Last updated: 2022-09-20
Checks: 7 0
Knit directory: udr-data-application/
This reproducible R Markdown analysis was created with workflowr (version 1.6.2). The Checks tab describes the reproducibility checks that were applied when the results were created. The Past versions tab lists the development history.
Great! Since the R Markdown file has been committed to the Git repository, you know the exact version of the code that produced these results.
Great job! The global environment was empty. Objects defined in the global environment can affect the analysis in your R Markdown file in unknown ways. For reproduciblity it’s best to always run the code in an empty environment.
The command set.seed(20191120)
was run prior to running the code in the R Markdown file. Setting a seed ensures that any results that rely on randomness, e.g. subsampling or permutations, are reproducible.
Great job! Recording the operating system, R version, and package versions is critical for reproducibility.
Nice! There were no cached chunks for this analysis, so you can be confident that you successfully produced the results during this run.
Great job! Using relative paths to the files within your workflowr project makes it easier to run your code on other machines.
Great! You are using Git for version control. Tracking code development and connecting the code version to the results is critical for reproducibility.
The results in this page were generated with repository version 0f24122. See the Past versions tab to see a history of the changes made to the R Markdown and HTML files.
Note that you need to be careful to ensure that all relevant files for the analysis have been committed to Git prior to generating the results (you can use wflow_publish
or wflow_git_commit
). workflowr only checks the R Markdown file, but you know if there are other scripts or data files that it depends on. Below is the status of the Git repository when the results were generated:
Ignored files:
Ignored: .DS_Store
Ignored: .Rproj.user/
Untracked files:
Untracked: t2d_patterns.pdf
Note that any generated files, e.g. HTML, png, CSS, etc., are not included in this status report because it is ok for generated content to have uncommitted changes.
These are the previous versions of the repository in which changes were made to the R Markdown (analysis/t2d_application.Rmd
) and HTML (docs/t2d_application.html
) files. If you’ve configured a remote Git repository (see ?wflow_git_remote
), click on the hyperlinks in the table below to view the files as they were in that past version.
File | Version | Author | Date | Message |
---|---|---|---|---|
Rmd | 0f24122 | yunqiyang0215 | 2022-09-20 | wflow_publish("analysis/t2d_application.rmd") |
Data Description: In total, it contains 324 SNPs with 65 conditions. All SNPs are strong signals in at least one condition, meaning abs(z-score) >= 1.96. After remove SNPs with missing z-score, there are 305 SNPs.
Initialization: I randomly initialized 20 unconstrained Us and 4 rank1 Us for fitting. I use nuclear norm regularization with λ (regularization strength) equals the number of conditions. V is set to be identity matrix.
library("readxl")
library(udr)
library(gridExtra)
dat = read_excel("./data/t2d.xlsx")
dat = data.frame(dat)
rownames(dat) = dat[,1]
dat = dat[,-1]
summary(dat)
MAGIC_dv1_2hrG ADIPOGen_dv1_Adiponectin BFpercent_dv1_BFP
Min. :-4.7016 Min. :-9.0448 Min. :-6.708333
1st Qu.:-0.1263 1st Qu.:-1.4799 1st Qu.:-1.081263
Median : 0.6257 Median :-0.4483 Median :-0.098020
Mean : 0.6327 Mean :-0.6359 Mean :-0.009601
3rd Qu.: 1.3767 3rd Qu.: 0.4888 3rd Qu.: 0.981013
Max. : 4.6160 Max. : 3.8193 Max. : 9.941176
NA's :3
GiantUKBB_eu_dv1_BMI MAGIC_dv1_FG MAGIC_dv2_FI MAGIC_eu_dv6_HBA1C
Min. :-8.4444 Min. :-3.636 Min. :-4.6341 Min. :-1.737
1st Qu.:-2.0192 1st Qu.: 0.297 1st Qu.:-0.7466 1st Qu.: 0.460
Median : 0.1177 Median : 1.050 Median : 0.2190 Median : 1.307
Mean : 1.3130 Mean : 1.210 Mean : 0.3513 Mean : 1.528
3rd Qu.: 3.1202 3rd Qu.: 1.805 3rd Qu.: 1.3587 3rd Qu.: 2.250
Max. :45.7647 Max. :13.953 Max. : 6.0000 Max. :11.200
NA's :5
GiantUKBB_eu_dv1_HEIGHT GIANT_eu_females_dv5_HIPCadjBMI
