Concept

Epigraph (mathematics)

Related lectures (5)

Introduces convex optimization, focusing on the importance of convexity in algorithms and optimization problems.

Explores epigraphs, convexity of bivariate functions, and log-sum-exp functions in convex optimization.

Introduces the fundamentals of convex optimization, emphasizing the significance of convex functions in simplifying the minimization process.

Convex Optimization: Gradient Flow

Explores convex optimization, emphasizing the importance of minimizing functions within a convex set and the significance of continuous processes in studying convergence rates.

Convex Functions: Theory and Applications

Introduces convex functions, covering affine, convex, and conic hulls, transformations, inequalities, and conditions for convexity.