Generate Gaussian Clusters
Arguments
- n
The total number of data points to be generated.
- num_clust
The number of clusters to generate.
- mean_matrix
A matrix where each row represents the mean vector for a cluster.
- var_vec
A vector specifying the variance for each cluster.
- num_dims
The number of effective dimensions for the data points.
- num_noise
The number of additional noise dimensions to be generated.
- min_n
The minimum value for the noise added to the data points.
- max_n
The maximum value for the noise added to the data points.
Examples
set.seed(20240412)
gau_clust(
n = 300, num_clust = 5,
mean_matrix = rbind(
c(1, 0, 0, 0), c(0, 1, 0, 0), c(0, 0, 1, 0),
c(0, 0, 0, 1), c(0, 0, 0, 0)
), var_vec = c(0.05, 0.05, 0.05, 0.05, 0.05),
num_dims = 4, num_noise = 2, min_n = -0.05, max_n = 0.05
)
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 1.065888271 1.155893e-02 -0.0028248202 0.043355399 -1.636529e-02
#> [2,] 0.967892068 2.700506e-02 -0.0565672727 0.050669874 2.224537e-03
#> [3,] 0.935397183 9.359796e-03 -0.0219227720 0.003017822 -1.341185e-02
#> [4,] 1.064240596 -1.794435e-02 0.0903411412 -0.073652551 -1.857520e-02
#> [5,] 1.018875050 -6.293476e-02 0.0034800095 -0.093499215 -4.569429e-02
#> [6,] 0.992292799 2.508501e-02 -0.0018301121 -0.055169416 4.582746e-02
#> [7,] 0.923393696 7.850385e-02 0.0087584391 -0.040002441 -3.455254e-02
#> [8,] 1.019534151 2.847716e-02 0.0573456865 -0.076501464 2.582430e-02
#> [9,] 0.976776618 4.040263e-02 -0.0583115651 -0.040563073 1.039657e-02
#> [10,] 1.148961970 3.300531e-02 -0.0181647854 -0.025479244 -1.376949e-02
#> [11,] 1.018104413 -2.484500e-02 -0.0858407160 -0.012305240 -4.073165e-02
#> [12,] 0.998910960 -1.740868e-02 0.0294708627 0.055490959 4.847071e-02
#> [13,] 1.012690907 4.146446e-02 -0.0094031884 -0.006772876 -2.970373e-02
#> [14,] 0.996382333 1.453406e-02 0.0530385340 0.007672083 6.991699e-05
#> [15,] 0.974518984 5.850721e-02 -0.0280024721 0.024472207 2.383065e-02
#> [16,] 1.019005573 -6.346488e-02 0.1130664959 -0.070043785 -4.223552e-02
#> [17,] 0.984418166 1.368462e-02 0.0820531079 0.013932211 1.261618e-02
#> [18,] 1.017046870 4.016927e-03 -0.0050552601 -0.043019505 4.623033e-02
#> [19,] 1.020397969 6.587756e-02 0.0476367021 -0.005109306 -2.674662e-02
#> [20,] 1.049006888 2.323483e-02 0.0541729784 0.049163190 4.767000e-02
#> [21,] 1.066875366 4.023786e-02 -0.0554606694 0.018712370 -2.139238e-02
#> [22,] 0.950148980 -7.048070e-02 -0.0531451202 -0.035472627 6.776200e-03
#> [23,] 0.992438663 4.125534e-03 -0.0301178809 -0.134900536 2.578724e-02
#> [24,] 0.933618083 1.640820e-02 0.0043618660 0.030354472 4.627391e-02
#> [25,] 1.017382570 7.113662e-03 -0.0456492318 -0.053700618 4.988278e-03
#> [26,] 1.018612289 -4.095574e-02 -0.1440496245 -0.013833392 1.933860e-02
#> [27,] 1.005519074 -2.866340e-02 -0.0073935120 -0.043701769 -2.677462e-02
