Contents

Here, we demonstrate a grid search of clustering parameters with a mouse hippocampus VeraFISH dataset. BANKSY currently provides four algorithms for clustering the BANKSY matrix with clusterBanksy: Leiden (default), Louvain, k-means, and model-based clustering. In this vignette, we run only Leiden clustering. See ?clusterBanksy for more details on the parameters for different clustering methods.

1 Loading the data

The dataset comprises gene expression for 10,944 cells and 120 genes in 2 spatial dimensions. See ?Banksy::hippocampus for more details.

# Load libs
library(Banksy)

library(SummarizedExperiment)
library(SpatialExperiment)
library(scuttle)

library(scater)
library(cowplot)
library(ggplot2)

# Load data
data(hippocampus)
gcm <- hippocampus$expression
locs <- as.matrix(hippocampus$locations)

Here, gcm is a gene by cell matrix, and locs is a matrix specifying the coordinates of the centroid for each cell.

head(gcm[,1:5])
#>         cell_1276 cell_8890 cell_691 cell_396 cell_9818
#> Sparcl1        45         0       11       22         0
#> Slc1a2         17         0        6        5         0
#> Map            10         0       12       16         0
#> Sqstm1         26         0        0        2         0
#> Atp1a2          0         0        4        3         0
#> Tnc             0         0        0        0         0
head(locs)
#>                 sdimx    sdimy
#> cell_1276  -13372.899 15776.37
#> cell_8890    8941.101 15866.37
#> cell_691   -14882.899 15896.37
#> cell_396   -15492.899 15835.37
#> cell_9818   11308.101 15846.37
#> cell_11310  14894.101 15810.37

Initialize a SpatialExperiment object and perform basic quality control. We keep cells with total transcript count within the 5th and 98th percentile:

se <- SpatialExperiment(assay = list(counts = gcm), spatialCoords = locs)
colData(se) <- cbind(colData(se), spatialCoords(se))

# QC based on total counts
qcstats <- perCellQCMetrics(se)
thres <- quantile(qcstats$total, c(0.05, 0.98))
keep <- (qcstats$total > thres[1]) & (qcstats$total < thres[2])
se <- se[, keep]

Next, perform normalization of the data.

# Normalization to mean library size
se <- computeLibraryFactors(se)
aname <- "normcounts"
assay(se, aname) <- normalizeCounts(se, log = FALSE)

2 Parameters

BANKSY has a few key parameters. We describe these below.

2.1 AGF usage

For characterising neighborhoods, BANKSY computes the weighted neighborhood mean (H_0) and the azimuthal Gabor filter (H_1), which estimates gene expression gradients. Setting compute_agf=TRUE computes both H_0 and H_1.

2.2 k-geometric

k_geom specifies the number of neighbors used to compute each H_m for m=0,1. If a single value is specified, the same k_geom will be used for each feature matrix. Alternatively, multiple values of k_geom can be provided for each feature matrix. Here, we use k_geom[1]=15 and k_geom[2]=30 for H_0 and H_1 respectively. More neighbors are used to compute gradients.

For datasets generated using Visium v1/v2, use k_geom=18 (or k_geom <- c(18, 18) if compute_agf = TRUE), since that corresponds to taking as neighbourhood two concentric rings of spots around each spot.

We compute the neighborhood feature matrices using normalized expression (normcounts in the se object).

k_geom <- c(15, 30)
se <- computeBanksy(se, assay_name = aname, compute_agf = TRUE, k_geom = k_geom)
#> Computing neighbors...
#> Spatial mode is kNN_median
#> Parameters: k_geom=15
#> Done
#> Computing neighbors...
#> Spatial mode is kNN_median
#> Parameters: k_geom=30
#> Done
#> Done
#> Centering
#> Done

computeBanksy populates the assays slot with H_0 and H_1 in this instance:

se
#> class: SpatialExperiment 
#> dim: 120 10205 
#> metadata(1): BANKSY_params
#> assays(4): counts normcounts H0 H1
#> rownames(120): Sparcl1 Slc1a2 ... Notch3 Egfr
#> rowData names(0):
#> colnames(10205): cell_1276 cell_691 ... cell_11635 cell_10849
#> colData names(4): sample_id sdimx sdimy sizeFactor
#> reducedDimNames(0):
#> mainExpName: NULL
#> altExpNames(0):
#> spatialCoords names(2) : sdimx sdimy
#> imgData names(1): sample_id

2.3 lambda

The lambda parameter is a mixing parameter in [0,1] which determines how much spatial information is incorporated for downstream analysis. With smaller values of lambda, BANKY operates in cell-typing mode, while at higher levels of lambda, BANKSY operates in domain-finding mode. As a starting point, we recommend lambda=0.2 for cell-typing and lambda=0.8 for zone-finding, except for datasets generated using the Visium v1/v2 technology, for which we recommend lambda=0.2 for domain finding. See the note in the tutorial on the main page for more info.

