struct 1.10.0
The aim of this vignette is to use struct
to implement a small set of exemplar objects (i.e. class-based templates) that can be used to conduct exploratory and statistical analysis of a multivariate dataset (e.g. Metabolomics or other omics). A more extensive and advanced use of struct
templates is provided in the structToolbox
package, which included quality filters, normalisation, scaling, univariate and multivariate statistics and machine learning methods.
The latest version of struct
compatible with your current R version can be installed using BiocManager
.
# install BiocManager if not present
if (!requireNamespace("BiocManager", quietly = TRUE))
install.packages("BiocManager")
# install structToolbox and dependencies
BiocManager::install("struct")
# install ggplot if not already present
if (!require('ggplot2')) {
install.packages('ggplot2')
}
The ggplot2
package is also needed for this vignette.
suppressPackageStartupMessages({
# load the package
library(struct)
# load ggplot
library(ggplot2)
})
struct
helper functions‘struct’ provides a number of helper functions that can be used to create a new struct
object from the command line, or in a script:
set_struct_obj()
set_obj_method()
set_obj_show()
Examples of using these functions to create new struct
objects based on the provided templates are included in section 5.1.
To create a new struct object use the set_struct_obj()
function. There are several inputs which are described below.
class_name
struct_obj
params
outputs
params
, but for output slots.private
params
and outputs
but for slots that are used internally by the object and not intended for use by the user. These slots are only accessible using @.prototype
predicted
slot here to set the default output of the object.where
.GlobalEnv
Note that slots listed in params
and outputs
will be accessible using dollar syntax and are intended to be get/set by the user, while slots named in private
are only available internally to the developer.
All struct
objects have some default methods that are intended to be “overloaded” i.e. replaced to provide functionality specific to the new object being implemented. The helper function set_obj_method()
provides this functionality with the following inputs:
class_name
method_name
definition
signature
show
outputAll struct
objects have a default show
output, which prints the name
and description
for an object.
If you want to provide additional information when printing an object then you can overload the show
method using the set_obj_show()
function, which has the following inputs:
class_name
extra_string
:
class_name
object as input and outputs a stringThe string output from the extra_string
function will be appended to the default show
output.
struct
objectsstruct
provides S4 classes, which can be thought of as extendable templates, for a number of different types of objects. These objects are fundamental components of a data analysis workflow and include:
DatasetExperiment
objects
SummarizedExperiment
objects for holding data and meta datamodel
objects
model_seq
objects
iterator
objects
metric
objects
chart
objects
entity
objects
enum
objects
entity
objects but with a fixed set of allowed valuesEach of the templates has a similar structure and a number of template-specific methods defined. They have been designed with the development of data analysis workflows in mind and make it easy to incorporate new methods into the existing framework.
All struct
objects have a number of common fields or “slots”, which are defined in the base struct_class
object:
name
description
type
libraries
citations
citation
bibentry
formatontology
All struct
objects have a show
method defined which summarises the object.
S = struct_class()
S
## A "struct_class" object
## -----------------------
## name:
## description:
Slots can be set by including them as named inputs when the object is created.
S = struct_class(name = 'Example',
description = 'An example struct object')
S
## A "struct_class" object
## -----------------------
## name: Example
## description: An example struct object
Methods have also been defined so that the value for slots can be set and retrieved using dollar syntax.
# set the name
S$name = 'Basic example'
# get the name
S$name
## [1] "Basic example"
In addition to these publicly accessible slots two additional hidden, or internal, slots are defined. These slots are not intended for general access and therefore cannot be accessed using dollar syntax.
.params
model
, iterator
or chart
..outputs
model
or iterator
.Use of these slots will be covered in section 5 as they are only applicable when extending the base struct_class
template.
DatasetExperiment
objectsThe DatasetExperiment
object is an extension of SummarizedExperiment
. It is used to hold measured data and the relevant meta data, such as group labels or feature/variable annotations. All struct
objects expect the data to be in the DatasetExperiment
format, with samples in rows and variables/features in columns. As well as the default slots, DatasetExperiment
objects also have the following additional slots:
data
sample_meta
variable_meta
As for all struct
objects these slots, as well as the slots from the base class can be assigned during object creation.
