BERT (Batch-Effect Removal with Trees) offers flexible and efficient batch effect correction of omics data, while providing maximum tolerance to missing values. Tested on multiple datasets from proteomic analyses, BERT offered a typical 5-10x runtime improvement over existing methods, while retaining more numeric values and preserving batch effect reduction quality.
As such, BERT is a valuable preprocessing tool for data analysis workflows, in particular for proteomic data. By providing BERT via Bioconductor, we make this tool available to a wider research community. An accompanying research paper is currently under preparation and will be made public soon.
BERT addresses the same fundamental data integration challenges than the [HarmonizR][https://github.com/HSU-HPC/HarmonizR] package, which is released on Bioconductor in November 2023. However, various algorithmic modications and optimizations of BERT provide better execution time and better data coverage than HarmonizR. Moreover, BERT offers a more user-friendly design and a less error-prone input format.
Please note that our package BERT is neither affiliated with nor related to Bidirectional Encoder Representations from Transformers as published by Google.
Please report any questions and issues in the GitHub forum, the BioConductor forum or directly contact the authors,
Please download and install a current version of R (Windows binaries). You might want to consider installing a development environment as well, e.g. RStudio. Finally, BERT can be installed via Bioconductor using
if (!require("BiocManager", quietly = TRUE)){
install.packages("BiocManager")
}
BiocManager::install("BERT")
which will install all required dependencies. To install the development version of BERT, you can use devtools as follows
which may require the manual installation of the dependencies
sva
and limma
.
As input, BERT requires a dataframe1 with samples in rows
and features in columns. For each sample, the respective batch should be
indicated by an integer or string in a corresponding column labelled
Batch. Missing values should be labelled as NA
. A
valid example dataframe could look like this:
example = data.frame(feature_1 = stats::rnorm(5), feature_2 = stats::rnorm(5), Batch=c(1,1,2,2,2))
example
#> feature_1 feature_2 Batch
#> 1 0.01386623 -0.62925270 1
#> 2 -0.24159216 -0.28920177 1
#> 3 1.12482991 -0.10920596 2
#> 4 -0.83095285 0.09400311 2
#> 5 0.17607188 0.69546424 2
Note that each batch should contain at least two samples. Optional columns that can be passed are
Label
A column with integers or strings indicating
the (known) class for each sample. NA
is not allowed. BERT
may use this columns and Batch
to compute quality metrics
after batch effect correction.
Sample
A sample name. This column is ignored by BERT
and can be used to provide meta-information for further
processing.
Cov_1
, Cov_2
, …, Cov_x
:
One or multiple columns with integers, indicating one or several
covariate levels. NA
is not allowed. If this(these)
column(s) is present, BERT will pass them as covariates to the the
underlying batch effect correction method. As an example, this
functionality can be used to preserve differences between
healthy/tumorous samples, if some of the batches exhibit strongly
variable class distributions. Note that BERT requires at least two
numeric values per batch and unique covariate level to adjust a feature.
Features that don’t satisfy this condition in a specific batch are set
to NA
for that batch.
Reference
A column with integers or strings from
ℕ0 that indicate, whether a
sample should be used for “learning” the transformation for batch effect
correction or whether the sample should be co-adjusted using the learned
transformation from the other samples.NA
is not allowed.
This feature can be used, if some batches contain unique classes or
samples with unknown classes which would prohibit the usage of covariate
columns. If the column contains a 0
for a sample, this
sample will be co-adjusted. Otherwise, the sample should contain the
respective class (encoded as integer or string). Note that BERT requires
at least two references of common class per adjustment step and that the
Reference
column is mutually exclusive with covariate
columns.
Note that BERT tries to find all metadata information for a
SummarizedExperiment
, including the mandatory batch
information, using colData
. For instance, a valid
SummarizedExperiment
might be defined as
nrows <- 200
ncols <- 8
expr_values <- matrix(runif(nrows * ncols, 1, 1e4), nrows)
# colData also takes all other metadata information, such as Label, Sample,
# Covariables etc.
colData <- data.frame(Batch=c(1,1,1,1,2,2,2,2), Reference=c(1,1,0,0,1,1,0,0))
dataset_raw = SummarizedExperiment::SummarizedExperiment(assays=list(expr=expr_values), colData=colData)
BERT can be invoked by importing the BERT
library and
calling the BERT
function. The batch effect corrected data
is returned as a dataframe that mirrors the input dataframe2.
library(BERT)
# generate test data with 10% missing values as provided by the BERT library
dataset_raw <- generate_dataset(features=60, batches=10, samplesperbatch=10, mvstmt=0.1, classes=2)
# apply BERT
dataset_adjusted <- BERT(dataset_raw)
#> 2025-02-28 07:05:13.666586 INFO::Formatting Data.
