Last updated: 2022-01-05

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Knit directory: single-cell-topics/analysis/

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Here we evaluate performance of the grade-of-membership DE methods in simulations, focussing on the case of \(K = 2\) topics. A smaller simulation with \(K = 2\) topics was first performed here, and based on this initial simulation we have conducted a larger set of simulations using the run_sims.R script. Here we summarize the results of this larger set of simulations.

Load the packages needed for this analysis, and some additional functions used to compile the results and generate the plots.

library(Matrix)
library(fastTopics)
library(ggplot2)
library(cowplot)
source("../code/de_analysis_functions.R")

Load the results of the simulations.

load("../output/sims/sims-k=2.RData")

These were the R packages used to run the simulations:

res$session.info
# R version 4.1.0 (2021-05-18)
# Platform: x86_64-pc-linux-gnu (64-bit)
# Running under: Scientific Linux 7.4 (Nitrogen)
# 
# Matrix products: default
# BLAS/LAPACK: /software/openblas-0.3.13-el7-x86_64/lib/libopenblas_haswellp-r0.3.13.so
# 
# locale:
#  [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
#  [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
#  [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
#  [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
#  [9] LC_ADDRESS=C               LC_TELEPHONE=C            
# [11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       
# 
# attached base packages:
# [1] stats4    tools     stats     graphics  grDevices utils     datasets 
# [8] methods   base     
# 
# other attached packages:
#  [1] fastTopics_0.6-97           MAST_1.20.0                
#  [3] SeuratObject_4.0.2          Seurat_4.0.3               
#  [5] DESeq2_1.34.0               scran_1.22.1               
#  [7] scuttle_1.4.0               SingleCellExperiment_1.16.0
#  [9] SummarizedExperiment_1.24.0 Biobase_2.54.0             
# [11] GenomicRanges_1.46.0        GenomeInfoDb_1.30.0        
# [13] IRanges_2.28.0              S4Vectors_0.32.0           
# [15] BiocGenerics_0.40.0         MatrixGenerics_1.6.0       
# [17] matrixStats_0.60.1          Matrix_1.3-3               
# 
# loaded via a namespace (and not attached):
#   [1] utf8_1.2.1                reticulate_1.20          
#   [3] tidyselect_1.1.1          RSQLite_2.2.8            
#   [5] AnnotationDbi_1.56.1      htmlwidgets_1.5.3        
#   [7] grid_4.1.0                BiocParallel_1.28.0      
#   [9] Rtsne_0.15                munsell_0.5.0            
#  [11] ScaledMatrix_1.2.0        codetools_0.2-18         
#  [13] ica_1.0-2                 statmod_1.4.36           
#  [15] future_1.21.0             miniUI_0.1.1.1           
#  [17] colorspace_2.0-2          rstudioapi_0.13          
#  [19] ROCR_1.0-11               tensor_1.5               
#  [21] listenv_0.8.0             GenomeInfoDbData_1.2.7   
#  [23] mixsqp_0.3-43             polyclip_1.10-0          
#  [25] MCMCpack_1.6-0            bit64_4.0.5              
#  [27] coda_0.19-4               parallelly_1.26.1        
#  [29] vctrs_0.3.8               generics_0.1.0           
#  [31] R6_2.5.0                  rsvd_1.0.5               
#  [33] invgamma_1.1              locfit_1.5-9.4           
#  [35] bitops_1.0-7              spatstat.utils_2.2-0     
#  [37] cachem_1.0.5              DelayedArray_0.20.0      
#  [39] assertthat_0.2.1          promises_1.2.0.1         
#  [41] scales_1.1.1              gtable_0.3.0             
#  [43] beachmat_2.10.0           globals_0.14.0           
#  [45] conquer_1.0.2             goftest_1.2-2            
#  [47] mcmc_0.9-7                rlang_0.4.11             
#  [49] MatrixModels_0.5-0        genefilter_1.76.0        
#  [51] splines_4.1.0             lazyeval_0.2.2           
#  [53] spatstat.geom_2.2-0       reshape2_1.4.4           
#  [55] abind_1.4-5               httpuv_1.6.1             
#  [57] ggplot2_3.3.5             ellipsis_0.3.2           
#  [59] spatstat.core_2.2-0       RColorBrewer_1.1-2       
#  [61] ggridges_0.5.3            Rcpp_1.0.7               
#  [63] plyr_1.8.6                sparseMatrixStats_1.6.0  
#  [65] progress_1.2.2            zlibbioc_1.40.0          
#  [67] purrr_0.3.4               RCurl_1.98-1.5           
#  [69] prettyunits_1.1.1         rpart_4.1-15             
#  [71] deldir_0.2-10             pbapply_1.4-3            
#  [73] ashr_2.2-51               cowplot_1.1.1            
#  [75] zoo_1.8-9                 ggrepel_0.9.1            
#  [77] cluster_2.1.2             magrittr_2.0.1           
#  [79] data.table_1.14.0         scattermore_0.7          
#  [81] SparseM_1.81              lmtest_0.9-38            
#  [83] RANN_2.6.1                truncnorm_1.0-8          
#  [85] SQUAREM_2021.1            fitdistrplus_1.1-5       
#  [87] hms_1.1.0                 patchwork_1.1.1          
#  [89] mime_0.11                 xtable_1.8-4             
#  [91] XML_3.99-0.6              gridExtra_2.3            
#  [93] compiler_4.1.0            tibble_3.1.2             
#  [95] KernSmooth_2.23-20        crayon_1.4.1             
#  [97] htmltools_0.5.1.1         mgcv_1.8-35              
#  [99] later_1.2.0               tidyr_1.1.3              
# [101] geneplotter_1.72.0        RcppParallel_5.1.4       
# [103] DBI_1.1.1                 MASS_7.3-54              
# [105] quadprog_1.5-8            parallel_4.1.0           
# [107] metapod_1.2.0             igraph_1.2.6             
# [109] pkgconfig_2.0.3           plotly_4.9.4.1           
# [111] spatstat.sparse_2.0-0     annotate_1.72.0          
# [113] dqrng_0.3.0               XVector_0.34.0           
# [115] stringr_1.4.0             digest_0.6.27            
# [117] sctransform_0.3.2         RcppAnnoy_0.0.18         
# [119] spatstat.data_2.1-0       Biostrings_2.62.0        
# [121] leiden_0.3.8              uwot_0.1.10              
# [123] edgeR_3.36.0              DelayedMatrixStats_1.16.0
# [125] shiny_1.6.0               quantreg_5.86            
# [127] lifecycle_1.0.0           nlme_3.1-152             
# [129] jsonlite_1.7.2            BiocNeighbors_1.12.0     
# [131] viridisLite_0.4.0         limma_3.50.0             
# [133] fansi_0.5.0               pillar_1.6.1             
# [135] lattice_0.20-44           KEGGREST_1.34.0          
# [137] fastmap_1.1.0             httr_1.4.2               
# [139] survival_3.2-11           glue_1.4.2               
# [141] png_0.1-7                 bluster_1.4.0            
# [143] bit_4.0.4                 stringi_1.6.2            
# [145] blob_1.2.1                BiocSingular_1.10.0      
# [147] memoise_2.0.0             dplyr_1.0.7              
# [149] irlba_2.3.3               future.apply_1.7.0

