This function generates a dataset arranged in a spiral pattern with optional noise.
Arguments
- n
Total number of data points to generate.
- num_dims
Number of effective dimensions for each data point.
- num_noise
Number of additional noise dimensions to add to the data.
- min_n
Minimum value for the noise added to the data.
- max_n
Maximum value for the noise added to the data.
Examples
set.seed(20240412)
spiral_3d(n = 100, num_dims = 10, num_noise = 2, min_n = -0.05, max_n = 0.05)
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] -0.439112258 0.0427584121 -4.163586e-03 4.054279e-04 -3.947840e-05
#> [2,] -1.162891415 1.0326564554 -9.170068e-01 8.143091e-01 -7.231127e-01
#> [3,] 0.616623480 -0.3594179731 2.094978e-01 -1.221123e-01 7.117689e-02
#> [4,] -0.872298453 -0.6776035480 -5.263641e-01 -4.088809e-01 -3.176197e-01
#> [5,] 0.014110930 0.0004058330 1.167184e-05 3.356842e-07 9.654342e-09
#> [6,] 0.519877205 0.5154836421 5.111272e-01 5.068076e-01 5.025245e-01
#> [7,] -0.040384530 0.0003622093 -3.248659e-06 2.913726e-08 -2.613324e-10
#> [8,] 1.027601537 0.5292064218 2.725370e-01 1.403543e-01 7.228134e-02
#> [9,] 1.611036044 -1.1898789351 8.788207e-01 -6.490794e-01 4.793970e-01
#> [10,] -1.342482766 1.0729532471 -8.575370e-01 6.853698e-01 -5.477685e-01
#> [11,] 1.029051287 0.8442528612 6.926408e-01 5.682554e-01 4.662073e-01
#> [12,] 0.253977652 0.2519700010 2.499782e-01 2.480022e-01 2.460418e-01
#> [13,] 0.144455983 0.0797913559 4.407336e-02 2.434425e-02 1.344673e-02
#> [14,] -0.329662221 0.2988278239 -2.708775e-01 2.455414e-01 -2.225751e-01
#> [15,] 1.626794727 -1.1139113892 7.627260e-01 -5.222596e-01 3.576056e-01
#> [16,] -0.074938088 0.0749145653 -7.489105e-02 7.486754e-02 -7.484404e-02
#> [17,] -0.495208057 -0.1615567939 -5.270633e-02 -1.719492e-02 -5.609676e-03
#> [18,] 0.974991432 0.4600587254 2.170830e-01 1.024326e-01 4.833377e-02
#> [19,] -0.113273921 0.1132447495 -1.132156e-01 1.131864e-01 -1.131573e-01
#> [20,] -1.662003733 0.6482627786 -2.528542e-01 9.862551e-02 -3.846878e-02
#> [21,] 1.544647046 -1.2300110147 9.794646e-01 -7.799531e-01 6.210810e-01
#> [22,] 0.056960525 0.0007217050 9.144195e-06 1.158594e-07 1.467969e-09
#> [23,] 0.331123158 0.0450515394 6.129566e-03 8.339688e-04 1.134671e-04
#> [24,] 0.063481581 0.0561864761 4.972970e-02 4.401492e-02 3.895686e-02
#> [25,] 0.008577614 -0.0085775785 8.577543e-03 -8.577508e-03 8.577473e-03
#> [26,] -0.823609694 0.1513738103 -2.782147e-02 5.113395e-03 -9.398069e-04
#> [27,] 0.927075359 0.4057583052 1.775905e-01 7.772705e-02 3.401924e-02
#> [28,] 0.144538991 0.0732646885 3.713679e-02 1.882409e-02 9.541656e-03
#> [29,] -0.123099435 -0.0099642300 -8.065502e-04 -6.528586e-05 -5.284535e-06
#> [30,] 1.599712026 -0.9932317507 6.166793e-01 -3.828848e-01 2.377261e-01