#> 2025-02-28 07:05:13.672952 INFO::Replacing NaNs with NAs.
#> 2025-02-28 07:05:13.67901 INFO::Removing potential empty rows and columns
#> 2025-02-28 07:05:13.868685 INFO::Found 600 missing values.
#> 2025-02-28 07:05:13.878993 INFO::Introduced 0 missing values due to singular proteins at batch/covariate level.
#> 2025-02-28 07:05:13.879446 INFO::Done
#> 2025-02-28 07:05:13.879819 INFO::Acquiring quality metrics before batch effect correction.
#> 2025-02-28 07:05:13.889518 INFO::Starting hierarchical adjustment
#> 2025-02-28 07:05:13.890156 INFO::Found 10 batches.
#> 2025-02-28 07:05:13.890545 INFO::Cores argument is not defined or BPPARAM has been specified. Argument corereduction will not be used.
#> 2025-02-28 07:05:15.64557 INFO::Using default BPPARAM
#> 2025-02-28 07:05:15.646084 INFO::Processing subtree level 1
#> 2025-02-28 07:05:16.951647 INFO::Processing subtree level 2
#> 2025-02-28 07:05:18.259906 INFO::Adjusting the last 1 batches sequentially
#> 2025-02-28 07:05:18.261234 INFO::Done
#> 2025-02-28 07:05:18.261615 INFO::Acquiring quality metrics after batch effect correction.
#> 2025-02-28 07:05:18.264859 INFO::ASW Batch was 0.525886433538828 prior to batch effect correction and is now -0.125485842708554 .
#> 2025-02-28 07:05:18.265285 INFO::ASW Label was 0.287724609911867 prior to batch effect correction and is now 0.814909470314648 .
#> 2025-02-28 07:05:18.266023 INFO::Total function execution time is 4.6131763458252 s and adjustment time is 4.37130951881409 s ( 94.76 )
BERT uses the logging
library to convey live information
to the user during the adjustment procedure. The algorithm first
verifies the shape and suitability of the input dataframe (lines 1-6)
before continuing with the actual batch effect correction (lines 8-14).
BERT measure batch effects before and after the correction step by means
of the average silhouette score (ASW) with respect to batch and labels
(lines 7 and 15). The ASW Label should increase in a successful batch
effect correction, whereas low values ( ≤ 0) are desireable for the ASW Batch3. Finally,
BERT prints the total function execution time (including the computation
time for the quality metrics).
BERT offers a large number of parameters to customize the batch effect adjustment. The full function call, including all defaults is
BERT(data, cores = NULL, combatmode = 1, corereduction=2, stopParBatches=2, backend="default", method="ComBat", qualitycontrol=TRUE, verify=TRUE, labelname="Label", batchname="Batch", referencename="Reference", samplename="Sample", covariatename=NULL, BPPARAM=NULL, assayname=NULL)
In the following, we list the respective meaning of each parameter: -
data
: The input dataframe/matrix/SummarizedExperiment to
adjust. See Data Preparation for
detailed formatting instructions. - data
The data for
batch-effect correction. Must contain at least two samples per batch and
2 features.
cores
: BERT uses BiocParallel
for parallelization. If the user specifies a value cores
,
BERT internally creates and uses a new instance of
BiocParallelParam
, which is however not exhibited to the
user. Setting this parameter can speed up the batch effect adjustment
considerably, in particular for large datasets and on unix-based
operating systems. A value between 2
and 4 is a reasonable choice for
typical commodity hardware. Multi-node computations are not supported as
of now. If, however, cores
is not specified, BERT will
default to BiocParallel::bpparam()
, which may have been set
by the user or the system. Additionally, the user can directly specify a
specific instance of BiocParallelParam
to be used via the
BPPARAM
argument.combatmode
An integer that encodes the parameters to
use for ComBat.Value | par.prior | mean.only |
---|---|---|
1 | TRUE | FALSE |
2 | TRUE | TRUE |
3 | FALSE | FALSE |
4 | FALSE | TRUE |
The value of this parameter will be ignored, if
method!="ComBat"
.