DE = DatasetExperiment(
data = iris[,1:4],
sample_meta=iris[,5,drop=FALSE],
variable_meta=data.frame('idx'=1:4,row.names=colnames(data)),
name = "Fisher's iris dataset",
description = 'The famous one')
DE
## A "DatasetExperiment" object
## ----------------------------
## name: Fisher's iris dataset
## description: The famous one
## data: 150 rows x 4 columns
## sample_meta: 150 rows x 1 columns
## variable_meta: 4 rows x 1 columns
A formal version of the iris dataset is included in the struct
package.
DE = iris_DatasetExperiment()
DE
## A "DatasetExperiment" object
## ----------------------------
## name: Fisher's Iris dataset
## description: This famous (Fisher's or Anderson's) iris data set gives the measurements in centimeters of
## the variables sepal length and width and petal length and width,
## respectively, for 50 flowers from each of 3 species of iris. The species are
## Iris setosa, versicolor, and virginica.
## data: 150 rows x 4 columns
## sample_meta: 150 rows x 1 columns
## variable_meta: 4 rows x 1 columns
Because DatasetExperiment
extends SummarizedExperiment
it inherits functionality such as subsetting, nrow, ncol, etc.
# number of columns
ncol(DE)
## [1] 4
# number of rows
nrow(DE)
## [1] 150
# subset the 2nd and 3rd column
Ds = DE[,c(2,3)]
Ds
## A "DatasetExperiment" object
## ----------------------------
## name: Fisher's Iris dataset
## description: This famous (Fisher's or Anderson's) iris data set gives the measurements in centimeters of
## the variables sepal length and width and petal length and width,
## respectively, for 50 flowers from each of 3 species of iris. The species are
## Iris setosa, versicolor, and virginica.
## data: 150 rows x 2 columns
## sample_meta: 150 rows x 1 columns
## variable_meta: 2 rows x 1 columns
The slots are also accessible using dollar syntax.
# get data frame
head(DE$data)
## Sepal.Length Sepal.Width Petal.Length Petal.Width
## 1 5.1 3.5 1.4 0.2
## 2 4.9 3.0 1.4 0.2
## 3 4.7 3.2 1.3 0.2
## 4 4.6 3.1 1.5 0.2
## 5 5.0 3.6 1.4 0.2
## 6 5.4 3.9 1.7 0.4
# sample meta
head(DE$sample_meta)
## Species
## 1 setosa
## 2 setosa
## 3 setosa
## 4 setosa
## 5 setosa
## 6 setosa
Note that although technically it is possible to set data
, sample_meta
and variable_meta
using dollar syntax, it is usually better to create a new DatasetExperiment
and assign them during creation of the object due to the strict definition of a SummarizedExperiment
.
model
objectsModel objects are the most commonly used template as they are the main building block of data analysis workflows. They can be used to implement data processing methods for quality filtering, normalisation, and scaling, as well as methods for statistics and machine learning (e.g. classification, regression and clustering).
model
objects have three unique slots defined, but they are all related to model sequences, so they are discussed in detail in section 6.
model
objects also have four methods that are used to actually carry out the intended data analysis method.
model_train
DatasetExperiment
object.model_predict
DatasetExperiment
object e.g. a test set.model_apply
model_train
and model_predict
sequentially on the same input data (sometimes called autoprediction).model_reverse
model_apply
might subtract the mean, while model_reverse
adds the mean back again.For the base model
template these methods function only as placeholder; they should be defined as part of extending the template, as described in the next section.
Model objects also make use of the .params
and .outputs
slots of the base class to allow flexibility when extending the template, as shown in the next section.
model
templateThe model
object is intended as a template for creating new objects. In programming terms it is intended to be inherited by new objects derived from it. Methods have been defined so that they can be overloaded with new functionality.
In structToolbox
a number of model objects have been defined using setClass
and setMethod
, which is the preferred way to extend the templates in a package.
struct
also makes it possible to define new model
objects as you go, which we will demonstrate here. We will define two new objects, one for mean centring and one for Principal Component Analysis. More complete versions of these objects are available as part of the structToolbox
package.
The first step is to define the new model objects using the set_struct_object()
function (see section 3).
