The R package mixgb provides a scalable approach for multiple imputation by leveraging XGBoost, subsampling and predictive mean matching. We have shown that our method can yield less biased estimates and reflect appropriate imputation variability, while achieving high computational efficiency. For further information, please refer to our paper Multiple Imputation Through XGBoost.
Yongshi Deng & Thomas Lumley. (2023), Multiple Imputation Through XGBoost, Journal of Computational and Graphical Statistics, 33(2), 352-363. DOI: 10.1080/10618600.2023.2252501.
Tianqi Chen & Carlos Guestrin. (2016), XGBoost: A Scalable Tree Boosting System, In 22nd SIGKDD Conference on Knowledge Discovery and Data Mining.
New Release: Nov 2024
New CRAN version 1.5.2. A lot faster than 1.0.2!
Some visual diagnostic functions have been moved to the vismi
package, which provides a wide range of visualisation tools for
multiple imputation. For more details, please check the vismi
package on GitHub Visualisation Tools for Multiple
Imputation.
Nov 2023
New version of the mixgb()
function has been optimized to greatly
reduce imputation time for large datasets.
mixgb(>=1.4.2) is compatible with both XGBoost(>=2.0.0) and XGBoost(CRAN version).
Oct 2023
# Change the file path where you saved the downloaded XGBoost package
install.packages("path_to_downloaded_file/xgboost_r_gpu_win64_2.0.0.tar.gz", repos = NULL)
devtools::install_github("agnesdeng/mixgb")
library(mixgb)
If you prefer to use the CRAN version of XGBoost, consider using an earlier version of mixgb (versions \<1.3.1).
Now compatible with XGBoost 2.0.0! To align with XGBoost 2.0.0,
mixgb introduces new parameter device
and removed
parametersgpu_id
and predictor
. Also, tree_method="hist"
by
default.
mixgb(device="cpu", tree_method="hist",.....)
mixgb(device="cuda", tree_method="hist",.....)
Now support saving imputation models in a local directory in JSON format.
May 2023
Now mixgb(data,...)
support a dataset with the following data types:
- numeric
- integer
- factor
- logical
Please note that variables of character
type need to be manually
converted to factor by users before imputation.
January 2023
Our package has changed from using bootstrapping to subsampling with a
default setting of subsample = 0.7
. This decision is based on the
discovery that although bootstrapping is generally effectively, it can
introduce bias in certain scenarios. As a result, subsampling has been
adopted as the default approach.
May 2022
April 2022
maxit
parameter.m
imputations is optional. Users can
set bootstrap = FALSE
to disable bootstrap. Users can also set
sampling-related hyperparameters of XGBoost (subsample
,
colsample_bytree
, colsample_bylevel
, colsample_bynode
) to be
less than 1 to achieve a similar effect.pmm.type
are
NULL
,0
,1
,2
or "auto"
(type 2 for numeric/integer variables,
no PMM for categorical variables).data.table
.mixgb_cv()
to pre-tune nrounds
by cross-validation.You can install the development version of mixgb from GitHub with:
# install.packages("devtools")
devtools::install_github("agnesdeng/mixgb")
# load mixgb
library(mixgb)
It is highly recommended to clean and check your data before imputation. Here are some common issues:
NA
not NaN
Inf
or -Inf
are not allowedNA
or sensible valuesThe function data_clean()
serves the purpose of performing a
preliminary check and fix some evident issues. However, the function
cannot resolve all data quality-related problems.
cleanWithNA.df <- data_clean(rawdata)
mixgb
We first load the mixgb
package and the nhanes3_newborn
dataset,
which contains 16 variables of various types
(integer/numeric/factor/ordinal factor). There are 9 variables with
missing values.
str(nhanes3_newborn)
#> tibble [2,107 × 16] (S3: tbl_df/tbl/data.frame)
#> $ HSHSIZER: int [1:2107] 4 3 5 4 4 3 5 3 3 3 ...
#> $ HSAGEIR : int [1:2107] 2 5 10 10 8 3 10 7 2 7 ...
