List the variables, parameters, constants, or atoms in a canonical expression.
variables(object)
parameters(object)
constants(object)
atoms(object)A Leaf object.
set.seed(67)
m <- 50
n <- 10
beta <- Variable(n)
y <- matrix(rnorm(m), nrow = m)
X <- matrix(rnorm(m*n), nrow = m, ncol = n)
lambda <- Parameter()
expr <- sum_squares(y - X %*% beta) + lambda*p_norm(beta, 1)
variables(expr)
#> [[1]]
#> [1] "Variable((10, 1), nonneg=FALSE, nonpos=FALSE, pos=FALSE, neg=FALSE, complex=FALSE, imag=FALSE, symmetric=FALSE, diag=FALSE, PSD=FALSE, NSD=FALSE, hermitian=FALSE, boolean=FALSE, integer=FALSE, )"
#>
parameters(expr)
#> [[1]]
#> Parameter(1, 1, nonneg=FALSE, nonpos=FALSE, pos=FALSE, neg=FALSE, complex=FALSE, imag=FALSE, symmetric=FALSE, diag=FALSE, PSD=FALSE, NSD=FALSE, hermitian=FALSE, boolean=FALSE, integer=FALSE, )
constants(expr)
#> [[1]]
#> Constant(CONSTANT, UNKNOWN, (50,10))
#> [[2]]
#> Constant(CONSTANT, UNKNOWN, (50,1))
#> [[3]]
#> Constant(CONSTANT, NONNEGATIVE, (1,1))
lapply(constants(expr), function(c) { value(c) })
#> [[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.63195736 -1.964895961 0.860008617 -0.842977656 -0.08861545
#> [2,] -0.01203859 -0.137961474 -0.376804397 0.190060084 -0.68719707
#> [3,] 0.88500272 1.397790875 0.049243816 -0.339555896 -1.87828705
#> [4,] -0.19060391 1.344388759 -1.268777649 -0.875092410 0.90813144
#> [5,] 0.31261464 0.184950624 -0.515801663 0.619409187 0.86796790
#> [6,] 0.90503314 -0.109509276 -1.293598044 0.352984998 0.10595070
#> [7,] -0.24450151 0.929821100 -1.165262967 -1.101171368 0.83778367
#> [8,] -0.71798851 -1.896505146 0.812660428 -0.071818892 -0.28101686
#> [9,] -1.50757654 0.647895086 2.182262426 1.441539349 -1.17964455
#> [10,] 0.24296954 -0.846855938 1.892583969 -3.031495648 -0.16642823
#> [11,] 0.50049536 0.912853796 0.317925505 0.640295418 0.02913952
#> [12,] 0.08669051 -1.231958876 0.939298109 -0.920240227 -1.49529864
#> [13,] 1.24622426 0.105592682 -0.720718942 1.916003549 3.49199508
#> [14,] -0.59614003 0.569142523 -0.742818285 1.482915638 0.26638570
#> [15,] -1.35991692 1.121283648 -0.383450750 0.613860988 -0.18741880
#> [16,] -0.70283034 -0.283219818 -2.029903891 0.266503894 0.79059621
#> [17,] 0.20780195 -0.687275691 1.499485948 -0.042250467 -0.05817170
#> [18,] -0.10490873 -0.058686385 -0.397508230 0.105058921 -0.44600585
#> [19,] 0.51016858 0.213021774 1.333485315 0.274450375 -0.46266106
#> [20,] 0.06842445 0.272568205 -0.703955035 -1.067679753 -1.88889261
#> [21,] -0.85826390 -0.826390215 0.605329294 0.411178931 -0.77439402
#> [22,] 1.45752339 0.457980792 -0.233614722 0.163015496 -0.60589575
#> [23,] 0.73888648 0.057879203 -1.382481185 0.705607617 0.78323641
#> [24,] -0.45180288 0.086504819 0.349358183 -0.753352940 0.63155311
#> [25,] 0.02189908 -1.149776655 -1.712506714 1.115389438 -1.05073368
#> [26,] 0.60465417 0.022147565 -0.114591501 0.201688095 1.68624022
#> [27,] -2.09079746 0.712116214 0.283016906 0.394310039 -0.60809607
#> [28,] 1.06127049 1.055137432 -0.643212071 0.204962106 0.99244467