Min. :-40.7143 Min. :-12.4000
1st Qu.: -2.9706 1st Qu.: -1.4341
Median : -0.5333 Median : -0.3509
Mean : -0.8867 Mean : -0.5513
3rd Qu.: 1.8333 3rd Qu.: 0.5429
Max. : 24.9286 Max. : 4.6296
NA's :5 NA's :1
GIANT_eu_males_dv5_HIPCadjBMI MAGIC_dv1_HOMAB MAGIC_dv1_HOMAIR
Min. :-6.7308 Min. :-7.8378 Min. :-2.7660
1st Qu.:-1.2222 1st Qu.:-1.2320 1st Qu.:-0.5503
Median :-0.2778 Median :-0.3148 Median : 0.3604
Mean :-0.4019 Mean :-0.2984 Mean : 0.4397
3rd Qu.: 0.6455 3rd Qu.: 0.8188 3rd Qu.: 1.3436
Max. : 4.2708 Max. : 3.1429 Max. : 4.7500
NA's :11
MAGIC_dv4_ISIadjAgeSexBMI Leptin_eu_dv1_LEP Leptin_eu_dv1_LEPadjBMI
Min. :-6.4000 Min. :-3.8600 Min. :-4.2462
1st Qu.:-1.2121 1st Qu.:-0.5913 1st Qu.:-0.5949
Median :-0.2864 Median : 0.2083 Median : 0.2239
Mean :-0.4544 Mean : 0.1611 Mean : 0.2489
3rd Qu.: 0.4023 3rd Qu.: 0.9278 3rd Qu.: 1.0478
Max. : 2.9545 Max. : 4.9796 Max. : 5.2381
NA's :2 NA's :1 NA's :1
MAGIC_dv1_PI GIANT_eu_females_dv5_WAIST GIANT_eu_males_dv5_WAIST
Min. :-13.0000 Min. :-4.6000 Min. :-7.08333
1st Qu.: -0.4571 1st Qu.:-0.6598 1st Qu.:-1.09240
Median : 0.3392 Median : 0.3239 Median :-0.07896
Mean : 0.2867 Mean : 0.5726 Mean : 0.06923
3rd Qu.: 1.0064 3rd Qu.: 1.4706 3rd Qu.: 0.90079
Max. : 8.4444 Max. :15.7778 Max. :16.38298
NA's :1 NA's :6
GIANT_eu_females_dv5_WAISTadjBMI GIANT_eu_males_dv5_WAISTadjBMI
Min. :-4.3182 Min. :-5.3846
1st Qu.:-0.3024 1st Qu.:-1.0300
Median : 0.4615 Median :-0.1132
Mean : 0.6837 Mean :-0.1462
3rd Qu.: 1.4071 3rd Qu.: 0.7696
Max. :11.4286 Max. : 4.2466
NA's :1 NA's :8
GIANT_eu_females_dv5_WHR GIANT_eu_males_dv5_WHR GIANT_eu_females_dv5_WHRadjBMI
Min. :-5.40000 Min. :-5.7143 Min. :-4.1176
1st Qu.:-0.05289 1st Qu.:-0.5998 1st Qu.:-0.1176
Median : 0.72727 Median : 0.3158 Median : 0.6792
Mean : 1.04842 Mean : 0.3332 Mean : 1.0237
3rd Qu.: 1.83667 3rd Qu.: 1.1396 3rd Qu.: 1.7165
Max. :10.00000 Max. :10.4167 Max. :12.2000
NA's :1 NA's :9 NA's :1
GIANT_eu_males_dv5_WHRadjBMI MAGIC_dv5_CIR MAGIC_dv5_DI
Min. :-5.7143 Min. :-6.8182 Min. :-7.2727
1st Qu.:-0.6545 1st Qu.:-1.1805 1st Qu.:-1.1468
Median : 0.2600 Median :-0.3181 Median :-0.4317
Mean : 0.2605 Mean :-0.4284 Mean :-0.4514
3rd Qu.: 1.0727 3rd Qu.: 0.4436 3rd Qu.: 0.3856
Max. : 4.4000 Max. : 2.6500 Max. : 3.0938
NA's :11 NA's :2 NA's :2
UKBB_White.blood.cell..leukocyte..count_irnt_both
Min. :-18.2208
1st Qu.: -0.7697
Median : 0.6758
Mean : 0.6271
3rd Qu.: 2.4026
Max. : 15.3512
UKBB_Red.blood.cell..erythrocyte..count_irnt_both
Min. :-14.7225
1st Qu.: -0.9043
Median : 0.5586
Mean : 0.5325
3rd Qu.: 2.0537
Max. : 14.1924
UKBB_Haemoglobin.concentration_irnt_both
Min. :-16.5546
1st Qu.: -1.1570
Median : 0.2704
Mean : 0.2186
3rd Qu.: 1.5898
Max. : 10.6601
UKBB_Mean.corpuscular.volume_irnt_both
Min. :-21.6424
1st Qu.: -2.0429
Median : -0.5790
Mean : -0.6121
3rd Qu.: 0.7729
Max. : 34.0513
UKBB_Red.blood.cell..erythrocyte..distribution.width_irnt_both
Min. :-13.6756
1st Qu.: -1.6386
Median : -0.1589
Mean : 0.1490
3rd Qu.: 1.2334
Max. : 30.7538
UKBB_Platelet.count_irnt_both
Min. :-16.9557
1st Qu.: -1.6401
Median : -0.3097
Mean : -0.3738
3rd Qu.: 1.1401
Max. : 12.3754
UKBB_Mean.platelet..thrombocyte..volume_irnt_both
Min. :-12.5186
1st Qu.: -1.2068
Median : 0.1079
Mean : 0.2361
3rd Qu.: 1.2998
Max. : 22.8954
UKBB_Platelet.distribution.width_irnt_both UKBB_Lymphocyte.count_irnt_both
Min. :-9.9613 Min. :-16.6525
1st Qu.:-0.6762 1st Qu.: -0.7528
Median : 0.6511 Median : 0.5302
Mean : 0.7695 Mean : 0.6259
3rd Qu.: 1.8587 3rd Qu.: 2.0755
Max. :13.7195 Max. : 18.2743
UKBB_Monocyte.count_irnt_both UKBB_Eosinophill.count_irnt_both
Min. :-17.4017 Min. :-9.2045
1st Qu.: -0.9571 1st Qu.:-0.8276
Median : 0.3107 Median : 0.3684
Mean : 0.1146 Mean : 0.3035
3rd Qu.: 1.5570 3rd Qu.: 1.4853
Max. : 6.8904 Max. :11.6449
UKBB_Basophill.count_irnt_both UKBB_Mean.reticulocyte.volume_irnt_both
Min. :-4.78292 Min. :-12.3778
1st Qu.:-0.75775 1st Qu.: -1.7593
Median : 0.05358 Median : -0.4256
Mean :-0.01316 Mean : -0.2459
3rd Qu.: 0.79590 3rd Qu.: 0.8440
Max. : 4.60448 Max. : 35.6927
UKBB_High.light.scatter.reticulocyte.count_irnt_both
Min. :-10.3262
1st Qu.: -0.1231