corereduction
Positive integer indicating the factor
by which the number of processes should be reduced, once no further
adjustment is possible for the current number of batches.4 This parameter is used
only, if the user specified a custom value for parameter
cores
.
stopParBatches
Positive integer indicating the
minimum number of batches required at a hierarchy level to proceed with
parallelized adjustment. If the number of batches is smaller, adjustment
will be performed sequentially to avoid communication
overheads.
backend
: The backend to use for inter-process
communication. Possible choices are default
and
file
, where the former refers to the default communication
backend of the requested parallelization mode and the latter will create
temporary .rds
files for data communication. ‘default’ is
usually faster for small to medium sized datasets.
method
: The method to use for the underlying batch
effect correction steps. Should be either ComBat
,
limma
for limma::removeBatchEffects
or
ref
for adjustment using specified references (cf. Data Preparation). The underlying batch
effect adjustment method for ref
is a modified version of
the limma
method.
qualitycontrol
: A boolean to (de)activate the ASW
computation. Deactivating the ASW computations accelerates the
computations.
verify
: A boolean to (de)activate the initial format
check of the input data. Deactivating this verification step accelerates
the computations.
labelname
: A string containing the name of the
column to use as class labels. The default is “Label”.
batchname
: A string containing the name of the
column to use as batch labels. The default is “Batch”.
referencename
: A string containing the name of the
column to use as reference labels. The default is “Reference”.
covariatename
: A vector containing the names of
columns with categorical covariables.The default is NULL, in which case
all column names are matched agains the pattern “Cov”.
BPPARAM
: An instance of
BiocParallelParam
that will be used for parallelization.
The default is null, in which case the value of cores
determines the behaviour of BERT.
assayname
: If the user chooses to pass a
SummarizedExperiment
object, they need to specify the name
of the assay that they want to apply BERT to here. BERT then returns the
input SummarizedExperiment
with an additional assay labeled
assayname_BERTcorrected
.
BERT utilizes the logging
package for output. The user
can easily specify the verbosity of BERT by setting the global logging
level in the script. For instance
BERT exhibits a large number of parameters for parallelisation as to provide users with maximum flexibility. For typical scenarios, however, the default parameters are well suited. For very large experiments ( > 15 batches), we recommend to increase the number of cores (a reasonable value is 4 but larger values may be possible on your hardware). Most users should leave all parameters to their respective default.
In the following, we present simple cookbook examples for BERT usage. Note that ASWs (and runtime) will most likely differ on your machine, since the data generating process involves multiple random choices.
Here, BERT uses limma as underlying batch effect correction algorithm
(method='limma'
) and performs all computations on a single
process (cores
parameter is left on default).
# import BERT
library(BERT)
# generate data with 30 batches, 60 features, 15 samples per batch, 15% missing values and 2 classes
dataset_raw <- generate_dataset(features=60, batches=20, samplesperbatch=15, mvstmt=0.15, classes=2)
# BERT
dataset_adjusted <- BERT(dataset_raw, method="limma")
#> 2025-02-28 07:05:18.303092 INFO::Formatting Data.
#> 2025-02-28 07:05:18.3036 INFO::Replacing NaNs with NAs.
#> 2025-02-28 07:05:18.304358 INFO::Removing potential empty rows and columns
#> 2025-02-28 07:05:18.306092 INFO::Found 2700 missing values.
#> 2025-02-28 07:05:18.324271 INFO::Introduced 0 missing values due to singular proteins at batch/covariate level.
#> 2025-02-28 07:05:18.324646 INFO::Done
#> 2025-02-28 07:05:18.325021 INFO::Acquiring quality metrics before batch effect correction.
#> 2025-02-28 07:05:18.332837 INFO::Starting hierarchical adjustment
#> 2025-02-28 07:05:18.333333 INFO::Found 20 batches.
#> 2025-02-28 07:05:18.333673 INFO::Cores argument is not defined or BPPARAM has been specified. Argument corereduction will not be used.
