Convex Optimization: Examples of Convex Functions

This lecture covers various topics related to convex optimization, including multivariable linear regression, gradient descent, polynomial regression, coordinate descent, logit regression, and more. It explains the concept of convex sets, convex functions, and their properties, such as strict convexity and strong convexity. The lecture also delves into different types of convex functions, such as linear affine functions, exponential functions, quadratic forms, and norms. Additionally, it discusses convex optimization problems and the objective functions involved in such problems.