#> [29,] 0.11114735 -0.310614342 0.007697771 0.904621373 -0.09620114
#> [30,] -1.02224724 1.096577160 -1.074293677 -0.291700200 -0.65087658
#> [31,] -1.36258364 0.476182767 0.716691864 0.451339231 0.06194850
#> [32,] -0.97172574 1.757395910 -0.811570284 -0.350781311 -1.88964973
#> [33,] -1.48613027 -1.171063387 -0.143626348 0.400029978 0.44229754
#> [34,] 0.44606733 2.263486941 1.521930221 -0.782472054 -0.12852919
#> [35,] -1.23474770 -1.268876731 -0.576666294 0.127052078 0.46550417
#> [36,] -2.27200877 0.002342348 -0.098376181 -0.446530859 -0.15540930
#> [37,] 1.57494757 0.443740245 0.387082901 -0.300527347 0.28642425
#> [38,] 0.46446258 -0.609090255 -1.939251860 -0.125543386 0.86317131
#> [39,] -0.51759038 -1.217686325 0.013450320 0.223125411 -0.31510555
#> [40,] 0.52454228 1.368238250 -0.329210607 1.589504716 -0.64676129
#> [41,] 0.47391445 -0.315885204 1.329507755 0.618024785 -0.32305503
#> [42,] 1.88788764 -0.240349904 0.687019045 0.756182047 0.77195661
#> [43,] -0.14832436 2.836184242 0.842066789 0.001415793 -0.52129863
#> [44,] -0.17159188 1.819086688 -0.233485969 1.406562202 1.04070740
#> [45,] 1.40102920 -0.024602093 -0.113244502 -0.907131429 0.59055751
#> [46,] 0.91003052 0.786560549 -0.532820029 0.497925310 -0.50231949
#> [47,] 2.15044477 0.578286066 -2.178290779 -1.838169419 0.55128414
#> [48,] -1.26782525 0.510858481 1.295307619 -1.226446232 0.99001587
#> [49,] 0.52759312 0.072901398 1.295103245 -0.819840718 0.12677239
#> [50,] -0.53374221 -1.042752157 -0.133471345 0.022019475 0.37640557
#> [,6] [,7] [,8] [,9] [,10]
#> [1,] -0.05443793 -0.606610885 0.11105976 0.0007414949 -1.58707438
#> [2,] 0.27988123 0.366859479 1.49892129 0.3824260097 -0.97842104
#> [3,] 0.49009414 2.223717045 0.01136356 -0.7480021661 0.23497781
#> [4,] -0.69795958 -1.246636650 0.60458399 -0.5917989453 -0.59677170
#> [5,] 0.31862250 1.348032732 0.42435662 -0.1705467458 -1.28014687
#> [6,] 0.75719209 0.140119478 0.41928402 0.1267108248 -0.69868597
#> [7,] -0.69973253 0.088259149 0.33014329 0.5189889220 0.79742075
#> [8,] 0.37966457 -0.223239856 -1.60976164 0.7012080488 1.03733680
#> [9,] 1.31080028 0.563227483 0.24695014 0.0873011380 0.56561105
#> [10,] 0.79336535 1.004293608 -0.28517473 0.2824039612 -0.93294933
#> [11,] 1.00490789 -0.329599526 -1.04718589 -0.1063878946 -0.64511614
#> [12,] 1.56962389 2.070730292 -0.54642026 0.4246935963 -0.52414475
#> [13,] 1.02124739 0.797099637 0.65117887 -1.1050647128 -0.78895662
#> [14,] 1.26393825 -1.241378027 0.30054851 0.1712922317 2.05517965
#> [15,] 2.21650049 0.177789596 0.36995154 -1.8577816199 1.19750008
#> [16,] 0.67300027 -0.647075128 -0.35416546 -1.2502629345 1.18892133
#> [17,] 0.29375854 -1.195292141 -0.13296235 -0.5685434044 1.03813364
#> [18,] -1.55635575 0.963198478 -0.20008581 0.8719180289 0.29553321
#> [19,] 0.10093960 1.550485315 -0.99883408 -1.1722943467 -0.20801916
#> [20,] 1.35444742 0.030664217 -0.16378557 -0.4215011030 -0.57164475
#> [21,] 0.02863044 0.068970577 -0.93167250 1.0111739424 0.44325482
#> [22,] 1.08801840 0.115423643 0.66821991 0.6090616238 -0.53142269
