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 0.00000000 0.00000000 0.00000000
#> [2,] -0.12825110 0.13263903 0.42028712 0.03826323 0.28338046 0.08073990
#> [3,] 0.02941002 0.13765600 0.62075191 -0.04155553 0.02409807 -0.19228067
#> [4,] 0.08234971 0.15981240 0.63822585 0.34137784 -0.33507473 0.11914744
#> [5,] 0.07783359 0.13906444 0.78221831 0.30627969 -0.41178691 -0.06089779
#> [6,] 0.13603079 -0.04905541 1.18050113 0.20815829 -0.75220385 -0.10211108
#> [7,] 0.02633827 -0.17506061 0.75166316 0.04099872 -0.79221835 -0.25871766
#> [8,] 0.06959954 -0.34202414 0.90344101 -0.32165420 -0.83382692 -0.09246447
#> [9,] 0.10885845 -0.26551227 0.53442618 -0.58054122 -0.92382591 0.16467303
#> [10,] 0.21727245 -0.23516578 0.62093054 -0.58125481 -1.06349192 0.03825699
#> [11,] 0.15601845 -0.28070179 0.52767550 -0.60850433 -1.15514884 0.08239998
#> [12,] 0.29245716 -0.44647692 0.31842311 -0.45027979 -1.06546195 -0.42944076
#> [13,] 0.12011984 -0.56930639 0.46370036 -0.74914730 -1.20330691 -0.43227507
#> [14,] 0.09247954 -0.62572849 0.36099671 -0.96972711 -1.51347294 -0.23492731
#> [15,] -0.03059691 -0.47118896 0.29390402 -0.90326736 -1.39445426 -0.09662440
#> [16,] -0.06397907 -0.61118114 0.23199639 -1.00998926 -1.36293401 0.02357914
#> [17,] -0.12714004 -0.40575677 0.54794917 -0.90303410 -1.19733205 -0.24485502
#> [18,] -0.11534123 -0.05266264 0.41638728 -0.73689153 -1.02929778 -0.40001326
#> [19,] -0.37206229 -0.60307684 0.12758008 -0.64696881 -1.09402420 -0.64976188
#> [20,] -0.30068180 -0.70569295 0.20479969 -0.58607033 -0.88346402 -0.26436268
#> [21,] -0.43677067 -0.34345170 -0.01299151 -0.89516394 -0.57750824 -0.34662497
#> [22,] -0.57682258 -0.22819096 -0.26287339 -0.52576895 -0.52674725 -0.45159659
#> [23,] -0.69792797 0.19837177 -0.28699501 -0.20804524 -0.33956864 -0.43596715
#> [24,] -0.87951145 0.35315583 -0.48731516 0.19230348 -0.50622107 -0.43737263
#> [,7] [,8] [,9] [,10]
#> [1,] 0.000000000 0.00000000 0.00000000 0.0000000
#> [2,] 0.003524309 -0.07465334 0.31620525 0.2562833
#> [3,] 0.246593675 -0.02108275 0.18307795 0.5560981
#> [4,] 0.154220285 -0.17118446 0.13698431 0.5368694
#> [5,] 0.116167782 -0.10525641 0.12891540 0.5596203
#> [6,] -0.073372261 -0.24087792 0.24044500 0.5309715
#> [7,] -0.169394295 -0.48269360 0.28370659 1.0192892
#> [8,] -0.430879399 -0.80541578 0.06029931 1.0518934
#> [9,] -0.606310382 -0.61449160 0.61701111 0.9310463
#> [10,] -0.593287373 -0.72716711 0.42656212 0.7265570
#> [11,] -0.672747807 -0.47746796 0.38697591 0.8629767
#> [12,] -0.765293053 -0.28589076 0.04267130 0.7486685
#> [13,] -0.755993028 -0.32807234 -0.08710088 1.0628633
#> [14,] -1.110695290 -0.03049371 0.07328941 1.2207766
#> [15,] -0.898440837 0.42952007 0.18296070 1.2705485
#> [16,] -1.103276229 0.17022759 0.11294254 1.2831768
#> [17,] -1.191173845 -0.03477435 0.15980911 1.4802667
#> [18,] -1.102678303 -0.31731649 0.19482726 1.3631990
#> [19,] -0.831893509 -0.47201629 0.13878652 1.5879056
#> [20,] -0.857086725 -0.38928996 0.71480642 1.6028035
#> [21,] -0.996801621 -0.57350606 0.77703806 1.4760782
#> [22,] -0.927160359 -0.32665618 0.53729754 1.5991292
