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Decision Tree Algorithm (Learning AI from scratch : Part 33)

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Recap of Last Time and Today’s Topic

In the last session, we learned about logistic regression, which is used for binary classification problems. It helps predict outcomes such as whether a customer will make a purchase or whether an email is spam. Today, we’ll explore the decision tree algorithm, a method that uses a tree structure to classify data and make predictions. Decision trees are highly visual and intuitive, making them easy to understand. Let’s dive into how decision trees work and where they are applied.

What Is a Decision Tree?

Classifying Data Using a Tree Structure

The decision tree algorithm classifies or predicts data by splitting it into branches based on the values of different features. The tree structure starts with a root node, where data is initially split, and ends with leaf nodes, where classification or prediction outcomes are reached.

For instance, to predict whether a customer will purchase a product, the first split might be based on age. Then, the data might be split further based on income. Eventually, we arrive at the leaf nodes, which give the prediction of either “will purchase” or “won’t purchase.”

Splitting Criteria

Decision trees use criteria like Gini impurity and information gain to decide how to split the data at each node:

  • Gini impurity: Measures how mixed the classes are at a particular split. The goal is to minimize impurity, meaning the split should ideally result in groups that are as pure (homogeneous) as possible.
  • Information gain: Measures how much uncertainty (entropy) is reduced after the data is split. A higher information gain indicates a better split, as it reduces the uncertainty and leads to clearer classification.

These criteria help the decision tree make the most effective splits, improving the accuracy of predictions.

Building a Decision Tree

Data Preparation

The first step is preparing the data by cleaning it, handling missing values, encoding categorical variables, and standardizing the data. These preprocessing steps are essential for building an effective decision tree.

Tree Growth

Once the data is ready, the tree begins by splitting the data at the root node, based on the chosen splitting criterion. Each node splits further, forming branches, until all data is classified or the stopping criteria are met. This process continues until all data points are assigned to a class or a specific threshold is reached.

Pruning

When a decision tree grows too large, there’s a risk of overfitting—where the model becomes too tailored to the training data and performs poorly on new data. To prevent this, a process called pruning is applied. Pruning removes unnecessary branches from the tree, simplifying it while maintaining prediction accuracy.

Real-Life Example of Decision Trees

Everyday Decisions

The concept of a decision tree mirrors the decision-making processes we use in daily life. For example, deciding whether to eat out or stay home for dinner might depend on factors like the weather, time, and mood:

  • If the weather is nice, you may be more likely to eat out.
  • If it’s raining, you may prefer to stay home.

Just like this, a decision tree uses various factors to make the best decision.

Applications of Decision Tree Algorithms

Customer Classification

In marketing, decision trees are used to classify customers into specific segments based on purchasing behavior and demographics. This allows businesses to predict future purchases and tailor marketing strategies accordingly.

Medical Diagnosis

In healthcare, decision trees can help assess a patient’s risk of developing a certain disease based on symptoms and test results. This enables early diagnosis and more effective treatment planning.

Churn Prediction

Decision trees are also used to predict customer churn—the likelihood that a customer will stop using a service. Based on usage patterns and behaviors, decision trees can identify customers who are likely to leave, allowing companies to intervene early.

Advantages and Disadvantages of Decision Trees

Advantages

  • Easy to Interpret: Decision trees are highly visual and straightforward, making it easy to understand how the classification was made.
  • Handles Non-Linear Relationships: Decision trees can model complex, non-linear relationships in the data.
  • Minimal Preprocessing: Unlike other algorithms, decision trees don’t require extensive preprocessing, such as data standardization or encoding categorical variables.

Disadvantages

  • Risk of Overfitting: Without pruning, decision trees can grow too complex and overfit the training data, leading to poor performance on new data.
  • Limited Prediction Accuracy: On their own, decision trees may not achieve high prediction accuracy. This is why they are often combined with other models in ensemble learning to improve performance.

In the next session, we will explore Random Forest, a powerful ensemble learning technique that improves prediction accuracy by combining multiple decision trees. This method helps overcome the limitations of a single decision tree and enhances overall model performance.

Summary

The decision tree algorithm classifies and predicts data by splitting it into branches based on feature values, creating an intuitive, easy-to-interpret model. It’s effective for handling non-linear data and requires minimal preprocessing. However, it faces challenges such as overfitting and limited accuracy when used alone. Next time, we’ll dive into Random Forest, which enhances decision trees’ strengths while improving accuracy.


Notes

  • Gini impurity: A measure of how mixed the data is, with a lower impurity indicating more homogeneous groups.
  • Information gain: Measures how much uncertainty is reduced after splitting the data, with higher information gain leading to better splits.
  • Pruning: A technique used to simplify decision trees by removing unnecessary branches to prevent overfitting.
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