Description Usage Arguments Value Examples
This function creates gramm matrix for traning set baed upon several types of kernel and specified hyper paremeters. This function is essentially a wrappper functions that combines gramm and grammpred. Additionally this function divides each kernel matrix by it's trace, which is a common transformation used in MKL.
1 | kernels.gen(data, train.samples, kernels, degree, scale, sigma)
|
data |
List of data matrices |
train.samples |
Vector of indices that will be used as training samples |
kernels |
Character vector of kernel types |
degree |
Degree of polynomial kernel matrix |
scale |
Leading coefficient on the polynomial kernel |
sigma |
Hyperparameter for the radial basis kernel |
K.train Gramm matricesfor training data
K.test Gramm matrices for test data
1 2 3 4 5 6 7 8 9 10 11 | library(kernlab)
data(benchmark.data)
example.data=benchmark.data[[1]]
#Dividing the samples into a train set and test set.
training.samples=sample(1:dim(example.data)[1],floor(0.7*dim(example.data)[1]),replace=FALSE)
#Specifying the type and hyperparameters for each kernel.
kernels=c('linear',rep('radial',3))
degree=rep(0,4)
scale=rep(0,4)
sigma=c(0,2^seq(-3:0))
kernels.gen(example.data[,1:2], training.samples, kernels, degree, scale, sigma)
|
$K.train
$K.train[[1]]
An object of class "kernelMatrix"
[,1] [,2] [,3] [,4] [,5]
[1,] 0.0088548320 2.647693e-03 0.0099975836 5.076908e-04 0.0095157142
[2,] 0.0026476933 8.512235e-04 0.0029602406 2.389837e-04 0.0025746008
[3,] 0.0099975836 2.960241e-03 0.0113020828 5.305273e-04 0.0108762932
[4,] 0.0005076908 2.389837e-04 0.0005305273 1.567686e-04 0.0001491766
[5,] 0.0095157142 2.574601e-03 0.0108762932 1.491766e-04 0.0114568266
[6,] 0.0023427871 6.777219e-04 0.0026562949 1.009399e-04 0.0026213028
[7,] 0.0009387713 3.145629e-05 0.0011819561 -3.111611e-04 0.0021421765
[8,] 0.0100138483 2.883258e-03 0.0113605191 4.116078e-04 0.0112659321
[9,] 0.0097115639 2.847506e-03 0.0109924742 4.742808e-04 0.0106926597
[10,] 0.0089928772 2.465531e-03 0.0102628411 1.884118e-04 0.0106800531
[11,] 0.0012155559 4.443347e-04 0.0013328339 1.881160e-04 0.0009385586
[12,] 0.0108465564 3.097985e-03 0.0123174661 4.091801e-04 0.0123165785
[13,] 0.0020078610 5.062658e-04 0.0023130588 -2.268537e-05 0.0025856279
[14,] 0.0088888513 2.507673e-03 0.0101095282 2.897066e-04 0.0102352059
[15,] 0.0101482493 2.756083e-03 0.0115942064 1.742363e-04 0.0121713694
[16,] 0.0023580864 7.432492e-04 0.0026437259 1.910733e-04 0.0023605889
[17,] 0.0114852426 3.127688e-03 0.0131175368 2.096402e-04 0.0137362452
[18,] 0.0014848248 3.137405e-04 0.0017402130 -1.055832e-04 0.0021878478
[19,] 0.0023564960 4.102867e-04 0.0028047178 -2.958965e-04 0.0038707178
[20,] 0.0089602367 2.501308e-03 0.0102036934 2.532214e-04 0.0104379208
[21,] 0.0108759643 2.882835e-03 0.0124603133 8.293329e-05 0.0133664666
[22,] 0.0021330490 6.599980e-04 0.0023974618 1.547961e-04 0.0021913381
