**Xgboost** is short for e**X**treme **G**radient **Boost**ing package.

The purpose of this Vignette is to show you how to use **Xgboost** to build a model and make predictions.

It is an efficient and scalable implementation of gradient boosting framework by J. Friedman et al. (2000) and J. H. Friedman (2001). Two solvers are included:

*linear*model ;*tree learning*algorithm.

It supports various objective functions, including *regression*, *classification* and *ranking*. The package is made to be extendible, so that users are also allowed to define their own objective functions easily.

It has been used to win several Kaggle competitions.

It has several features:

- Speed: it can automatically do parallel computation on
*Windows*and*Linux*, with*OpenMP*. It is generally over 10 times faster than the classical`gbm`

. - Input Type: it takes several types of input data:
*Dense*Matrix:*R*’s*dense*matrix, i.e.`matrix`

;*Sparse*Matrix:*R*’s*sparse*matrix, i.e.`Matrix::dgCMatrix`

;- Data File: local data files ;
`xgb.DMatrix`

: its own class (recommended).

- Sparsity: it accepts
*sparse*input for both*tree booster*and*linear booster*, and is optimized for*sparse*input ; - Customization: it supports customized objective functions and evaluation functions.

For weekly updated version (highly recommended), install from *Github*:

```
install.packages("drat", repos="https://cran.rstudio.com")
drat:::addRepo("dmlc")
install.packages("xgboost", repos="http://dmlc.ml/drat/", type = "source")
```

Windowsuser will need to install Rtools first.

The version 0.4-2 is on CRAN, and you can install it by:

`install.packages("xgboost")`

Formerly available versions can be obtained from the CRAN archive

For the purpose of this tutorial we will load **XGBoost** package.

`require(xgboost)`

In this example, we are aiming to predict whether a mushroom can be eaten or not (like in many tutorials, example data are the the same as you will use on in your every day life :-).

Mushroom data is cited from UCI Machine Learning Repository. Bache and Lichman (2013).

We will load the `agaricus`

datasets embedded with the package and will link them to variables.

The datasets are already split in:

`train`

: will be used to build the model ;`test`

: will be used to assess the quality of our model.

Why *split* the dataset in two parts?

In the first part we will build our model. In the second part we will want to test it and assess its quality. Without dividing the dataset we would test the model on the data which the algorithm have already seen.

```
data(agaricus.train, package='xgboost')
data(agaricus.test, package='xgboost')
train <- agaricus.train
test <- agaricus.test
```

In the real world, it would be up to you to make this division between

`train`

and`test`

data. The way to do it is out of the purpose of this article, however`caret`

package may help.

Each variable is a `list`

containing two things, `label`

and `data`

:

`str(train)`

```
## List of 2
## $ data :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
## .. ..@ i : int [1:143286] 2 6 8 11 18 20 21 24 28 32 ...
## .. ..@ p : int [1:127] 0 369 372 3306 5845 6489 6513 8380 8384 10991 ...
## .. ..@ Dim : int [1:2] 6513 126
## .. ..@ Dimnames:List of 2
## .. .. ..$ : NULL
## .. .. ..$ : chr [1:126] "cap-shape=bell" "cap-shape=conical" "cap-shape=convex" "cap-shape=flat" ...
## .. ..@ x : num [1:143286] 1 1 1 1 1 1 1 1 1 1 ...
## .. ..@ factors : list()
## $ label: num [1:6513] 1 0 0 1 0 0 0 1 0 0 ...
```

`label`

is the outcome of our dataset meaning it is the binary *classification* we will try to predict.

Let’s discover the dimensionality of our datasets.

`dim(train$data)`

`## [1] 6513 126`

`dim(test$data)`

`## [1] 1611 126`

This dataset is very small to not make the **R** package too heavy, however **XGBoost** is built to manage huge dataset very efficiently.

As seen below, the `data`

are stored in a `dgCMatrix`

which is a *sparse* matrix and `label`

vector is a `numeric`

vector (`{0,1}`

):

`class(train$data)[1]`

`## [1] "dgCMatrix"`

`class(train$label)`

`## [1] "numeric"`

This step is the most critical part of the process for the quality of our model.

We are using the `train`

data. As explained above, both `data`

and `label`

are stored in a `list`

.

In a *sparse* matrix, cells containing `0`

are not stored in memory. Therefore, in a dataset mainly made of `0`

, memory size is reduced. It is very usual to have such dataset.

