Compute Spacing Measuring Functions
space_measuring_functions.RdThis function is used to compute discretized functions, i.e. vectors, to explore functional spaces.
Arguments
- X
A dfts object or data which can be automatically converted to that format. See
dfts().- M
Integer for the number of functions to generate.
- space
String for the space of interest. Options are Brownian motion ('BM'), principal components ('PC'), and vectors in iid standard, random normals ('RN'). Additional options are forthcoming
Value
Data.frame with columns of discretized functions describing the space. Columns are independent functions.
Examples
space_measuring_functions(M=10, space="BM", X=electricity)
#> [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,] 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000
#> [2,] 0.04483331 -0.23531378 0.01748255 -0.005287588 -0.13454487 0.126546511
#> [3,] 0.11595179 -0.22547381 0.38820990 0.234233383 -0.41717508 0.439007918
#> [4,] 0.38969431 -0.08525194 0.31029867 0.248285557 -0.66568707 0.307700714
#> [5,] 0.60476414 0.09706558 0.49775857 0.477838969 -0.65994288 0.035460230
#> [6,] 0.97624447 0.07519261 0.27679031 0.504379134 -0.80556518 0.075283731
#> [7,] 0.95636050 0.16867714 0.32504244 0.605156518 -0.84081854 -0.213080588
#> [8,] 1.22174223 0.38906866 0.12522662 0.429154286 -0.62019598 -0.061851002
#> [9,] 1.06959153 0.18989154 0.17568618 0.778635680 -0.45959814 0.005662566
#> [10,] 1.11734385 0.08315524 0.33023460 0.621807316 -0.45392853 0.285925674
#> [11,] 0.91368824 0.32452950 0.51754087 0.397041525 -0.29496201 0.233639908
#> [12,] 0.53793680 0.07641312 0.32296826 0.206484886 -0.13239751 0.255722237
#> [13,] 0.65801377 -0.15157853 0.36516521 0.269937099 -0.01840644 0.337452654
#> [14,] 0.57196672 0.38298398 0.77977946 0.344539104 -0.29894345 0.333151937
#> [15,] 0.51469892 0.33275098 0.68789452 0.571112474 -0.12632360 0.069186307
#> [16,] 0.52707017 0.41476519 0.48930610 0.141988845 -0.47083284 0.183583702
#> [17,] 0.37026309 0.49892930 0.34060191 -0.143695863 -0.36204089 0.246852783
#> [18,] 0.35649584 0.48015349 0.49997145 -0.157048839 -0.76211027 0.099800836
#> [19,] 0.93737727 0.64251757 0.93050758 -0.009406726 -0.70853023 -0.054749440
#> [20,] 1.21217663 0.72945291 1.04516950 0.118753343 -0.70665824 -0.296777677
#> [21,] 1.11496291 1.05123321 0.66815926 -0.013084037 -0.63661740 -0.521752893
#> [22,] 1.24997971 1.37735938 0.58592840 -0.164040152 -0.59312672 -0.643703121
#> [23,] 1.42503105 1.83799424 0.56876657 -0.130585591 -0.93354523 -0.617698477
#> [24,] 1.28892454 2.08903635 0.94177790 -0.005286767 -0.88062575 -0.912295011
#> [,7] [,8] [,9] [,10]
#> [1,] 0.00000000 0.000000000 0.0000000 0.000000000
#> [2,] 0.13896155 0.189800784 -0.2924194 0.308204593
#> [3,] 0.17583498 -0.091331842 -0.4825476 0.001262871
#> [4,] 0.03963221 -0.172371955 -0.4300743 -0.341356531
#> [5,] -0.25504458 0.286716577 -0.6137996 -0.095625604
#> [6,] -0.33599178 0.001913033 -0.5179507 -0.248867211
#> [7,] -0.35034261 0.002132354 -0.2189594 0.125439887
#> [8,] -0.27789613 0.018349882 -0.1696612 0.225118935
#> [9,] -0.36050088 -0.065167557 0.1876386 0.252759397
#> [10,] 0.08268281 -0.406533891 0.2683451 0.229063960
#> [11,] 0.29686288 -0.356526333 0.1473073 -0.201318139
#> [12,] 0.27403130 -0.337392652 0.2200993 0.079823741
#> [13,] 0.05798018 -0.457002046 0.6495148 0.088887203
#> [14,] 0.06628319 -0.562233591 0.3909807 0.119050353
#> [15,] 0.43755550 -0.400419278 0.2211688 -0.188391741