[23,] 0.0120270133 3.751891e-03 0.0135029259 9.175377e-04 0.0122167671
[24,] 0.0120356497 3.511597e-03 0.0136315900 5.623771e-04 0.0133304175
[25,] 0.0119823584 3.253092e-03 0.0136901854 2.041120e-04 0.0143761330
[26,] 0.0080133111 2.062422e-03 0.0092108168 -2.913584e-05 0.0101285015
[27,] 0.0018213039 5.310513e-04 0.0020629792 8.459858e-05 0.0020187993
[28,] 0.0105132743 3.062050e-03 0.0119099752 4.833793e-04 0.0116686856
[29,] 0.0100211559 2.910294e-03 0.0113566026 4.484174e-04 0.0111607862
[30,] 0.0022142320 7.200923e-04 0.0024715843 2.119033e-04 0.0021157063
[31,] 0.0106168121 2.992412e-03 0.0120761276 3.420065e-04 0.0122373698
[32,] 0.0025583403 5.323677e-04 0.0030023889 -1.939332e-04 0.0038069492
[33,] 0.0017032994 1.213497e-04 0.0021130623 -4.704460e-04 0.0035944831
[34,] 0.0029780813 9.140525e-04 0.0033508731 2.052673e-04 0.0030931627
[35,] 0.0115425605 3.188340e-03 0.0131609472 2.766461e-04 0.0135999814
[36,] 0.0019295991 6.895947e-04 0.0021234806 2.755534e-04 0.0015615112
[37,] 0.0091164614 2.682274e-03 0.0103143483 4.587732e-04 0.0099953467
[38,] 0.0014056556 3.605374e-04 0.0016163245 -6.930303e-06 0.0017823416
[39,] 0.0102661029 2.788014e-03 0.0117288893 1.761487e-04 0.0123130628
[40,] 0.0093049925 2.621133e-03 0.0105847453 2.975013e-04 0.0107322894
[41,] 0.0018764818 6.101384e-04 0.0020946345 1.794136e-04 0.0017935028
[42,] 0.0106238369 3.053540e-03 0.0120551589 4.288463e-04 0.0119765177
[43,] 0.0083209752 2.356518e-03 0.0094592359 2.844527e-04 0.0095401591
[44,] 0.0119270181 3.333618e-03 0.0135801752 3.430897e-04 0.0138752612
[45,] 0.0007080967 1.674347e-04 0.0008211661 -2.426361e-05 0.0009623536
[46,] 0.0013555717 4.680589e-04 0.0014998017 1.695774e-04 0.0011715176
[47,] 0.0049690716 1.472267e-03 0.0056169796 2.650731e-04 0.0054015085
[48,] 0.0132142566 3.794762e-03 0.0149962072 5.285427e-04 0.0149118837
[49,] 0.0026711216 6.000633e-04 0.0031130917 -1.377188e-04 0.0037736717
[50,] 0.0089585617 2.651959e-03 0.0101277971 4.744661e-04 0.0097488214
[51,] 0.0100839737 2.775491e-03 0.0115027239 2.271147e-04 0.0119266574
[52,] 0.0077579209 2.191937e-03 0.0088216673 2.577030e-04 0.0089179004
[53,] 0.0027407040 9.589398e-04 0.0030261328 3.613258e-04 0.0023112203
[54,] 0.0094497489 2.670207e-03 0.0107453486 3.142785e-04 0.0108615254
[55,] 0.0106320080 3.166467e-03 0.0120102909 5.911024e-04 0.0114829215
[56,] 0.0120862063 3.328216e-03 0.0137858569 2.746047e-04 0.0142873288
[57,] 0.0104928988 2.722475e-03 0.0120502450 -6.125266e-06 0.0131631536
[58,] 0.0036571596 1.192766e-03 0.0040805450 3.549971e-04 0.0034788878
[59,] 0.0012621469 4.302821e-04 0.0013991386 1.498091e-04 0.0011158710
[60,] 0.0033682632 1.021610e-03 0.0037958704 2.142963e-04 0.0035538952
[61,] 0.0025885254 8.659385e-04 0.0028775703 2.830464e-04 0.0023636612
[62,] 0.0106388590 3.008919e-03 0.0120961652 3.577900e-04 0.0122159770
