Course: | STAT 31015=TTIC 31070, BUSN 36903, CAAM 31015, CMSC 35470 |
Title: | Mathematical Computation IIA: Convex Optimization |
Instructor(s): | Mihai Anitescu |
Teaching Assistant(s): | You-Lin Chen and Zhisheng Xiao |
Class Schedule: | Sec 01: MW 3:00 PM–4:20 PM in Saieh 203 |
Office Hours: | |
Textbook(s): | Boyd, Convex Optimization |
Description: | This course covers the fundamentals of convex optimization. Topics will include basic convex geometry and convex analysis, KKT condition, Fenchel and Lagrange duality theory; six standard convex optimization problems and their properties and applications: linear programming, geometric programming, second-order cone programming, semidefinite programming, linearly and quadratically constrained quadratic programming. In the last part of the course we will examine the generalized moment problem --- a powerful technique that allows one to encode a wide variety of problems (in probability, statistics, control theory, financial mathematics, signal processing, etc) and solve them or their relaxations as convex optimization problems. Prerequisite(s): STAT 30900/CMSC 37810 |