In this short vignette, we fit a sparse linear regression model with up to L > 0 non-zero effects. Generally, there is no harm in over-stating L (that is, the method is pretty robust to overfitting), except that computation will grow as L grows.
Here is a minimal example:
library(susieR)
set.seed(1)
n <- 1000
p <- 1000
beta <- rep(0,p)
beta[c(1,2,300,400)] <- 1
X <- matrix(rnorm(n*p),nrow=n,ncol=p)
y <- X %*% beta + rnorm(n)
res <- susie(X,y,L=10)
plot(coef(res)[-1],pch = 20)
Plot the ground-truth outcomes vs. the predicted outcomes:

Session information
Here are some details about the computing environment, including the versions of R, and the R packages, used to generate these results.
sessionInfo()
# R version 4.4.3 (2025-02-28)
# Platform: x86_64-conda-linux-gnu
# Running under: Ubuntu 24.04.3 LTS
#
# Matrix products: default
# BLAS/LAPACK: /home/runner/work/susieR/susieR/.pixi/envs/r44/lib/libopenblasp-r0.3.30.so; LAPACK version 3.12.0
#
# locale:
# [1] LC_CTYPE=C.UTF-8 LC_NUMERIC=C LC_TIME=C.UTF-8
# [4] LC_COLLATE=C.UTF-8 LC_MONETARY=C.UTF-8 LC_MESSAGES=C.UTF-8
# [7] LC_PAPER=C.UTF-8 LC_NAME=C LC_ADDRESS=C
# [10] LC_TELEPHONE=C LC_MEASUREMENT=C.UTF-8 LC_IDENTIFICATION=C
#
# time zone: Etc/UTC
# tzcode source: system (glibc)
#
# attached base packages:
# [1] stats graphics grDevices utils datasets methods base
#
# other attached packages:
# [1] susieR_0.14.2
#
# loaded via a namespace (and not attached):
# [1] Matrix_1.7-4 gtable_0.3.6 jsonlite_2.0.0
# [4] compiler_4.4.3 crayon_1.5.3 Rcpp_1.1.0
# [7] jquerylib_0.1.4 systemfonts_1.3.1 scales_1.4.0
# [10] textshaping_1.0.4 yaml_2.3.10 fastmap_1.2.0
# [13] lattice_0.22-7 ggplot2_4.0.1 R6_2.6.1
# [16] plyr_1.8.9 mixsqp_0.3-54 knitr_1.50
# [19] htmlwidgets_1.6.4 zigg_0.0.2 desc_1.4.3
# [22] bslib_0.9.0 RColorBrewer_1.1-3 rlang_1.1.6
# [25] cachem_1.1.0 reshape_0.8.10 xfun_0.54
# [28] fs_1.6.6 sass_0.4.10 S7_0.2.1
# [31] RcppParallel_5.1.11-1 cli_3.6.5 pkgdown_2.2.0
# [34] digest_0.6.39 grid_4.4.3 irlba_2.3.5.1
# [37] lifecycle_1.0.4 vctrs_0.6.5 Rfast_2.1.5.2
# [40] evaluate_1.0.5 glue_1.8.0 farver_2.1.2
# [43] ragg_1.5.0 rmarkdown_2.30 matrixStats_1.5.0
# [46] tools_4.4.3 htmltools_0.5.8.1