This function takes an initial design -- with rows being the observations
and columns standing for the dimensions (plus the corresponding objective)
-- and adds an additional column to the data.frame. This additional
column states the cell ID for each observation.
convertInitDesignToGrid(init, lower, upper, blocks)
| init | [ |
|---|---|
| lower | [ |
| upper | [ |
| blocks | [ |
[data.frame].
A data.frame, which includes an additional column (cell.ID)
compared to the initial design (init). The cell.ID will be a
value between 1 and prod(blocks).
# (1) create an initial design: X = t(replicate(n = 200, expr = runif(n = 5, min = -10, max = 10))) f = function(x) sum(x^2) y = apply(X = X, MARGIN = 1, FUN = f) init = data.frame(X, y = y) # (2) compute the cell mapping grid convertInitDesignToGrid(init = init, lower = -10, upper = 10, blocks = 20)#> X1 X2 X3 X4 X5 y #> 1 -8.384997249 6.68666075 2.01521772 -6.85583117 -9.85201118 263.14526 #> 2 -0.672130054 -0.04445223 -4.20465511 4.65763974 5.45043022 69.53366 #> 3 7.492013215 -6.50118746 -9.31517335 -3.59228538 -1.95343523 201.88858 #> 4 -6.086603305 -1.92923765 -8.72677085 -2.22597374 9.51095670 212.33848 #> 5 -4.202154092 3.56760855 4.70639198 -6.08086534 9.61079349 181.88033 #> 6 4.830430583 -8.97107447 0.60424927 3.91647758 3.77112007 133.73850 #> 7 -9.375393493 -5.48874931 -3.98338388 2.72931230 -0.41950901 141.51685 #> 8 -1.356574837 4.12867676 8.97153153 -6.39322464 -5.66200247 172.30624 #> 9 3.603258352 -0.02308779 2.83358697 3.20568698 -8.07951684 96.56824 #> 10 5.312003279 5.39349609 9.81424625 9.41041806 -2.21634479 247.09476 #> 11 -0.776270707 -3.69516495 -6.50648212 0.63147082 -0.12725968 57.00610 #> 12 5.586172519 -5.91643314 4.26794558 -8.69567777 -2.91586402 168.54194 #> 13 6.503988421 -4.52363510 1.40089902 -3.28561839 1.92525578 79.22956 #> 14 -6.169639369 8.95527876 0.84960817 0.89206787 -4.42805692 139.38677 #> 15 -1.065950617 -2.56977631 -9.43878051 -0.68025618 -2.19937225 102.13057 #> 16 -9.598695645 -2.46058145 1.19825680 7.14167172 -2.30380578 155.93623 #> 17 0.558340712 2.01275047 -4.77257283 -4.19899677 -0.39849652 44.93073 #> 18 8.400110924 -1.98559631 -5.73654578 3.43533631 -8.82771778 197.14255 #> 19 9.941382706 -7.01929065 0.37113271 6.92240109 4.36539448 215.21558 #> 20 -5.173719600 0.94086737 6.69603630 -9.44087949 -0.61231400 161.99464 #> 21 6.113600614 6.28102620 -1.92177996 -5.63137983 -1.63277195 114.89902 #> 22 3.377414956 0.15300564 3.20718613 0.23582628 6.71104874 66.81017 #> 23 4.175623227 7.48411882 -9.77040924 7.76499136 9.92693838 327.74796 #> 24 0.003830018 -2.82065951 5.49826045 1.68950502 2.67952742 48.22130 #> 25 7.173323096 1.33788677 -4.94005961 8.37606429 7.34700410 201.78762 #> 26 -5.029226062 -1.94237576 5.39260352 -7.61029251 -6.10610077 153.34713 #> 27 -6.708615036 3.26413163 7.13150009 8.53092897 1.04755189 180.39248 #> 28 1.541313888 3.74895491 -5.10563541 -9.10765683 8.19709113 192.63954 #> 29 -8.586375616 9.93782947 2.23704835 -6.54882309 8.18881930 287.43453 #> 30 -9.250976662 1.87107581 -5.26044890 8.12594533 6.37745968 223.45680 #> 31 3.996587144 -5.59999342 4.55981877 -5.65831075 -0.87539603 100.90738 #> 32 -3.344004834 1.36705337 -4.95588550 -0.71972867 8.35321014 107.90613 #> 33 9.456884358 6.38164893 8.05847596 1.62732088 5.46016962 227.55877 #> 34 9.902460529 4.21942499 -5.70114809 -4.16484740 4.43519459 185.38227 #> 35 7.332314067 -5.23093787 -9.91007384 8.87032928 -1.23725599 259.54865 #> 36 5.012066565 3.35631529 -1.84053597 -2.97502370 4.76183123 71.29904 #> 37 3.285709857 -8.29550600 7.12264313 -8.46033357 7.05689607 251.72038 #> 38 -7.873060782 -0.30394353 -5.05561779 3.73138421 -6.72753604 146.81971 #> 39 9.056495996 -3.56290898 -2.76931766 7.75446835 6.56028836 205.55272 #> 40 -7.986870846 8.12103156 5.45460729 -2.33258659 9.99304914 264.79599 #> 41 -3.014019029 8.94636532 -5.67800048 -9.35814582 -7.09368313 259.25669 #> 42 7.087677759 -5.73701378 -5.79378524 -9.20958620 8.89549606 280.66278 #> 43 -5.101440251 5.62245136 -4.23525664 7.50715821 -4.08499812 148.61868 #> 44 9.670508159 1.79675113 5.18316760 6.72150612 5.25638939 196.42054 #> 45 -1.654601474 -7.23850318 -8.38310077 3.11965252 2.04007718 139.30416 #> 46 3.139916593 -3.41365673 9.58948441 4.30372268 7.45260610 187.53371 #> 47 9.665674940 -5.62874014 3.29060128 -2.20871924 -9.07872722 223.23777 #> 48 2.338291164 1.96949989 -1.86292740 7.16656299 0.35362370 64.30171 #> 49 9.585868209 -9.65968625 3.46895652 -2.57460236 8.36021274 273.75380 #> 50 3.559561893 3.30304923 5.12082176 0.85674310 -5.21423803 77.72572 #> 51 0.177871445 -1.65471257 4.53897706 2.75371104 -2.07180090 35.24731 #> 52 9.189652149 -4.02683940 -8.99597669 1.52374841 -5.64188386 215.74540 #> 53 -7.482874584 8.76305374 6.02550254 5.16107239 0.65130328 196.15207 #> 54 0.936095496 -8.08146992 -2.23300495 -6.55296223 3.81451696 128.66460 #> 55 3.504170072 8.92589695 -6.07560956 9.37275005 -2.25807445 221.81122 #> 56 3.006877974 6.29192407 -8.58070455 0.53660648 5.26949652 150.31365 #> 57 -1.292267153 1.04944672 -5.91938708 -9.37947964 9.39414118 214.03496 #> 58 -6.427738122 5.56585572 7.71421597 6.72892501 2.10736884 181.52313 #> 59 8.137589172 -9.28180382 -7.37162980 -8.11939266 3.93167316 288.09576 #> 60 -1.885425560 -8.68726721 -7.47014756 8.74660436 -5.67239539 243.50570 #> 61 3.321840232 -5.92198639 0.97182878 6.55002829 -7.44884698 145.43719 #> 62 -4.776277645 -4.23165945 -9.70461968 7.07447454 -1.71904343 187.90271 #> 63 5.020276913 4.38027916 0.30710603 9.49672515 -2.78444877 142.42528 #> 64 -6.592089860 5.66281340 -9.38152208 5.78840717 -6.66792645 241.50296 #> 65 -9.425748694 5.71902328 6.50615727 9.30480836 -2.42717642 256.35269 #> 66 -6.512273448 2.07500805 6.10927467 -9.26641182 4.65821333 191.60394 #> 67 -5.694546835 -9.67993712 -7.42794843 3.72126208 2.83882529 203.21018 #> 68 -3.453229596 -2.25036038 4.15000791 3.95310855 8.51313532 122.31202 #> 69 -0.819645510 1.91908404 -6.69978021 1.33819569 7.96154742 114.41876 #> 70 1.889445623 6.63379838 1.86816730 5.57941267 -2.04456706 86.37744 #> 71 6.997655481 4.83691163 -3.64419561 -7.76639552 -7.97809269 209.60992 #> 72 6.001954963 -2.40106516 -8.94598057 9.73017395 2.08347934 220.83632 #> 73 -7.024345542 0.77520344 -7.48421546 9.26363507 -9.06129971 273.87794 #> 74 -6.771816351 8.72974852 9.41362725 4.20548105 7.70181861 287.68646 #> 75 9.537506332 -9.30200713 -1.22485462 2.88939521 9.89664809 285.28388 #> 76 -3.706747587 7.11763932 0.80675363 7.46834705 0.31171239 120.92499 #> 77 7.389185959 7.13045189 -3.08633632 -9.99792617 -5.89640509 249.69501 #> 78 8.904409814 -4.37332974 7.61868434 9.22232553 -9.91963092 339.90924 #> 79 1.058004112 -5.61528055 2.93454287 4.55404093 7.45174885 117.53014 #> 80 -2.360369079 7.85491408 6.87740571 4.59522417 -9.23170047 220.91011 #> 81 -3.323533651 4.98545304 8.26316021 -5.91341874 -0.56488777 139.46805 #> 82 -2.296337993 -2.14496142 -5.63323139 -9.85582119 -2.72575714 146.17429 #> 83 0.522134597 6.88326787 -7.28017658 -2.47065338 -4.73382703 129.16622 #> 84 -0.042940606 -9.60949499 -8.25632380 9.91925329 8.84264411 337.09506 #> 85 -7.512530978 -7.69621396 -2.66623793 -0.57919929 5.68344891 155.41572 #> 86 -0.192143745 -7.96098090 8.86919449 4.12279005 0.04528473 159.07620 #> 87 0.598695530 -4.83147303 4.23506834 9.36925100 3.22155579 139.79866 #> 88 5.925011807 -8.53581736 7.69485769 6.53400754 4.51527919 230.25778 #> 89 -2.653419566 0.46856833 -0.60242175 -8.02867229 0.32069820 72.18553 #> 90 -1.005323450 0.98923096 2.99012380 -6.81930348 -4.12498416 74.44849 #> 91 7.825697339 1.76157252 2.66463127 -4.80981047 -3.63574546 107.79786 #> 92 -3.214922380 5.21522277 -9.78255072 -8.73725322 -4.72316416 231.88045 #> 93 1.876731771 -4.04879942 -8.10754456 5.22510720 5.44953695 142.64638 #> 94 -1.960192136 -8.81834094 5.00495769 0.56644711 -4.48389765 127.08129 #> 95 -4.775248999 0.87662338 -6.01998441 2.90109545 5.00479692 93.27603 #> 96 -4.580443311 7.51243819 7.03486348 -9.08301379 -2.37886282 215.06662 #> 97 -6.333758915 8.43599283 8.12373698 -6.14113364 7.28750553 268.09884 #> 98 -9.734547962 7.71320679 -2.16915786 -8.47647374 2.93562610 239.42874 #> 99 8.333077938 6.69017240 0.02494141 2.04289540 -0.62081932 118.75806 #> 100 7.727484764 3.41096985 -2.12444561 1.02581345 -5.15014648 