An ensemble learning method for classification that operates by constructing a multitude of decision trees.
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Understanding Random Forest
Random Forest is an ensemble learning method that builds a "forest" of decision trees. For classification tasks, it outputs the class that is the mode of the classes (majority vote) of the individual trees. It's known for its high accuracy and ability to handle complex datasets.
Key Concepts:
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Ensemble Learning: Instead of relying on a single model, Random Forest combines predictions from multiple models (decision trees) to improve overall accuracy and robustness.
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Decision Trees: Each tree in the forest makes a prediction independently. A single decision tree creates axis-parallel splits, leading to rectangular decision regions.
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Randomness: Random Forest introduces randomness in two ways:
- Bagging (Bootstrap Aggregating): Each tree is trained on a random subset of the training data (with replacement).
- Feature Randomness: When splitting a node, each tree considers only a random subset of the available features. This decorrelates the trees.
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Decision Boundary: Unlike a single decision tree's sharp, rectangular boundaries, the Random Forest's decision boundary is the aggregated result of many trees. This often results in a smoother, more complex, and often non-linear boundary, as seen in the plot.
How this Visualization Works:
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Class 1 (Red Circles): These are your labeled data points belonging to Class 1.
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Class 0 (Blue Circles): These are your labeled data points belonging to Class 0.
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Test Point (Green 'x'): This is the new, unlabeled data point you want to classify. You can adjust its X1 and X2 coordinates.
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Colored Background: This represents the decision boundary of the trained Random Forest model.
- Red regions indicate areas where the Random Forest predicts Class 1.
- Blue regions indicate areas where the Random Forest predicts Class 0.
The smoothness and complexity of this boundary are a result of the ensemble nature of Random Forest.
*The plot will show the decision boundary by predicting the class for a grid of points covering the entire plot area. The color of each grid point reflects the predicted class, creating the background regions.*