#> 2025-02-28 07:05:18.334083 INFO::Using default BPPARAM
#> 2025-02-28 07:05:18.334422 INFO::Processing subtree level 1
#> 2025-02-28 07:05:18.647633 INFO::Processing subtree level 2
#> 2025-02-28 07:05:18.946677 INFO::Processing subtree level 3
#> 2025-02-28 07:05:19.256489 INFO::Adjusting the last 1 batches sequentially
#> 2025-02-28 07:05:19.258234 INFO::Done
#> 2025-02-28 07:05:19.258724 INFO::Acquiring quality metrics after batch effect correction.
#> 2025-02-28 07:05:19.269151 INFO::ASW Batch was 0.476884899601833 prior to batch effect correction and is now -0.152987220699363 .
#> 2025-02-28 07:05:19.269592 INFO::ASW Label was 0.325605567235534 prior to batch effect correction and is now 0.785303041511127 .
#> 2025-02-28 07:05:19.270212 INFO::Total function execution time is 0.96719217300415 s and adjustment time is 0.924987554550171 s ( 95.64 )
Here, BERT uses ComBat as underlying batch effect correction
algorithm (method
is left on default) and performs all
computations on a 2 processes (cores=2
).
# import BERT
library(BERT)
# generate data with 30 batches, 60 features, 15 samples per batch, 15% missing values and 2 classes
dataset_raw <- generate_dataset(features=60, batches=20, samplesperbatch=15, mvstmt=0.15, classes=2)
# BERT
dataset_adjusted <- BERT(dataset_raw, cores=2)
#> 2025-02-28 07:05:19.295856 INFO::Formatting Data.
#> 2025-02-28 07:05:19.296398 INFO::Replacing NaNs with NAs.
#> 2025-02-28 07:05:19.297146 INFO::Removing potential empty rows and columns
#> 2025-02-28 07:05:19.298758 INFO::Found 2700 missing values.
#> 2025-02-28 07:05:19.317012 INFO::Introduced 0 missing values due to singular proteins at batch/covariate level.
#> 2025-02-28 07:05:19.317394 INFO::Done
#> 2025-02-28 07:05:19.31774 INFO::Acquiring quality metrics before batch effect correction.
#> 2025-02-28 07:05:19.325937 INFO::Starting hierarchical adjustment
#> 2025-02-28 07:05:19.326441 INFO::Found 20 batches.
#> 2025-02-28 07:05:19.827247 INFO::Set up parallel execution backend with 2 workers
#> 2025-02-28 07:05:19.828343 INFO::Processing subtree level 1 with 20 batches using 2 cores.
#> 2025-02-28 07:05:21.759526 INFO::Adjusting the last 2 batches sequentially
#> 2025-02-28 07:05:21.760543 INFO::Adjusting sequential tree level 1 with 2 batches
#> 2025-02-28 07:05:22.799623 INFO::Done
#> 2025-02-28 07:05:22.800094 INFO::Acquiring quality metrics after batch effect correction.
#> 2025-02-28 07:05:22.807284 INFO::ASW Batch was 0.460921474145384 prior to batch effect correction and is now -0.141553250480144 .
#> 2025-02-28 07:05:22.807628 INFO::ASW Label was 0.321144135754644 prior to batch effect correction and is now 0.848133169319522 .
#> 2025-02-28 07:05:22.808086 INFO::Total function execution time is 3.51231074333191 s and adjustment time is 3.47306108474731 s ( 98.88 )
Here, BERT takes the input data using a
SummarizedExperiment
instead. Batch effect correction is
then performed using ComBat as underlying algorithm (method
is left on default) and all computations are performed on a single
process (cores
parameter is left on default).
nrows <- 200
ncols <- 8
# SummarizedExperiments store samples in columns and features in rows (in contrast to BERT).
# BERT will automatically account for this.
expr_values <- matrix(runif(nrows * ncols, 1, 1e4), nrows)
# colData also takes further metadata information, such as Label, Sample,
# Reference or Covariables
colData <- data.frame("Batch"=c(1,1,1,1,2,2,2,2), "Label"=c(1,2,1,2,1,2,1,2), "Sample"=c(1,2,3,4,5,6,7,8))
dataset_raw = SummarizedExperiment::SummarizedExperiment(assays=list(expr=expr_values), colData=colData)
dataset_adjusted = BERT(dataset_raw, assayname = "expr")
#> 2025-02-28 07:05:22.843132 INFO::Formatting Data.