# mean centre object
mean_centre = set_struct_obj(
class_name = 'mean_centre',
struct_obj = 'model',
params = character(0),
outputs = c(centred = 'DatasetExperiment',
mean = 'numeric'),
private = character(0),
prototype=list(predicted = 'centred')
)
# PCA object
PCA = set_struct_obj(
class_name = 'PCA',
struct_obj = 'model',
params = c(number_components = 'numeric'),
outputs = c(scores = 'DatasetExperiment',
loadings = 'data.frame'),
private = character(0),
prototype = list(number_components = 2,
ontology = 'OBI:0200051',
predicted = 'scores')
)
The objects we have created (mean_centre
and PCA
) both extend the model
object template. mean_centre
is a fairly basic model with a single output slot centred
while the PCA object has inputs, outputs and sets a some default values.
The new objects can be initialised like other struct
, with named input parameter values.
M = mean_centre()
M
## A "mean_centre" object
## ----------------------
## name:
## description:
## outputs: centred, mean
## predicted: centred
## seq_in: data
P = PCA(number_components=4)
P
## A "PCA" object
## --------------
## name:
## description:
## input params: number_components
## outputs: scores, loadings
## predicted: scores
## seq_in: data
The new objects currently have the default methods, which need to be replaced using the either setMethod
or the helper function set_obj_method()
to provide the desired functionality.
We will need to define model_train
and model_predict
for both of our new objects. We will start with the mean_centre
object.
# mean centre training
set_obj_method(
class_name = 'mean_centre',
method_name = 'model_train',
definition = function(M,D) {
# calculate the mean of all training data columns
m = colMeans(D$data)
# assign to output slot
M$mean = m
# always return the modified model object
return(M)
}
)
# mean_centre prediction
set_obj_method(
class_name = 'mean_centre',
method_name = 'model_predict',
definition = function(M,D) {
# subtract the mean from each column of the test data
D$data = D$data - rep(M$mean, rep.int(nrow(D$data), ncol(D$data)))
# assign to output
M$centred = D
# always return the modified model object
return(M)
}
)
The mean_centre
object can now be used with DatasetExperiment
objects.
# create instance of object
M = mean_centre()
# train with iris data
M = model_train(M,iris_DatasetExperiment())
# print to mean to show the function worked
M$mean
## Sepal.Length Sepal.Width Petal.Length Petal.Width
## 5.843333 3.057333 3.758000 1.199333
# apply to iris_data
M = model_predict(M,iris_DatasetExperiment())
# retrieve the centred data and show that the column means are zero
colMeans(M$centred$data)
## Sepal.Length Sepal.Width Petal.Length Petal.Width
## -3.671137e-16 9.177844e-17 -3.256654e-17 -3.404684e-17
Now we define methods for the PCA object.
# PCA training
set_obj_method(
class_name = 'PCA',
method_name = 'model_train',
definition = function(M,D) {
# get number of components
A = M$number_components
# convert to matrix
X=as.matrix(D$data)
# do svd
model=svd(X,A,A)
# loadings
P=as.data.frame(model$v)
# prepare data.frame for output
varnames=rep('A',1,A)
for (i in 1:A) {
varnames[i]=paste0('PC',i)
}
rownames(P)=colnames(X)
colnames(P)=varnames
output_value(M,'loadings')=P
# set output
M$loadings = P
# always return the modified model object
return(M)
}
)
# PCA prediction
set_obj_method(
class_name = 'PCA',
method_name = 'model_predict',
definition = function(M,D) {
## calculate scores using loadings
# get number of components
A = M$number_components
# convert to matrix
X=as.matrix(D$data)
# get loadings
P=M$loadings
# calculate scores
that=X%*%as.matrix(P)
# convert scores to DatasetExperiment
that=as.data.frame(that)
rownames(that)=rownames(X)
varnames=rep('A',1,A)
for (i in 1:A) {
varnames[i]=paste0('PC',i)
}
colnames(that)=varnames
S=DatasetExperiment(
data=that,
sample_meta=D$sample_meta,
variable_meta=varnames)
# set output
M$scores=S
# always return the modified model object
return(M)
}
)
Like the mean_centre
object the PCA
object now has methods defined and can be used with DatasetExperiment
objects.
