CST 5020 Optimization and Applications, Spring 2025

Syllabus Textbook

Time: 9:50 - 12:15 on Thursdays

Location: E10-305 on Yungu campus

Website: https://chemaoxfz.github.io/opt_app

Discussion: Piazza, https://piazza.com/westlake.edu.cn/spring2025/cst5020

Submission: via Canvas


Background review

If you would like to review some of the background material, the following are some references that immediately come to my mind.

Appendix A, mathematical background, of our textbook, freely available here.

A textbook introducing linear algebra with an optimization perspective, from the same authors as our textbook, is also freely available here. A course using this textbook is EE263. The reading list of this course also has some background on matrices.

The “review aids” at the end of this course webpage. This is another good reference course on optimization with a more statistical and machine learning focus.


Schedule

Number Date Topic Materials Problem Sets
1 20250220 Why optimization, intro, convex sets Lecture 1 and 2 of Boyd’s 364a  
2 20250227 Convex functions, Convex optimization problems    
3 20250306 Duality    
4 20250313 Approximation and fitting    
5 20250320 Statistical estimation, geometric problems    
6 20250327 Unconstrained minimization    
7 20250403 Equality constrained minimization    
8 20250410 Interior point method    
9 20250417 Application: statistical and machine learning 1    
10 20250424 Application: statistical and machine learning 2    
11 20250501 Application: Control 1 - optimal control    
12 20250508 holiday? Application: Control 2 - distributed control, system level synthesis    
13 20250515 Application: bioengineering 1 - analysis and design of biocircuits    
14 20250522 Application: bioengineering 2 - metabolic networks, flux balance analysis, and flux exponent control    
15 20250529 Application: finance 1    
16 20250605 Application: finance 2    
17,18 20250612 Final exam week