Median : 1.4324
Mean : 1.5276
3rd Qu.: 3.0871
Max. : 33.5552
UKBB_Albumin..quantile._irnt_both
Min. :-22.2720
1st Qu.: -1.1065
Median : 0.5980
Mean : 0.5194
3rd Qu.: 1.9410
Max. : 13.0821
UKBB_Alkaline.phosphatase..quantile._irnt_both
Min. :-102.42449
1st Qu.: -1.08833
Median : 0.28181
Mean : 0.02559
3rd Qu.: 1.79791
Max. : 32.60653
UKBB_Alanine.aminotransferase..quantile._irnt_both
Min. :-5.60888
1st Qu.:-0.02731
Median : 1.50262
Mean : 1.91352
3rd Qu.: 3.31938
Max. :36.65126
UKBB_Apoliprotein.B..quantile._irnt_both
Min. :-62.2517
1st Qu.: -1.2973
Median : -0.2485
Mean : -0.3145
3rd Qu.: 1.0240
Max. : 9.5859
UKBB_Aspartate.aminotransferase..quantile._irnt_both
Min. :-14.4419
1st Qu.: -1.2424
Median : 0.3908
Mean : 0.5634
3rd Qu.: 1.9606
Max. : 36.1778
UKBB_Direct.bilirubin..quantile._irnt_both UKBB_Urea..quantile._irnt_both
Min. :-6.76699 Min. :-11.9129
1st Qu.:-0.87599 1st Qu.: -0.7853
Median :-0.03287 Median : 0.4104
Mean :-0.01376 Mean : 0.3251
3rd Qu.: 0.85249 3rd Qu.: 1.5182
Max. :12.96292 Max. : 7.2983
UKBB_Calcium..quantile._irnt_both UKBB_C.reactive.protein..quantile._irnt_both
Min. :-18.3632 Min. :-35.9112
1st Qu.: -0.7259 1st Qu.: -1.2164
Median : 0.5552 Median : 0.3625
Mean : 0.5275 Mean : 0.4326
3rd Qu.: 1.8539 3rd Qu.: 2.1565
Max. : 9.3335 Max. : 62.7113
UKBB_Gamma.glutamyltransferase..quantile._irnt_both
Min. :-32.1167
1st Qu.: -0.2238
Median : 1.3074
Mean : 1.2105
3rd Qu.: 2.8998
Max. : 11.3009
UKBB_Glucose..quantile._irnt_both UKBB_HDL.cholesterol..quantile._irnt_both
Min. :-8.193 Min. :-45.11552
1st Qu.: 0.992 1st Qu.: -3.47943
Median : 2.388 Median : -1.53624
Mean : 2.997 Mean : -2.31456
3rd Qu.: 4.031 3rd Qu.: 0.01377
Max. :31.513 Max. : 18.22511
UKBB_IGF.1..quantile._irnt_both UKBB_Lipoprotein.A..quantile._irnt_both
Min. :-8.5869 Min. :-3.33277
1st Qu.:-1.3329 1st Qu.:-0.91386
Median : 0.5221 Median :-0.19555
Mean : 0.5547 Mean : 0.09755
3rd Qu.: 2.0404 3rd Qu.: 0.61855
Max. :24.6888 Max. :85.39116
UKBB_Phosphate..quantile._irnt_both UKBB_SHBG..quantile._irnt_both
Min. :-8.51235 Min. :-90.5859
1st Qu.:-1.13720 1st Qu.: -4.4009
Median :-0.00023 Median : -2.2519
Mean : 0.17706 Mean : -2.7702
3rd Qu.: 1.20004 3rd Qu.: -0.8199
Max. :32.00750 Max. : 28.2952
UKBB_Total.bilirubin..quantile._irnt_both
Min. :-8.5200
1st Qu.:-1.2574
Median :-0.2294
Mean :-0.3209
3rd Qu.: 0.7218
Max. : 9.4678
UKBB_Testosterone..quantile._irnt_female
Min. :-6.2869
1st Qu.:-1.0626
Median : 0.0296
Mean :-0.0496
3rd Qu.: 0.9504
Max. : 8.3395
UKBB_Total.protein..quantile._irnt_both
Min. :-16.4540
1st Qu.: -0.9606
Median : 0.4092
Mean : 0.3411
3rd Qu.: 1.6455
Max. : 10.1773
UKBB_Triglycerides..quantile._irnt_both UKBB_Urate..quantile._irnt_both
Min. :-42.23156 Min. :-22.2579
1st Qu.: 0.08495 1st Qu.: -0.6106
Median : 1.56697 Median : 0.9630
Mean : 2.04582 Mean : 1.0268
3rd Qu.: 3.99707 3rd Qu.: 2.6742
Max. : 50.45309 Max. : 12.5405
UKBB_Vitamin.D..quantile._irnt_both
Min. :-6.2730
1st Qu.:-1.5909
Median :-0.5612
Mean :-0.5202
3rd Qu.: 0.4173
Max. : 8.1506
UKBB_Diastolic.blood.pressure..automated.reading_irnt_both
Min. :-6.1009
1st Qu.:-0.8588
Median : 0.3509
Mean : 0.4356
3rd Qu.: 1.8728
Max. : 5.6658
UKBB_Systolic.blood.pressure..automated.reading_irnt_both
Min. :-5.2925
1st Qu.:-0.2404
Median : 0.9313
Mean : 0.9694
3rd Qu.: 2.0875
Max. : 7.4847
# Select strong signals
signals = apply(dat, 1, function(x) sum(abs(x) >= 1.96, na.rm = TRUE) != 0)
# Remove NAs
nas = apply(dat, 1, function(x) sum(is.na(x)) == 0)
dat2 = dat[nas, ]
R = ncol(dat2)
K = 20
V = diag(R) # Use identity matrix for now
set.seed(999)
U.init = c()
for (k in 1:K){
U.init[[k]] <- udr:::sim_unconstrained(R)
}
X = as.matrix(dat2)
f0 = ud_init(X = X, V = V, U_scaled = NULL, U_unconstrained = U.init)
set.seed(1)
fit1 = ud_fit(f0, control = list(unconstrained.update = "ted", rank1.update = "ted", resid.update = 'none', scaled.update = "fa", maxiter=1e3, tol = 1e-02, tol.lik = 1e-2, n0 = 0,
lambda = R), verbose=TRUE)
control$scaled.update is ignored when no scaled covariances are included in U
Performing Ultimate Deconvolution on 305 x 64 matrix (udr 0.3-140, "R"):
data points are i.i.d. (same V)