#> 2025-02-28 07:05:22.843592 INFO::Recognized SummarizedExperiment
#> 2025-02-28 07:05:22.843905 INFO::Typecasting input to dataframe.
#> 2025-02-28 07:05:22.86383 INFO::Replacing NaNs with NAs.
#> 2025-02-28 07:05:22.864534 INFO::Removing potential empty rows and columns
#> 2025-02-28 07:05:22.866558 INFO::Found 0 missing values.
#> 2025-02-28 07:05:22.87042 INFO::Introduced 0 missing values due to singular proteins at batch/covariate level.
#> 2025-02-28 07:05:22.870745 INFO::Done
#> 2025-02-28 07:05:22.871066 INFO::Acquiring quality metrics before batch effect correction.
#> 2025-02-28 07:05:22.873516 INFO::Starting hierarchical adjustment
#> 2025-02-28 07:05:22.873961 INFO::Found 2 batches.
#> 2025-02-28 07:05:22.874271 INFO::Cores argument is not defined or BPPARAM has been specified. Argument corereduction will not be used.
#> 2025-02-28 07:05:22.874612 INFO::Using default BPPARAM
#> 2025-02-28 07:05:22.874898 INFO::Adjusting the last 2 batches sequentially
#> 2025-02-28 07:05:22.875452 INFO::Adjusting sequential tree level 1 with 2 batches
#> 2025-02-28 07:05:22.909021 INFO::Done
#> 2025-02-28 07:05:22.909466 INFO::Acquiring quality metrics after batch effect correction.
#> 2025-02-28 07:05:22.9124 INFO::ASW Batch was 0.00565746401776073 prior to batch effect correction and is now -0.0851979186383523 .
#> 2025-02-28 07:05:22.912806 INFO::ASW Label was -0.00486800867426994 prior to batch effect correction and is now 0.0102896056050668 .
#> 2025-02-28 07:05:22.913364 INFO::Total function execution time is 0.0702228546142578 s and adjustment time is 0.0351474285125732 s ( 50.05 )
BERT can utilize categorical covariables that are specified in
columns Cov_1, Cov_2, ...
. These columns are automatically
detected and integrated into the batch effect correction process.
# import BERT
library(BERT)
# set seed for reproducibility
set.seed(1)
# generate data with 5 batches, 60 features, 30 samples per batch, 15% missing values and 2 classes
dataset_raw <- generate_dataset(features=60, batches=5, samplesperbatch=30, mvstmt=0.15, classes=2)
# create covariable column with 2 possible values, e.g. male/female condition
dataset_raw["Cov_1"] = sample(c(1,2), size=dim(dataset_raw)[1], replace=TRUE)
# BERT
dataset_adjusted <- BERT(dataset_raw)
#> 2025-02-28 07:05:22.935888 INFO::Formatting Data.
#> 2025-02-28 07:05:22.936399 INFO::Replacing NaNs with NAs.
#> 2025-02-28 07:05:22.937109 INFO::Removing potential empty rows and columns
#> 2025-02-28 07:05:22.938637 INFO::Found 1350 missing values.
#> 2025-02-28 07:05:22.93928 INFO::BERT requires at least 2 numeric values per batch/covariate level. This may reduce the number of adjustable features considerably, depending on the quantification technique.
#> 2025-02-28 07:05:22.971034 INFO::Introduced 0 missing values due to singular proteins at batch/covariate level.
#> 2025-02-28 07:05:22.971489 INFO::Done
#> 2025-02-28 07:05:22.971791 INFO::Acquiring quality metrics before batch effect correction.
#> 2025-02-28 07:05:22.974938 INFO::Starting hierarchical adjustment
#> 2025-02-28 07:05:22.975363 INFO::Found 5 batches.
#> 2025-02-28 07:05:22.975663 INFO::Cores argument is not defined or BPPARAM has been specified. Argument corereduction will not be used.
#> 2025-02-28 07:05:22.976029 INFO::Using default BPPARAM
#> 2025-02-28 07:05:22.976336 INFO::Processing subtree level 1
#> 2025-02-28 07:05:23.138969 INFO::Adjusting the last 2 batches sequentially
#> 2025-02-28 07:05:23.140505 INFO::Adjusting sequential tree level 1 with 2 batches
#> 2025-02-28 07:05:23.182359 INFO::Done
#> 2025-02-28 07:05:23.182916 INFO::Acquiring quality metrics after batch effect correction.