#> $ HSSEX : Factor w/ 2 levels "1","2": 2 1 2 2 1 1 2 2 2 1 ...
#> $ DMARACER: Factor w/ 3 levels "1","2","3": 1 1 2 1 1 1 2 1 2 2 ...
#> $ DMAETHNR: Factor w/ 3 levels "1","2","3": 3 1 3 3 3 3 3 3 3 3 ...
#> $ DMARETHN: Factor w/ 4 levels "1","2","3","4": 1 3 2 1 1 1 2 1 2 2 ...
#> $ BMPHEAD : num [1:2107] 39.3 45.4 43.9 45.8 44.9 42.2 45.8 NA 40.2 44.5 ...
#> ..- attr(*, "label")= chr "Head circumference (cm)"
#> $ BMPRECUM: num [1:2107] 59.5 69.2 69.8 73.8 69 61.7 74.8 NA 64.5 70.2 ...
#> ..- attr(*, "label")= chr "Recumbent length (cm)"
#> $ BMPSB1 : num [1:2107] 8.2 13 6 8 8.2 9.4 5.2 NA 7 5.9 ...
#> ..- attr(*, "label")= chr "First subscapular skinfold (mm)"
#> $ BMPSB2 : num [1:2107] 8 13 5.6 10 7.8 8.4 5.2 NA 7 5.4 ...
#> ..- attr(*, "label")= chr "Second subscapular skinfold (mm)"
#> $ BMPTR1 : num [1:2107] 9 15.6 7 16.4 9.8 9.6 5.8 NA 11 6.8 ...
#> ..- attr(*, "label")= chr "First triceps skinfold (mm)"
#> $ BMPTR2 : num [1:2107] 9.4 14 8.2 12 8.8 8.2 6.6 NA 10.9 7.6 ...
#> ..- attr(*, "label")= chr "Second triceps skinfold (mm)"
#> $ BMPWT : num [1:2107] 6.35 9.45 7.15 10.7 9.35 7.15 8.35 NA 7.35 8.65 ...
#> ..- attr(*, "label")= chr "Weight (kg)"
#> $ DMPPIR : num [1:2107] 3.186 1.269 0.416 2.063 1.464 ...
#> ..- attr(*, "label")= chr "Poverty income ratio"
#> $ HFF1 : Factor w/ 2 levels "1","2": 2 2 1 1 1 2 2 1 2 1 ...
#> $ HYD1 : Ord.factor w/ 5 levels "1"<"2"<"3"<"4"<..: 1 3 1 1 1 1 1 1 2 1 ...
colSums(is.na(nhanes3_newborn))
#> HSHSIZER HSAGEIR HSSEX DMARACER DMAETHNR DMARETHN BMPHEAD BMPRECUM
#> 0 0 0 0 0 0 124 114
#> BMPSB1 BMPSB2 BMPTR1 BMPTR2 BMPWT DMPPIR HFF1 HYD1
#> 161 169 124 167 117 192 7 0
To impute this dataset, we can use the default settings. The default
number of imputed datasets is m = 5
. Note that we do not need to
convert our data into dgCMatrix or one-hot coding format. Our package
will automatically convert it for you. Variables should be of the
following types: numeric, integer, factor or ordinal factor.
# use mixgb with default settings
imputed.data <- mixgb(data = nhanes3_newborn, m = 5)
We can also customize imputation settings:
The number of imputed datasets m
The number of imputation iterations maxit
XGBoost hyperparameters and verbose settings. xgb.params
, nrounds
,
early_stopping_rounds
, print_every_n
and verbose
.
Subsampling ratio. By default, subsample = 0.7
. Users can change
this value under the xgb.params
argument.
Predictive mean matching settings pmm.type
, pmm.k
and pmm.link
.
Whether ordinal factors should be converted to integer (imputation
process may be faster) ordinalAsInteger
Whether or not to use bootstrapping bootstrap
Initial imputation methods for different types of variables
initial.num
, initial.int
and initial.fac
.
Whether to save models for imputing newdata save.models
and
save.vars
.