prior covariances: 0 scaled, 4 rank-1, 20 unconstrained
prior covariance updates: scaled (none), rank-1 (ted), unconstrained (ted)
mixture weights update: em
residual covariance update: none
max 1000 updates, tol=1.0e-02, tol.lik=1.0e-02
iter log-likelihood |w - w'| |U - U'| |V - V'|
1 -4.1778734067387224e+04 1.02e-01 1.05e+02 0.00e+00
2 -4.0097929195367360e+04 1.00e-01 2.38e+01 0.00e+00
3 -3.9650548119978972e+04 9.23e-03 7.31e+00 0.00e+00
4 -3.9436399991444137e+04 5.87e-03 2.35e+00 0.00e+00
5 -3.9319671088311617e+04 5.15e-03 1.32e+00 0.00e+00
6 -3.9225966249799269e+04 4.95e-03 1.71e+00 0.00e+00
7 -3.9168599634440987e+04 6.21e-03 4.65e+00 0.00e+00
8 -3.9141252687644723e+04 6.19e-03 2.95e+00 0.00e+00
9 -3.9110363554430682e+04 5.91e-03 2.15e+00 0.00e+00
10 -3.9099434787462196e+04 5.01e-03 1.41e+00 0.00e+00
11 -3.9073233712234512e+04 6.10e-03 1.23e+00 0.00e+00
12 -3.9021295382383149e+04 8.59e-03 1.69e+00 0.00e+00
13 -3.8997402612334037e+04 1.06e-02 2.89e+00 0.00e+00
14 -3.8968839870865981e+04 1.02e-02 2.15e+00 0.00e+00
15 -3.8928392166238060e+04 1.26e-02 1.07e+00 0.00e+00
16 -3.8894097402311178e+04 1.07e-02 1.07e+00 0.00e+00
17 -3.8840403658758070e+04 1.05e-02 1.03e+00 0.00e+00
18 -3.8802554338952163e+04 1.08e-02 1.01e+00 0.00e+00
19 -3.8733749360556962e+04 1.30e-02 1.22e+00 0.00e+00
20 -3.8663415318312036e+04 2.32e-02 1.03e+00 0.00e+00
21 -3.8623502786072750e+04 1.60e-02 9.55e-01 0.00e+00
22 -3.8590804570378175e+04 1.01e-02 9.42e-01 0.00e+00
23 -3.8557701327752344e+04 1.11e-02 9.71e-01 0.00e+00
24 -3.8536473589981557e+04 8.41e-03 9.18e-01 0.00e+00
25 -3.8503138309166519e+04 1.03e-02 9.26e-01 0.00e+00
26 -3.8453594678200003e+04 1.57e-02 1.39e+00 0.00e+00
27 -3.8410236331832406e+04 1.22e-02 1.57e+00 0.00e+00
28 -3.8375246079166420e+04 1.05e-02 9.99e-01 0.00e+00
29 -3.8349628900093827e+04 8.58e-03 9.85e-01 0.00e+00
30 -3.8317443475869019e+04 8.72e-03 9.80e-01 0.00e+00
31 -3.8301454543905966e+04 6.42e-03 9.74e-01 0.00e+00
32 -3.8287893103411290e+04 4.79e-03 9.69e-01 0.00e+00
33 -3.8251799318154888e+04 9.47e-03 9.64e-01 0.00e+00
34 -3.8224335041230632e+04 6.68e-03 1.42e+00 0.00e+00
35 -3.8209130520324448e+04 3.18e-03 9.53e-01 0.00e+00
36 -3.8164098426803852e+04 2.88e-03 9.47e-01 0.00e+00
37 -3.8144488444736264e+04 4.72e-03 9.42e-01 0.00e+00
38 -3.8144344114151128e+04 1.03e-03 9.36e-01 0.00e+00
39 -3.8145369174200059e+04 7.06e-04 9.31e-01 0.00e+00
40 -3.8140930576961939e+04 1.49e-03 9.25e-01 0.00e+00
41 -3.8138894293064805e+04 1.35e-03 9.20e-01 0.00e+00
42 -3.8140728444568107e+04 1.02e-03 9.14e-01 0.00e+00
43 -3.8136507001351958e+04 8.94e-04 9.09e-01 0.00e+00
44 -3.8125582730284084e+04 2.31e-03 1.77e+00 0.00e+00
45 -3.8121084511540648e+04 2.21e-03 8.98e-01 0.00e+00
46 -3.8120777636047387e+04 1.72e-03 8.92e-01 0.00e+00
47 -3.8117420453410603e+04 3.15e-03 8.87e-01 0.00e+00
48 -3.8109349682450586e+04 4.27e-03 1.31e+00 0.00e+00
49 -3.8095985214654458e+04 7.37e-03 8.76e-01 0.00e+00
50 -3.8079638680715339e+04 1.05e-02 8.71e-01 0.00e+00
51 -3.8075204713866646e+04 6.52e-03 8.65e-01 0.00e+00
52 -3.8073698601328164e+04 4.02e-03 8.60e-01 0.00e+00
53 -3.8074143456152888e+04 3.05e-03 8.55e-01 0.00e+00
54 -3.8074917378445192e+04 1.64e-03 8.49e-01 0.00e+00
55 -3.8075462784545038e+04 2.08e-03 8.44e-01 0.00e+00
56 -3.8073568288534923e+04 2.71e-03 8.38e-01 0.00e+00
57 -3.8071949173233188e+04 3.20e-03 8.33e-01 0.00e+00
58 -3.8072568325897388e+04 9.67e-04 8.28e-01 0.00e+00
59 -3.8033533007565653e+04 5.67e-03 1.59e+00 0.00e+00
60 -3.8015690616892483e+04 4.46e-03 8.18e-01 0.00e+00
61 -3.8016543161115806e+04 2.19e-03 8.12e-01 0.00e+00
62 -3.8012646180917996e+04 1.01e-03 1.47e+00 0.00e+00
63 -3.7994621379450335e+04 2.86e-03 8.77e+00 0.00e+00
64 -3.7998135233741217e+04 7.29e-04 7.96e-01 0.00e+00
65 -3.7998078888669246e+04 1.50e-03 7.91e-01 0.00e+00
66 -3.7973003502925647e+04 4.50e-03 7.86e-01 0.00e+00
67 -3.7961545452007806e+04 2.88e-03 7.81e-01 0.00e+00
68 -3.7944200324782279e+04 3.14e-03 1.01e+00 0.00e+00
69 -3.7945601602748487e+04 1.28e-03 7.70e-01 0.00e+00
70 -3.7940623157844624e+04 1.38e-03 1.33e+00 0.00e+00
71 -3.7907867019582838e+04 2.68e-03 1.45e+01 0.00e+00