#> 2025-02-28 07:05:23.18665 INFO::ASW Batch was 0.492773245691086 prior to batch effect correction and is now -0.0377157224767566 .
#> 2025-02-28 07:05:23.187077 INFO::ASW Label was 0.40854766060101 prior to batch effect correction and is now 0.895560693013661 .
#> 2025-02-28 07:05:23.187648 INFO::Total function execution time is 0.251779079437256 s and adjustment time is 0.207047939300537 s ( 82.23 )
In rare cases, class distributions across experiments may be severely
skewed. In particular, a batch might contain classes that other batches
don’t contain. In these cases, samples of common conditions may serve as
references (bridges) between the batches
(method="ref"
). BERT utilizes those samples as references
that have a condition specified in the “Reference” column of the input.
All other samples are co-adjusted. Please note, that this strategy
implicitly uses limma as underlying batch effect correction
algorithm.
# import BERT
library(BERT)
# generate data with 4 batches, 6 features, 15 samples per batch, 15% missing values and 2 classes
dataset_raw <- generate_dataset(features=6, batches=4, samplesperbatch=15, mvstmt=0.15, classes=2)
# create reference column with default value 0. The 0 indicates, that the respective sample should be co-adjusted only.
dataset_raw[, "Reference"] <- 0
# randomly select 2 references per batch and class - in practice, this choice will be determined by external requirements (e.g. class known for only these samples)
batches <- unique(dataset_raw$Batch) # all the batches
for(b in batches){ # iterate over all batches
# references from class 1
ref_idx = sample(which((dataset_raw$Batch==b)&(dataset_raw$Label==1)), size=2, replace=FALSE)
dataset_raw[ref_idx, "Reference"] <- 1
# references from class 2
ref_idx = sample(which((dataset_raw$Batch==b)&(dataset_raw$Label==2)), size=2, replace=FALSE)
dataset_raw[ref_idx, "Reference"] <- 2
}
# BERT
dataset_adjusted <- BERT(dataset_raw, method="ref")
#> 2025-02-28 07:05:23.224037 INFO::Formatting Data.
#> 2025-02-28 07:05:23.22459 INFO::Replacing NaNs with NAs.
#> 2025-02-28 07:05:23.225237 INFO::Removing potential empty rows and columns
#> 2025-02-28 07:05:23.225974 INFO::Found 60 missing values.
#> 2025-02-28 07:05:23.228869 INFO::Introduced 0 missing values due to singular proteins at batch/covariate level.
#> 2025-02-28 07:05:23.229271 INFO::Done
#> 2025-02-28 07:05:23.229628 INFO::Acquiring quality metrics before batch effect correction.
#> 2025-02-28 07:05:23.231772 INFO::Starting hierarchical adjustment
#> 2025-02-28 07:05:23.232292 INFO::Found 4 batches.
#> 2025-02-28 07:05:23.232647 INFO::Cores argument is not defined or BPPARAM has been specified. Argument corereduction will not be used.
#> 2025-02-28 07:05:23.233105 INFO::Using default BPPARAM
#> 2025-02-28 07:05:23.233479 INFO::Processing subtree level 1
#> 2025-02-28 07:05:23.308564 INFO::Adjusting the last 2 batches sequentially
#> 2025-02-28 07:05:23.310099 INFO::Adjusting sequential tree level 1 with 2 batches
#> 2025-02-28 07:05:23.330261 INFO::Done
#> 2025-02-28 07:05:23.330746 INFO::Acquiring quality metrics after batch effect correction.
#> 2025-02-28 07:05:23.333049 INFO::ASW Batch was 0.440355021914032 prior to batch effect correction and is now -0.087480278736629 .
#> 2025-02-28 07:05:23.333488 INFO::ASW Label was 0.373906827748893 prior to batch effect correction and is now 0.919791677398366 .
#> 2025-02-28 07:05:23.334024 INFO::Total function execution time is 0.110060214996338 s and adjustment time is 0.09806227684021 s ( 89.1 )
Issues can be reported in the GitHub forum, the BioConductor forum or directly to the authors.
This code is published under the GPLv3.0 License and is available for non-commercial academic purposes.
