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ExtraTrees | Commonly Used Bagging Models
Ensemble Learning
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Зміст курсу

Ensemble Learning

Ensemble Learning

1. Basic Principles of Building Ensemble Models
2. Commonly Used Bagging Models
3. Commonly Used Boosting Models
4. Commonly Used Stacking Models

ExtraTrees

Extra Trees, short for Extremely Randomized Trees, is a bagging ensemble learning technique that builds upon the concept of decision trees to create a more robust and diverse model.

How does ExtraTrees algorithm work?

It is a variation of the Random Forest algorithm but introduces even more randomness into the tree-building process:

  1. The extra trees algorithm, like the random forests algorithm, creates many decision trees, but the sampling for each tree is random, without replacement;
  2. A specific number of features from the total set of features is also selected randomly for each tree;
  3. Extra trees' most important and unique characteristic is the random selection of a splitting value for a feature. Instead of calculating a locally optimal value using Gini or entropy to split the data, the algorithm randomly selects a split value. This makes the trees diversified and uncorrelated.

    Note

    We can also use .feature_importances_ attribute to measure the features' impact on the model's result.

Example

We can use ExtraTrees in Python just like Random Forest using the ExtraTreesClassifier or ExtraTreesRegressor classes:

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# Import necessary libraries from sklearn.model_selection import train_test_split from sklearn.ensemble import ExtraTreesRegressor from sklearn.metrics import mean_squared_error import numpy as np # Generate example data with a more complex relationship np.random.seed(42) X = np.random.rand(100, 2) # 100 samples with 2 features y = 3*X[:, 0]**2 + 5*X[:, 1]**3 + np.random.normal(0, 2, 100) # Complex relationship with noise # Split the data into training and testing sets X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42) # Create and train the ExtraTreesRegressor regressor = ExtraTreesRegressor(n_estimators=100, random_state=42) regressor.fit(X_train, y_train) # Make predictions y_pred = regressor.predict(X_test) # Calculate Mean Squared Error (MSE) as the evaluation metric mse = mean_squared_error(y_test, y_pred) print(f'Mean Squared Error: {mse:.4f}') # Get feature importances feature_importances = regressor.feature_importances_ # Print feature importances print('Feature Importances:') for feature, importance in enumerate(feature_importances): print(f'Feature {feature}: {importance:.4f}')

In which of the ensembles are the base models more diverse and uncorrelated?

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