Ensemble Techniques in Machine Learning
Ensemble Techniques in Machine Learning
Ensemble techniques in machine learning involve combining
multiple individual models to create a more powerful and accurate model. The
basic idea behind ensemble methods is that by combining the predictions of
multiple models, you can often achieve better performance than with a single
model. Ensembles are widely used in machine learning because they can improve
model robustness, reduce overfitting, and enhance predictive accuracy.
There are several popular ensemble techniques, including:
- Bagging
(Bootstrap Aggregating): Bagging involves training multiple instances of
the same model on different subsets of the training data, often with
replacement. The final prediction is obtained by averaging or taking a
majority vote of the predictions from these individual models. Random
Forest is a well-known ensemble method that uses bagging with decision
trees.
- Boosting:
Boosting methods focus on sequentially training a series of weak models
(models that are slightly better than random guessing) and giving more
weight to examples that are misclassified in previous iterations. Common
boosting algorithms include AdaBoost, Gradient Boosting, and XGBoost.
- Stacking:
Stacking combines the predictions of multiple models by training another
model (the meta-learner) on their outputs. The meta-learner learns to
weigh the predictions of the base models, effectively making a final
prediction based on their combined knowledge.
- Voting:
Voting ensembles combine the predictions of multiple models by taking a
majority vote (for classification tasks) or averaging (for regression
tasks) of their predictions. There are different types of voting, such as
hard voting and soft voting.
Ensemble methods are powerful because they leverage the
diversity of multiple models to mitigate their individual weaknesses. They can
improve generalization and performance, making them a valuable tool in machine
learning for a wide range of tasks. The choice of ensemble method and base
models often depends on the specific problem and data characteristics.
Ensemble techniques are used in machine learning for several
reasons:
- Improved
Predictive Performance: Ensemble methods can often achieve better
predictive accuracy than individual models. By combining multiple models,
the ensemble can leverage their diverse strengths, leading to more robust
and accurate predictions.
- Reduced
Overfitting: Ensembles can reduce the risk of overfitting, a common
problem in machine learning where a model performs well on the training
data but poorly on new, unseen data. By combining multiple models, the
ensemble is less likely to overfit because it averages out errors and
uncertainties in the individual models.
- Model
Robustness: Ensembles are more robust to noise and outliers in the data.
Outliers and noisy data points can have a disproportionate impact on a
single model, but an ensemble's aggregated decision-making can be less
sensitive to such data anomalies.
- Handling
Complex Relationships: Some problems involve intricate and nonlinear
relationships within the data. Ensembles can capture complex patterns by
combining simpler models and making it easier to model these
relationships.
- Versatility:
Ensemble methods can be applied to a wide range of machine learning
algorithms, making them versatile and applicable to various problem
domains, including classification, regression, and clustering.
- Model
Interpretability: Ensembles can sometimes provide better insights into
model predictions. For example, feature importance can be derived from
certain ensemble techniques like Random Forest, helping to understand
which features have the most influence on the predictions.
- Redundancy
Mitigation: By combining models that have different sources of error or
bias, ensemble methods can mitigate the impact of individual model
weaknesses. This can lead to more reliable and trustworthy predictions.
- Availability
of Diverse Models: With the increasing availability of various machine
learning algorithms and techniques, ensemble methods can take advantage of
these diverse models to improve overall performance.
Common ensemble methods like Bagging, Boosting, and Stacking
each offer their unique advantages and are applied in different scenarios based
on the characteristics of the data and the problem at hand. Ensemble techniques
are widely used in competitions, real-world applications, and research settings
to push the boundaries of machine learning performance.
Bagging
Bagging, which stands for Bootstrap Aggregating, is an
ensemble technique in machine learning. It involves creating multiple instances
of the same base model, training each instance on different subsets of the
training data, and then combining their predictions to make a final prediction.
Bagging is primarily used for improving the accuracy and robustness of machine
learning models, especially in the context of decision trees.
Here's how bagging works:
- Bootstrapping:
Bagging starts by generating multiple random subsets of the training data
through a process called bootstrapping. Bootstrapping involves randomly
selecting data points from the original training dataset with replacement.
This means that some data points may be included multiple times in a
subset, while others may be excluded altogether.
- Base
Model Training: For each of the generated subsets, a base model (typically
a decision tree) is trained independently on that specific subset of the
data. Each base model may learn different patterns or exhibit different
biases due to the randomness introduced by bootstrapping.