Before comparing the methods, we first assess accuracy of the Monte Carlo computations by comparing the estimates from two independent MCMC runs.

res["session.info"] <- NULL
pdat <- data.frame(lfc1 = combine_sim_res(res,function (x) x$de1$postmean[,2]),
                   lfc2 = combine_sim_res(res,function (x) x$de2$postmean[,2]),
                   z1   = combine_sim_res(res,function (x) x$de1$z[,2]),
                   z2   = combine_sim_res(res,function (x) x$de2$z[,2]))
p1 <- ggplot(pdat,aes(x = lfc1,y = lfc2)) +
  geom_point(color = "dodgerblue",shape = 4,size = 0.75) +
  geom_abline(intercept = 0,slope = 1,linetype = "dotted") +
  labs(x = "first posterior mean",y = "second posterior mean") +
  theme_cowplot(font_size = 12)
p2 <- ggplot(pdat,aes(x = z1,y = z2)) +
  geom_point(color = "dodgerblue",shape = 4,size = 0.75) +
  geom_abline(intercept = 0,slope = 1,linetype = "dotted") +
  labs(x = "first z-score estimate",y = "second z-score estimate") +
  theme_cowplot(font_size = 12)
plot_grid(p1,p2)

Version Author Date
b1da836 Peter Carbonetto 2022-01-05

We see from these scatterplots that the estimates of the posterior mean LFCs and z-scores generated by the two MCMC runs are very similar.

Next we consider the K-L divergence measure used in Dey, Hsiao & Stephens (2017) to rank genes, and compare its ranking to a ranking based on p-values (without using adaptive shrinkage) or s-values (after applying adaptive shrinkage). Since the K-L divergence is not a signed ranking, we restrict this comparison only to LFCs estimated to be non-negative.