#> [28,] 1.006784814 -1.764408e-02 -0.0375083402 -0.038932020 -1.975191e-02
#> [29,] 0.956074595 9.754566e-02 -0.0234700700 -0.005816252 4.798282e-02
#> [30,] 1.062728980 8.289040e-02 0.0951455402 0.017404684 -7.112537e-03
#> [31,] 0.990215162 -4.228563e-02 -0.0632394018 0.008840101 8.021953e-03
#> [32,] 0.955226389 -4.462242e-02 0.0710563835 0.017283165 4.239841e-03
#> [33,] 1.018130919 5.021090e-02 -0.1627563806 -0.001642179 2.394034e-02
#> [34,] 1.033394898 -2.111408e-02 0.0019603475 0.042149772 3.145418e-03
#> [35,] 1.013544829 -4.440800e-02 -0.0393466260 -0.032863752 -2.163410e-02
#> [36,] 0.978769870 -2.592817e-02 -0.0525648991 0.094399599 -2.126563e-03
#> [37,] 0.989160924 -1.402369e-02 -0.0065310537 0.049113611 2.195558e-02
#> [38,] 1.050015410 -5.825633e-02 -0.0109372832 0.023850501 3.284489e-03
#> [39,] 1.027336129 -2.664706e-02 -0.0330496008 -0.065924058 4.787364e-02
#> [40,] 0.956166376 6.359599e-02 0.0302401232 0.005595998 4.729554e-02
#> [41,] 0.968458179 -9.268763e-02 0.0203299410 0.008310896 -1.139702e-02
#> [42,] 0.937503847 6.142306e-02 0.0274065517 -0.076233553 -1.521704e-02
#> [43,] 1.095309062 9.809635e-03 0.0493576298 0.050248125 2.190798e-02
#> [44,] 1.063367075 -1.217379e-02 0.0809974346 -0.009373328 -1.470256e-02
#> [45,] 0.936650953 1.400371e-01 -0.0207557859 -0.072934136 -2.105489e-02
#> [46,] 1.040364057 -5.531727e-02 0.0232940068 -0.080225199 4.948568e-02
#> [47,] 0.991113598 4.471806e-02 0.0046997946 -0.015824682 -4.643196e-02
#> [48,] 1.054926921 4.021514e-02 0.0080229677 0.003814820 2.906671e-02
#> [49,] 1.016496610 -2.970837e-03 -0.0751120596 -0.011829216 -4.218292e-02
#> [50,] 1.035293299 2.399767e-02 0.0539979096 -0.008991393 4.991574e-02
#> [51,] 1.125937962 -5.140767e-02 -0.1342892042 0.004305581 -4.200190e-02
#> [52,] 1.012076002 4.376590e-02 -0.0203078396 -0.028233408 -1.333662e-02
#> [53,] 1.054386192 -6.094579e-02 0.0694048412 -0.046806292 -2.654866e-02
#> [54,] 0.969709993 6.975678e-03 -0.0183803388 0.011389586 -2.783990e-02
#> [55,] 1.057468567 -4.143359e-02 -0.0063490057 -0.008893490 -4.780630e-02
#> [56,] 0.984413780 8.128411e-03 0.0009034067 0.034771926 4.970827e-02
#> [57,] 1.008786265 3.386463e-02 -0.0504333384 0.035220816 3.006407e-03
#> [58,] 0.927964859 5.269478e-02 -0.0022130705 -0.076881494 8.176925e-03
#> [59,] 0.949959366 5.061137e-02 -0.0197629483 0.005587806 4.956267e-02
#> [60,] 0.994509457 8.428144e-02 -0.0008822339 0.091037622 -1.627479e-02
#> [61,] -0.035328177 9.845086e-01 0.0101642891 -0.030884556 -1.695537e-03
#> [62,] 0.081242007 9.438558e-01 0.0315458345 0.056394725 -4.294849e-02
#> [63,] -0.015459419 9.156110e-01 -0.0893369602 -0.067097950 -1.343644e-02
#> [64,] 0.049102472 1.056988e+00 0.0053537407 0.043075394 -2.834701e-02
#> [65,] -0.013601442 1.051932e+00 -0.0759207484 0.050856686 2.343479e-02
#> [66,] 0.089069756 9.030271e-01 0.0397527114 0.004273613 -3.167909e-02
