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Introduction to Logistic Regression

Explore the core concepts of logistic regression, a discriminative model for binary classification. Understand how the sigmoid function maps inputs to probabilities, why binary cross-entropy is used as a loss function, and how logistic regression bridges linear models to probabilistic predictions. Gain practical insights by implementing logistic regression in Python using scikit-learn and learn how to interpret its outputs for classification tasks.

In the previous lesson, we established that a key goal of probabilistic models is to predict the target distribution p(yx)p(y|\mathbf{x}), which allows us to quantify uncertainty. We also learned that discriminative models achieve this by directly estimating p(yx)p(y|\mathbf{x}).

Logistic regression is the quintessential example of a discriminative model. It provides the most straightforward way to see the theory of p(yx)p(y|\mathbf{x}) estimation put into practice, especially for binary classification.

Logistic regression

Logistic regression is a discriminative model widely used for classification tasks. The term logistic in logistic regression refers to the utilization of the logistic function. Consider a binary classification problem: the target variable yiy_i ...