Here, we run lambda=0 which corresponds to non-spatial clustering, and lambda=0.2 for spatially-informed cell-typing. We compute PCs with and without the AGF (H_1).

lambda <- c(0, 0.2)
se <- runBanksyPCA(se, use_agf = c(FALSE, TRUE), lambda = lambda, seed = 1000)
#> Using seed=1000
#> Using seed=1000
#> Using seed=1000
#> Using seed=1000

runBanksyPCA populates the reducedDims slot, with each combination of use_agf and lambda provided.

reducedDimNames(se)
#> [1] "PCA_M0_lam0"   "PCA_M0_lam0.2" "PCA_M1_lam0"   "PCA_M1_lam0.2"

2.4 Clustering parameters

Next, we cluster the BANKSY embedding with Leiden graph-based clustering. This admits two parameters: k_neighbors and resolution. k_neighbors determines the number of k nearest neighbors used to construct the shared nearest neighbors graph. Leiden clustering is then performed on the resultant graph with resolution resolution. For reproducibiltiy we set a seed for each parameter combination.

k <- 50
res <- 1
se <- clusterBanksy(se, use_agf = c(FALSE, TRUE), lambda = lambda, k_neighbors = k, resolution = res, seed = 1000)
#> Using seed=1000
#> Using seed=1000
#> Using seed=1000
#> Using seed=1000

clusterBanksy populates colData(se) with cluster labels:

colnames(colData(se))
#> [1] "sample_id"                "sdimx"                   
#> [3] "sdimy"                    "sizeFactor"              
#> [5] "clust_M0_lam0_k50_res1"   "clust_M0_lam0.2_k50_res1"
#> [7] "clust_M1_lam0_k50_res1"   "clust_M1_lam0.2_k50_res1"

3 Comparing cluster results

To compare clustering runs visually, different runs can be relabeled to minimise their differences with connectClusters:

se <- connectClusters(se)
#> clust_M1_lam0_k50_res1 --> clust_M0_lam0_k50_res1
#> clust_M0_lam0.2_k50_res1 --> clust_M1_lam0_k50_res1
#> clust_M1_lam0.2_k50_res1 --> clust_M0_lam0.2_k50_res1

Visualise spatial coordinates with cluster labels.

cnames <- colnames(colData(se))
cnames <- cnames[grep("^clust", cnames)]
cplots <- lapply(cnames, function(cnm) {
    plotColData(se, x = "sdimx", y = "sdimy", point_size = 0.1, colour_by = cnm) +
        coord_equal() +
        labs(title = cnm) +
        theme(legend.title = element_blank()) +
        guides(colour = guide_legend(override.aes = list(size = 2)))
})

plot_grid(plotlist = cplots, ncol = 2)

Compare all cluster outputs with compareClusters. This function computes pairwise cluster comparison metrics between the clusters in colData(se) based on adjusted Rand index (ARI):

compareClusters(se, func = "ARI")
#>                          clust_M0_lam0_k50_res1 clust_M0_lam0.2_k50_res1
#> clust_M0_lam0_k50_res1                    1.000                     0.67
#> clust_M0_lam0.2_k50_res1                  0.670                     1.00
#> clust_M1_lam0_k50_res1                    1.000                     0.67
#> clust_M1_lam0.2_k50_res1                  0.747                     0.87
#>                          clust_M1_lam0_k50_res1 clust_M1_lam0.2_k50_res1
#> clust_M0_lam0_k50_res1                    1.000                    0.747
#> clust_M0_lam0.2_k50_res1                  0.670                    0.870
#> clust_M1_lam0_k50_res1                    1.000                    0.747
#> clust_M1_lam0.2_k50_res1                  0.747                    1.000

or normalized mutual information (NMI):