#> [23,] 1.05395246 0.151657944 0.75867749 1.0446097894 -0.41601657
#> [24,] -0.28994241 -0.864513685 -1.84675067 -0.1296353524 0.18771275
#> [25,] -0.57830668 0.620093710 0.72701679 -2.0934722906 -2.25992074
#> [26,] 0.35152606 0.263347334 -1.93802264 0.6555091002 -1.05190160
#> [27,] 1.41498901 -2.403991604 1.46231690 2.0719886597 -0.69559340
#> [28,] 0.57839624 -0.822413655 -0.38836415 0.9809903319 1.37748579
#> [29,] -1.51578052 -0.869306948 -0.25360399 -1.4512718289 -0.27610752
#> [30,] 0.31961505 1.205158731 0.50245107 1.2978497996 1.19344545
#> [31,] 2.10110519 1.041932888 -0.18598947 -0.0058174703 0.98798346
#> [32,] -0.71307255 -1.083425636 -0.97859022 -0.8592404493 -0.87795162
#> [33,] 0.59856344 2.735176018 0.30493282 -0.2737530400 0.43065117
#> [34,] 0.17287897 -0.147193617 -2.27986191 -0.4472411843 -2.04556154
#> [35,] 0.92853317 -1.326970716 -1.72680284 1.3525578564 -0.67290347
#> [36,] 0.57223167 0.179825356 1.09902353 -0.4412776000 1.45732739
#> [37,] -0.42849008 -1.760923272 -1.06430667 -0.3231614395 0.45275502
#> [38,] 1.32296899 1.632195201 -0.73231713 0.7715829370 1.09318417
#> [39,] 1.04032781 -1.730173282 1.76445144 -2.3754346242 -0.11640416
#> [40,] 0.27338329 0.463762226 0.18876260 -0.0246162581 0.47448021
#> [41,] -0.87616042 0.045431253 -1.00952391 -1.2608155240 0.51983995
#> [42,] 0.70496592 -0.009814463 -1.01235210 -0.9941601099 -0.64905679
#> [43,] 0.88066834 -0.297389063 -0.99611817 -1.8100011905 0.03483904
#> [44,] -1.45563176 0.132982429 -1.98682526 0.1648399080 -1.66358806
#> [45,] 1.37555601 0.204851037 1.80995121 0.8871570258 -0.55273474
#> [46,] 0.19642012 -0.643291931 -1.90764949 0.8958945749 -0.11294886
#> [47,] -1.40789602 0.005949535 1.59457038 -0.4029563453 -0.49922272
#> [48,] -0.16014569 -0.580978546 0.84688157 -1.4646843061 0.63620319
#> [49,] 0.34540263 -0.520293907 -0.79756689 -0.6109745706 -0.94191705
#> [50,] -0.81360608 -0.133207418 -0.27687867 0.2252913874 -0.75055187
#>
#> [[2]]
#> [,1]
#> [1,] 1.219401917
#> [2,] -0.124400504
#> [3,] -0.957498880
#> [4,] -0.079169514
#> [5,] -1.143411311
#> [6,] -1.057187889
#> [7,] -0.384534338
#> [8,] 0.608341172
#> [9,] 1.672466522
#> [10,] -1.537294348
#> [11,] -1.378291892
#> [12,] 0.495431136
#> [13,] 0.938149788
#> [14,] -0.375735281
#> [15,] 0.506424449
#> [16,] -0.709521894
#> [17,] -0.713970427
#> [18,] 0.131593097
#> [19,] -0.568898236
#> [20,] -0.098535501
#> [21,] -1.684572159
#> [22,] 1.283450112
#> [23,] 0.797401718
#> [24,] 1.278698884
#> [25,] 0.437544427
#> [26,] -1.155518925
#> [27,] -1.422846320
#> [28,] 1.584043929
#> [29,] -1.759629791
#> [30,] -0.374976381
#> [31,] 0.596146625
#> [32,] -0.002306772
#> [33,] 0.047815282
#> [34,] -1.761653383
#> [35,] -1.946314391
#> [36,] 1.042578183
#> [37,] 0.298843763
#> [38,] 0.622101833
#> [39,] 1.091471992
#> [40,] 1.755396157
#> [41,] -0.731823695
#> [42,] -0.249385509
#> [43,] -0.664764451
#> [44,] -0.032864061
#> [45,] -0.982648096
#> [46,] -1.054473141
#> [47,] 0.020122987
#> [48,] -0.350979889
#> [49,] -0.292278167
#> [50,] -0.705051819
#>
#> [[3]]
#> [,1]
#> [1,] 1
#>