# get the mean centred data
DC = M$centred
# train PCA model
P = model_apply(P,DC)
# get scores
P$scores
## A "DatasetExperiment" object
## ----------------------------
## name:
## description:
## data: 150 rows x 4 columns
## sample_meta: 150 rows x 1 columns
## variable_meta: 4 rows x 1 columns
Note that because we defined model_train
and model_predict
for the PCA
object we didn’t need to explicitly define a model_apply
method as it defaults to applying model_train
and model_precict
sequentially. For some methods defining a model_apply
definition would be more appropriate (e.g. t-test) and model_train
and model_predict
left undefined.
model_seq
objectsModel sequences are a special kind of list defined by the struct
package. They can be created by symbolically “adding” models together to form a sequence. We will do that here using the mean_centre()
and PCA()
objects we created.
# create model sequence
MS = mean_centre() + PCA(number_components = 2)
# print summary
MS
## A model_seq object containing:
##
## [1]
## A "mean_centre" object
## ----------------------
## name:
## description:
## outputs: centred, mean
## predicted: centred
## seq_in: data
##
## [2]
## A "PCA" object
## --------------
## name:
## description:
## input params: number_components
## outputs: scores, loadings
## predicted: scores
## seq_in: data
The model_train
and model_predict
methods for model sequences will automatically pass data along the list of models. model_apply
works in the same way as for models and will use model_train
and model_predict
sequentially for the model sequence.
Unless specified the default output named in the ‘predicted’ slot of the object will be used as the data input for the next object in the sequence.
For the PCA example, the data is input into the mean_centre
object, mean centring is applied, and then the centred
output is used an input into the PCA
object to calculate the scores and loadings.
# apply model sequence to iris_data
MS = model_apply(MS,iris_DatasetExperiment())
# get default output from sequence (PCA scores with 2 components)
predicted(MS)
## A "DatasetExperiment" object
## ----------------------------
## name:
## description:
## data: 150 rows x 2 columns
## sample_meta: 150 rows x 1 columns
## variable_meta: 2 rows x 1 columns
To change the flow of data through a model sequence three slots can be set for each model:
predicted
seq_in
DatasetExperiment
object and uses it as input for model_train
and model_predict
.seq_fcn
seq_fcn
slot.There are examples of this advanced model sequence flow control in the vignettes of the structToolbox
package.
iterator
objectsIterator objects are similar to model
object templates in that they can be extended to have input parameters and outputs specified. They have some unique slots:
models
model
or model_seq
(model sequence) object. The iterator will call model_train
and model_predict
multiple times using this model.result
predicted
slot for model
objects and specifies the default output of the object. This is less useful than predicted
at this time as iterators
cannot be combined into a sequence (but this may be implemented in the future).iterator
objects are intended for resampling methods, where an input model is run multiple times by subsetting the data into training and test sets. Cross-validation and permutation tests are just two examples where iterator objects might be used.
The model to be run by the iterator can be get/set using the models
method.
# create iterator
I = iterator()
# add PCA model sequence
models(I) = MS
# retrieve model sequence
models(I)
## A model_seq object containing:
##
## [1]
## A "mean_centre" object
## ----------------------
## name:
## description:
## outputs: centred, mean
## predicted: centred
## seq_in: data
##
## [2]
## A "PCA" object
## --------------
## name:
## description:
## input params: number_components
## outputs: scores, loadings
## predicted: scores
## seq_in: data
Models can also be ‘nested’ within an iterator by symbolically multiplying them by a model
or model_seq
. The implication is that the iterator
will use the model
multiple times. This can be combined with the symbolic adding of models to create sequences.
# alternative to assign models for iterators
I = iterator() * (mean_centre() + PCA())
models(I)
## A model_seq object containing:
##
## [1]
## A "mean_centre" object
## ----------------------
## name:
## description:
## outputs: centred, mean
## predicted: centred
## seq_in: data
##
## [2]
## A "PCA" object
## --------------
## name:
## description:
## input params: number_components
## outputs: scores, loadings
## predicted: scores
## seq_in: data
It is also possible to nest iterators within iterators e.g. to create a ‘permuted cross_validation’ using a similar approach.