#> [16,] 0.55494394 -0.167223616 0.1333655 -0.467463963
#> [17,] 0.73097995 0.154028398 -0.3279489 -0.726562129
#> [18,] 0.29113533 0.390736646 -0.6368692 -0.525240395
#> [19,] 0.47964217 0.456632978 -0.5611293 -0.284930114
#> [20,] 0.74401008 0.150666270 -0.6667592 -0.055370215
#> [21,] 0.57796975 0.409023199 -0.5869687 0.118683681
#> [22,] 0.70593894 0.392261357 -0.4250564 0.231404651
#> [23,] 0.62928796 0.427266368 -0.8291719 0.513180799
#> [24,] 0.86133499 0.272399443 -0.7550032 0.233572251
space_measuring_functions(M=10, space="PC", X=electricity)
#> V1 V2 V3 V4 V5 V6
#> 1 1841.68149 -469.27809 -924.88788 506.27375 -112.42018 -543.75228
#> 2 -1518.98989 -376.43435 1131.32132 -405.16453 -236.61000 -371.72555
#> 3 169.05668 -19.34726 595.09734 -237.32796 1642.78620 469.82390
#> 4 294.86113 -334.34670 -188.04075 -273.07138 -966.10721 -790.70527
#> 5 390.44710 -296.58630 202.46920 -208.31527 -129.11465 -153.88214
#> 6 -881.64055 -1514.77234 395.53474 194.27765 -284.14766 -15.61158
#> 7 704.31389 1435.36309 695.14793 1071.79057 -225.02922 1153.97647
#> 8 694.95111 865.10988 776.20042 -460.68751 -449.77357 1061.42063
#> 9 -540.85112 744.44335 364.65673 -104.85439 614.92098 156.92543
#> 10 822.35150 269.04780 251.01271 513.81186 -1102.20832 415.27777
#> 11 -1374.57054 288.49605 -1011.80369 82.43859 -1362.06803 -1309.25709
#> 12 223.34283 1010.04233 -284.27635 -742.97533 -1290.34324 -1454.91864
#> 13 -691.90966 1214.19978 123.26497 -889.55804 -32.95747 1526.55036
#> 14 868.65861 -1006.60116 1036.56323 665.21433 -2740.81616 -749.08651
#> 15 -978.02288 1551.93290 1628.16497 865.07194 486.16926 -1462.47676
#> 16 -1241.68900 74.14735 364.61768 2208.53886 1379.03952 -181.08817
#> 17 153.67647 49.34635 -724.35578 -475.11845 2165.84281 856.69424
#> 18 76.05319 -302.93970 2807.63925 252.97060 414.12001 1642.48479
#> 19 277.25797 -72.60567 1355.05030 -760.11749 344.56572 -569.81738
#> 20 1025.98732 -198.71377 -1034.51089 -220.70240 -515.01590 -1386.57214
#> 21 1174.02029 -40.75791 -317.92066 1024.32744 656.06255 796.22871
#> 22 178.07986 989.79613 -30.94968 605.99213 715.78898 -465.05927
#> 23 1096.01040 428.87824 -1211.13264 -659.08525 -1414.14538 -227.42251
#> 24 529.03850 727.68101 262.17483 -120.86629 854.07288 308.88308
#> V7 V8 V9 V10
#> 1 163.81307 1707.975846 -1075.576683 1149.419926
#> 2 255.03554 665.705591 35.400462 -1477.041940
#> 3 -99.05553 877.864295 -83.421489 764.368672
#> 4 -224.27192 -686.391634 -666.126732 -981.195029
#> 5 -443.31656 1137.773875 818.311105 721.437685
#> 6 -1238.68549 -570.476610 -215.855358 -7.821575
#> 7 109.30335 -141.529478 -4.015365 389.113087
#> 8 518.26571 7.437739 -412.981790 816.092428
#> 9 -466.84344 -894.875291 -879.535198 -650.805318
#> 10 -261.65740 453.986971 291.642341 -314.708023
#> 11 -79.20859 581.081616 -702.930157 1130.991419
#> 12 161.91903 923.009962 1287.762645 -634.526876
#> 13 -693.99018 -1553.146018 1155.600888 -702.795351
#> 14 -325.21715 -713.522471 -304.526192 -1520.823676
#> 15 729.90662 -1489.162642 -187.706135 -420.944360
#> 16 -477.13893 821.939016 106.792501 136.221645
#> 17 12.57217 803.442009 -2190.022581 -1517.811666
#> 18 -169.81993 -48.185784 -385.905520 342.454624
#> 19 -317.19058 1028.805531 -807.325491 -7.662578
#> 20 -842.90338 411.700419 602.037243 2087.316964
#> 21 528.86699 223.716019 290.313568 -875.620161
#> 22 -990.70648 1345.146303 -83.885219 228.409813
#> 23 -939.31786 148.001931 750.582723 -334.689901
#> 24 1007.82806 29.225712 -1024.512274 -875.271573