compareClusters(se, func = "NMI")
#>                          clust_M0_lam0_k50_res1 clust_M0_lam0.2_k50_res1
#> clust_M0_lam0_k50_res1                    1.000                    0.741
#> clust_M0_lam0.2_k50_res1                  0.741                    1.000
#> clust_M1_lam0_k50_res1                    1.000                    0.741
#> clust_M1_lam0.2_k50_res1                  0.782                    0.915
#>                          clust_M1_lam0_k50_res1 clust_M1_lam0.2_k50_res1
#> clust_M0_lam0_k50_res1                    1.000                    0.782
#> clust_M0_lam0.2_k50_res1                  0.741                    0.915
#> clust_M1_lam0_k50_res1                    1.000                    0.782
#> clust_M1_lam0.2_k50_res1                  0.782                    1.000

See ?compareClusters for the full list of comparison measures.

4 Session information

Vignette runtime:

#> Time difference of 50.63552 secs
sessionInfo()
#> R version 4.5.0 (2025-04-11)
#> Platform: x86_64-pc-linux-gnu
#> Running under: Ubuntu 24.04.2 LTS
#> 
#> Matrix products: default
#> BLAS:   /home/biocbuild/bbs-3.22-bioc/R/lib/libRblas.so 
#> LAPACK: /usr/lib/x86_64-linux-gnu/lapack/liblapack.so.3.12.0  LAPACK version 3.12.0
#> 
#> 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     
#> 
#> other attached packages:
#>  [1] ExperimentHub_2.99.5        AnnotationHub_3.99.5       
#>  [3] BiocFileCache_2.99.5        dbplyr_2.5.0               
#>  [5] spatialLIBD_1.21.5          cowplot_1.1.3              
#>  [7] scater_1.37.0               ggplot2_3.5.2              
#>  [9] harmony_1.2.3               Rcpp_1.0.14                
#> [11] data.table_1.17.4           scran_1.37.0               
#> [13] scuttle_1.19.0              Seurat_5.3.0               
#> [15] SeuratObject_5.1.0          sp_2.2-0                   
#> [17] SpatialExperiment_1.19.1    SingleCellExperiment_1.31.0
#> [19] SummarizedExperiment_1.39.0 Biobase_2.69.0             
#> [21] GenomicRanges_1.61.0        GenomeInfoDb_1.45.4        
#> [23] IRanges_2.43.0              S4Vectors_0.47.0           
#> [25] BiocGenerics_0.55.0         generics_0.1.4             
#> [27] MatrixGenerics_1.21.0       matrixStats_1.5.0          
#> [29] Banksy_1.5.4                BiocStyle_2.37.0           
#> 
#> loaded via a namespace (and not attached):
#>   [1] bitops_1.0-9             spatstat.sparse_3.1-0    httr_1.4.7              
#>   [4] RColorBrewer_1.1-3       doParallel_1.0.17        tools_4.5.0             
#>   [7] sctransform_0.4.2        DT_0.33                  R6_2.6.1                
#>  [10] lazyeval_0.2.2           uwot_0.2.3               GetoptLong_1.0.5        
#>  [13] withr_3.0.2              gridExtra_2.3            progressr_0.15.1        
#>  [16] cli_3.6.5                spatstat.explore_3.4-3   fastDummies_1.7.5       
#>  [19] labeling_0.4.3           sass_0.4.10              spatstat.data_3.1-6     
#>  [22] ggridges_0.5.6           pbapply_1.7-2            Rsamtools_2.25.0        
#>  [25] dbscan_1.2.2             aricode_1.0.3            dichromat_2.0-0.1       
#>  [28] sessioninfo_1.2.3        parallelly_1.45.0        attempt_0.3.1           
#>  [31] maps_3.4.3               limma_3.65.1             pals_1.10               
#>  [34] RSQLite_2.4.1            BiocIO_1.19.0            shape_1.4.6.1           
#>  [37] ica_1.0-3                spatstat.random_3.4-1    dplyr_1.1.4             
#>  [40] Matrix_1.7-3             ggbeeswarm_0.7.2         abind_1.4-8             
#>  [43] lifecycle_1.0.4          yaml_2.3.10              edgeR_4.7.2             
#>  [46] SparseArray_1.9.0        Rtsne_0.17               paletteer_1.6.0         
#>  [49] grid_4.5.0               blob_1.2.4               promises_1.3.3          