#> [31,] 1.617190318 -1.1776862653 8.576263e-01 -6.245491e-01 4.548153e-01
#> [32,] -0.376355231 0.2684783340 -1.915228e-01 1.366255e-01 -9.746375e-02
#> [33,] -0.609595011 -0.5724397350 -5.375491e-01 -5.047851e-01 -4.740180e-01
#> [34,] 0.024458773 0.0012379013 6.265235e-05 3.170945e-06 1.604871e-07
#> [35,] 1.373670507 -1.1886470967 1.028545e+00 -8.900075e-01 7.701300e-01
#> [36,] 0.012083252 0.0118486040 1.161851e-02 1.139289e-02 1.117165e-02
#> [37,] 1.589589117 -0.9673849752 5.887268e-01 -3.582847e-01 2.180433e-01
#> [38,] 0.164590099 -0.1625054095 1.604471e-01 -1.584149e-01 1.564084e-01
#> [39,] 1.905706346 1.6011187672 1.345213e+00 1.130209e+00 9.495684e-01
#> [40,] -0.380175467 0.2794364310 -2.053913e-01 1.509666e-01 -1.109634e-01
#> [41,] -0.666604002 0.0988100402 -1.464651e-02 2.171038e-03 -3.218108e-04
#> [42,] 0.595472727 -0.4623707716 3.590202e-01 -2.787709e-01 2.164591e-01
#> [43,] -0.381278059 0.3062536134 -2.459918e-01 1.975878e-01 -1.587082e-01
#> [44,] -0.738948832 0.2203329382 -6.569684e-02 1.958888e-02 -5.840830e-03
#> [45,] 1.044830945 0.8462647441 6.854353e-01 5.551709e-01 4.496628e-01
#> [46,] 1.119683956 0.8110979708 5.875586e-01 4.256269e-01 3.083237e-01
#> [47,] 0.056247432 0.0069192137 8.511592e-04 1.047044e-04 1.288009e-05
#> [48,] -0.627624059 0.6123035419 -5.973570e-01 5.827753e-01 -5.685496e-01
#> [49,] 1.437473116 -1.2143153932 1.025801e+00 -8.665528e-01 7.320265e-01
#> [50,] -0.781599976 0.7503838378 -7.204144e-01 6.916420e-01 -6.640186e-01
#> [51,] 1.594138938 -1.2098305007 9.181696e-01 -6.968210e-01 5.288343e-01
#> [52,] -1.692950346 0.6749027786 -2.690532e-01 1.072594e-01 -4.275946e-02
#> [53,] -1.335349968 0.8503204461 -5.414647e-01 3.447924e-01 -2.195559e-01
#> [54,] -0.198084471 0.1933085305 -1.886477e-01 1.840993e-01 -1.796606e-01
#> [55,] -1.374169470 1.0303414629 -7.725419e-01 5.792459e-01 -4.343140e-01
#> [56,] -1.243241382 0.3509339703 -9.905932e-02 2.796181e-02 -7.892876e-03
#> [57,] -0.149006457 0.1471106652 -1.452390e-01 1.433911e-01 -1.415668e-01
#> [58,] 1.078821558 0.2721927598 6.867577e-02 1.732728e-02 4.371771e-03
#> [59,] 0.337290965 0.0254900507 1.926357e-03 1.455803e-04 1.100192e-05
#> [60,] -0.868737950 0.8547654287 -8.410176e-01 8.274910e-01 -8.141818e-01
#> [61,] 0.683930400 0.6419406005 6.025288e-01 5.655366e-01 5.308156e-01
#> [62,] -0.363509267 0.2419300181 -1.610141e-01 1.071614e-01 -7.132020e-02
#> [63,] -0.206800450 0.2012875048 -1.959215e-01 1.906986e-01 -1.856149e-01
#> [64,] -0.381463686 0.2842577383 -2.118222e-01 1.578449e-01 -1.176223e-01
#> [65,] 1.547770696 -1.2295797387 9.768025e-01 -7.759913e-01 6.164629e-01
#> [66,] 1.348075084 -1.1762498578 1.026325e+00 -8.955103e-01 7.813688e-01