- Aggregation:
After training the base models, the final prediction is made by
aggregating their individual predictions. The aggregation process depends
on the type of problem:
- For
classification tasks, the final prediction can be determined by majority
voting. That is, the class that receives the most votes among the base
models is chosen as the ensemble's prediction.
- For
regression tasks, the final prediction can be obtained by averaging the
predictions of all base models.
One of the most popular ensemble methods that utilizes
bagging is the Random Forest algorithm. In a Random Forest, multiple decision
trees are trained using bagging, and the final prediction is made by
aggregating the results of these trees, typically using majority voting for
classification or averaging for regression.
The key benefits of bagging include reducing overfitting,
improving model stability, and enhancing predictive accuracy. By creating
diverse models from different subsets of the data, bagging helps in capturing a
broader range of patterns in the dataset and reduces the impact of outliers or
noise. It is a valuable technique in machine learning for building robust and
high-performing models.
Boosting
Boosting is another ensemble technique in machine learning,
but unlike bagging, which creates multiple models independently, boosting
builds a sequence of models sequentially, with each model giving more weight to
the examples that were misclassified by the previous ones. Boosting aims to
improve the accuracy of a base (weak) model by focusing on the data points that
are challenging to classify or predict.
Here's how boosting typically works:
- Train
the First Base Model: The boosting process begins by training the first
base model on the original training data. This base model is usually a
simple, weak learner, such as a decision stump (a one-level decision tree)
or a simple linear model.
- Calculate
the Weighted Error: After the first base model is trained, its predictions
are compared to the actual labels in the training data. Data points that
the model misclassifies are assigned higher weights, while correctly
classified data points receive lower weights. This weight adjustment
emphasizes the importance of the misclassified examples.
- Train
the Next Base Model: The second base model is trained on the same dataset,
but with the adjusted weights. It aims to correct the mistakes made by the
first model, focusing on the previously misclassified data points. This
process is repeated for a predefined number of iterations or until a
stopping criterion is met.
- Combine
Models' Predictions: The final prediction is obtained by combining the
predictions of all the base models, typically through weighted majority
voting for classification tasks or weighted averaging for regression
tasks. The weights assigned to each base model depend on its performance
in improving the overall accuracy.
Popular boosting algorithms include AdaBoost (Adaptive
Boosting), Gradient Boosting, XGBoost, and LightGBM. These algorithms differ in
the specific weight update rules and the base models they use, but they all
follow the general boosting concept of iteratively improving the model by
focusing on the difficult-to-predict examples.
Boosting can lead to very accurate models and is especially
useful when weak learners are combined into a strong ensemble. It is essential
to set the right number of iterations (boosting rounds) and learning rates to
avoid overfitting, as boosting models have the potential to become too complex
and fit the training data too closely.
Benefits of using ensemble techniques
Ensemble techniques offer several benefits when applied to
machine learning problems:
- Improved
Predictive Accuracy: One of the primary advantages of ensemble techniques
is their ability to improve the predictive accuracy of models. By
combining multiple models, ensembles can reduce errors and biases, leading
to more reliable and accurate predictions.
- Reduced
Overfitting: Ensembles are effective in mitigating overfitting, a common
problem in machine learning where a model performs well on the training
data but poorly on unseen data. Combining the predictions of diverse
models can help smooth out individual model errors and make the ensemble
more robust to overfitting.
- Model
Robustness: Ensembles are more robust to noise, outliers, and variations
in the data. Outliers or noisy data points are less likely to
disproportionately influence the final prediction because they are
averaged out or given less weight in ensemble methods.
- Enhanced
Generalization: Ensembles are excellent at capturing complex patterns and
relationships in the data, which can improve the model's generalization to
unseen data. This can lead to better performance on real-world
applications and datasets that are not perfectly clean.
- Handling
Diverse Data: Ensembles can handle diverse datasets and various types of
data, including structured and unstructured data, text, images, and more.
They can be applied to a wide range of machine learning tasks, including
classification, regression, clustering, and anomaly detection.
- Mitigation
of Model Biases: Combining models with different biases or weaknesses can
help reduce the impact of individual model biases, making the ensemble
more reliable and accurate.