[63,] 0.0104560753 2.834256e-03 0.0119485496 1.715744e-04 0.0125652392
[64,] 0.0024788019 8.205660e-04 0.0027598379 2.583574e-04 0.0023028773
[65,] 0.0092135942 2.623105e-03 0.0104672058 3.351679e-04 0.0105008366
[66,] 0.0018677248 3.407321e-04 0.0022153681 -2.117603e-04 0.0029971922
[67,] 0.0009070381 3.180947e-04 0.0010011422 1.206542e-04 0.0007615678
[68,] 0.0016054195 2.002542e-04 0.0019495892 -3.176563e-04 0.0029974350
[69,] 0.0006581009 3.007798e-04 0.0006921123 1.900254e-04 0.0002343229
[70,] 0.0099531205 2.769153e-03 0.0113389301 2.676261e-04 0.0116369471
[71,] 0.0126079001 3.603518e-03 0.0143164627 4.792273e-04 0.0143054517
[72,] 0.0016630899 4.799160e-04 0.0018862210 6.992252e-05 0.0018661810
[73,] 0.0141868923 4.079077e-03 0.0160975545 5.747704e-04 0.0159867300
[74,] -0.0002044032 -6.387629e-05 -0.0002294322 -1.575734e-05 -0.0002071205
[75,] 0.0099458732 2.762273e-03 0.0113330547 2.603099e-04 0.0116505864
[76,] 0.0011787146 3.062118e-04 0.0013534703 -1.257646e-07 0.0014769303
[77,] 0.0014516644 4.162727e-04 0.0016477181 5.717859e-05 0.0016409067
[78,] 0.0032168958 1.018373e-03 0.0036043934 2.671553e-04 0.0032001461
[79,] 0.0022964416 6.375778e-04 0.0026168384 5.979011e-05 0.0026910242
[80,] 0.0127308393 3.771193e-03 0.0143911711 6.779818e-04 0.0138422886
[81,] 0.0020049457 4.552276e-04 0.0023343291 -9.631408e-05 0.0028106052
[82,] 0.0017444966 6.075072e-04 0.0019275819 2.257841e-04 0.0014841808
[83,] 0.0027596136 7.942283e-04 0.0031308947 1.129343e-04 0.0031062040
[84,] 0.0037221991 1.157376e-03 0.0041808268 2.784247e-04 0.0037981309
[85,] 0.0104960833 2.866252e-03 0.0119839124 2.032043e-04 0.0125171403
[86,] 0.0087505926 2.611399e-03 0.0098824012 4.942085e-04 0.0094270016
[87,] 0.0105583652 2.963546e-03 0.0120157145 3.219764e-04 0.0122263520
[88,] 0.0116965513 3.113881e-03 0.0133938108 1.090140e-04 0.0143134061
[89,] 0.0018879350 5.019196e-04 0.0021622270 1.658476e-05 0.0023134601
[90,] 0.0017840211 3.746695e-04 0.0020919922 -1.302128e-04 0.0026391208
[91,] 0.0002278120 -5.193640e-05 0.0003159916 -1.627410e-04 0.0007907108
[92,] 0.0114112286 3.108953e-03 0.0130323082 2.103700e-04 0.0136412639
[93,] 0.0039519683 9.920277e-04 0.0045548417 -5.113610e-05 0.0051092959
[94,] 0.0106563942 3.200433e-03 0.0120247642 6.315613e-04 0.0113878379
[95,] 0.0007451732 2.290576e-04 0.0008382844 5.186569e-05 0.0007724042
[96,] 0.0035595025 1.371286e-03 0.0038685833 6.535753e-04 0.0024294214
[97,] 0.0099258846 2.697076e-03 0.0113394812 1.724441e-04 0.0118983852
[98,] 0.0031452601 1.099711e-03 0.0034732020 4.135219e-04 0.0026559179
[99,] 0.0110553047 3.232314e-03 0.0125179465 5.264509e-04 0.0122139261
[100,] 0.0032130380 9.204659e-04 0.0036474090 1.252522e-04 0.0036359458
[101,] 0.0024577558 7.945649e-04 0.0027457250 2.282911e-04 0.0023698744
[102,] 0.0025228404 7.428905e-04 0.0028540373 1.278553e-04 0.0027632733
[103,] 0.0015886165 4.560569e-04 0.0018029154 6.332317e-05 0.0017933826