72 -3.7905618468750050e+04 3.19e-03 7.55e-01 0.00e+00
73 -3.7904399453861079e+04 2.58e-03 7.50e-01 0.00e+00
74 -3.7905924964348640e+04 5.97e-04 7.45e-01 0.00e+00
75 -3.7899278733811509e+04 1.77e-03 1.88e+00 0.00e+00
76 -3.7898492426417106e+04 1.22e-03 1.11e+00 0.00e+00
77 -3.7900388437002301e+04 6.39e-05 7.30e-01 0.00e+00
78 -3.7902177901215910e+04 4.70e-05 7.25e-01 0.00e+00
79 -3.7903889710998046e+04 3.97e-05 7.20e-01 0.00e+00
80 -3.7905546315877182e+04 3.67e-05 7.15e-01 0.00e+00
81 -3.7907162331794716e+04 3.61e-05 7.10e-01 0.00e+00
82 -3.7908748049638845e+04 3.71e-05 7.05e-01 0.00e+00
83 -3.7910311971126372e+04 3.97e-05 7.01e-01 0.00e+00
84 -3.7911863790889511e+04 4.42e-05 6.96e-01 0.00e+00
85 -3.7913409971379340e+04 5.13e-05 6.91e-01 0.00e+00
86 -3.7914998570497613e+04 6.28e-05 6.86e-01 0.00e+00
87 -3.7916681703436931e+04 1.21e-04 6.81e-01 0.00e+00
88 -3.7917844950361636e+04 4.19e-04 6.77e-01 0.00e+00
89 -3.7914001360231858e+04 2.10e-03 6.72e-01 0.00e+00
90 -3.7914723848528280e+04 3.96e-04 6.67e-01 0.00e+00
91 -3.7915322689265449e+04 9.09e-04 6.62e-01 0.00e+00
92 -3.7915160342363131e+04 1.51e-03 6.58e-01 0.00e+00
93 -3.7916019271669793e+04 7.98e-04 6.53e-01 0.00e+00
94 -3.7913626112449361e+04 1.34e-03 6.49e-01 0.00e+00
95 -3.7904720407033557e+04 3.13e-03 6.71e-01 0.00e+00
96 -3.7898509246476067e+04 2.95e-03 6.94e-01 0.00e+00
97 -3.7900206510970682e+04 9.10e-04 6.35e-01 0.00e+00
98 -3.7901592994450817e+04 7.02e-04 6.30e-01 0.00e+00
99 -3.7898119954362810e+04 1.17e-03 6.26e-01 0.00e+00
100 -3.7891927250171742e+04 1.94e-03 6.21e-01 0.00e+00
101 -3.7893697294936814e+04 2.20e-04 6.17e-01 0.00e+00
102 -3.7895442036892273e+04 7.99e-05 6.12e-01 0.00e+00
103 -3.7897022512740659e+04 6.33e-05 6.08e-01 0.00e+00
104 -3.7898490486636270e+04 5.37e-05 6.03e-01 0.00e+00
105 -3.7899879758258277e+04 4.70e-05 5.99e-01 0.00e+00
106 -3.7901211947197931e+04 4.19e-05 5.95e-01 0.00e+00
107 -3.7902499853484369e+04 3.80e-05 5.90e-01 0.00e+00
108 -3.7903753254512412e+04 3.49e-05 5.86e-01 0.00e+00
109 -3.7904977034314186e+04 3.23e-05 5.82e-01 0.00e+00
110 -3.7906175538135059e+04 3.02e-05 5.78e-01 0.00e+00
111 -3.7907351788855864e+04 2.85e-05 5.73e-01 0.00e+00
112 -3.7908508591187216e+04 2.71e-05 5.69e-01 0.00e+00
113 -3.7909648830143095e+04 2.62e-05 5.65e-01 0.00e+00
114 -3.7910776057942523e+04 3.41e-05 5.61e-01 0.00e+00
115 -3.7911895672893384e+04 4.75e-05 5.57e-01 0.00e+00
116 -3.7913016286661616e+04 7.30e-05 5.52e-01 0.00e+00
117 -3.7914148007302923e+04 1.31e-04 5.48e-01 0.00e+00
118 -3.7915216191648018e+04 2.96e-04 5.44e-01 0.00e+00
119 -3.7915191359591787e+04 9.08e-04 5.40e-01 0.00e+00
120 -3.7914789947524907e+04 1.44e-03 5.36e-01 0.00e+00
121 -3.7915792818974951e+04 8.28e-05 5.32e-01 0.00e+00
122 -3.7916823748185045e+04 5.39e-05 5.28e-01 0.00e+00
123 -3.7917849034229737e+04 7.51e-05 5.24e-01 0.00e+00
124 -3.7918865919504438e+04 1.09e-04 5.20e-01 0.00e+00
125 -3.7919862768419160e+04 1.76e-04 5.16e-01 0.00e+00
126 -3.7920773252345985e+04 3.22e-04 5.12e-01 0.00e+00
127 -3.7921309477998104e+04 6.56e-04 5.08e-01 0.00e+00
128 -3.7921484106151322e+04 1.02e-03 5.05e-01 0.00e+00
129 -3.7922432913697630e+04 4.75e-04 5.01e-01 0.00e+00
130 -3.7923594553802861e+04 2.38e-04 4.97e-01 0.00e+00
131 -3.7919004716625677e+04 1.53e-03 4.93e-01 0.00e+00
132 -3.7916876155878897e+04 1.27e-03 4.89e-01 0.00e+00
133 -3.7917959858174858e+04 5.43e-05 4.86e-01 0.00e+00
134 -3.7918895894331035e+04 3.66e-05 4.82e-01 0.00e+00
135 -3.7919745975859405e+04 2.56e-05 4.78e-01 0.00e+00
136 -3.7920543360815049e+04 1.80e-05 4.74e-01 0.00e+00
137 -3.7921306487863541e+04 1.27e-05 4.71e-01 0.00e+00
138 -3.7922045690675848e+04 9.05e-06 4.67e-01 0.00e+00
139 -3.7922766674231338e+04 6.45e-06 4.64e-01 0.00e+00
140 -3.7923472876291737e+04 4.62e-06 4.60e-01 0.00e+00
141 -3.7924166167769210e+04 3.31e-06 4.56e-01 0.00e+00
142 -3.7924847606779978e+04 2.48e-06 4.53e-01 0.00e+00
143 -3.7925517982078549e+04 2.59e-06 4.49e-01 0.00e+00
144 -3.7926177607588885e+04 2.67e-06 4.46e-01 0.00e+00
145 -3.7926826851697173e+04 2.74e-06 4.42e-01 0.00e+00
146 -3.7927466001688255e+04 2.79e-06 4.39e-01 0.00e+00
147 -3.7928095230872779e+04 2.83e-06 4.35e-01 0.00e+00