- Model
Interpretability: Some ensemble techniques, like Random Forest, provide
feature importance scores that can help users understand which features
are most influential in making predictions. This can be valuable for
feature selection and model interpretation.
- Versatility:
Ensemble techniques can be used with a variety of base models, including
decision trees, linear models, neural networks, and more. This versatility
makes them applicable to a wide range of problems.
- State-of-the-Art
Performance: In many machine learning competitions and real-world
applications, ensemble methods have been used to achieve state-of-the-art
results, demonstrating their effectiveness in improving model performance.
- Flexibility:
Ensembles can be customized to meet the specific requirements of a
problem. You can choose different ensemble methods (e.g., bagging,
boosting, stacking) and experiment with various base models and
hyperparameters to find the best combination for your task.
Overall, ensemble techniques are a valuable tool in the machine learning toolbox, offering substantial advantages for improving the performance and reliability of models across a wide range of applications.
Working of Bootstrap
Bootstrap is a statistical resampling technique used to
estimate the sampling distribution of a statistic and make inferences about a
population or dataset without making strong parametric assumptions about the
data distribution. Here are the steps involved in the bootstrap process:
- Original
Data: Start with your original dataset, which contains 'n' data
points. This dataset represents your sample from the population of
interest.
- Resampling
with Replacement:
- Randomly
draw 'n' data points from the original dataset, with replacement. This
means that a data point can be selected more than once or not at all in
each resampled dataset. These resampled datasets are called
"bootstrap samples."
- Statistic
of Interest:
- Calculate
the statistic of interest (e.g., mean, median, variance, etc.) on each of
the bootstrap samples. This statistic could be the parameter you want to
estimate or test.
- Repeat
Resampling:
- Repeat
steps 2 and 3 a large number of times (typically thousands of times).
Each time, you create a new bootstrap sample and compute the statistic.
- Sampling
Distribution:
- As
a result of step 4, you obtain a distribution of the statistic. This
distribution is called the "bootstrap sampling distribution."
- Statistical
Inference:
- Use
the bootstrap sampling distribution to make inferences about the
population or dataset. Common inferences include estimating the
population parameter, constructing confidence intervals, and conducting
hypothesis tests.
- Confidence
Intervals:
- To
create a confidence interval for your statistic, you can determine the
percentiles of the bootstrap sampling distribution. For example, for a
95% confidence interval, you would use the 2.5th and 97.5th percentiles
of the distribution.
- Hypothesis
Testing:
- For
hypothesis testing, you can compare your observed statistic to the
distribution of the statistic obtained from bootstrapping. This helps you
assess the probability of obtaining your observed statistic under the
null hypothesis.
The bootstrap method is particularly valuable when dealing
with small sample sizes or non-normally distributed data. It provides a way to
estimate the variability of a statistic and make robust statistical inferences
without assuming specific population distributions. While the bootstrap
procedure is conceptually straightforward, its power lies in its ability to
approximate the sampling distribution of a statistic through resampling.
Project1 : A researcher wants to estimate the mean height
of a population of trees. They measure the height of a sample of 50 trees and
obtain a mean height of 15 meters and a standard deviation of 2 meters. Use
bootstrap to estimate the 95% confidence interval for the population mean
height.
To estimate the 95% confidence interval for the population
mean height using the bootstrap method, you can follow these steps:
- Original
Data: Start with your original sample of 50 tree heights, which has a
sample mean of 15 meters and a sample standard deviation of 2 meters.
- Bootstrap
Resampling:
- Randomly
draw 50 tree heights from the original sample with replacement to create
a bootstrap sample.
- Repeat
this resampling process a large number of times (e.g., 10,000 times) to
generate a distribution of sample means.
- Calculate
Bootstrap Sample Means:
- For
each bootstrap sample, calculate the sample mean of tree heights.
- Bootstrap
Sampling Distribution:
- You
now have a distribution of sample means, which represents the bootstrap
sampling distribution of the sample mean height.
- Calculate
Confidence Interval:
- To
calculate the 95% confidence interval for the population mean height,
find the 2.5th and 97.5th percentiles of the bootstrap sampling
distribution. These percentiles will give you the lower and upper bounds
of the confidence interval.