[104,] 0.0088464180 2.497907e-03 0.0100601882 2.915523e-04 0.0101763198
[105,] 0.0010804549 2.080403e-04 0.0012762102 -1.064936e-04 0.0016841331
[106,] 0.0030363369 6.215518e-04 0.0035683852 -2.452248e-04 0.0045649896
[107,] 0.0032956993 1.293192e-03 0.0035703507 6.396007e-04 0.0021423567
[108,] 0.0106367021 2.923543e-03 0.0121352147 2.335902e-04 0.0125989359
[109,] 0.0092306586 2.501825e-03 0.0105483500 1.510774e-04 0.0110938438
[110,] 0.0099202280 2.749200e-03 0.0113067461 2.509250e-04 0.0116476032
[111,] 0.0084878351 2.290408e-03 0.0097044257 1.241497e-04 0.0102469464
[112,] 0.0025484762 8.460510e-04 0.0028362265 2.691638e-04 0.0023566006
[113,] 0.0005577274 -1.882948e-04 0.0008035444 -4.879584e-04 0.0022138388
[114,] 0.0017459741 5.997665e-04 0.0019332563 2.138868e-04 0.0015229750
[115,] 0.0126859074 3.587400e-03 0.0144238489 4.259406e-04 0.0145686331
[116,] 0.0008036727 -4.870582e-06 0.0010274303 -3.129484e-04 0.0019784924
[117,] 0.0036022303 1.286615e-03 0.0039645362 5.133274e-04 0.0029184381
[118,] 0.0107033407 2.819683e-03 0.0122710597 5.614410e-05 0.0132334112
[119,] 0.0124953884 3.666650e-03 0.0141420500 6.144876e-04 0.0137445064
[120,] 0.0113176546 3.344084e-03 0.0127978376 5.902921e-04 0.0123443264
[121,] 0.0021872007 6.515108e-04 0.0024706851 1.217618e-04 0.0023617490
[122,] 0.0114771571 3.391348e-03 0.0129781343 5.988096e-04 0.0125176818
[123,] 0.0015265213 1.709047e-04 0.0018633281 -3.306118e-04 0.0029388306
[124,] 0.0027303378 7.936074e-04 0.0030938588 1.231652e-04 0.0030377624
[125,] 0.0104740818 2.900243e-03 0.0119392087 2.613503e-04 0.0123090266
[126,] 0.0116558858 3.199939e-03 0.0132998094 2.505077e-04 0.0138231046
[127,] 0.0122287758 3.488250e-03 0.0138893442 4.546988e-04 0.0139066994
[128,] 0.0008193816 2.695414e-04 0.0009131125 8.291024e-05 0.0007689644
[129,] 0.0020830560 7.883612e-04 0.0022708508 3.617887e-04 0.0014859673
[130,] 0.0088843994 2.488112e-03 0.0101134271 2.627567e-04 0.0103133130
[131,] 0.0026279992 9.691472e-04 0.0028773857 4.191598e-04 0.0019904543
[132,] 0.0112969485 3.418927e-03 0.0127347843 7.077684e-04 0.0119536053
[133,] 0.0100697309 3.023801e-03 0.0113629838 5.961482e-04 0.0107629061
[134,] 0.0100030527 2.782258e-03 0.0113961999 2.678163e-04 0.0116989051
[135,] 0.0018290825 1.431100e-04 0.0022628387 -4.864448e-04 0.0038017265
[136,] 0.0099929054 3.084367e-03 0.0112353429 7.140731e-04 0.0103004933
[137,] 0.0100847877 2.700274e-03 0.0115405886 1.166608e-04 0.0122706543
[138,] 0.0011468107 1.741480e-04 0.0013774376 -1.813738e-04 0.0019997700
[139,] 0.0113584142 3.288679e-03 0.0128769514 4.936489e-04 0.0126954776
[140,] 0.0009061226 1.632969e-04 0.0010757643 -1.056762e-04 0.0014632139
[,6] [,7] [,8] [,9] [,10]
[1,] 2.342787e-03 9.387713e-04 0.0100138483 0.0097115639 0.0089928772
[2,] 6.777219e-04 3.145629e-05 0.0028832576 0.0028475059 0.0024655313
[3,] 2.656295e-03 1.181956e-03 0.0113605191 0.0109924742 0.0102628411