#> [67,] -1.865686447 -1.2750258336 -8.713634e-01 -5.954971e-01 -4.069677e-01
#> [68,] -2.295312095 1.4270624209 -8.872463e-01 5.516269e-01 -3.429625e-01
#> [69,] 0.319952550 -0.3181479313 3.163535e-01 -3.145692e-01 3.127949e-01
#> [70,] 0.143813778 0.0817985629 4.652548e-02 2.646281e-02 1.505155e-02
#> [71,] -0.754093743 -0.3996855389 -2.118417e-01 -1.122806e-01 -5.951107e-02
#> [72,] -0.816484943 -0.1918181154 -4.506414e-02 -1.058699e-02 -2.487218e-03
#> [73,] 0.446447308 0.4354038889 4.246336e-01 4.141298e-01 4.038858e-01
#> [74,] -1.875539234 -1.3764098350 -1.010112e+00 -7.412949e-01 -5.440172e-01
#> [75,] 2.027579349 1.6133707238 1.283780e+00 1.021520e+00 8.128363e-01
#> [76,] -0.253409218 0.0142362438 -7.997761e-04 4.493052e-05 -2.524146e-06
#> [77,] -0.424661174 -0.0513397443 -6.206758e-03 -7.503709e-04 -9.071668e-05
#> [78,] 0.026939663 0.0015075004 8.435731e-05 4.720500e-06 2.641516e-07
#> [79,] -0.142307802 0.1406700366 -1.390511e-01 1.374508e-01 -1.358690e-01
#> [80,] 0.136008325 -0.1348242125 1.336504e-01 -1.324868e-01 1.313334e-01
#> [81,] 0.596699825 -0.3191439156 1.706936e-01 -9.129519e-02 4.882908e-02
#> [82,] -0.098432424 0.0176679025 -3.171260e-03 5.692180e-04 -1.021705e-04
#> [83,] -0.046755410 0.0041542099 -3.691008e-04 3.279454e-05 -2.913789e-06
#> [84,] -1.869003374 -1.2894026193 -8.895431e-01 -6.136850e-01 -4.233738e-01
#> [85,] -1.886895845 1.7033393069 -1.537639e+00 1.388058e+00 -1.253028e+00
#> [86,] 2.098207247 1.3280500500 8.405828e-01 5.320428e-01 3.367539e-01
#> [87,] 0.177205955 0.0070032498 2.767712e-04 1.093811e-05 4.322784e-07
#> [88,] -0.294290997 0.2749809356 -2.569379e-01 2.400788e-01 -2.243259e-01
#> [89,] -0.020771975 0.0008419290 -3.412504e-05 1.383155e-06 -5.606198e-08
#> [90,] 1.549425586 -1.2293190269 9.753455e-01 -7.738421e-01 6.139687e-01
#> [91,] -0.595858498 -0.5888807578 -5.819847e-01 -5.751695e-01 -5.684340e-01
#> [92,] -0.954011894 0.3767938037 -1.488174e-01 5.877649e-02 -2.321420e-02
#> [93,] 0.857955325 0.7676702712 6.868862e-01 6.146032e-01 5.499268e-01
#> [94,] 1.088969761 0.6328276871 3.677521e-01 2.137100e-01 1.241922e-01
#> [95,] 1.954019321 1.0466199259 5.605949e-01 3.002682e-01 1.608309e-01
#> [96,] -0.204133617 0.1988547775 -1.937124e-01 1.887031e-01 -1.838233e-01
#> [97,] 1.251326512 -1.1213424657 1.004861e+00 -9.004788e-01 8.069398e-01
#> [98,] -0.846198010 -0.5413540454 -3.463305e-01 -2.215645e-01 -1.417456e-01
#> [99,] -1.809171494 -1.4613798006 -1.180447e+00 -9.535200e-01 -7.702172e-01
#> [100,] -0.115061938 0.0238879142 -4.959350e-03 1.029607e-03 -2.137558e-04
#> [,6] [,7] [,8] [,9] [,10]
#> [1,] 3.844197e-06 -3.743274e-07 3.645001e-08 -3.549307e-09 -0.44120897
#> [2,] 6.421296e-01 -5.702160e-01 5.063561e-01 -4.496481e-01 -2.52896654