Here's the Python code to perform this bootstrap analysis
using a sample dataset with NumPy:
import numpy as np
# Original sample data
original_data = np.array([15.0] * 50) # Sample mean of 15 meters
num_bootstrap_samples = 10000 # Number of bootstrap samples
# Initialize an array to store bootstrap sample means
bootstrap_sample_means = []
# Perform the bootstrap resampling
for _ in range(num_bootstrap_samples):
bootstrap_sample =
np.random.choice(original_data, size=50, replace=True)
bootstrap_sample_mean
= np.mean(bootstrap_sample)
bootstrap_sample_means.append(bootstrap_sample_mean)
# Calculate the 95% confidence interval
lower_percentile = np.percentile(bootstrap_sample_means,
2.5)
upper_percentile = np.percentile(bootstrap_sample_means,
97.5)
# Display the confidence interval
print(f"95% Confidence Interval for Population Mean
Height: ({lower_percentile:.2f}, {upper_percentile:.2f}) meters")
This code simulates the bootstrap resampling process and
calculates the 95% confidence interval for the population mean height. The
confidence interval gives you a range within which you can be 95% confident
that the true population mean height falls.
Real-World Application: Land Cover Classification in Satellite Imagery
Problem: Remote sensing data often involve satellite
images of the Earth's surface, which are used for various purposes, including
urban planning, environmental monitoring, agriculture, and disaster management.
One critical task is classifying the land cover within these images, such as
identifying different types of vegetation, water bodies, urban areas, and more.
How Bagging is Applied:
- Data
Collection: Satellite imagery is collected using satellites and
divided into smaller image patches. Each patch corresponds to a particular
geographic region and contains a mix of land cover types.
- Feature
Extraction: Features are extracted from each image patch. These
features can include colour information, texture, vegetation indices, and
more. These features are used as input data for the classification model.
- Bagging
Ensemble: Bagging is applied by training an ensemble of base
classifiers, typically decision trees or random forests, to classify land
cover in the image patches. Each base classifier is trained on a different
bootstrap sample of the data, introducing randomness and diversity.
- Majority
Voting: The classification results of the individual base classifiers
are aggregated using majority voting. For each image patch, the final
prediction is determined by the most predicted land cover class among the
base classifiers.
Advantages:
- Improved
Accuracy: Bagging helps improve the accuracy of land cover
classification by reducing overfitting and providing a more robust
prediction.
- Robustness:
The ensemble is less sensitive to noise and variations in the satellite
imagery, making it more reliable for practical applications.
- Generalization:
By combining the predictions of multiple base classifiers, the bagging
ensemble is better at generalizing to unseen areas or time periods.
Challenges:
- Computational
Resources: Processing large satellite image datasets and training an
ensemble of classifiers can be computationally intensive.
- Hyperparameter
Tuning: Proper configuration and hyperparameter tuning of the ensemble
are essential for optimal performance.
- Interpretability:
The ensemble's final prediction may be less interpretable than that of
individual models, but its accuracy often compensates for this limitation.
This application of bagging demonstrates how the technique
can improve the accuracy and robustness of machine learning models when dealing
with real-world, large-scale remote sensing data. It is just one of many
practical applications of bagging in machine learning.
A Random Forest Regressor is a machine learning algorithm
used for regression tasks. It is an extension of the Random Forest algorithm,
which is primarily designed for classification tasks. The Random Forest
Regressor is used to predict a continuous numerical output (i.e., a target
variable) based on a set of input features.
Here's how the Random Forest Regressor works:
- Ensemble
of Decision Trees: Like the Random Forest for classification, a Random
Forest Regressor is an ensemble of decision trees. It consists of a
collection of individual decision trees, where each tree is a base model.
- Bootstrap
Aggregating (Bagging): The Random Forest Regressor uses a technique
called bagging (Bootstrap Aggregating) to build multiple decision trees.
It creates multiple bootstrap samples (randomly selected subsets of the
training data with replacement) and trains a decision tree on each of
these subsets.
- Prediction:
To make a prediction, the Random Forest Regressor aggregates the
predictions of all the individual decision trees. In the case of
regression, this aggregation is done by calculating the average (mean) of
the predictions from all the trees. This average becomes the final
prediction for the Random Forest Regressor.
- Random
Feature Selection: In addition to using bootstrapping for data
sampling, Random Forest Regressors also introduce randomness during the
tree construction process. For each node split in a decision tree, only a
random subset of the available features is considered. This random feature
selection helps increase diversity among the trees and reduces the risk of
overfitting.