148 -3.7928714780008173e+04 2.88e-06 4.32e-01 0.00e+00
149 -3.7929324738073643e+04 2.92e-06 4.29e-01 0.00e+00
150 -3.7929925385273753e+04 2.97e-06 4.25e-01 0.00e+00
151 -3.7930516854642279e+04 3.01e-06 4.22e-01 0.00e+00
152 -3.7931099298534544e+04 3.07e-06 4.19e-01 0.00e+00
153 -3.7931672981370197e+04 3.12e-06 4.15e-01 0.00e+00
154 -3.7932237998225908e+04 3.18e-06 4.12e-01 0.00e+00
155 -3.7932794537150578e+04 3.25e-06 4.09e-01 0.00e+00
156 -3.7933342793095704e+04 3.32e-06 4.05e-01 0.00e+00
157 -3.7933882948115810e+04 3.40e-06 4.02e-01 0.00e+00
158 -3.7934415169631007e+04 3.49e-06 3.99e-01 0.00e+00
159 -3.7934939570907460e+04 3.58e-06 3.96e-01 0.00e+00
160 -3.7935456322246791e+04 3.69e-06 3.93e-01 0.00e+00
161 -3.7935965745595269e+04 3.80e-06 3.90e-01 0.00e+00
162 -3.7936468021096749e+04 3.93e-06 3.86e-01 0.00e+00
163 -3.7936962887589390e+04 4.08e-06 3.83e-01 0.00e+00
164 -3.7937450877537682e+04 4.24e-06 3.80e-01 0.00e+00
165 -3.7937932104517873e+04 4.43e-06 3.77e-01 0.00e+00
166 -3.7938406916298256e+04 4.64e-06 3.74e-01 0.00e+00
167 -3.7938875195727211e+04 4.87e-06 3.71e-01 0.00e+00
168 -3.7939337249501092e+04 5.14e-06 3.68e-01 0.00e+00
169 -3.7939793261434141e+04 5.45e-06 3.65e-01 0.00e+00
170 -3.7940243432331568e+04 5.82e-06 3.62e-01 0.00e+00
171 -3.7940688009484242e+04 6.25e-06 3.59e-01 0.00e+00
172 -3.7941127289729578e+04 6.76e-06 3.56e-01 0.00e+00
173 -3.7941561546512123e+04 7.37e-06 3.54e-01 0.00e+00
174 -3.7941991104034954e+04 8.13e-06 3.51e-01 0.00e+00
175 -3.7942416510021139e+04 9.09e-06 3.48e-01 0.00e+00
176 -3.7942838273789872e+04 1.03e-05 3.45e-01 0.00e+00
177 -3.7943257171507248e+04 1.19e-05 3.42e-01 0.00e+00
178 -3.7943674430665887e+04 1.42e-05 3.39e-01 0.00e+00
179 -3.7944091773508640e+04 1.74e-05 3.37e-01 0.00e+00
180 -3.7944512077495339e+04 2.24e-05 3.34e-01 0.00e+00
181 -3.7944940759071396e+04 3.06e-05 3.31e-01 0.00e+00
182 -3.7945388565692090e+04 4.58e-05 3.28e-01 0.00e+00
183 -3.7945879261299640e+04 7.93e-05 3.26e-01 0.00e+00
184 -3.7946445574764919e+04 1.76e-04 3.23e-01 0.00e+00
185 -3.7945507383360913e+04 6.42e-04 3.21e-01 0.00e+00
186 -3.7929245136019206e+04 3.67e-03 5.07e-01 0.00e+00
187 -3.7923742709258368e+04 1.77e-03 4.03e-01 0.00e+00
188 -3.7924499470328527e+04 7.93e-06 3.13e-01 0.00e+00
189 -3.7925075527603534e+04 1.49e-05 3.10e-01 0.00e+00
190 -3.7925545358462536e+04 1.09e-05 3.08e-01 0.00e+00
191 -3.7925953199654272e+04 7.16e-06 3.05e-01 0.00e+00
192 -3.7926324208861632e+04 4.61e-06 3.02e-01 0.00e+00
193 -3.7926669930683187e+04 2.98e-06 3.00e-01 0.00e+00
194 -3.7927004546577009e+04 1.95e-06 2.98e-01 0.00e+00
195 -3.7927328961722575e+04 1.30e-06 2.95e-01 0.00e+00
196 -3.7927645867108520e+04 8.74e-07 2.93e-01 0.00e+00
197 -3.7927957079451895e+04 5.96e-07 2.90e-01 0.00e+00
198 -3.7928263383761303e+04 5.11e-07 2.88e-01 0.00e+00
199 -3.7928565348754775e+04 4.81e-07 2.85e-01 0.00e+00
200 -3.7928863354439200e+04 4.57e-07 2.83e-01 0.00e+00
201 -3.7929157523014008e+04 4.37e-07 2.81e-01 0.00e+00
202 -3.7929448048557351e+04 4.18e-07 2.78e-01 0.00e+00
203 -3.7929734939713941e+04 4.01e-07 2.76e-01 0.00e+00
204 -3.7930018332265812e+04 3.85e-07 2.74e-01 0.00e+00
205 -3.7930298274300178e+04 3.70e-07 2.71e-01 0.00e+00
206 -3.7930574788606871e+04 3.55e-07 2.69e-01 0.00e+00
207 -3.7930847957783903e+04 3.41e-07 2.67e-01 0.00e+00
208 -3.7931117846464127e+04 3.28e-07 2.65e-01 0.00e+00
209 -3.7931384454654697e+04 3.15e-07 2.62e-01 0.00e+00
210 -3.7931647822812767e+04 3.03e-07 2.60e-01 0.00e+00
211 -3.7931908030634353e+04 2.91e-07 2.58e-01 0.00e+00
212 -3.7932165085626948e+04 2.79e-07 2.56e-01 0.00e+00
213 -3.7932419051207755e+04 2.68e-07 2.54e-01 0.00e+00
214 -3.7932669960083156e+04 2.58e-07 2.52e-01 0.00e+00
215 -3.7932917868787255e+04 2.48e-07 2.49e-01 0.00e+00
216 -3.7933162792404153e+04 2.38e-07 2.47e-01 0.00e+00
217 -3.7933404783518105e+04 2.28e-07 2.45e-01 0.00e+00
218 -3.7933643886884580e+04 2.19e-07 2.43e-01 0.00e+00
219 -3.7933880169015843e+04 2.10e-07 2.41e-01 0.00e+00
220 -3.7934113593722926e+04 2.02e-07 2.39e-01 0.00e+00
221 -3.7934344220641222e+04 1.94e-07 2.37e-01 0.00e+00
222 -3.7934572126871150e+04 1.86e-07 2.35e-01 0.00e+00