I = iterator() * iterator() * (mean_centre() + PCA())
A run
method is provided, which can be extended in a similar fashion to method_train
etc to implement the desired functionality. It is up to the developer to ensure that the iterator
can handle model
, model_seq
and iterator
objects as input and as such iterator
run methods can be quite complex. For brevity we do not demonstrate one here, but there are several examples in the structToolbox
package and the corresponding vignettes.
metric
objectsMetric objects calculate a scalar value by comparing true, known values to predicted outputs from a model, usually a classifier or a regression model. They are a required input for running iterators and may be calculated multiple times depending on the iterator
. Metrics have a single unique slot.
The calculate
method is provided for metric
object templates, which can be extended using the same approach as for model_train
etc. It takes three inputs:
M
Y
Yhat
The calculate
method can be called manually, but usually it is called by an iterator
during e.g. a cross-validation.
chart
objectsChart object templates are intended to produce a ggplot object from an input DatasetExperiment
, model
or iterator
. The template has no unique slots but includes a chart_plot
method to generate the ggplot object from the input object.
As a simple example we create a chart for plotting scores from the PCA object we created earlier. A more comprehensive pca_scores_plot
object is included in the structToolbox
as well several others for plotting the outputs of different methods.
We use the helper function set_struct_object()
to define the new chart object.
# new chart object
set_struct_obj(
class_name = 'pca_scores_plot',
struct_obj = 'chart',
params = c(factor_name = 'character'),
prototype = list(
name = 'PCA scores plot',
description = 'Scatter plot of the first two principal components',
libraries = 'ggplot2'
)
)
The chart_plot
method for our new object can then be replaced using the set_obj_method()
helper function.
# new chart_plot method
set_obj_method(
class_name = 'pca_scores_plot',
method_name = 'chart_plot',
signature = c('pca_scores_plot','PCA'),
definition = function(obj,dobj) {
if (!is(dobj,'PCA')) {
stop('this chart is only for PCA objects')
}
# get the PCA scores data
S = dobj$scores$data
# add the group labels
S$factor_name = dobj$scores$sample_meta[[obj$factor_name]]
# ggplot
g = ggplot(data = S, aes_string(x='PC1',y='PC2',colour='factor_name')) +
geom_point() + labs(colour = obj$factor_name)
# chart objects return the ggplot object
return(g)
}
)
Note that we set signature = c('pca_scores_plot', 'PCA')
to indicate that only PCA
objects should be accepted as the second input for this chart.
The new chart object is now ready to be used with PCA
objects.
# create chart object
C = pca_scores_plot(factor_name = 'Species')
# plot chart using trained PCA object from model sequence
chart_plot(C,MS[2]) + theme_bw() # add theme
entity
and enum
objectsThese struct
classes are used to make input params and outputs more informative and more flexible. The are not intednded to be an extendable template in the same way as model
objects.
By specifying the type or class of a slot as an entity
or enum
object you can provide additional information about the slot, such as a more informative name
and a description
. entity
and enum
slots have some unique slots:
value
max_length
allowed
enum
objects only. A list of allowed values for the input parameter / output.Both objects also make use of the type
slot to ensure the assigned value for a slot can only be of a certain class e.g. setting type = c('numeric', 'integer')
will not allow the parameter value to be set to a character.
The name
and description
slots can be useful e.g. in report writing for providing a standard definition of a parameter.
enitity
and enum
objects have methods for getting/setting all slots. They are designed to work seamlessly with dollar syntax in the same way you would access the value of any non-entity slot.
As an example the number_components
parameter for the PCA
object could be defined as an entity
object.
# define entity
npc = entity(
name = 'Number of principal components',
description = 'The number of principal components to calculate',
type = c('numeric','integer'),
value = 2,
max_length = 1
)
# summary
npc
## A "entity" object
## -----------------
## name: Number of principal components
## description: The number of principal components to calculate
## value: 2
## type: numeric, integer
## max length: 1
It can then be used with the set_struct_obj()
function when creating the PCA object by using “entity” as the input type for params
and including the entity object in the prototype
for the object. It will function exactly as it did before, but has the additional information (name
, description
, etc) attached as well.
# PCA object
PCA = set_struct_obj(
class_name = 'PCA',
struct_obj = 'model',
params = c(number_components = 'entity'),
outputs = c(scores = 'DatasetExperiment',
loadings = 'data.frame'),
private = character(0),
prototype = list(number_components = npc,
ontology = 'OBI:0200051',
predicted = 'scores')
)
# create PCA model
P = PCA(number_components = 3)
# get set value
P$number_components
## [1] 3
# get description
param_obj(P,'number_components')$description
## [1] "The number of principal components to calculate"
All struct
objects have an ontology
slot that can be assigned ontology term identifiers. struct
makes use of the rols
bioconductor package to access the Ontology lookup Service API and obtain names and definitions based on the provided identifiers.
