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CART Pruning

Process of reducing tree complexity by eliminating the least significant branches to avoid overfitting while minimizing validation error.

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Binary Splitting

Specific method in CART where each parent node is split into exactly two child nodes using the optimal splitting criterion.

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Complexity Parameter

Alpha coefficient in CART pruning that penalizes tree size, balancing model accuracy and simplicity.

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Maximal Tree

Fully developed decision tree without pruning, where each leaf contains observations of a single class or meets a predefined stopping criterion.

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Minimum Impurity

Predefined threshold in CART that stops splitting a node when impurity (Gini or variance) is below this value.

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Pruning Sequence

Ordered set of trees with decreasing complexity generated by CART, each being a pruned version of the previous one.

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Resubstitution Error

Error rate calculated on training data used by CART as a reference to evaluate the impact of each potential pruning.

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CART Optimization

Greedy algorithm that performs locally optimal splits at each node without guaranteeing global optimality of the final tree.

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CART Stability

Sensitivity of the CART algorithm to variations in the training data, which can lead to significantly different tree structures.

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Handling Missing Values

Specific CART approach that redirects observations with missing values to the most appropriate child node based on conditional probabilities.

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Class Weighting

Technique in CART to handle class imbalances by adjusting the weights in the calculation of the Gini index.

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V-fold Cross-Validation

Method used with CART to evaluate the performance of different pruning sequences and select the optimal tree.

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CART Decision Rule

Set of if-then logical conditions extracted from the path from the root to a leaf, interpretable and directly applicable for prediction.

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