The classification problem Circle is described in the BARK paper (2008). Inputs are dim independent variables uniformly distributed on the interval \([-1,1]\), only the first 2 out of these dim are actually signals. Outputs are created according to the formula $$y = 1(x1^2+x2^2 \le 2/\pi)$$
Value
Returns a list with components
- x
input values (independent variables)
- y
0/1 output values (dependent variable)
References
Ouyang, Zhi (2008) Bayesian Additive Regression Kernels. Duke University. PhD dissertation, Chapter 3.
See also
Other bark simulation functions:
sim_Friedman1(),
sim_Friedman2(),
sim_Friedman3()
Other bark functions:
bark(),
bark-package,
bark-package-deprecated,
sim_Friedman1(),
sim_Friedman2(),
sim_Friedman3()
Examples
sim_circle(n=100, dim=5)
#> $x
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] -0.948218130 -0.786142227 -0.06248782 -0.558072489 -0.9807747877
#> [2,] -0.889386122 0.633051797 -0.03709023 -0.011783426 -0.2203331133
#> [3,] -0.062348036 -0.225966798 -0.89575702 0.169701155 -0.1454366217
#> [4,] -0.774917602 0.230689711 -0.06958776 -0.587349249 -0.2209404404
#> [5,] 0.210191870 0.799849859 -0.90530198 0.745349922 0.7318477090
#> [6,] 0.841786455 0.285512059 0.96745372 0.921634264 0.3543632226
#> [7,] -0.079121095 -0.031281726 -0.69061200 -0.951003162 0.6191468807
#> [8,] 0.804802695 -0.717133217 -0.47006993 0.473482131 -0.1962033389
#> [9,] -0.612224613 0.374503849 0.90879521 -0.918984616 0.2454090556
#> [10,] 0.449124927 0.315238420 0.47812289 -0.981051274 0.6707045916
#> [11,] -0.004546496 0.902552225 0.95435426 0.558790226 -0.8525602366
#> [12,] -0.457799221 -0.586389780 0.30383959 0.720392426 -0.6827336401
#> [13,] -0.864071465 -0.052357480 0.05495809 -0.541725049 0.9531756490
#> [14,] -0.557439344 0.767972077 -0.81159236 0.265951183 0.0215373915
#> [15,] 0.363482933 -0.861704249 0.49082133 -0.739379404 -0.2449258938
#> [16,] -0.012446861 -0.018583041 -0.61716479 -0.927945620 0.1218074299
#> [17,] -0.938440116 -0.061534225 0.51754142 -0.144891829 0.8724692394
#> [18,] -0.693468693 0.339062196 0.44773180 -0.997416888 -0.9964970914
#> [19,] 0.433925551 -0.199843764 0.95318477 -0.393472604 -0.8314696741
#> [20,] -0.968033453 0.222248017 -0.72554067 0.646842317 0.9743683860
#> [21,] -0.469450569 0.931189551 -0.13787468 0.375186705 0.6039521182
#> [22,] -0.435231931 0.362654170 0.64323996 -0.245305657 -0.5915995436
#> [23,] -0.522111940 -0.780161879 0.02821503 0.507576585 -0.9627297618
#> [24,] 0.170867998 0.244176051 0.95295829 0.837094612 -0.5114584197
#> [25,] -0.753415535 -0.367034241 0.33968976 -0.060663233 0.6810299912
#> [26,] 0.030242904 -0.108669769 -0.80151240 -0.521303057 -0.2219715482
#> [27,] -0.080363567 0.275622638 -0.08540942 -0.909188801 -0.6696438277
#> [28,] 0.741944784 -0.621132304 0.52456666 -0.270650870 -0.1792944344
#> [29,] 0.417652708 0.457806112 -0.77339811 0.833583429 -0.9742750009
#> [30,] -0.812767109 0.672255357 0.61298169 0.660975884 -0.9190949067
#> [31,] 0.125073239 -0.612747194 -0.95491681 0.475485748 -0.8467685357
#> [32,] 0.548715138 0.002459539 0.53761108 0.659559209 -0.9896544949
#> [33,] 0.021758302 0.887783890 -0.45199291 0.558241512 0.4922744306
#> [34,] 0.781166208 0.491526808 0.67659764 -0.955636518 0.1376646711
#> [35,] -0.483499768 0.718503149 -0.22032562 -0.510948340 0.6404783712
#> [36,] 0.895005345 -0.677671223 -0.82033822 -0.010933337 -0.4095390453
#> [37,] 0.683894925 -0.867922412 -0.90929592 -0.690134336 0.0127973491
#> [38,] -0.380702541 0.040343923 -0.36155186 0.844116821 0.0030814894
#> [39,] 0.778445582 -0.867499262 -0.05160033 0.554356255 0.8959710016
#> [40,] 0.389552498 -0.626635521 0.05663758 -0.599213785 0.3100100923
#> [41,] -0.534583297 -0.727778299 -0.83330454 0.975959345 -0.6345895664
#> [42,] 0.645252144 0.820871485 -0.73437187 -0.677936636 -0.0122119286
#> [43,] -0.339240379 -0.278289412 0.56757601 -0.936367112 -0.7834376292
#> [44,] 0.901517572 0.072366255 -0.03876337 -0.393796466 -0.3686885051
#> [45,] 0.469713111 0.619135770 0.62946461 -0.984776993 -0.4775332292
#> [46,] -0.897784385 -0.272669236 0.59361605 -0.348321211 0.8800851703