We will train decision tree model using the following parameters:

`objective = "binary:logistic"`

: we will train a binary classification model ;`max_depth = 2`

: the trees won’t be deep, because our case is very simple ;`nthread = 2`

: the number of cpu threads we are going to use;`nrounds = 2`

: there will be two passes on the data, the second one will enhance the model by further reducing the difference between ground truth and prediction.

`bstSparse <- xgboost(data = train$data, label = train$label, max_depth = 2, eta = 1, nthread = 2, nrounds = 2, objective = "binary:logistic")`

```
## [1] train-error:0.046522
## [2] train-error:0.022263
```

More complex the relationship between your features and your

`label`

is, more passes you need.

Alternatively, you can put your dataset in a *dense* matrix, i.e. a basic **R** matrix.

`bstDense <- xgboost(data = as.matrix(train$data), label = train$label, max_depth = 2, eta = 1, nthread = 2, nrounds = 2, objective = "binary:logistic")`

```
## [1] train-error:0.046522
## [2] train-error:0.022263
```

**XGBoost** offers a way to group them in a `xgb.DMatrix`

. You can even add other meta data in it. It will be useful for the most advanced features we will discover later.

```
dtrain <- xgb.DMatrix(data = train$data, label = train$label)
bstDMatrix <- xgboost(data = dtrain, max_depth = 2, eta = 1, nthread = 2, nrounds = 2, objective = "binary:logistic")
```

```
## [1] train-error:0.046522
## [2] train-error:0.022263
```

**XGBoost** has several features to help you to view how the learning progress internally. The purpose is to help you to set the best parameters, which is the key of your model quality.

One of the simplest way to see the training progress is to set the `verbose`

option (see below for more advanced technics).

```
# verbose = 0, no message
bst <- xgboost(data = dtrain, max_depth = 2, eta = 1, nthread = 2, nrounds = 2, objective = "binary:logistic", verbose = 0)
```

```
# verbose = 1, print evaluation metric
bst <- xgboost(data = dtrain, max_depth = 2, eta = 1, nthread = 2, nrounds = 2, objective = "binary:logistic", verbose = 1)
```

```
## [1] train-error:0.046522
## [2] train-error:0.022263
```

```
# verbose = 2, also print information about tree
bst <- xgboost(data = dtrain, max_depth = 2, eta = 1, nthread = 2, nrounds = 2, objective = "binary:logistic", verbose = 2)
```

```
## [1] train-error:0.046522
## [2] train-error:0.022263
```

The purpose of the model we have built is to classify new data. As explained before, we will use the `test`

dataset for this step.

```
pred <- predict(bst, test$data)
# size of the prediction vector
print(length(pred))
```

`## [1] 1611`

```
# limit display of predictions to the first 10
print(head(pred))
```

`## [1] 0.28583017 0.92392391 0.28583017 0.28583017 0.05169873 0.92392391`

These numbers doesn’t look like *binary classification* `{0,1}`

. We need to perform a simple transformation before being able to use these results.

The only thing that **XGBoost** does is a *regression*. **XGBoost** is using `label`

vector to build its *regression* model.

How can we use a *regression* model to perform a binary classification?

If we think about the meaning of a regression applied to our data, the numbers we get are probabilities that a datum will be classified as `1`

. Therefore, we will set the rule that if this probability for a specific datum is `> 0.5`

then the observation is classified as `1`

(or `0`

otherwise).

```
prediction <- as.numeric(pred > 0.5)
print(head(prediction))
```

`## [1] 0 1 0 0 0 1`

To measure the model performance, we will compute a simple metric, the *average error*.

```
err <- mean(as.numeric(pred > 0.5) != test$label)
print(paste("test-error=", err))
```

`## [1] "test-error= 0.0217256362507759"`

Note that the algorithm has not seen the

`test`

data during the model construction.

Steps explanation:

`as.numeric(pred > 0.5)`

applies our rule that when the probability (<=> regression <=> prediction) is`> 0.5`

the observation is classified as`1`

and`0`

otherwise ;`probabilityVectorPreviouslyComputed != test$label`

computes the vector of error between true data and computed probabilities ;`mean(vectorOfErrors)`

computes the*average error*itself.

The most important thing to remember is that **to do a classification, you just do a regression to the** `label`

**and then apply a threshold**.

*Multiclass* classification works in a similar way.