#> [23,] -1.099739616 -0.21603597 0.55553696 2.0094545
#> [24,] -1.234089393 -0.46054406 0.49679703 1.8063915
space_measuring_functions(M=10, space="PC", X=electricity)
#> V1 V2 V3 V4 V5 V6
#> 1 -346.01880 273.22612 767.35308 -650.9797 -406.091398 -1049.351718
#> 2 -1705.62869 -556.12931 667.61862 -567.2221 156.445373 337.100605
#> 3 -254.00380 215.55687 235.95398 -275.4357 -86.887905 597.988970
#> 4 -673.00468 270.37688 -497.99872 -1544.1558 -69.995296 781.200496
#> 5 -331.40671 870.31313 -426.38467 1025.2608 -808.591401 -1107.306543
#> 6 27.87124 -1255.82586 179.93952 1046.2258 -859.449766 742.100337
#> 7 249.26863 201.94510 -65.76114 1092.6840 177.467633 -1423.564241
#> 8 -95.43320 -709.37560 652.04333 -202.7654 -538.838779 119.245069
#> 9 -239.82954 -33.88626 393.49309 -132.4410 671.562291 -462.289679
#> 10 -2162.14572 672.73244 917.63987 453.2346 1741.063094 -910.212967
#> 11 401.27220 -534.84164 -83.46303 769.5926 420.442669 1018.671771
#> 12 1453.05787 -415.28951 1934.32929 606.2772 249.530811 -990.424866
#> 13 2567.69989 1117.01450 -459.93712 145.2534 -269.936082 362.142661
#> 14 177.42711 761.93286 836.60762 -124.7161 339.034894 -406.625865
#> 15 -138.89224 -655.20425 1751.63808 -864.2137 -1097.366913 1165.601620
#> 16 544.64293 597.19984 1104.50818 -295.6095 -2.889343 -450.282547
#> 17 -759.45882 -481.98574 1089.07606 -526.3823 -388.830453 -451.679308
#> 18 -1294.80592 -1270.47234 425.38856 -1147.8758 -1412.545802 610.663171
#> 19 -1351.38743 -149.55253 -760.82995 509.6685 -891.135738 899.347275
#> 20 -788.56997 -202.60745 498.69950 201.8065 836.567731 -889.383392
#> 21 -1168.01815 -732.85823 -489.32765 -603.0866 -72.370226 479.944790
#> 22 317.46063 -458.18981 -990.99422 -1036.2224 -261.309752 -9.985161
#> 23 -263.28547 292.55050 96.42579 -303.8265 843.735864 -354.250194
#> 24 30.72551 55.02851 -1178.21841 -348.7115 844.624046 -1298.107858
#> V7 V8 V9 V10
#> 1 -763.46246 890.04671 1152.96377 998.67571
#> 2 -631.95544 -145.85551 150.49720 447.23312
#> 3 -693.79086 128.59396 485.32805 -443.06021
#> 4 -1625.36818 1072.47796 -577.93686 -1219.32895
#> 5 -1005.22235 684.69419 -916.44885 -1064.99208
#> 6 -568.38690 1221.94145 865.10692 -1040.47512
#> 7 412.10208 369.35869 940.94827 -377.11673
#> 8 -106.59867 2157.23542 594.66263 745.63736
#> 9 -526.38585 -398.31450 1246.29688 74.37631
#> 10 927.04824 -717.47096 -1686.22973 -633.82082
#> 11 437.90531 -1937.53307 248.37401 625.88673
#> 12 1326.37414 790.77039 -1721.34247 2108.10692
#> 13 -354.85394 756.96730 859.21855 -1698.01137
#> 14 -728.37979 1314.12894 -1174.93784 -181.58039
#> 15 -503.60390 709.78621 -808.52331 1346.73791
#> 16 1275.97203 119.24287 715.95893 1702.73139
#> 17 -611.75224 -45.09980 606.23691 -468.78849
#> 18 549.17770 -876.81925 195.61712 442.47123
#> 19 1051.28507 -1204.15284 -933.70239 -235.00103
#> 20 627.95367 -82.87919 -959.09825 -1661.79832
#> 21 267.92346 265.69191 46.68587 -613.84706
#> 22 -94.47965 1562.00865 241.02344 -401.75535
#> 23 -42.06652 122.85616 -132.86843 1607.82962
#> 24 1852.68673 -195.02309 -544.34229 170.09302