Please cite our manuscript, if you use BERT for your research: Schumann Y, Gocke A, Neumann J (2024). Computational Methods for Data Integration and Imputation of Missing Values in Omics Datasets. PROTEOMICS. ISSN 1615-9861, doi:10.1002/pmic.202400100
sessionInfo()
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#> Platform: x86_64-pc-linux-gnu
#> Running under: Ubuntu 24.04.2 LTS
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#> BLAS: /usr/lib/x86_64-linux-gnu/openblas-pthread/libblas.so.3
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#> [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: Etc/UTC
#> tzcode source: system (glibc)
#>
#> attached base packages:
#> [1] stats graphics grDevices utils datasets methods base
#>
#> other attached packages:
#> [1] BERT_1.3.6 BiocStyle_2.35.0
#>
#> loaded via a namespace (and not attached):
#> [1] tidyselect_1.2.1 blob_1.2.4
#> [3] Biostrings_2.75.4 fastmap_1.2.0
#> [5] janitor_2.2.1 XML_3.99-0.18
#> [7] digest_0.6.37 timechange_0.3.0
#> [9] lifecycle_1.0.4 cluster_2.1.8
#> [11] statmod_1.5.0 survival_3.8-3
#> [13] KEGGREST_1.47.0 invgamma_1.1
#> [15] RSQLite_2.3.9 magrittr_2.0.3
#> [17] genefilter_1.89.0 compiler_4.4.2
#> [19] rlang_1.1.5 sass_0.4.9
#> [21] tools_4.4.2 yaml_2.3.10
#> [23] knitr_1.49 S4Arrays_1.7.3
#> [25] bit_4.5.0.1 DelayedArray_0.33.6
#> [27] abind_1.4-8 BiocParallel_1.41.2
#> [29] BiocGenerics_0.53.6 sys_3.4.3
#> [31] grid_4.4.2 stats4_4.4.2
#> [33] xtable_1.8-4 edgeR_4.5.2
#> [35] iterators_1.0.14 logging_0.10-108
#> [37] SummarizedExperiment_1.37.0 cli_3.6.4
#> [39] rmarkdown_2.29 crayon_1.5.3
#> [41] generics_0.1.3 httr_1.4.7
#> [43] DBI_1.2.3 cachem_1.1.0
#> [45] stringr_1.5.1 splines_4.4.2
#> [47] parallel_4.4.2 AnnotationDbi_1.69.0
#> [49] BiocManager_1.30.25 XVector_0.47.2
#> [51] matrixStats_1.5.0 vctrs_0.6.5
#> [53] Matrix_1.7-2 jsonlite_1.9.0
#> [55] sva_3.55.0 comprehenr_0.6.10
#> [57] IRanges_2.41.3 S4Vectors_0.45.4
#> [59] bit64_4.6.0-1 maketools_1.3.2
#> [61] locfit_1.5-9.11 foreach_1.5.2
#> [63] limma_3.63.5 jquerylib_0.1.4
#> [65] annotate_1.85.0 glue_1.8.0
#> [67] codetools_0.2-20 lubridate_1.9.4
#> [69] stringi_1.8.4 GenomeInfoDb_1.43.4
#> [71] GenomicRanges_1.59.1 UCSC.utils_1.3.1
#> [73] htmltools_0.5.8.1 GenomeInfoDbData_1.2.13
#> [75] R6_2.6.1 evaluate_1.0.3
#> [77] lattice_0.22-6 Biobase_2.67.0
#> [79] png_0.1-8 memoise_2.0.1
#> [81] snakecase_0.11.1 bslib_0.9.0
#> [83] SparseArray_1.7.6 nlme_3.1-167
#> [85] mgcv_1.9-1 xfun_0.51
#> [87] MatrixGenerics_1.19.1 buildtools_1.0.0
Matrices and SummarizedExperiments work as well, but will automatically be converted to dataframes.↩︎
In particular, the row and column names are in the same order and the optional columns are preserved.↩︎
The optimum of ASW Label is 1, which is typically however not achieved on real-world datasets. Also, the optimum of ASW Batch can vary, depending on the class distributions of the batches.↩︎
E.g. consider a BERT call with 8 batches and 8
processes. Further adjustment is not possible with this number of
processes, since batches are always processed in pairs. With
corereduction=2
, the number of processes for the following
adjustment steps would be set to 8/2 = 4, which is the maximum number of
usable processes for this example.↩︎