#> [3,] -4.148764e-02 2.418235e-02 -1.409543e-02 8.215953e-03 -0.75886732
#> [4,] -2.467277e-01 -1.916587e-01 -1.488809e-01 -1.156511e-01 1.38516271
#> [5,] 2.776607e-10 7.985575e-12 2.296667e-13 6.605257e-15 0.01411677
#> [6,] 4.982776e-01 4.940666e-01 4.898911e-01 4.857510e-01 4.00725771
#> [7,] 2.343893e-12 -2.102240e-14 1.885501e-16 -1.691108e-18 -0.04038615
#> [8,] 3.722430e-02 1.917021e-02 9.872503e-03 5.084259e-03 1.19879543
#> [9,] -3.540730e-01 2.615112e-01 -1.931470e-01 1.426545e-01 -2.38967304
#> [10,] 4.377933e-01 -3.498978e-01 2.796490e-01 -2.235040e-01 -2.23365709
#> [11,] 3.824852e-01 3.137980e-01 2.574457e-01 2.112133e-01 1.79978554
#> [12,] 2.440968e-01 2.421673e-01 2.402530e-01 2.383538e-01 2.02392333
#> [13,] 7.427405e-03 4.102583e-03 2.266093e-03 1.251694e-03 0.17329021
#> [14,] 2.017569e-01 -1.828859e-01 1.657800e-01 -1.502741e-01 -0.78067708
#> [15,] -2.448625e-01 1.676641e-01 -1.148043e-01 7.860965e-02 -2.23215826
#> [16,] 7.482055e-02 -7.479706e-02 7.477358e-02 -7.475011e-02 -2.99108510
#> [17,] -1.830102e-03 -5.970529e-04 -1.947827e-04 -6.354595e-05 0.52387065
#> [18,] 2.280674e-02 1.076157e-02 5.077946e-03 2.396076e-03 1.10584134
#> [19,] 1.131281e-01 -1.130990e-01 1.130699e-01 -1.130408e-01 -4.99149006
#> [20,] 1.500470e-02 -5.852569e-03 2.282788e-03 -8.903991e-04 -1.80496777
#> [21,] -4.945702e-01 3.938290e-01 -3.136082e-01 2.497280e-01 -2.55358050
#> [22,] 1.859956e-11 2.356614e-13 2.985893e-15 3.783206e-17 0.05696510
#> [23,] 1.543796e-05 2.100439e-06 2.857789e-07 3.888214e-08 0.33423116
#> [24,] 3.448006e-02 3.051772e-02 2.701072e-02 2.390673e-02 0.13639253
#> [25,] -8.577438e-03 8.577403e-03 -8.577368e-03 8.577333e-03 -3.00089758
#> [26,] 1.727301e-04 -3.174660e-05 5.834807e-06 -1.072398e-06 -0.83788308
#> [27,] 1.488939e-02 6.516724e-03 2.852211e-03 1.248343e-03 1.03107708
#> [28,] 4.836525e-03 2.451564e-03 1.242662e-03 6.298868e-04 0.16767601
#> [29,] -4.277544e-07 -3.462439e-08 -2.802656e-09 -2.268598e-10 0.12350470
#> [30,] -1.475998e-01 9.164199e-02 -5.689883e-02 3.532743e-02 -2.04069795
#> [31,] -3.312101e-01 2.411971e-01 -1.756469e-01 1.279113e-01 -2.35971474
#> [32,] 6.952715e-02 -4.959817e-02 3.538156e-02 -2.523994e-02 -0.53704153
#> [33,] -4.451263e-01 -4.179955e-01 -3.925184e-01 -3.685941e-01 1.77319885
#> [34,] 8.122532e-09 4.110955e-10 2.080626e-11 1.053041e-12 0.02449016
#> [35,] -6.663991e-01 5.766400e-01 -4.989708e-01 4.317630e-01 -2.74053484
#> [36,] 1.095470e-02 1.074197e-02 1.053337e-02 1.032882e-02 0.06161276
#> [37,] -1.326958e-01 8.075541e-02 -4.914576e-02 2.990891e-02 -2.00327305
#> [38,] -1.544274e-01 1.524714e-01 -1.505402e-01 1.486335e-01 -1.03740751
#> [39,] 7.977996e-01 6.702879e-01 5.631563e-01 4.731475e-01 3.51397617
