Dimensionality reduction

Timothy Keyes

2024-09-03

library(tidytof)
library(dplyr)
library(ggplot2)

A useful tool for visualizing the phenotypic relationships between single cells and clusters of cells is dimensionality reduction, a form of unsupervised machine learning used to represent high-dimensional datasets in a smaller number of dimensions.

{tidytof} includes several dimensionality reduction algorithms commonly used by biologists: Principal component analysis (PCA), t-distributed stochastic neighbor embedding (tSNE), and uniform manifold approximation and projection (UMAP). To apply these to a dataset, use tof_reduce_dimensions().

Dimensionality reduction with tof_reduce_dimensions().

Here is an example call to tof_reduce_dimensions() in which we use tSNE to visualize data in {tidytof}’s built-in phenograph_data dataset.

data(phenograph_data)

# perform the dimensionality reduction
phenograph_tsne <-
    phenograph_data |>
    tof_preprocess() |>
    tof_reduce_dimensions(method = "tsne")
#> Loading required namespace: Rtsne

# select only the tsne embedding columns
phenograph_tsne |>
    select(contains("tsne")) |>
    head()
#> # A tibble: 6 × 2
#>   .tsne1 .tsne2
#>    <dbl>  <dbl>
#> 1   7.33  -7.23
#> 2  13.2   -8.14
#> 3  26.5  -24.1 
#> 4  23.5   -7.09
#> 5   9.89  -9.36
#> 6  20.2  -16.2

By default, tof_reduce_dimensions will add reduced-dimension feature embeddings to the input tof_tbl and return the augmented tof_tbl (that is, a tof_tbl with new columns for each embedding dimension) as its result. To return only the features embeddings themselves, set augment to FALSE (as in tof_cluster).

phenograph_data |>
    tof_preprocess() |>
    tof_reduce_dimensions(method = "tsne", augment = FALSE)
#> # A tibble: 3,000 × 2
#>    .tsne1 .tsne2
#>     <dbl>  <dbl>
#>  1   3.62   9.42
#>  2   8.28  12.3 
#>  3  30.0   10.6 
#>  4  13.9   20.8 
#>  5   5.37  11.4 
#>  6  18.5   14.3 
#>  7  10.5   11.8 
#>  8  21.7   10.2 
#>  9  15.1   15.8 
#> 10   4.39   6.75
#> # ℹ 2,990 more rows

Changing the method argument results in different low-dimensional embeddings:

phenograph_data |>
    tof_reduce_dimensions(method = "umap", augment = FALSE)
#> # A tibble: 3,000 × 2
#>    .umap1  .umap2
#>     <dbl>   <dbl>
#>  1  9.38  -4.31  
#>  2  8.41  -3.70  
#>  3  3.26  -0.0414
#>  4  2.71   1.70  
#>  5  9.42  -4.17  
#>  6  0.144  2.75  
#>  7  9.57  -3.61  
#>  8  2.31   0.776 
#>  9  5.32   0.726 
#> 10  8.20  -5.77  
#> # ℹ 2,990 more rows

phenograph_data |>
    tof_reduce_dimensions(method = "pca", augment = FALSE)
#> # A tibble: 3,000 × 5
#>       .pc1     .pc2   .pc3    .pc4   .pc5
#>      <dbl>    <dbl>  <dbl>   <dbl>  <dbl>
#>  1 -2.77    1.23    -0.868  0.978   3.49 
#>  2 -0.969  -1.02    -0.787  1.22    0.329
#>  3 -2.36    2.54    -1.95  -0.882  -1.30 
#>  4 -3.68   -0.00565  0.962  0.410   0.788
#>  5 -4.03    2.07    -0.829  1.59    5.39 
#>  6 -2.59   -0.108    1.32  -1.41   -1.24 
#>  7 -1.55   -0.651   -0.233  1.08    0.129
#>  8 -1.18   -0.446    0.134 -0.771  -0.932
#>  9 -2.00   -0.485    0.593 -0.0416 -0.658
#> 10 -0.0356 -0.924   -0.692  1.45    0.270
#> # ℹ 2,990 more rows