[4,] 1.009399e-04 -3.111611e-04 0.0004116078 0.0004742808 0.0001884118
[5,] 2.621303e-03 2.142177e-03 0.0112659321 0.0106926597 0.0106800531
[6,] 6.285781e-04 3.438224e-04 0.0026919399 0.0025910409 0.0024648729
[7,] 3.438224e-04 1.143034e-03 0.0015263422 0.0012655586 0.0018888667
[8,] 2.691940e-03 1.526342e-03 0.0115315066 0.0110877955 0.0105865409
[9,] 2.591041e-03 1.265559e-03 0.0110877955 0.0107045423 0.0100744920
[10,] 2.464873e-03 1.888867e-03 0.0105865409 0.0100744920 0.0099716745
[11,] 2.906406e-04 -2.097031e-04 0.0012238875 0.0012566062 0.0009309892
[12,] 2.925375e-03 1.758065e-03 0.0125370855 0.0120335055 0.0115608192
[13,] 5.672710e-04 6.068617e-04 0.0024461240 0.0022912174 0.0023923605
[14,] 2.409301e-03 1.571180e-03 0.0103323382 0.0098910597 0.0095911209
[15,] 2.791588e-03 2.241277e-03 0.0119955284 0.0113936394 0.0113511719
[16,] 6.092851e-04 9.025745e-05 0.0025956021 0.0025501175 0.0022516466
[17,] 3.156113e-03 2.500965e-03 0.0135600439 0.0128866601 0.0128147391
[18,] 4.427236e-04 7.026811e-04 0.0019219910 0.0017517812 0.0019967779
[19,] 7.361846e-04 1.482094e-03 0.0032136904 0.0028631339 0.0034979044
[20,] 2.438800e-03 1.694762e-03 0.0104647307 0.0099955850 0.0097676212
[21,] 3.018911e-03 2.698756e-03 0.0129878620 0.0122777629 0.0124311795
[22,] 5.558579e-04 1.332287e-04 0.0023708696 0.0023184185 0.0020830104
[23,] 3.122459e-03 6.233038e-04 0.0133109907 0.0130432837 0.0116302232
[24,] 3.217749e-03 1.641053e-03 0.0137735733 0.0132826824 0.0125505422
[25,] 3.296538e-03 2.650962e-03 0.0141655545 0.0134538735 0.0134068246
[26,] 2.247905e-03 2.246419e-03 0.0096842308 0.0091044828 0.0093904660
[27,] 4.870600e-04 2.497733e-04 0.0020849376 0.0020103376 0.0019005110
[28,] 2.812796e-03 1.455960e-03 0.0120413816 0.0116076550 0.0109831926
[29,] 2.684357e-03 1.423075e-03 0.0114934387 0.0110722840 0.0105006930
[30,] 5.636206e-04 -8.128505e-06 0.0023958968 0.0023735462 0.0020310227
[31,] 2.878712e-03 1.888099e-03 0.0123460234 0.0118164438 0.0114658987
[32,] 7.659506e-04 1.245063e-03 0.0033268703 0.0030260710 0.0034712237
[33,] 5.992154e-04 1.804813e-03 0.0026495481 0.0022353709 0.0031859089
[34,] 7.789056e-04 2.170379e-04 0.0033239353 0.0032439034 0.0029360357
[35,] 3.154616e-03 2.324865e-03 0.0135437374 0.0129083298 0.0127096369
[36,] 4.674009e-04 -2.669408e-04 0.0019721920 0.0020096749 0.0015369899
[37,] 2.428723e-03 1.149253e-03 0.0103911023 0.0100398290 0.0094224080
[38,] 3.947921e-04 3.992576e-04 0.0017010766 0.0015982398 0.0016518926
[39,] 2.824036e-03 2.267623e-03 0.0121349762 0.0115260278 0.0114832800
[40,] 2.523604e-03 1.661228e-03 0.0108234018 0.0103578494 0.0100549237
[41,] 4.776917e-04 -6.411767e-06 0.0020306486 0.0020116028 0.0017216461
[42,] 2.857967e-03 1.641717e-03 0.0122439172 0.0117682678 0.0112514943
[43,] 2.251914e-03 1.432908e-03 0.0096553677 0.0092505873 0.0089444084
