [260] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [297] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [334] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [371] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [408] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [445] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [482] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [519] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [556] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [593] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [630] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [667] 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [704] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [741] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [778] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 #> [815] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 #> #> Within cluster sum of squares by cluster: #> [1] 842 0 0 0 #> (between_SS / total_SS = 0.4 %) #> #> Available components: #> #> [1] "cluster" "centers" "totss" "withinss" "tot.withinss" #> [6] "betweenss" "size" "iter" "ifault"