get_nonneg_lfcs <- function (F)
  which(F[,2] - F[,1] > -1e-8)
nonzero_lfc <- combine_sim_res(res,
                 function (x) {
                   i <- get_nonneg_lfcs(x$fit$F)
                   return(abs(x$dat$F[i,1] - x$dat$F[i,2]) > 1e-8)
                 })
noshrink <-
  combine_sim_res(res,function (x) x$de0$lpval[get_nonneg_lfcs(x$fit$F),2])
shrink <-
  combine_sim_res(res,function(x)x$de1$svalue[get_nonneg_lfcs(x$fit$F),2])
lfsr <- combine_sim_res(res,function(x)x$de1$lfsr[get_nonneg_lfcs(x$fit$F),2])
lkl <- combine_sim_res(res,function (x)
         fastTopics:::min_kl_poisson(x$fit$F)[get_nonneg_lfcs(x$fit$F),2])
pdat <- data.frame(nonzero_lfc = factor(nonzero_lfc),
                   noshrink    = 10^(-noshrink),
                   shrink      = shrink,
                   lfsr        = lfsr,
                   lkl         = log10(lkl + 1e-8))
p1 <- ggplot(pdat,aes(x = lkl,color = nonzero_lfc,fill = nonzero_lfc)) +
  geom_histogram(bins = 64,show.legend = FALSE) +
  scale_color_manual(values = c("darkorange","darkblue")) +
  scale_fill_manual(values = c("darkorange","darkblue")) +
  labs(x = "log10 K-L divergence",y = "genes",title = "K-L divergence") +
  theme_cowplot(font_size = 12)
p2 <- ggplot(pdat,aes(x = noshrink,color = nonzero_lfc,fill = nonzero_lfc)) +
  geom_histogram(bins = 64,show.legend = FALSE) +
  scale_color_manual(values = c("darkorange","darkblue")) +
  scale_fill_manual(values = c("darkorange","darkblue")) +
  labs(x = "p-value",y = "genes",title = "without shrinkage") +
  theme_cowplot(font_size = 12)
p3 <- ggplot(pdat,aes(x = shrink,color = nonzero_lfc,fill = nonzero_lfc)) +
  geom_histogram(bins = 64,show.legend = FALSE) +
  scale_color_manual(values = c("darkorange","darkblue")) +
  scale_fill_manual(values = c("darkorange","darkblue")) +
  labs(x = "s-value",y = "genes",title = "with shrinkage") +
  theme_cowplot(font_size = 12)
plot_grid(p1,p2,p3,nrow = 1,ncol = 3)

Add text here.


sessionInfo()
# R version 3.6.2 (2019-12-12)
# Platform: x86_64-apple-darwin15.6.0 (64-bit)
# Running under: macOS Catalina 10.15.7
# 
# Matrix products: default
# BLAS:   /Library/Frameworks/R.framework/Versions/3.6/Resources/lib/libRblas.0.dylib
# LAPACK: /Library/Frameworks/R.framework/Versions/3.6/Resources/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] cowplot_1.0.0     ggplot2_3.3.5     fastTopics_0.6-96 Matrix_1.2-18    
# 
# loaded via a namespace (and not attached):
#  [1] httr_1.4.2         tidyr_1.1.3        jsonlite_1.7.2     viridisLite_0.3.0 
#  [5] RcppParallel_4.4.2 assertthat_0.2.1   mixsqp_0.3-46      yaml_2.2.0        
#  [9] progress_1.2.2     ggrepel_0.9.1      pillar_1.6.2       backports_1.1.5   
# [13] lattice_0.20-38    quantreg_5.54      glue_1.4.2         quadprog_1.5-8    
# [17] digest_0.6.23      promises_1.1.0     colorspace_1.4-1   htmltools_0.4.0   
# [21] httpuv_1.5.2       pkgconfig_2.0.3    invgamma_1.1       SparseM_1.78      
# [25] purrr_0.3.4        scales_1.1.0       whisker_0.4        later_1.0.0       
# [29] Rtsne_0.15         MatrixModels_0.4-1 git2r_0.26.1       tibble_3.1.3      
# [33] farver_2.0.1       generics_0.0.2     ellipsis_0.3.2     withr_2.4.2       
# [37] ashr_2.2-51        pbapply_1.5-1      lazyeval_0.2.2     magrittr_2.0.1    
# [41] crayon_1.4.1       mcmc_0.9-6         evaluate_0.14      fs_1.3.1          
# [45] fansi_0.4.0        MASS_7.3-51.4      truncnorm_1.0-8    tools_3.6.2       
# [49] data.table_1.12.8  prettyunits_1.1.1  hms_1.1.0          lifecycle_1.0.0   
# [53] stringr_1.4.0      MCMCpack_1.4-5     plotly_4.9.2       munsell_0.5.0     
# [57] irlba_2.3.3        compiler_3.6.2     systemfonts_1.0.2  rlang_0.4.11      
# [61] grid_3.6.2         htmlwidgets_1.5.1  labeling_0.3       rmarkdown_2.3     
# [65] gtable_0.3.0       DBI_1.1.0          R6_2.4.1           knitr_1.26        
# [69] dplyr_1.0.7        uwot_0.1.10        utf8_1.1.4         workflowr_1.6.2   
# [73] rprojroot_1.3-2    ragg_0.3.1         stringi_1.4.3      parallel_3.6.2    
# [77] SQUAREM_2017.10-1  Rcpp_1.0.7         vctrs_0.3.8        tidyselect_1.1.1  
# [81] xfun_0.11          coda_0.19-3