This metric is **0.02** and is pretty low: our yummly mushroom model works well!

Most of the features below have been implemented to help you to improve your model by offering a better understanding of its content.

For the following advanced features, we need to put data in `xgb.DMatrix`

as explained above.

```
dtrain <- xgb.DMatrix(data = train$data, label=train$label)
dtest <- xgb.DMatrix(data = test$data, label=test$label)
```

Both `xgboost`

(simple) and `xgb.train`

(advanced) functions train models.

One of the special feature of `xgb.train`

is the capacity to follow the progress of the learning after each round. Because of the way boosting works, there is a time when having too many rounds lead to an overfitting. You can see this feature as a cousin of cross-validation method. The following techniques will help you to avoid overfitting or optimizing the learning time in stopping it as soon as possible.

One way to measure progress in learning of a model is to provide to **XGBoost** a second dataset already classified. Therefore it can learn on the first dataset and test its model on the second one. Some metrics are measured after each round during the learning.

in some way it is similar to what we have done above with the average error. The main difference is that below it was after building the model, and now it is during the construction that we measure errors.

For the purpose of this example, we use `watchlist`

parameter. It is a list of `xgb.DMatrix`

, each of them tagged with a name.

```
watchlist <- list(train=dtrain, test=dtest)
bst <- xgb.train(data=dtrain, max_depth=2, eta=1, nthread = 2, nrounds=2, watchlist=watchlist, objective = "binary:logistic")
```

```
## [1] train-error:0.046522 test-error:0.042831
## [2] train-error:0.022263 test-error:0.021726
```

**XGBoost** has computed at each round the same average error metric than seen above (we set `nrounds`

to 2, that is why we have two lines). Obviously, the `train-error`

number is related to the training dataset (the one the algorithm learns from) and the `test-error`

number to the test dataset.

Both training and test error related metrics are very similar, and in some way, it makes sense: what we have learned from the training dataset matches the observations from the test dataset.

If with your own dataset you have not such results, you should think about how you divided your dataset in training and test. May be there is something to fix. Again, `caret`

package may help.

For a better understanding of the learning progression, you may want to have some specific metric or even use multiple evaluation metrics.

`bst <- xgb.train(data=dtrain, max_depth=2, eta=1, nthread = 2, nrounds=2, watchlist=watchlist, eval_metric = "error", eval_metric = "logloss", objective = "binary:logistic")`

```
## [1] train-error:0.046522 train-logloss:0.233366 test-error:0.042831 test-logloss:0.226687
## [2] train-error:0.022263 train-logloss:0.136656 test-error:0.021726 test-logloss:0.137875
```

`eval_metric`

allows us to monitor two new metrics for each round,`logloss`

and`error`

.

Until now, all the learnings we have performed were based on boosting trees. **XGBoost** implements a second algorithm, based on linear boosting. The only difference with previous command is `booster = "gblinear"`

parameter (and removing `eta`

parameter).

`bst <- xgb.train(data=dtrain, booster = "gblinear", max_depth=2, nthread = 2, nrounds=2, watchlist=watchlist, eval_metric = "error", eval_metric = "logloss", objective = "binary:logistic")`

```
## [1] train-error:0.013051 train-logloss:0.191478 test-error:0.015518 test-logloss:0.195643
## [2] train-error:0.002917 train-logloss:0.083521 test-error:0.002483 test-logloss:0.086045
```

In this specific case, *linear boosting* gets sligtly better performance metrics than decision trees based algorithm.

In simple cases, it will happen because there is nothing better than a linear algorithm to catch a linear link. However, decision trees are much better to catch a non linear link between predictors and outcome. Because there is no silver bullet, we advise you to check both algorithms with your own datasets to have an idea of what to use.

Like saving models, `xgb.DMatrix`

object (which groups both dataset and outcome) can also be saved using `xgb.DMatrix.save`

function.