#> [40,] 8.156029e-02 -5.994842e-02 4.406326e-02 -3.238736e-02 -0.56069288
#> [41,] 4.770168e-05 -7.070773e-06 1.048094e-06 -1.553578e-07 -0.67405019
#> [42,] -1.680755e-01 1.305067e-01 -1.013354e-01 7.868462e-02 -0.94497609
#> [43,] 1.274791e-01 -1.023949e-01 8.224655e-02 -6.606281e-02 -0.64008239
#> [44,] 1.741565e-03 -5.192837e-04 1.548352e-04 -4.616734e-05 -0.77416356
#> [45,] 3.642060e-01 2.949900e-01 2.389283e-01 1.935209e-01 1.78148692
#> [46,] 2.233494e-01 1.617941e-01 1.172035e-01 8.490208e-02 1.62418763
#> [47,] 1.584430e-06 1.949068e-07 2.397624e-08 2.949410e-09 0.05667790
#> [48,] 5.546711e-01 -5.411314e-01 5.279222e-01 -5.150354e-01 -2.85801360
#> [49,] -6.183845e-01 5.223846e-01 -4.412880e-01 3.727811e-01 -2.68611165
#> [50,] 6.374986e-01 -6.120377e-01 5.875936e-01 -5.641259e-01 -2.79352394
#> [51,] -4.013451e-01 3.045905e-01 -2.311611e-01 1.754337e-01 -2.44808077
#> [52,] 1.704626e-02 -6.795575e-03 2.709088e-03 -1.079991e-03 -1.84598015
#> [53,] 1.398082e-01 -8.902669e-02 5.669017e-02 -3.609901e-02 -1.73186397
#> [54,] 1.753288e-01 -1.711016e-01 1.669762e-01 -1.629503e-01 -0.90753813
#> [55,] 3.256452e-01 -2.441662e-01 1.830739e-01 -1.372674e-01 -2.07680915
#> [56,] 2.227949e-03 -6.288907e-04 1.775191e-04 -5.010892e-05 -1.29594216
#> [57,] 1.397656e-01 -1.379874e-01 1.362318e-01 -1.344986e-01 -0.93709390
#> [58,] 1.103023e-03 2.782988e-04 7.021636e-05 1.771598e-05 1.11489096
#> [59,] 8.314472e-07 6.283486e-08 4.748612e-09 3.588663e-10 0.33825829
#> [60,] 8.010868e-01 -7.882023e-01 7.755251e-01 -7.630518e-01 -4.86333440
#> [61,] 4.982262e-01 4.676377e-01 4.389272e-01 4.119793e-01 1.98244560
#> [62,] 4.746646e-02 -3.159084e-02 2.102497e-02 -1.399296e-02 -0.48704148
#> [63,] 1.806667e-01 -1.758505e-01 1.711626e-01 -1.665997e-01 -0.90164222
#> [64,] 8.764935e-02 -6.531422e-02 4.867062e-02 -3.626820e-02 -0.57202330
#> [65,] -4.897303e-01 3.890515e-01 -3.090702e-01 2.455315e-01 -2.54832012
#> [66,] -6.817758e-01 5.948769e-01 -5.190541e-01 4.528956e-01 -2.75938356
#> [67,] -2.781252e-01 -1.900731e-01 -1.298975e-01 -8.877308e-02 2.55560795
#> [68,] 2.132298e-01 -1.325712e-01 8.242336e-02 -5.124501e-02 -2.93056354
#> [69,] -3.110307e-01 3.092764e-01 -3.075320e-01 3.057974e-01 -3.01671198
#> [70,] 8.561037e-03 4.869356e-03 2.769598e-03 1.575295e-03 0.17485193
#> [71,] -3.154212e-02 -1.671798e-02 -8.860883e-03 -4.696455e-03 0.88927774
#> [72,] -5.843262e-04 -1.372767e-04 -3.225063e-05 -7.576693e-06 0.83999480
#> [73,] 3.938952e-01 3.841517e-01 3.746493e-01 3.653818e-01 2.01971913
#> [74,] -3.992402e-01 -2.929920e-01 -2.150193e-01 -1.577971e-01 2.76104741
#> [75,] 6.467842e-01 5.146545e-01 4.095171e-01 3.258580e-01 3.34764030
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