223 -3.7934797332240072e+04 1.78e-07 2.33e-01 0.00e+00
224 -3.7935019891291515e+04 1.71e-07 2.31e-01 0.00e+00
225 -3.7935239790955704e+04 1.64e-07 2.29e-01 0.00e+00
226 -3.7935457089833937e+04 1.61e-07 2.27e-01 0.00e+00
227 -3.7935671830389547e+04 1.61e-07 2.25e-01 0.00e+00
228 -3.7935884037339150e+04 1.60e-07 2.23e-01 0.00e+00
229 -3.7936093740909833e+04 1.60e-07 2.21e-01 0.00e+00
230 -3.7936300989549643e+04 1.59e-07 2.20e-01 0.00e+00
231 -3.7936505794130266e+04 1.58e-07 2.18e-01 0.00e+00
232 -3.7936708186058015e+04 1.58e-07 2.16e-01 0.00e+00
233 -3.7936908212856906e+04 1.57e-07 2.14e-01 0.00e+00
234 -3.7937105977657171e+04 1.56e-07 2.12e-01 0.00e+00
235 -3.7937301375262308e+04 1.55e-07 2.10e-01 0.00e+00
236 -3.7937494492376325e+04 1.55e-07 2.09e-01 0.00e+00
237 -3.7937685388269718e+04 1.54e-07 2.07e-01 0.00e+00
238 -3.7937874037576905e+04 1.53e-07 2.05e-01 0.00e+00
239 -3.7938060508345232e+04 1.52e-07 2.03e-01 0.00e+00
240 -3.7938244807055133e+04 1.51e-07 2.02e-01 0.00e+00
241 -3.7938426987491577e+04 1.50e-07 2.00e-01 0.00e+00
242 -3.7938607032778345e+04 1.50e-07 1.98e-01 0.00e+00
243 -3.7938785028593717e+04 1.49e-07 1.96e-01 0.00e+00
244 -3.7938960956954827e+04 1.48e-07 1.95e-01 0.00e+00
245 -3.7939134835495475e+04 1.47e-07 1.93e-01 0.00e+00
246 -3.7939306746730173e+04 1.46e-07 1.91e-01 0.00e+00
247 -3.7939476664127003e+04 1.45e-07 1.90e-01 0.00e+00
248 -3.7939644652761956e+04 1.44e-07 1.88e-01 0.00e+00
249 -3.7939810719785295e+04 1.43e-07 1.86e-01 0.00e+00
250 -3.7939974878051617e+04 1.42e-07 1.85e-01 0.00e+00
251 -3.7940137162534025e+04 1.41e-07 1.83e-01 0.00e+00
252 -3.7940297592150579e+04 1.40e-07 1.82e-01 0.00e+00
253 -3.7940456198354077e+04 1.39e-07 1.80e-01 0.00e+00
254 -3.7940612990595822e+04 1.38e-07 1.79e-01 0.00e+00
255 -3.7940767996808390e+04 1.37e-07 1.77e-01 0.00e+00
256 -3.7940921249672989e+04 1.35e-07 1.76e-01 0.00e+00
257 -3.7941072764934223e+04 1.34e-07 1.74e-01 0.00e+00
258 -3.7941222560846356e+04 1.33e-07 1.73e-01 0.00e+00
259 -3.7941370660952911e+04 1.32e-07 1.71e-01 0.00e+00
260 -3.7941517091744419e+04 1.31e-07 1.70e-01 0.00e+00
261 -3.7941661869952521e+04 1.30e-07 1.68e-01 0.00e+00
262 -3.7941805026722999e+04 1.29e-07 1.67e-01 0.00e+00
263 -3.7941946550895569e+04 1.28e-07 1.65e-01 0.00e+00
264 -3.7942084070594909e+04 1.27e-07 1.64e-01 0.00e+00
265 -3.7942224029886107e+04 1.26e-07 1.62e-01 0.00e+00
266 -3.7942360848342898e+04 1.24e-07 1.61e-01 0.00e+00
267 -3.7942496143707060e+04 1.23e-07 1.60e-01 0.00e+00
268 -3.7942629928216331e+04 1.22e-07 1.58e-01 0.00e+00
269 -3.7942762217379277e+04 1.21e-07 1.57e-01 0.00e+00
270 -3.7942893037901747e+04 1.20e-07 1.55e-01 0.00e+00
271 -3.7943022400602531e+04 1.19e-07 1.54e-01 0.00e+00
272 -3.7943150313255595e+04 1.18e-07 1.53e-01 0.00e+00
273 -3.7943276808505114e+04 1.17e-07 1.51e-01 0.00e+00
274 -3.7943401883065344e+04 1.15e-07 1.50e-01 0.00e+00
275 -3.7943525582645707e+04 1.14e-07 1.49e-01 0.00e+00
276 -3.7943648051042335e+04 1.13e-07 1.47e-01 0.00e+00
277 -3.7943769025268768e+04 1.12e-07 1.46e-01 0.00e+00
278 -3.7943888640826466e+04 1.11e-07 1.45e-01 0.00e+00
279 -3.7944006917173741e+04 1.10e-07 1.44e-01 0.00e+00
280 -3.7944123868694034e+04 1.09e-07 1.42e-01 0.00e+00
281 -3.7944239498475137e+04 1.08e-07 1.41e-01 0.00e+00
282 -3.7944354034019496e+04 1.07e-07 1.40e-01 0.00e+00
283 -3.7944467235120050e+04 1.05e-07 1.39e-01 0.00e+00
284 -3.7944579194356855e+04 1.04e-07 1.37e-01 0.00e+00
285 -3.7944689907153224e+04 1.03e-07 1.36e-01 0.00e+00
286 -3.7944799415285837e+04 1.02e-07 1.35e-01 0.00e+00
287 -3.7944907725775753e+04 1.01e-07 1.34e-01 0.00e+00
288 -3.7945014857246162e+04 9.99e-08 1.33e-01 0.00e+00
289 -3.7945120812850386e+04 9.88e-08 1.32e-01 0.00e+00
290 -3.7945225613695111e+04 9.77e-08 1.30e-01 0.00e+00
291 -3.7945329272849325e+04 9.67e-08 1.29e-01 0.00e+00
292 -3.7945431774096323e+04 9.56e-08 1.28e-01 0.00e+00
293 -3.7945533188433059e+04 9.45e-08 1.27e-01 0.00e+00
294 -3.7945633502470999e+04 9.35e-08 1.26e-01 0.00e+00
295 -3.7945732702341338e+04 9.24e-08 1.25e-01 0.00e+00
296 -3.7945830845210650e+04 9.14e-08 1.24e-01 0.00e+00
297 -3.7945927919075351e+04 9.03e-08 1.23e-01 0.00e+00