`xgb.DMatrix.save(dtrain, "dtrain.buffer")`

`## [1] TRUE`

```
# to load it in, simply call xgb.DMatrix
dtrain2 <- xgb.DMatrix("dtrain.buffer")
```

`## [21:33:50] 6513x126 matrix with 143286 entries loaded from dtrain.buffer`

`bst <- xgb.train(data=dtrain2, max_depth=2, eta=1, nthread = 2, nrounds=2, watchlist=watchlist, objective = "binary:logistic")`

```
## [1] train-error:0.046522 test-error:0.042831
## [2] train-error:0.022263 test-error:0.021726
```

Information can be extracted from `xgb.DMatrix`

using `getinfo`

function. Hereafter we will extract `label`

data.

```
label = getinfo(dtest, "label")
pred <- predict(bst, dtest)
err <- as.numeric(sum(as.integer(pred > 0.5) != label))/length(label)
print(paste("test-error=", err))
```

`## [1] "test-error= 0.0217256362507759"`

Feature importance is similar to R gbm package’s relative influence (rel.inf).

```
importance_matrix <- xgb.importance(model = bst)
print(importance_matrix)
xgb.plot.importance(importance_matrix = importance_matrix)
```

You can dump the tree you learned using `xgb.dump`

into a text file.

`xgb.dump(bst, with_stats = T)`

```
## [1] "booster[0]"
## [2] "0:[f28<-9.53674316e-07] yes=1,no=2,missing=1,gain=4000.53101,cover=1628.25"
## [3] "1:[f55<-9.53674316e-07] yes=3,no=4,missing=3,gain=1158.21204,cover=924.5"
## [4] "3:leaf=1.71217716,cover=812"
## [5] "4:leaf=-1.70044053,cover=112.5"
## [6] "2:[f108<-9.53674316e-07] yes=5,no=6,missing=5,gain=198.173828,cover=703.75"
## [7] "5:leaf=-1.94070864,cover=690.5"
## [8] "6:leaf=1.85964918,cover=13.25"
## [9] "booster[1]"
## [10] "0:[f59<-9.53674316e-07] yes=1,no=2,missing=1,gain=832.545044,cover=788.852051"
## [11] "1:[f28<-9.53674316e-07] yes=3,no=4,missing=3,gain=569.725098,cover=768.389709"
## [12] "3:leaf=0.78471756,cover=458.936859"
## [13] "4:leaf=-0.968530357,cover=309.45282"
## [14] "2:leaf=-6.23624468,cover=20.462389"
```

You can plot the trees from your model using ``xgb.plot.tree`

`xgb.plot.tree(model = bst)`

if you provide a path to

`fname`

parameter you can save the trees to your hard drive.

Maybe your dataset is big, and it takes time to train a model on it? May be you are not a big fan of losing time in redoing the same task again and again? In these very rare cases, you will want to save your model and load it when required.

Hopefully for you, **XGBoost** implements such functions.

```
# save model to binary local file
xgb.save(bst, "xgboost.model")
```

`## [1] TRUE`

`xgb.save`

function should return TRUE if everything goes well and crashes otherwise.

An interesting test to see how identical our saved model is to the original one would be to compare the two predictions.

```
# load binary model to R
bst2 <- xgb.load("xgboost.model")
pred2 <- predict(bst2, test$data)
# And now the test
print(paste("sum(abs(pred2-pred))=", sum(abs(pred2-pred))))
```

`## [1] "sum(abs(pred2-pred))= 0"`

result is

`0`

? We are good!

In some very specific cases, like when you want to pilot **XGBoost** from `caret`

package, you will want to save the model as a *R* binary vector. See below how to do it.

```
# save model to R's raw vector
rawVec <- xgb.save.raw(bst)
# print class
print(class(rawVec))
```

`## [1] "raw"`

```
# load binary model to R
bst3 <- xgb.load(rawVec)
pred3 <- predict(bst3, test$data)
# pred2 should be identical to pred
print(paste("sum(abs(pred3-pred))=", sum(abs(pred2-pred))))
```

`## [1] "sum(abs(pred3-pred))= 0"`

Again

`0`

? It seems that`XGBoost`

works pretty well!

Bache, K., and M. Lichman. 2013. “UCI Machine Learning Repository.” University of California, Irvine, School of Information; Computer Sciences. http://archive.ics.uci.edu/ml.

Friedman, Jerome H. 2001. “Greedy Function Approximation: A Gradient Boosting Machine.” *Annals of Statistics*. JSTOR, 1189–1232.

Friedman, Jerome, Trevor Hastie, Robert Tibshirani, and others. 2000. “Additive Logistic Regression: A Statistical View of Boosting (with Discussion and a Rejoinder by the Authors).” *The Annals of Statistics* 28 (2). Institute of Mathematical Statistics: 337–407.