P = PCA()
# return a list of ontologies for PCA, including the input parameters and outputs
ontology(P)
## An object of class "ontology_list"
## Slot "terms":
## [[1]]
## term id: OBI:0200051
## ontology: obi
## label: principal components analysis dimensionality reduction
## description: A principal components analysis dimensionality reduction is a dimensionality reduction
## achieved by applying principal components analysis and by keeping low-order principal
## components and excluding higher-order ones.
## iri: http://purl.obolibrary.org/obo/OBI_0200051
# return the ontology id'd for PCA only (not inputs/outputs)
P$ontology
## [1] "OBI:0200051"
# get the ontology for a specific input
IN = param_obj(P,'number_components') # get as entity object
IN$ontology
## character(0)
NOTE: in versions prior to v1.5.1 stato
classes were used. This has now been deprecated in favour of ontology
and will be removed in a future release.
sessionInfo()
## R version 4.2.1 (2022-06-23)
## Platform: x86_64-pc-linux-gnu (64-bit)
## Running under: Ubuntu 20.04.5 LTS
##
## Matrix products: default
## BLAS: /home/biocbuild/bbs-3.16-bioc/R/lib/libRblas.so
## LAPACK: /home/biocbuild/bbs-3.16-bioc/R/lib/libRlapack.so
##
## 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
##
## attached base packages:
## [1] stats graphics grDevices utils datasets methods base
##
## other attached packages:
## [1] ggplot2_3.3.6 struct_1.10.0 BiocStyle_2.26.0
##
## loaded via a namespace (and not attached):
## [1] Rcpp_1.0.9 lattice_0.20-45
## [3] prettyunits_1.1.1 assertthat_0.2.1
## [5] digest_0.6.30 utf8_1.2.2
## [7] R6_2.5.1 GenomeInfoDb_1.34.0
## [9] stats4_4.2.1 evaluate_0.17
## [11] httr_1.4.4 highr_0.9
## [13] pillar_1.8.1 progress_1.2.2
## [15] zlibbioc_1.44.0 rlang_1.0.6
## [17] curl_4.3.3 jquerylib_0.1.4
## [19] magick_2.7.3 S4Vectors_0.36.0
## [21] Matrix_1.5-1 rmarkdown_2.17
## [23] labeling_0.4.2 stringr_1.4.1
## [25] RCurl_1.98-1.9 munsell_0.5.0
## [27] DelayedArray_0.24.0 compiler_4.2.1
## [29] xfun_0.34 pkgconfig_2.0.3
## [31] BiocGenerics_0.44.0 htmltools_0.5.3
## [33] tidyselect_1.2.0 SummarizedExperiment_1.28.0
## [35] tibble_3.1.8 GenomeInfoDbData_1.2.9
## [37] bookdown_0.29 IRanges_2.32.0
## [39] matrixStats_0.62.0 fansi_1.0.3
## [41] crayon_1.5.2 dplyr_1.0.10
## [43] withr_2.5.0 bitops_1.0-7
## [45] grid_4.2.1 ontologyIndex_2.10
## [47] jsonlite_1.8.3 gtable_0.3.1
## [49] lifecycle_1.0.3 DBI_1.1.3
## [51] magrittr_2.0.3 scales_1.2.1
## [53] cli_3.4.1 stringi_1.7.8
## [55] cachem_1.0.6 farver_2.1.1
## [57] XVector_0.38.0 bslib_0.4.0
## [59] ellipsis_0.3.2 vctrs_0.5.0
## [61] generics_0.1.3 rols_2.26.0
## [63] tools_4.2.1 Biobase_2.58.0
## [65] glue_1.6.2 hms_1.1.2
## [67] MatrixGenerics_1.10.0 fastmap_1.1.0
## [69] yaml_2.3.6 colorspace_2.0-3
## [71] BiocManager_1.30.19 GenomicRanges_1.50.0
## [73] knitr_1.40 sass_0.4.2