298 -3.7946023944461216e+04 8.93e-08 1.22e-01 0.00e+00
299 -3.7946118937044957e+04 8.83e-08 1.20e-01 0.00e+00
300 -3.7946212901902116e+04 8.73e-08 1.19e-01 0.00e+00
301 -3.7946305863633082e+04 8.62e-08 1.18e-01 0.00e+00
302 -3.7946397816269055e+04 8.52e-08 1.17e-01 0.00e+00
303 -3.7946488761930334e+04 8.42e-08 1.16e-01 0.00e+00
304 -3.7946578752401023e+04 8.32e-08 1.15e-01 0.00e+00
305 -3.7946667775270427e+04 8.22e-08 1.14e-01 0.00e+00
306 -3.7946755837619588e+04 8.13e-08 1.13e-01 0.00e+00
307 -3.7946842982856127e+04 8.01e-08 1.12e-01 0.00e+00
308 -3.7946929169392730e+04 7.95e-08 1.11e-01 0.00e+00
309 -3.7947014439760918e+04 7.84e-08 1.10e-01 0.00e+00
310 -3.7947098801700580e+04 7.74e-08 1.09e-01 0.00e+00
311 -3.7947182261426104e+04 7.65e-08 1.08e-01 0.00e+00
312 -3.7947264833042165e+04 7.55e-08 1.07e-01 0.00e+00
313 -3.7947346526456320e+04 7.46e-08 1.06e-01 0.00e+00
314 -3.7947427347257522e+04 7.37e-08 1.05e-01 0.00e+00
315 -3.7947507311017260e+04 7.28e-08 1.05e-01 0.00e+00
316 -3.7947586425956171e+04 7.19e-08 1.04e-01 0.00e+00
317 -3.7947664701895017e+04 7.10e-08 1.03e-01 0.00e+00
318 -3.7947742148554884e+04 7.01e-08 1.02e-01 0.00e+00
319 -3.7947818775523381e+04 6.92e-08 1.01e-01 0.00e+00
320 -3.7947894592263467e+04 6.84e-08 1.00e-01 0.00e+00
321 -3.7947969608114989e+04 6.75e-08 9.91e-02 0.00e+00
322 -3.7948043832295931e+04 6.66e-08 9.83e-02 0.00e+00
323 -3.7948117273903626e+04 6.58e-08 9.74e-02 0.00e+00
324 -3.7948189941915756e+04 6.50e-08 9.65e-02 0.00e+00
325 -3.7948261845191235e+04 6.41e-08 9.57e-02 0.00e+00
326 -3.7948332992470911e+04 6.33e-08 9.48e-02 0.00e+00
327 -3.7948403392378226e+04 6.25e-08 9.40e-02 0.00e+00
328 -3.7948473057886222e+04 6.17e-08 9.31e-02 0.00e+00
329 -3.7948541984601288e+04 6.09e-08 9.23e-02 0.00e+00
330 -3.7948610181295153e+04 6.01e-08 9.15e-02 0.00e+00
331 -3.7948677674539256e+04 5.92e-08 9.07e-02 0.00e+00
plot_sharing = function(X, to_cor=FALSE, title="", remove_names=F) {
clrs <- colorRampPalette(rev(c("#D73027","#FC8D59","#FEE090","#FFFFBF",
"#E0F3F8","#91BFDB","#4575B4")))(128)
if (to_cor) lat <- cov2cor(X)
else lat = X/max(diag(X))
lat[lower.tri(lat)] <- NA
n <- nrow(lat)
if (remove_names) {
colnames(lat) = NULL
rownames(lat) = NULL
}
return(lattice::levelplot(lat[n:1,],col.regions = clrs,
xlab = "",ylab = "", main=title,
colorkey = TRUE,at = seq(-1,1,length.out = 128),
scales = list(cex = 0.2,x = list(rot = 45))))
}
# Plot sharing patterns with w > 0.01
tol = 1e-2
U <- lapply(fit1$U,function (e) "[["(e,"mat"))
n_component = sum(fit1$w > tol)
w = order(fit1$w, decreasing = TRUE)
indx = w[1:n_component]
plts = list()
for (i in 1:length(indx)){
title = paste(names(U)[indx[i]], "w =", round(fit1$w[indx[i]], 6))
plts[[i]] = plot_sharing(U[[indx[i]]], to_cor = TRUE, title = title)
}
unit = 4
n_col = 3
n_row = ceiling(n_component / n_col)
pdf('t2d_patterns.pdf', width = unit * n_col, height = unit * n_row)
do.call("grid.arrange", c(plts, list(ncol = n_col, nrow = n_row)))
dev.off()
quartz_off_screen
2
sessionInfo()
R version 4.1.1 (2021-08-10)
Platform: x86_64-apple-darwin20.6.0 (64-bit)
Running under: macOS Monterey 12.0.1
Matrix products: default
BLAS: /usr/local/Cellar/openblas/0.3.18/lib/libopenblasp-r0.3.18.dylib
LAPACK: /usr/local/Cellar/r/4.1.1_1/lib/R/lib/libRlapack.dylib
locale:
[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
attached base packages:
[1] stats graphics grDevices utils datasets methods base
other attached packages:
[1] gridExtra_2.3 udr_0.3-141 readxl_1.4.1 workflowr_1.6.2
loaded via a namespace (and not attached):
[1] Rcpp_1.0.8.3 pillar_1.6.4 compiler_4.1.1 cellranger_1.1.0
[5] later_1.3.0 jquerylib_0.1.4 git2r_0.28.0 tools_4.1.1
[9] digest_0.6.28 lattice_0.20-44 gtable_0.3.0 evaluate_0.14
[13] lifecycle_1.0.1 tibble_3.1.5 pkgconfig_2.0.3 rlang_0.4.12
[17] yaml_2.2.1 mvtnorm_1.1-3 xfun_0.27 fastmap_1.1.0
[21] stringr_1.4.0 knitr_1.36 fs_1.5.0 vctrs_0.3.8
[25] rprojroot_2.0.2 grid_4.1.1 glue_1.4.2 R6_2.5.1
[29] fansi_0.5.0 rmarkdown_2.11 magrittr_2.0.1 whisker_0.4
[33] promises_1.2.0.1 ellipsis_0.3.2 htmltools_0.5.2 httpuv_1.6.3
[37] utf8_1.2.2 stringi_1.7.5 crayon_1.4.1