#> [67,] 0.026646567 1.085056e+00 -0.0677997246 0.013914283 1.233606e-02
#> [68,] 0.028615787 9.804797e-01 0.0650981813 0.028779522 -1.595814e-02
#> [69,] 0.006484737 9.973788e-01 -0.0249915490 -0.078733837 -2.958210e-03
#> [70,] -0.076551231 1.013356e+00 -0.0086995766 0.129898720 3.158711e-02
#> [71,] -0.012405546 9.744679e-01 -0.0515312185 -0.019954947 1.725153e-02
#> [72,] -0.047259734 9.859045e-01 -0.0189481113 -0.021100988 3.596430e-03
#> [73,] 0.043332304 9.791187e-01 0.0441696990 -0.103633123 4.273322e-02
#> [74,] 0.023935603 1.037689e+00 0.0164879688 0.009061329 -4.458161e-02
#> [75,] -0.016304191 9.509659e-01 -0.0556936046 0.032238194 -3.275242e-02
#> [76,] 0.012158230 1.026462e+00 -0.0581533129 -0.071623861 1.450788e-02
#> [77,] 0.069628186 1.024652e+00 -0.0135085123 0.026074108 -2.351118e-03
#> [78,] -0.024522988 9.371883e-01 -0.0055377701 -0.030985479 -1.977617e-02
#> [79,] -0.009947305 1.015071e+00 -0.0083628364 0.045792442 3.313871e-02
#> [80,] -0.039924050 9.310522e-01 0.1308436567 0.044552065 -2.347922e-02
#> [81,] -0.038412713 9.453104e-01 -0.0124491338 0.019507663 -8.599617e-03
#> [82,] -0.006513210 9.769655e-01 0.0641481260 -0.028414707 -4.361080e-02
#> [83,] -0.026618393 9.795593e-01 -0.0071573339 -0.060567727 3.581735e-02
#> [84,] 0.003585330 1.040487e+00 0.0101857967 -0.033919966 -2.593632e-02
#> [85,] 0.021150459 1.010176e+00 0.0059945335 -0.026149274 1.919897e-02
#> [86,] -0.026690883 9.646388e-01 -0.0548312377 0.065786268 -3.999030e-02
#> [87,] -0.022174158 9.167271e-01 -0.0304713105 -0.079585738 1.818160e-03
#> [88,] 0.044440286 1.060115e+00 0.0538962754 0.069110477 3.022244e-02
#> [89,] 0.035299429 1.029633e+00 0.0072891433 0.010903015 3.515036e-02
#> [90,] -0.045311453 1.016051e+00 -0.0128642537 -0.019286849 4.743709e-02
#> [91,] -0.018331998 9.683970e-01 0.0146515473 0.053480095 -4.547735e-02
#> [92,] -0.094385202 1.001547e+00 0.0104417030 -0.037115981 -4.286151e-02
#> [93,] 0.055425265 1.007535e+00 -0.0700005702 -0.054029262 -3.121946e-02
#> [94,] 0.009886321 1.088194e+00 -0.0070790340 -0.023645125 -4.569175e-03
#> [95,] -0.048431027 1.059902e+00 -0.0188307080 0.004806090 5.641874e-03
#> [96,] 0.001844253 9.225677e-01 -0.0028216008 -0.046747572 4.250327e-02
#> [97,] -0.052253870 1.023900e+00 0.0313699754 0.053110714 3.357234e-03
#> [98,] 0.036317374 1.026081e+00 0.0240660247 -0.081378484 -5.549375e-04
#> [99,] -0.053909328 9.288535e-01 0.0513185334 -0.054248121 -2.555933e-02
#> [100,] -0.112129809 9.720851e-01 0.0495688098 -0.004564382 2.165986e-02
#> [101,] 0.006152877 1.025086e+00 -0.0178401442 -0.042970657 2.600802e-02
#> [102,] -0.011023788 9.300220e-01 -0.0375745154 -0.055678032 -4.266945e-02
#> [103,] 0.026504690 1.079617e+00 -0.0336614738 -0.011563494 1.312419e-02
#> [104,] -0.042589877 9.712218e-01 0.0888387485 -0.038883701 -3.457974e-02
#> [105,] 0.073421730 9.331954e-01 0.0321521821 -0.034831600 3.813075e-02