[44,] 3.244723e-03 2.238680e-03 0.0139219865 0.0133012803 0.0129862885
[45,] 2.043080e-04 2.605147e-04 0.0008833618 0.0008185398 0.0008853782
[46,] 3.346328e-04 -1.189045e-04 0.0014160541 0.0014273438 0.0011412777
[47,] 1.319888e-03 5.835000e-04 0.0056447222 0.0054626629 0.0050973579
[48,] 3.556101e-03 2.055941e-03 0.0152355625 0.0146408832 0.0140074371
[49,] 7.827807e-04 1.114788e-03 0.0033910749 0.0031176026 0.0034582584
[50,] 2.380475e-03 1.061763e-03 0.0101810286 0.0098506540 0.0091986222
[51,] 2.759790e-03 2.072745e-03 0.0118508238 0.0112865774 0.0111409215
[52,] 2.101496e-03 1.357395e-03 0.0090115703 0.0086294788 0.0083583951
[53,] 6.717322e-04 -2.932171e-04 0.0028394680 0.0028738707 0.0022600964
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[102,] 5.941867e-03 8.097037e-20 3.006723e-92 1.535551e-83 3.268127e-78
[103,] 9.284272e-04 9.048158e-16 5.401792e-115 1.343805e-105 1.312723e-97
[104,] 4.298902e-72 2.554169e-102 2.722280e-05 6.087865e-06 3.029425e-04
[105,] 2.613690e-07 4.616315e-07 9.868004e-127 2.777284e-119 9.494782e-103
[106,] 1.185805e-19 5.102888e-10 1.575125e-85 3.092834e-84 7.513616e-59
[107,] 1.677251e-29 4.162983e-83 2.155270e-113 2.333166e-97 2.237150e-118
[108,] 2.750023e-122 7.541788e-149 2.159719e-08 1.728715e-13 2.517629e-07
[109,] 2.677045e-89 1.345154e-109 7.885414e-09 1.221017e-12 3.065392e-03
[110,] 1.077237e-100 2.645442e-128 1.751804e-05 6.686869e-09 3.234523e-04
[111,] 3.878993e-73 2.563831e-91 8.617178e-11 1.235971e-13 2.107817e-03
[112,] 1.425568e-05 1.560167e-32 3.803733e-98 4.709909e-87 3.782803e-89
[113,] 2.658474e-33 1.106470e-05 2.132197e-155 1.637875e-153 2.687202e-117
[114,] 9.325571e-06 1.471136e-28 3.511828e-117 1.704919e-105 2.598768e-105
[115,] 1.232483e-176 1.795035e-217 4.977122e-16 9.268822e-22 4.128158e-24
[116,] 5.780963e-18 6.633212e-03 1.117019e-138 2.981001e-134 4.621845e-107
[117,] 8.609255e-18 1.835167e-62 2.199775e-90 4.087539e-77 3.066688e-91
[118,] 6.287718e-141 7.716153e-155 2.091976e-20 1.094165e-28 3.999301e-13
[119,] 2.388157e-163 1.351578e-217 7.969471e-13 6.110297e-15 2.252300e-27
[120,] 5.981563e-128 3.704288e-180 1.129491e-06 6.150273e-07 5.015321e-19
[121,] 5.261090e-03 2.395230e-19 1.169029e-100 2.076967e-91 5.029174e-86
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[123,] 7.659577e-20 1.031936e-03 1.059817e-121 5.690949e-119 2.796793e-90
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[129,] 3.667315e-11 1.300006e-44 3.900670e-118 1.498695e-104 6.824593e-112
[130,] 3.512713e-74 2.318921e-102 1.296635e-05 7.819995e-07 1.370569e-03
[131,] 8.284475e-13 1.689406e-50 1.563018e-107 5.215076e-94 6.077779e-104
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[,11] [,12] [,13] [,14] [,15]
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[140,] 3.176925e-11 1.491285e-156 8.467333e-05 3.453089e-102 3.648360e-142
[,16] [,17] [,18] [,19] [,20]
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