The Random Forest Regressor has several advantages,
including the ability to handle complex, non-linear relationships in the data,
resistance to overfitting, and robustness against noisy data. It is a versatile
algorithm that can be applied to various regression tasks, such as predicting
housing prices, stock prices, or any other continuous numerical variable.
Random Forest Regressors are commonly used in practical
machine learning applications due to their strong predictive performance and
ease of use. They are also less sensitive to hyperparameters compared to some
other algorithms, making them a good choice for regression tasks where
fine-tuning might be challenging.
Hyperparameters of Random Forest Regressor
The Random Forest Regressor has several hyperparameters that
allow you to control its behaviour and performance. Here are some of the most
important hyperparameters of a Random Forest Regressor:
- n_estimators:
This hyperparameter determines the number of decision trees in the random
forest ensemble. Increasing the number of trees can improve model
performance, but it also increases computational complexity. A common
practice is to choose a value that provides a good trade-off between
performance and efficiency.
- max_depth:
The maximum depth of each individual decision tree in the ensemble.
Controlling the depth can help prevent overfitting. If this value is set
to None, the decision trees are expanded until they contain less
than min_samples_split samples.
- min_samples_split:
The minimum number of samples required to split an internal node.
Increasing this value can prevent overfitting by imposing a constraint on
the minimum size of nodes during tree growth.
- min_samples_leaf:
The minimum number of samples required to be in a leaf node. Similar
to min_samples_split, increasing this value can help control
overfitting.
- max_features:
This hyperparameter determines the maximum number of features that are
considered at each split. You can set it as an integer, a float (which
represents a fraction of total features), or 'auto' (sqrt(n_features)).
- bootstrap:
A Boolean value that determines whether or not the random forest uses
bootstrapping (random sampling with replacement) to create training
datasets for individual trees.
- oob_score:
If set to True, the out-of-bag (OOB) error estimate is calculated.
OOB error provides a measure of the model's performance without the need
for a separate validation set.
- criterion:
The function used to measure the quality of a split in each decision tree.
For regression, the default is 'mse' (mean squared error), but you can
also use 'mae' (mean absolute error).
- random_state:
A random seed or an integer that ensures reproducibility. Setting this
parameter to a specific value makes the random forest produce the same
results when trained multiple times.
- n_jobs:
The number of CPU cores to use for parallel computation. Setting it to -1
utilizes all available CPU cores.
- verbose:
Controls the verbosity of the model. You can set it to 0 (silent), 1
(minimal output), or higher values for more detailed information during
training.
- warm_start:
If set to True, you can incrementally train the random forest. It
allows you to add more trees to the existing model without retraining the
entire ensemble.
These hyperparameters provide control over the size,
complexity, and behaviour of the random forest ensemble. The choice of
hyperparameters should be based on the specific characteristics of the dataset
and the problem you are addressing. Hyperparameter tuning, often performed
through techniques like grid search or random search, can help identify the
optimal settings for your particular regression task.
Build a Machine Learning Pipeline
This pipeline that automates feature engineering, handles
missing values, and uses a Random Forest Classifier as the final model. This
example will walk you through the steps and include code snippets for each part
of the pipeline.
Let's break it down:
- Automated
Feature Selection:
- Use
an automated feature selection method like Recursive Feature Elimination
(RFE) with a Random Forest Classifier to identify important features in
the dataset. The code snippet below demonstrates how to perform feature
selection:
from sklearn.feature_selection import RFE
from sklearn.ensemble import RandomForestClassifier
# Initialize the RFE feature selector
feature_selector = RFE(estimator=RandomForestClassifier(n_estimators=100,
random_state=42), n_features_to_select=10)
# Fit the feature selector on your training data
selected_features = feature_selector.fit(X_train,
y_train)
# Use the selected features for both training and test
data
X_train_selected = selected_features.transform(X_train)
X_test_selected = selected_features.transform(X_test)
- Numerical
Pipeline:
- Create
a numerical pipeline to impute missing values using the mean of the
column values and scale the numerical columns using standardization.