#> [106,] -0.008393931 9.226315e-01 -0.0070047787 0.006453957 4.583308e-02
#> [107,] -0.041801438 9.290396e-01 0.0762643633 -0.014738532 3.153494e-02
#> [108,] 0.014590984 9.263375e-01 0.0302586227 0.026008770 -1.656454e-02
#> [109,] 0.051739319 1.033900e+00 0.0807670195 -0.006674470 4.074052e-02
#> [110,] 0.014064551 9.968784e-01 -0.0321887529 -0.025340024 -5.229591e-03
#> [111,] -0.002157658 9.592049e-01 -0.1209826633 -0.033523287 4.289947e-02
#> [112,] 0.011984284 9.570450e-01 0.0081503673 0.032009804 -4.693646e-02
#> [113,] 0.056586780 9.424975e-01 -0.0507292523 -0.024659246 4.079205e-02
#> [114,] -0.017708015 1.045866e+00 0.0308173838 0.085945969 4.593775e-02
#> [115,] -0.017830810 1.036551e+00 -0.0002154313 -0.072935760 -3.207291e-02
#> [116,] -0.017083588 1.063053e+00 -0.0317360569 -0.013007695 -4.309148e-02
#> [117,] -0.015148545 9.530852e-01 -0.1052470497 -0.023119542 4.208677e-02
#> [118,] -0.004780701 1.074676e+00 0.0254802286 -0.041544169 3.084040e-02
#> [119,] 0.004572058 9.706006e-01 0.0330457975 -0.029306130 -3.804917e-03
#> [120,] -0.035086328 9.179110e-01 0.0027499280 0.050364521 -1.082145e-02
#> [121,] -0.085051285 -3.646887e-02 0.9913488762 0.065507046 -8.248837e-03
#> [122,] -0.038304918 -7.514657e-02 1.0309606354 -0.030699977 -2.394960e-02
#> [123,] 0.027365206 -9.882285e-02 1.0086437045 0.032775520 -4.812042e-02
#> [124,] -0.070349805 -5.758031e-02 1.0366386790 0.019225349 4.655695e-02
#> [125,] 0.094911105 5.822307e-02 1.0052424965 -0.039231787 4.746066e-02
#> [126,] 0.046516860 2.127034e-03 1.0456405149 0.124252592 -1.690880e-02
#> [127,] 0.090292831 -1.342696e-02 1.0524021492 0.009034555 -3.542551e-02
#> [128,] 0.027905964 1.160132e-02 1.0135764592 -0.045794038 -2.490102e-02
#> [129,] 0.019896665 -3.575892e-02 1.0843572643 0.064397906 -4.686855e-02
#> [130,] 0.036286100 2.427904e-02 1.0021911341 -0.019133318 4.568508e-02
#> [131,] 0.075293256 4.788805e-02 1.0854777401 0.041652120 -1.694252e-03
#> [132,] 0.007520230 1.626115e-02 1.0203360159 -0.024212534 -2.421517e-02
#> [133,] -0.015931137 -3.392143e-03 0.8875897644 0.001678849 1.448532e-02
#> [134,] -0.067476743 3.456905e-02 1.0405605506 0.003389206 3.271302e-02
#> [135,] 0.075811192 -2.818549e-02 1.0226414428 -0.008037322 -6.234291e-03
#> [136,] 0.005799540 -5.139786e-02 1.0454434408 0.051888451 -4.804818e-02
#> [137,] 0.007472601 -9.474133e-03 1.0477151938 0.074478811 -8.559206e-05
#> [138,] -0.042908611 2.821401e-02 1.0029540332 0.052806595 -2.051229e-03
#> [139,] -0.042941278 2.243489e-02 1.0796736358 -0.049254594 -4.483748e-02
#> [140,] -0.014508897 6.993325e-02 1.0636535924 -0.033788673 1.087038e-02
#> [141,] 0.049537581 -4.418934e-02 1.0321791773 0.034933338 -3.384040e-03
#> [142,] -0.057312195 4.831921e-02 0.9564683310 0.113990073 -4.725878e-02
#> [143,] 0.039380137 -5.962204e-02 0.9827821454 0.033399117 -4.406941e-02
