Logistic Regression: Probability Modeling and Optimization

This lecture on logistic regression covers the modeling of binary classification problems using the logistic function to predict class probabilities. It explains the motivation behind logistic regression, the logistic function properties, label prediction, and the comparison with linear regression. The lecture delves into maximum likelihood estimation, the gradient of the negative log likelihood, convexity of the loss function, and optimization methods like gradient descent and Newton's method. It also addresses issues with linearly separable data and introduces regularization techniques to prevent overfitting.