# Use mixgb with chosen settings
params <- list(
max_depth = 5,
subsample = 0.9,
nthread = 2,
tree_method = "hist"
)
imputed.data <- mixgb(
data = nhanes3_newborn, m = 10, maxit = 2,
ordinalAsInteger = FALSE, bootstrap = FALSE,
pmm.type = "auto", pmm.k = 5, pmm.link = "prob",
initial.num = "normal", initial.int = "mode", initial.fac = "mode",
save.models = FALSE, save.vars = NULL,
xgb.params = params, nrounds = 200, early_stopping_rounds = 10, print_every_n = 10L, verbose = 0
)
Imputation performance can be affected by the hyperparameter settings.
Although tuning a large set of hyperparameters may appear intimidating,
it is often possible to narrowing down the search space because many
hyperparameters are correlated. In our package, the function
mixgb_cv()
can be used to tune the number of boosting rounds -
nrounds
. There is no default nrounds
value in XGBoost,
so users
are required to specify this value themselves. The default nrounds
in
mixgb()
is 100. However, we recommend using mixgb_cv()
to find the
optimal nrounds
first.
params <- list(max_depth = 3, subsample = 0.7, nthread = 2)
cv.results <- mixgb_cv(data = nhanes3_newborn, nrounds = 100, xgb.params = params, verbose = FALSE)
cv.results$response
#> [1] "BMPWT"
cv.results$best.nrounds
#> [1] 19
By default, mixgb_cv()
will randomly choose an incomplete variable as
the response and build an XGBoost model with other variables as
explanatory variables using the complete cases of the dataset.
Therefore, each run of mixgb_cv()
will likely return different
results. Users can also specify the response and covariates in the
argument response
and select_features
respectively.
cv.results <- mixgb_cv(
data = nhanes3_newborn, nfold = 10, nrounds = 100, early_stopping_rounds = 1,
response = "BMPHEAD", select_features = c("HSAGEIR", "HSSEX", "DMARETHN", "BMPRECUM", "BMPSB1", "BMPSB2", "BMPTR1", "BMPTR2", "BMPWT"), xgb.params = params, verbose = FALSE
)
cv.results$best.nrounds
#> [1] 23
Let us just try setting nrounds = cv.results$best.nrounds
in mixgb()
to obtain 5 imputed datasets.
imputed.data <- mixgb(data = nhanes3_newborn, m = 5, nrounds = cv.results$best.nrounds)
It is crucial to assess the plausibility of imputations before doing an analysis.
The mixgb
package used to provide a few visual diagnostics functions.
However, we have moved these functions to the vismi
package, which
provides a wide range of visualisation tools for multiple imputation.
For more details, please check the vismi
package on GitHub
Visualisation Tools for Multiple
Imputation.
To demonstrate how to impute new data using a saved imputer, we first
split the nhanes3_newborn
dataset into training data and test data.
set.seed(2022)
n <- nrow(nhanes3)
idx <- sample(1:n, size = round(0.7 * n), replace = FALSE)
train.data <- nhanes3[idx, ]
test.data <- nhanes3[-idx, ]
Next we impute the training data using mixgb()
. We can use the
training data to generate m
imputed datasets and save their imputation
models. To achieve this, users need to set save.models = TRUE
. By
default, imputation models for all variables with missing values in the
training data will be saved (save.vars = NULL
). However, it is
possible that unseen data may have missing values in other variables. To
be thorough, users can save models for all variables by setting
save.vars = colnames(train.data)
. Note that this may take
significantly longer as it requires training and saving a model for each
variable. In cases where users are confident that only certain variables
will have missing values in the new data, it is advisable to specify the
names or indices of these variables in save.vars
rather than saving
models for all variables.
To save the imputer object, users need to specify a local directory in
the parameter save.models.folder
in the main function mixgb()
.
Models will be save as JSON format by calling xgb.save()
internally.
Saving XGBoost models in this way instead of using saveRDS
in R is
recommended by XGBoost. This can ensure that the imputation models can
still be used in later release of XGBoost.