103.43831 #> 101 -5.935823419 -8.63316593 -3.85452526 9.86236189 -7.67381646 280.77656 #> 102 4.308461533 -5.47782537 -7.33302905 8.54563523 7.88245314 237.50368 #> 103 -5.926712155 -4.86034162 2.28011207 -1.17001625 -3.68810629 78.91881 #> 104 -7.973724781 -4.54707609 3.07398794 8.55740204 -9.46750660 256.56840 #> 105 1.189823942 7.08347304 -8.48233901 -5.88342288 -0.08220707 158.16277 #> 106 -4.762861119 -1.68077099 -1.21700001 -6.35244161 -8.43343468 138.46726 #> 107 -9.644600879 4.56359947 9.41690050 0.70435176 -6.67018464 247.51026 #> 108 -8.836486987 -0.81721962 2.45597643 1.89638403 4.86036475 112.00259 #> 109 0.485602687 -0.06349499 -9.70562395 9.15838249 -0.93821530 179.19520 #> 110 9.630636983 0.89410332 -2.79915198 0.06292209 -8.50732735 173.76242 #> 111 9.395837807 2.97002628 9.69130933 0.72266514 5.22118810 218.80735 #> 112 1.287714541 5.56908607 2.78121977 -2.42078529 -2.80938659 54.16097 #> 113 6.884628325 -0.86501638 -6.41931419 9.32418392 4.26823903 194.51223 #> 114 -9.502279377 2.52912988 6.55842644 2.86138063 4.16968524 165.27654 #> 115 7.414543070 -4.36374837 -6.53550316 -7.80659962 1.72444383 180.64725 #> 116 7.014426547 8.43052353 3.51323804 -2.98823675 -9.82683850 238.11506 #> 117 -1.382024148 4.49870194 -1.75487226 1.01724790 -6.87278860 73.49790 #> 118 -9.139974136 3.69288226 0.28804994 8.91375697 6.86193884 223.80075 #> 119 -8.702338133 5.24221829 -8.43231495 -7.32984675 6.19392402 266.40683 #> 120 1.187664787 4.67459372 -3.00609048 9.65337333 -1.82292240 128.80962 #> 121 -2.782526128 3.05020079 -7.12881548 3.61597231 7.18571787 132.57598 #> 122 6.772599793 7.62625850 -5.24604525 1.57261692 7.95805011 197.35260 #> 123 -3.111419389 5.21716460 4.62207290 7.04864753 9.51636082 198.50785 #> 124 -7.739049983 9.40524559 2.96165564 -8.87853913 -0.53725808 236.24005 #> 125 -4.107499737 2.20599244 -7.57782239 2.58833016 4.23910606 103.83082 #> 126 2.241655733 -9.31141534 3.31781574 3.05934553 -0.96283121 113.02202 #> 127 0.336082038 3.53221594 7.61866188 4.62458309 -2.02760370 96.13145 #> 128 -1.389586926 -7.09185306 -0.97759341 1.57562983 -8.59165759 129.48021 #> 129 4.846523604 0.98441413 2.69088544 -7.26742832 8.60466993 158.55459 #> 130 3.022372792 0.57418545 -5.49769223 9.66533739 -7.81902429 194.24493 #> 131 -8.601089655 5.55291014 3.16644464 -4.81594513 8.36675690 208.03587 #> 132 -7.025793064 2.81360970 -5.97523152 4.87242630 6.95274857 165.06281 #> 133 7.072717459 6.06825145 -9.52246470 5.90755430 7.73101021 272.19206 #> 134 2.000746769 -1.34423667 8.40551606 2.32028856 -1.28563683 83.49926 #> 135 7.946088202 5.38027044 -7.43768483 0.77266241 -7.41967548 203.05537 #> 136 0.219297679 0.87585382 -5.16447820 6.06288231 8.95827449 144.49627 #> 137 -1.852773093 0.29489126 9.63083701 -2.91626544 -0.88319704 105.55739 #> 138 -5.599505873 -8.36333953 -2.61527863 -7.46666832 4.79745011 186.90626 #> 139 9.117325717 3.37349005 -0.63821302 0.76384893 -3.38092596 106.92750 #> 140 2.573642158 -0.94895057 7.76030355 5.68403639 -7.23880898 152.45508 #> 141 -4.373738808 4.13892996 -1.15626160 3.55397046 4.01429971 66.34258 #> 142 -8.631871613 9.17007041 -5.11032958 8.52566669 0.05494154 257.40488 #> 143 8.710342841 -1.22400735 -2.99026927 -0.46991823 9.32319050 173.45268 #> 144 -4.056761460 -4.18703383 7.19444495 -6.13374666 6.18216743 161.59065 #> 145 -2.690269751 -4.94600694 7.12162028 -7.39951261 5.83815321 171.25483 #> 146 -2.881969796 9.28687675 -7.62633582 -0.83678701 0.47300873 153.63678 #> 147 6.741234516 -9.32991925 -9.13343121 5.84205889 -5.94602070 285.39602 #> 148 -8.624091037 7.28882147 -8.45820281 -1.37993163 9.47245116 290.67460 #> 149 1.419146876 5.08813291 -5.15091341 2.54315732 -6.63170794 104.88218 #> 150 -1.104207342 -6.70649532 -7.63446434 -2.65071219 8.93117810 191.27362 #> 151 7.508215266 -4.79882175 3.14596875 -7.56270749 -3.62303922 159.62006 #> 152 2.461220603 -1.06005140 4.16586892 7.80058000 -7.91386992 148.01417 #> 153 2.608234379 6.83117821 -2.71475137 2.45845556 -0.78504972 67.49806 #> 154 -6.731754411 0.27733724 -7.13467123 3.00597402 -6.89410938 152.86159 #> 155 0.166197242 -8.28259111 0.06053326 -9.22856234 6.48065754 195.79789 #> 156 -4.280288517 -5.06498266 -2.04012812 2.64185750 8.97157690 135.60565 #> 157 -3.197615123 2.54731971 6.49830790 -7.09769246 9.34278261 196.60641 #> 158 -8.279220206 -5.19077531 2.77767466 0.06790163 -4.98953481 128.10518 #> 159 9.580675489 3.13159164 -8.20302197 2.61085861 7.53535323 232.48391 #> 160 8.605630714 -1.61028295 -0.08880260 -2.94590616 -5.02530266 110.58981 #> 161 9.174557975 -2.80079755 -6.02027516 4.52570635 -6.63735099 192.79714 #> 162 -5.470373407 6.91080110 -3.08292798 -8.65360343 -9.45961092 251.55769 #> 163 -7.639108608 -9.72609264 4.71458737 8.47921532 9.64381198 340.08039 #> 164 -1.894595921 -4.60610733 -0.23422698 -8.97875095 -9.95046340 204.49027 #> 165 -0.083306502 -5.12417433 -4.88501482 1.04637554 -4.96844743 75.90784 #> 166 2.569003333 -3.67768987 8.49040784 8.12983400 -8.16060409 224.90187 #> 167 4.755903045 1.39481080 3.92977151 4.01535007 -9.20118690 140.79209 #> 168 -1.369551923 6.28462731 1.33172554 1.76494346 7.60618064 104.11472 #> 169 4.386359267 8.72857787 -1.41136772 -4.27625349 5.41286367 145.00562 #> 170 2.329972731 -6.81450505 -1.96803988 -9.96707023 -1.64067929 157.77375 #> 171 5.278687207 5.88955333 -5.14825959 5.18341908 -9.41791693 204.62095 #> 172 -1.253184341 0.60818975 -1.40337298 6.18593918 8.45129237 113.60001 #> 173 3.500469471 -8.12063615 -6.05073366 -0.48909749 4.28743268 133.43069 #> 174 