#> [47,] -0.815971639 0.067191361 0.60268113 0.010610921 0.0979166729
#> [48,] 0.893756703 -0.379905213 -0.91811586 0.312020238 0.3338963841
#> [49,] -0.781066332 0.916444805 -0.20377699 -0.086622213 -0.4692191640
#> [50,] 0.136512367 -0.154996133 0.20364227 -0.130167228 -0.1504302141
#> [51,] -0.755903756 -0.418423334 0.78185232 -0.189313812 0.9305789829
#> [52,] 0.302452193 0.776602695 0.20871303 -0.123152530 -0.3548164149
#> [53,] -0.118173309 0.334330813 0.11162461 0.102924738 -0.8901229301
#> [54,] -0.283576987 0.650454334 0.53909570 0.021326344 -0.3499150570
#> [55,] -0.352929298 0.403720738 -0.68015172 0.122418567 0.6581885098
#> [56,] -0.329648682 0.305120305 -0.95071476 0.542584231 0.9254494677
#> [57,] -0.137938333 -0.027940932 -0.50802616 -0.225817882 -0.0536062932
#> [58,] -0.829826812 -0.496318373 0.06226366 0.383970662 0.5241269022
#> [59,] -0.977810331 -0.299032636 0.98612249 -0.992049875 0.3125043223
#> [60,] 0.142835598 0.951192075 0.41487753 -0.672515232 0.9853994153
#> [61,] 0.177344457 0.945979337 0.78090905 0.255928957 -0.8541000220
#> [62,] 0.499724864 0.461256229 -0.21847640 -0.667238837 0.8681704374
#> [63,] -0.654053530 -0.606831883 -0.88133399 -0.001572353 -0.9308269038
#> [64,] -0.527493706 0.509055660 -0.97381326 0.885247614 -0.9191508056
#> [65,] -0.129094618 -0.943526219 -0.03395335 0.730764674 0.5018936018
#> [66,] -0.606317268 0.150129648 -0.37448645 0.769124202 0.5402636658
#> [67,] -0.804763938 -0.150109256 0.37805439 -0.296702762 -0.4168215198
#> [68,] -0.373596999 -0.662577414 -0.45687865 -0.454293228 -0.3210082068
#> [69,] -0.919287894 -0.270776833 0.30799794 0.567937707 0.0005838131
#> [70,] -0.365580670 -0.361432973 -0.22116671 -0.733737464 0.1900140499
#> [71,] -0.365887445 0.210790634 -0.60712250 0.199130058 0.7746860501
#> [72,] 0.202926296 0.096302760 -0.19982405 0.015361442 0.8935128930
#> [73,] 0.071101783 -0.549234623 -0.88694057 0.023539500 0.9595495895
#> [74,] 0.884732158 0.705084738 0.35390976 0.387633042 0.2359927599
#> [75,] -0.035973855 0.585425537 -0.01594210 0.454314074 -0.4704862628
#> [76,] 0.148772403 0.165782432 0.75700074 -0.148071851 -0.7128844485
#> [77,] 0.913884149 0.484983403 -0.29326168 -0.914584913 -0.9231591322
#> [78,] 0.809840166 -0.032798985 0.32872662 -0.096851980 -0.4549894454
#> [79,] 0.402002292 -0.939797211 -0.67358861 -0.036622636 -0.0658116289
#> [80,] -0.799183173 -0.568318083 -0.69357443 -0.238636856 -0.1219881028
#> [81,] 0.803289083 -0.748980393 -0.85352689 -0.512034912 -0.1272810916
#> [82,] 0.627552447 -0.935983239 0.92415101 -0.930679264 0.4065751191
#> [83,] 0.229486174 0.839497721 -0.24502150 -0.912783538 -0.6615085998
#> [84,] -0.673507547 -0.350239717 -0.89610593 0.909108363 0.8885369017
#> [85,] 0.901144647 -0.028794733 -0.76652479 -0.655259015 0.2337668398
#> [86,] -0.274918561 -0.607346386 -0.50885526 -0.064127439 -0.7510536662
#> [87,] 0.434886161 -0.378035080 -0.64287987 0.133200034 -0.8844983457
#> [88,] 0.944274450 -0.853010236 0.99438222 -0.632300172 0.5724394387
#> [89,] -0.980195760 0.477281678 -0.31727074 0.084140546 -0.7737578633
#> [90,] 0.449841609 -0.990328905 0.16329698 -0.541304273 0.9320050310
#> [91,] 0.117617319 0.158157861 0.80467152 -0.821086538 -0.3362066615
#> [92,] 0.940201316 0.001283437 -0.61478367 -0.614858655 0.8794810511
#> [93,] 0.655954006 0.717979797 0.97653988 0.140825796 0.3566948911
#> [94,] -0.412547957 0.965988408 -0.24024592 -0.943371431 -0.2986487066
#> [95,] -0.637340903 0.117296196 -0.06895661 0.120590899 0.7302806024
#> [96,] -0.497900045 0.846804722 -0.98198402 -0.940804135 0.0850455905
#> [97,] 0.886393685 0.863975457 0.24655267 -0.323515721 -0.9422583673
#> [98,] 0.039003907 -0.422344700 -0.59519857 -0.644701440 0.8951306343
#> [99,] -0.465227531 -0.643094931 0.02089325 0.873302476 0.8433758128
#> [100,] 0.807938661 0.259027053 0.06766149 0.530538652 -0.5246241465
#>
#> $y
#> [1] 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0
#> [38] 1 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 1 1 1 0
#> [75] 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 1 1 0
#>