Introduction to polynomial optimization

Institution: University of California, Berkeley and Columbia University

Level: 1st year graduate students

Time: 3h (March 2018/Summer 2020)

Description: This introductory lecture provides a brief overview of the moment/sum-of-squares hierarchy for solving polynomial optimization problems to global optimality. Here is the material:

Lecture 1 slides video

Lecture 2 slides video

Lecture 3 slides video

Problem set

Solutions

Lower bound in red found using sum-of-squares.