0.761585687 7.50766021 -4.12829174 -5.50469145 3.81835662 118.86924 #> 175 -3.753411905 -0.33403643 -7.56406720 3.80014470 -3.68537191 99.43786 #> 176 6.323753651 0.91830877 8.94634367 -9.22947187 2.95287753 214.77285 #> 177 -8.407619782 -1.34138461 5.21786268 -4.12482320 -7.85336214 178.40294 #> 178 -8.540111165 -2.87370845 1.43121685 3.55976118 3.81438204 110.46149 #> 179 -2.531783576 -8.04043891 -8.01980584 5.49603167 -6.97008883 214.16437 #> 180 -2.107868404 8.69996807 4.79179128 2.71336245 -3.23560299 120.92528 #> 181 9.248326090 -7.76420180 3.00970532 9.67023103 -6.41744991 289.56972 #> 182 -7.240591180 -8.86882828 0.92735238 -0.66990398 7.92756749 195.23736 #> 183 -9.629371334 7.01948458 0.02846846 -6.67676447 -2.77987798 194.30567 #> 184 3.040003679 7.48353671 4.56611320 -1.75054289 -6.81541438 135.60861 #> 185 6.914071091 7.68738204 -2.08003773 -9.23718423 9.02791934 278.05568 #> 186 5.674550300 -5.61120518 -3.38136026 -6.44481342 -2.74967388 124.21607 #> 187 -2.170935166 8.07754701 -4.47086302 -7.21281365 -0.97327391 142.92028 #> 188 -7.793403021 7.61913960 0.67685409 4.78501590 4.39045570 161.41903 #> 189 -4.710361538 3.47712734 -5.80756830 3.80810332 -6.10480969 119.77612 #> 190 5.643082568 -9.69935443 8.68345047 -8.31127734 -9.31895454 357.24441 #> 191 -3.780810125 5.69419448 -4.39198907 -6.69432411 -1.32810373 112.58578 #> 192 6.280903993 3.73027960 5.54612326 -8.17598050 4.85247791 174.51742 #> 193 -2.066520485 -4.07943555 4.85848000 -0.66981121 5.46055383 74.78342 #> 194 -9.557658988 6.30046399 -3.92333158 8.63591730 0.80862029 221.67016 #> 195 -4.903632984 -0.44825273 4.08927983 -9.84988893 5.44817555 167.67169 #> 196 -4.684128715 9.42081872 -6.18949760 -9.60608222 2.24753959 246.33102 #> 197 0.514628179 2.69040085 -2.09104082 -6.50263559 -3.45373677 66.08812 #> 198 2.295063636 -8.41667178 0.38121941 -3.87437381 3.42790609 103.01432 #> 199 -2.126565194 4.95696493 -7.22146957 -2.45313909 2.82766871 95.25701 #> 200 9.883893486 -2.62881884 -3.25302898 8.27370886 8.18840722 250.68851 #> cell.ID #> 1 29122 #> 2 2514190 #> 3 1328078 #> 4 3096564 #> 5 3069866 #> 6 2188035 #> 7 1538481 #> 8 671489 #> 9 268994 #> 10 1279916 #> 11 1521330 #> 12 1133696 #> 13 1812517 #> 14 884364 #> 15 1192149 #> 16 1260541 #> 17 1482251 #> 18 265779 #> 19 2372060 #> 20 1446605 #> 21 1315537 #> 22 2645414 #> 23 3176355 #> 24 2014151 #> 25 2866238 #> 26 502165 #> 27 1911064 #> 28 2881872 #> 29 2909182 #> 30 2705821 #> 31 1477694 #> 32 2954227 #> 33 2495540 #> 34 2281900 #> 35 1424098 #> 36 2299476 #> 37 2734834 #> 38 585783 #> 39 2698940 #> 40 3102363 #> 41 321967 #> 42 2881698 #> 43 938305 #> 44 2534240 #> 45 2024449 #> 46 2839734 #> 47 61300 #> 48 1739433 #> 49 2941220 #> 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