#> [144,] 0.019387236 -1.052856e-02 0.9924997858 -0.081011613 1.295361e-02
#> [145,] -0.036733093 4.679421e-05 1.0524449260 -0.058728599 2.167122e-02
#> [146,] 0.046460424 -2.470802e-02 0.9836576710 -0.010591476 -4.919681e-02
#> [147,] 0.012895380 3.327731e-02 0.9718063500 0.023302257 -3.184544e-02
#> [148,] -0.011800993 -2.657109e-03 1.0329088012 -0.076696813 -1.948746e-02
#> [149,] 0.018250073 -1.248055e-01 1.0054484150 -0.057110985 2.529822e-02
#> [150,] -0.031515216 -1.334599e-02 0.9993426530 -0.058468094 9.170931e-03
#> [151,] 0.029537093 -6.120481e-02 0.9466947882 0.093905192 -1.527652e-02
#> [152,] -0.006164119 5.225142e-02 1.0635787843 -0.011065773 2.237138e-02
#> [153,] -0.002062637 -3.657979e-02 1.0566798190 0.039304840 9.025664e-03
#> [154,] -0.087763808 -9.619617e-03 1.0031589816 -0.046286908 3.841776e-02
#> [155,] 0.065962556 2.794777e-02 1.0567137403 -0.004441563 1.986252e-02
#> [156,] -0.001731481 1.720317e-02 1.0377840659 -0.054198474 -2.024381e-03
#> [157,] -0.003173674 -3.075895e-02 1.0431402105 0.115522815 -3.638958e-03
#> [158,] 0.141941562 1.059424e-01 0.9639641934 0.036643496 4.160269e-02
#> [159,] -0.023132103 5.632095e-02 0.9702460004 -0.009707397 -2.210917e-02
#> [160,] 0.057900830 6.296028e-03 0.9869420090 -0.073802097 9.798289e-03
#> [161,] -0.027307835 4.939952e-02 1.1036113161 0.034831906 2.813212e-02
#> [162,] -0.045629893 -5.731689e-02 0.9617371497 0.079376741 1.161731e-02
#> [163,] 0.062077555 -1.829916e-03 1.0005571253 0.039799586 -7.181504e-03
#> [164,] -0.062091335 -6.468131e-02 0.9552088772 0.010320968 3.274150e-02
#> [165,] 0.018645948 1.920006e-02 1.0015175737 0.001259680 2.195759e-02
#> [166,] -0.027451644 9.566163e-02 1.0549364143 -0.015001235 1.017579e-02
#> [167,] 0.061981499 8.618565e-03 0.9921736882 -0.130953851 -4.184624e-02
#> [168,] 0.054056296 -4.890321e-02 0.9917980615 -0.013644478 3.240644e-02
#> [169,] -0.102643525 -7.166324e-02 0.9457158525 0.053846197 -4.793698e-02
#> [170,] -0.048779839 -2.143125e-02 0.9439841358 -0.095366078 4.696704e-02
#> [171,] 0.034705332 2.186236e-02 0.8925351215 -0.108009644 2.402314e-02
#> [172,] -0.036241895 -4.011914e-02 0.9902054351 0.015871560 -2.001644e-02
#> [173,] 0.027195571 -7.526343e-02 0.9236040238 0.023616750 2.770050e-02
#> [174,] 0.006614102 8.751798e-03 0.9726617384 0.035486768 -3.930738e-03
#> [175,] -0.034897837 -4.177927e-02 1.0349706476 0.026585118 2.764713e-02
#> [176,] 0.004805214 5.544970e-02 1.0465242665 0.012394845 -4.944980e-02
#> [177,] 0.020929503 -1.049143e-01 1.0386930950 0.070753895 -8.236953e-03
#> [178,] -0.007020809 1.543353e-02 1.0187138799 0.011947896 3.023053e-02
#> [179,] -0.062183903 1.604099e-02 1.0101677714 0.084470774 1.955693e-02
#> [180,] 0.031289563 -1.982588e-02 1.0118758251 0.055373978 -4.117295e-02
#> [181,] -0.025004467 -6.854813e-02 0.0088456820 1.033170555 4.636580e-02