# obtain m imputed datasets for train.data and save imputation models
mixgb.obj <- mixgb(data = train.data, m = 5, save.models = TRUE, save.models.folder = "C:/Users/.....")
saveRDS(object = mixgb.obj, file = "C:/Users/.../mixgbimputer.rds")
If users specify the save.models.folder
, the return object will
include the following:
imputed.data
: a list of m
imputed datasets for training data
XGB.models
: a list of directories of m
sets of XGBoost models for
variables specified in save.vars
.
params
: a list of parameters that are required for imputing new data
using impute_new()
later on.
XGB.save
: a parameter indicates whether XGB.models
are the saved
models or the directories for the saved models.
As the mixgb.obj
does not contain the models themselves, users need
not worry about saving this object via saveRDS()
. For later use, one
can load the object into R and impute new data.
To impute new data with this saved imputer object, we can use the
impute_new()
function.
mixgb.obj <- readRDS(file = "C:/Users/.../mixgbimputer.rds")
test.imputed <- impute_new(object = mixgb.obj, newdata = test.data)
Users can choose whether to use new data for initial imputation. By
default, the information of training data is used to initially impute
the missing data in the new dataset (initial.newdata = FALSE
). After
this, the missing values in the new dataset will be imputed using the
saved models from the imputer object. This process will be considerably
faster because it does not involve rebuilding the imputation models.
test.imputed <- impute_new(object = mixgb.obj, newdata = test.data)
If PMM is used in mixgb()
, predicted values of missing entries in the
new dataset will be matched with donors from the training data.
Additionally, users can set the number of donors to be used in PMM when
imputing new data. The default setting pmm.k = NULL
indicates that the
same setting as the training object will be used.
Similarly, users can set the number of imputed datasets m
in
impute_new()
. Note that this value has to be less than or equal to the
m
value specified in mixgb()
. If this value is not specified, the
function will use the same m
value as the saved object.
test.imputed <- impute_new(object = mixgb.obj, newdata = test.data, initial.newdata = FALSE, pmm.k = 3, m = 4)
mixgb
with GPU supportMultiple imputation can be run with GPU support for machines with NVIDIA
GPUs. Users must first install the R package xgboost
with GPU support.
Please download the Newest version of XGBoost with GPU support via XGBoost GitHub Releases.
# Change the file path where you saved the downloaded XGBoost package
install.packages("path_to_downloaded_file/xgboost_r_gpu_win64_2.0.0.tar.gz", repos = NULL)
Then users can install the newest version of our package mixgb
in R.
devtools::install_github("agnesdeng/mixgb")
library(mixgb)
To utilize the GPU version of mixgb(), users can simply specify
device = "cuda"
in the params list which will then be passed to the
xgb.params
argument in the function mixgb()
. Note that by default,
tree_method = "hist"
from XGBoost 2.0.0.
params <- list(
device = "cuda",
subsample = 0.7,
nthread = 1,
tree_method = "hist"
)
mixgb.data <- mixgb(data = withNA.df, m = 5, xgb.params = params)
The xgboost
R package pre-built binary on Linux x86_64 with GPU
support can be downloaded from the release page
https://github.com/dmlc/xgboost/releases/tag/v1.4.0
The package can then be installed by running the following commands:
# Install dependencies
$ R -q -e "install.packages(c('data.table', 'jsonlite'))"
# Install XGBoost
$ R CMD INSTALL ./xgboost_r_gpu_linux.tar.gz
Then users can install package mixgb
in R.
devtools::install_github("agnesdeng/mixgb")
library(mixgb)
To utilize the GPU version of mixgb(), users can simply specify
tree_method = "gpu_hist"
in the params list which will then be passed
to the xgb.params
argument in the function mixgb()
. Other adjustable
GPU-related arguments include gpu_id
and predictor
. By default,
gpu_id = 0
and predictor = "auto"
.
params <- list(
max_depth = 3,
subsample = 0.7,
nthread = 1,
tree_method = "gpu_hist",
gpu_id = 0,
predictor = "auto"
)
mixgb.data <- mixgb(data = withNA.df, m = 5, xgb.params = params)