#>  [52] dqrng_0.4.1              crayon_1.5.3             miniUI_0.1.2            
#>  [55] lattice_0.22-7           beachmat_2.25.1          mapproj_1.2.12          
#>  [58] KEGGREST_1.49.0          magick_2.8.7             pillar_1.10.2           
#>  [61] knitr_1.50               ComplexHeatmap_2.25.0    metapod_1.17.0          
#>  [64] rjson_0.2.23             future.apply_1.20.0      codetools_0.2-20        
#>  [67] glue_1.8.0               spatstat.univar_3.1-3    vctrs_0.6.5             
#>  [70] png_0.1-8                spam_2.11-1              gtable_0.3.6            
#>  [73] rematch2_2.1.2           cachem_1.1.0             xfun_0.52               
#>  [76] S4Arrays_1.9.1           mime_0.13                survival_3.8-3          
#>  [79] RcppHungarian_0.3        iterators_1.0.14         tinytex_0.57            
#>  [82] statmod_1.5.0            bluster_1.19.0           fitdistrplus_1.2-2      
#>  [85] ROCR_1.0-11              nlme_3.1-168             bit64_4.6.0-1           
#>  [88] filelock_1.0.3           RcppAnnoy_0.0.22         bslib_0.9.0             
#>  [91] irlba_2.3.5.1            vipor_0.4.7              KernSmooth_2.23-26      
#>  [94] colorspace_2.1-1         DBI_1.2.3                tidyselect_1.2.1        
#>  [97] bit_4.6.0                compiler_4.5.0           curl_6.3.0              
#> [100] httr2_1.1.2              BiocNeighbors_2.3.1      DelayedArray_0.35.1     
#> [103] plotly_4.10.4            rtracklayer_1.69.0       bookdown_0.43           
#> [106] scales_1.4.0             lmtest_0.9-40            rappdirs_0.3.3          
#> [109] stringr_1.5.1            digest_0.6.37            goftest_1.2-3           
#> [112] spatstat.utils_3.1-4     rmarkdown_2.29           benchmarkmeData_1.0.4   
#> [115] RhpcBLASctl_0.23-42      XVector_0.49.0           htmltools_0.5.8.1       
#> [118] pkgconfig_2.0.3          fastmap_1.2.0            GlobalOptions_0.1.2     
#> [121] rlang_1.1.6              htmlwidgets_1.6.4        UCSC.utils_1.5.0        
#> [124] shiny_1.10.0             farver_2.1.2             jquerylib_0.1.4         
#> [127] zoo_1.8-14               jsonlite_2.0.0           BiocParallel_1.43.3     
#> [130] mclust_6.1.1             config_0.3.2             RCurl_1.98-1.17         
#> [133] BiocSingular_1.25.0      magrittr_2.0.3           dotCall64_1.2           
#> [136] patchwork_1.3.0          viridis_0.6.5            reticulate_1.42.0       
#> [139] leidenAlg_1.1.5          stringi_1.8.7            MASS_7.3-65             
#> [142] plyr_1.8.9               parallel_4.5.0           listenv_0.9.1           
#> [145] ggrepel_0.9.6            deldir_2.0-4             Biostrings_2.77.1       
#> [148] sccore_1.0.6             splines_4.5.0            tensor_1.5              
#> [151] circlize_0.4.16          locfit_1.5-9.12          igraph_2.1.4            
#> [154] spatstat.geom_3.4-1      RcppHNSW_0.6.0           reshape2_1.4.4          
#> [157] ScaledMatrix_1.17.0      XML_3.99-0.18            BiocVersion_3.22.0      
#> [160] evaluate_1.0.3           golem_0.5.1              BiocManager_1.30.26     
#> [163] foreach_1.5.2            httpuv_1.6.16            RANN_2.6.2              
#> [166] tidyr_1.3.1              purrr_1.0.4              polyclip_1.10-7         
#> [169] benchmarkme_1.0.8        clue_0.3-66              future_1.58.0           
#> [172] scattermore_1.2          rsvd_1.0.5               xtable_1.8-4            
#> [175] restfulr_0.0.15          RSpectra_0.16-2          later_1.4.2             
#> [178] viridisLite_0.4.2        tibble_3.3.0             GenomicAlignments_1.45.0
#> [181] memoise_2.0.1            beeswarm_0.4.0           AnnotationDbi_1.71.0    
#> [184] cluster_2.1.8.1          shinyWidgets_0.9.0       globals_0.18.0