#> [182,] -0.037815282 1.533315e-02 0.0176415935 0.988574398 3.212397e-02
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#> [183,] -3.757337e-02
#> [184,] 1.374055e-02
#> [185,] -1.313869e-02
#> [186,] -4.040160e-02
#> [187,] 2.814390e-02
#> [188,] 2.463870e-02
#> [189,] -3.547120e-02
#> [190,] -3.341442e-02
#> [191,] 2.429026e-02
#> [192,] 1.993372e-02
#> [193,] 1.338825e-02
#> [194,] 4.514059e-02
#> [195,] -3.350452e-02
#> [196,] -1.250297e-02
#> [197,] -1.774048e-02
#> [198,] -4.320934e-02
#> [199,] 2.429277e-02
#> [200,] 3.501206e-02
#> [201,] 4.045311e-02
#> [202,] -3.129198e-02
#> [203,] -1.935798e-02
#> [204,] 1.037647e-03
#> [205,] 4.306777e-02
#> [206,] 3.460671e-02
#> [207,] 4.177815e-02
#> [208,] -8.869496e-03
#> [209,] -3.471472e-02
#> [210,] -3.079085e-02
#> [211,] 2.586799e-02
#> [212,] 1.473175e-02
#> [213,] -1.238128e-02
#> [214,] -2.117140e-02
#> [215,] -1.160142e-02
#> [216,] -3.765488e-02
#> [217,] 6.447285e-03
#> [218,] 3.134232e-02
#> [219,] -3.567554e-03
#> [220,] -4.305765e-02
#> [221,] -3.287951e-02
#> [222,] 2.894529e-02
#> [223,] -3.999188e-02
#> [224,] -3.823197e-02
#> [225,] -3.094601e-02
#> [226,] 4.190498e-02
#> [227,] -4.235367e-02
#> [228,] 3.708997e-02
#> [229,] -2.700184e-03
#> [230,] -2.154518e-02
#> [231,] 3.521341e-02
#> [232,] -4.113018e-02
#> [233,] 2.685297e-02
#> [234,] -2.965704e-02
#> [235,] 1.825985e-02
#> [236,] -7.389881e-03
#> [237,] -2.757974e-02
#> [238,] -4.603738e-03
#> [239,] 8.885216e-04
#> [240,] -3.778235e-02
#> [241,] -3.089138e-02
#> [242,] 3.559450e-03
#> [243,] -4.653795e-02
#> [244,] 2.192818e-02
#> [245,] 2.271448e-02
#> [246,] 1.962436e-02
#> [247,] -3.174975e-02
#> [248,] -4.505909e-02
#> [249,] 1.530852e-02
#> [250,] 4.522111e-02
#> [251,] 2.363636e-02
#> [252,] -6.830867e-04
#> [253,] 3.961406e-02
#> [254,] 1.772474e-02
#> [255,] -4.463025e-02
#> [256,] -1.259472e-02
#> [257,] -5.567049e-04
#> [258,] 8.778661e-03
#> [259,] -1.659580e-03
#> [260,] -1.191862e-02
#> [261,] -3.202104e-02
#> [262,] 2.628882e-03
#> [263,] 2.443555e-02
#> [264,] 2.574609e-02
#> [265,] -4.289312e-02
#> [266,] 7.759684e-03
#> [267,] 3.906299e-02
#> [268,] -2.608614e-02
#> [269,] 4.270295e-02
#> [270,] -1.387756e-02
#> [271,] -1.974681e-02
#> [272,] -1.468811e-02
#> [273,] 3.571725e-02
#> [274,] -2.849413e-02
#> [275,] -1.622426e-02
#> [276,] 4.297363e-02
#> [277,] -2.848153e-02
#> [278,] -1.093619e-02
#> [279,] -2.283338e-02
#> [280,] -3.871867e-02
#> [281,] 1.886178e-02
#> [282,] 3.420622e-02
#> [283,] -1.994977e-02
#> [284,] 3.164221e-02
#> [285,] -3.328469e-02
#> [286,] -3.784973e-02
#> [287,] -2.611218e-02
#> [288,] 2.860999e-02
#> [289,] -2.366030e-02
#> [290,] -2.996860e-02
#> [291,] 7.427214e-03
#> [292,] 3.970157e-02
#> [293,] 2.195209e-02
#> [294,] 3.600596e-02
#> [295,] 4.273254e-02
#> [296,] 4.676937e-02
#> [297,] -3.858613e-02
#> [298,] 2.336692e-02
#> [299,] 1.325866e-02
#> [300,] 2.264760e-02