How does a decision tree algorithm work?

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A decision tree algorithm is a supervised machine learning method used for classification and regression tasks. It works by splitting data into branches based on feature values, forming a tree-like structure where each internal node represents a condition, each branch represents an outcome, and each leaf node represents a final prediction.

How it works step by step:

  1. Root Node Selection

    • The algorithm starts at the root with the entire dataset.

    • It decides which feature and threshold best splits the data into groups that are as “pure” as possible (i.e., containing mostly one class).

  2. Splitting Criteria

    • Common metrics:

      • Gini Impurity → Measures how mixed the classes are.

      • Entropy/Information Gain → Measures the reduction in uncertainty after the split.

      • Variance Reduction → Used for regression trees.

  3. Recursive Partitioning

    • The dataset is split into subsets, and the process repeats recursively for each child node.

    • This continues until a stopping condition is met (e.g., maximum depth, minimum samples per node, or perfectly pure leaves).

  4. Leaf Nodes

    • Each terminal node (leaf) represents a final prediction:

      • For classification → the majority class in that node.

      • For regression → the average value of samples in that node.

Advantages

  • Easy to interpret and visualize.

  • Handles both numerical and categorical data.

  • Requires little preprocessing.

Limitations

  • Can overfit if not pruned (tree grows too deep).

  • Sensitive to small data changes.

  • Often outperformed by ensemble methods (e.g., Random Forest, XGBoost).

👉 In short: A decision tree asks a sequence of yes/no questions based on features until it reaches a decision at the leaf node.

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