Method specifications for tof_reduce_*() functions

tof_reduce_dimensions() provides a high-level API for three lower-level functions: tof_reduce_pca(), tof_reduce_umap(), and tof_reduce_tsne(). The help files for each of these functions provide details about the algorithm-specific method specifications associated with each of these dimensionality reduction approaches. For example, tof_reduce_pca takes the num_comp argument to determine how many principal components should be returned:

# 2 principal components
phenograph_data |>
    tof_reduce_pca(num_comp = 2)
#> # A tibble: 3,000 × 2
#>       .pc1     .pc2
#>      <dbl>    <dbl>
#>  1 -2.77    1.23   
#>  2 -0.969  -1.02   
#>  3 -2.36    2.54   
#>  4 -3.68   -0.00565
#>  5 -4.03    2.07   
#>  6 -2.59   -0.108  
#>  7 -1.55   -0.651  
#>  8 -1.18   -0.446  
#>  9 -2.00   -0.485  
#> 10 -0.0356 -0.924  
#> # ℹ 2,990 more rows
# 3 principal components
phenograph_data |>
    tof_reduce_pca(num_comp = 3)
#> # A tibble: 3,000 × 3
#>       .pc1     .pc2   .pc3
#>      <dbl>    <dbl>  <dbl>
#>  1 -2.77    1.23    -0.868
#>  2 -0.969  -1.02    -0.787
#>  3 -2.36    2.54    -1.95 
#>  4 -3.68   -0.00565  0.962
#>  5 -4.03    2.07    -0.829
#>  6 -2.59   -0.108    1.32 
#>  7 -1.55   -0.651   -0.233
#>  8 -1.18   -0.446    0.134
#>  9 -2.00   -0.485    0.593
#> 10 -0.0356 -0.924   -0.692
#> # ℹ 2,990 more rows

see ?tof_reduce_pca, ?tof_reduce_umap, and ?tof_reduce_tsne for additional details.

Visualization using tof_plot_cells_embedding()

Regardless of the method used, reduced-dimension feature embeddings can be visualized using {ggplot2} (or any graphics package). {tidytof} also provides some helper functions for easily generating dimensionality reduction plots from a tof_tbl or tibble with columns representing embedding dimensions:

# plot the tsne embeddings using color to distinguish between clusters
phenograph_tsne |>
    tof_plot_cells_embedding(
        embedding_cols = contains(".tsne"),
        color_col = phenograph_cluster
    )

plot of chunk unnamed-chunk-7


# plot the tsne embeddings using color to represent CD11b expression
phenograph_tsne |>
    tof_plot_cells_embedding(
        embedding_cols = contains(".tsne"),
        color_col = cd11b
    ) +
    ggplot2::scale_fill_viridis_c()

plot of chunk unnamed-chunk-7

Such visualizations can be helpful in qualitatively describing the phenotypic differences between the clusters in a dataset. For example, in the example above, we can see that one of the clusters has high CD11b expression, whereas the others have lower CD11b expression.

Session info

sessionInfo()
#> R version 4.4.1 (2024-06-14)
#> Platform: x86_64-pc-linux-gnu
#> Running under: Ubuntu 22.04.4 LTS
#> 
#> Matrix products: default
#> BLAS:   /home/biocbuild/bbs-3.20-bioc/R/lib/libRblas.so 
#> LAPACK: /usr/lib/x86_64-linux-gnu/lapack/liblapack.so.3.10.0
#> 
#> locale:
#>  [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
#>  [3] LC_TIME=en_GB              LC_COLLATE=C              
#>  [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       
#> 
#> time zone: America/New_York
#> tzcode source: system (glibc)
#> 
#> attached base packages:
#> [1] stats4    stats     graphics  grDevices utils     datasets  methods  
#> [8] base     
#> 
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#>  [1] tidyr_1.3.1                 stringr_1.5.1              
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#> [21] tidytof_0.99.8             
#> 
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