from sklearn.pipeline import Pipeline
from sklearn.impute import SimpleImputer
from sklearn.preprocessing import StandardScaler
# Define the numerical pipeline
numerical_pipeline = Pipeline([
('imputer', SimpleImputer(strategy='mean')),
('scaler', StandardScaler())
])
# Fit and transform the training data using the numerical
pipeline
X_train_numerical = numerical_pipeline.fit_transform(X_train)
X_test_numerical = numerical_pipeline.transform(X_test)
- Categorical
Pipeline:
- Create
a categorical pipeline to impute missing values in categorical columns
using the most frequent value and perform one-hot encoding.
from sklearn.preprocessing import OneHotEncoder
# Define the categorical pipeline
categorical_pipeline = Pipeline([
('imputer', SimpleImputer(strategy='most_frequent')),
('encoder', OneHotEncoder(handle_unknown='ignore'))
])
# Fit and transform the training data using the
categorical pipeline
X_train_categorical = categorical_pipeline.fit_transform(X_train_categorical)
X_test_categorical = categorical_pipeline.transform(X_test_categorical)
- ColumnTransformer:
- Use ColumnTransformer to
combine the numerical and categorical pipelines into a single feature
matrix.
from sklearn.compose import ColumnTransformer
# Specify which columns are numerical and which are
categorical
numerical_features = [...] # List of column names or indices
categorical_features = [...] # List of column names or indices
# Create the ColumnTransformer
preprocessor = ColumnTransformer(
transformers=[
('num', numerical_pipeline,
numerical_features),
('cat', categorical_pipeline,
categorical_features)
])
- Random
Forest Classifier:
- Build
a Random Forest Classifier as the final model using the preprocessed
data.
from sklearn.ensemble import RandomForestClassifier
# Create the Random Forest Classifier model
rf_classifier = RandomForestClassifier(n_estimators=100,
random_state=42)
# Fit the model to the preprocessed training data
rf_classifier.fit(X_train, y_train)
# Make predictions on the test data
y_pred = rf_classifier.predict(X_test)
- Evaluation:
- Evaluate
the accuracy of the model on the test dataset and print the results.
from sklearn.metrics import accuracy_score
# Calculate the accuracy on the test dataset
accuracy = accuracy_score(y_test, y_pred)
print("Accuracy on the test dataset:", accuracy)
Interpretation: The pipeline automates feature
selection, handles missing values, preprocesses numerical and categorical
features separately, and builds a Random Forest Classifier. The final model's
accuracy is evaluated on the test dataset.
Build a pipeline that includes both a Random Forest Classifier and a Logistic Regression Classifier, and then combines their predictions using a Voting Classifier, you can use the following code snippet. We'll use the Iris dataset as an example for demonstration. Make sure you have the necessary libraries (scikit-learn) installed.
from sklearn.datasets import load_iris
from sklearn.ensemble import RandomForestClassifier,
VotingClassifier
from sklearn.linear_model import LogisticRegression
from sklearn.model_selection import train_test_split
from sklearn.metrics import accuracy_score
# Load the Iris dataset
data = load_iris()
X, y = data.data, data.target
# Split the dataset into training and test sets
X_train, X_test, y_train, y_test = train_test_split(X,
y, test_size=0.2, random_state=42)
# Create individual classifiers
rf_classifier = RandomForestClassifier(n_estimators=100,
random_state=42)
lr_classifier = LogisticRegression(max_iter=1000)
# Create a Voting Classifier that combines the two
classifiers
voting_classifier = VotingClassifier(estimators=[('rf',
rf_classifier), ('lr', lr_classifier)], voting='hard')
# Train the ensemble model on the training data
voting_classifier.fit(X_train, y_train)
# Make predictions on the test data
y_pred = voting_classifier.predict(X_test)
# Evaluate accuracy
accuracy = accuracy_score(y_test, y_pred)
print("Accuracy of the Voting Classifier:", accuracy)
In this code:
- We
load the Iris dataset and split it into training and test sets.
- We
create two individual classifiers: a Random Forest Classifier (rf_classifier)
and a Logistic Regression Classifier (lr_classifier).
- We
create a Voting Classifier (voting_classifier) that combines the
predictions of both classifiers using majority voting (voting='hard').
- We
train the ensemble model on the training data and evaluate its accuracy on
the test data.
You can adapt this code to your specific dataset and
classification task by replacing the dataset and classifier configurations. The
Voting Classifier allows you to leverage the strengths of different algorithms
for improved classification performance.
Labels: Ada Boost, Bagging, Bootstrap, Ensemble Techniques, RandomForest, Regression, XGBoost