Beginner Topic 9 of 51 AI & Machine Learning
Logistic Regression
Linear model producing class probabilities.
How it works
Logistic regression is a classification model that passes a linear combination of features through the sigmoid function to produce a probability between 0 and 1, then thresholds it, often at 0.5, to choose a class. It is trained by minimizing the log loss, or maximizing likelihood, with gradient-based optimization. Coefficients relate to log-odds, and the multiclass generalization is softmax regression. Decision boundaries are linear in the feature space.
Step-by-step walkthrough
- Compute a weighted sum of the features.
- Pass it through the sigmoid, which squashes to between 0 and 1.
- The output is a class probability.
- Threshold at 0.5 to decide the class.
- It is a linear classifier trained with log loss.
Where it is used
Medical risk scoring, credit default prediction, click-through-rate estimation, spam filtering and a strong baseline for text classification use logistic regression.
Common pitfall
Despite its name it is a classifier. It assumes a linear decision boundary, so nonlinear patterns need feature engineering. Perfectly separable data makes the coefficients diverge without regularization. Class imbalance biases predictions, so adjust thresholds or weights. Predicted probabilities may be poorly calibrated. Standardize features, add L2 regularization and evaluate with proper metrics beyond accuracy.
Where it fits in the course
Logistic Regression is topic 9 of 51 in AI & Machine Learning, rated Beginner. It follows Linear Regression. The next topic is Decision Trees.
Practice and explore
- Open the interactive lesson, with a mini quiz.
- Take the AI & Machine Learning quiz.
How to study this topic
- Read the explanation above and restate the definition in your own words.
- Open the interactive lesson and answer its mini quiz.
- Read the common pitfall, then write a short example that avoids it.
- Check your understanding in the AI & Machine Learning quiz, and revisit the topic if you miss a question.
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Related topics
- Linear Regression (AI & Machine Learning)
- Decision Trees (AI & Machine Learning)
- Features and Labels (AI & Machine Learning)
- k-Nearest Neighbors (AI & Machine Learning)