Convex Optimisation
Organisers
Tom Berrett and Yi Yu
Time
1-2pm on Thursdays in Term 1, 2022-23, starting from 13 Oct.
Venue
Term 1: Room MB2.22 (2nd floor, MSB)
Term 2: Room MB2.23 (2nd floor, MSB)
Format
In-person
Convex optimisation reading group
Materials
Lecture notes from Cambridge
- Introduction (Presenter: Fan Wang. Date: 13 Oct.)
- Review of convexity (Part 1. Presenter: Zilong Xie. Date: 20 Oct. Part 2. Presenter: Mengchu Li. Date: 27 Oct.)
- Gradient method (Presenter: Mengchu Li. Date: 27 Oct.)
- Lower complexity bounds (Presenter: Guglielmo Gattiglio. Date: 3 Nov)
- Fast gradient method (Presenter: Alexander Kent. Date: 10 Nov)
- Subgradients (Presenter: Alberto Bordino. Date: 17 Nov)
- Subgradients method (Presenter: Shiqi Liu. Date: 24 Nov)
- Constrained optimisation and duality (Presenter: Rui Feng. Date: 1 Dec)
- Duality and KKT conditions (Presenter: Gengyu Xue. Date: 8 Dec)
- Projections and projected (sub)gradient methods (Presenter: Shiqi Liu. Date: 19 Jan)
- Proximal methods (Presenter: Alberto Bordino. Date: 26 Jan)
- Bregman proximal methods (Presenter: Alexander Kent. Date: 2 Feb)
- Dual methods (Presenter: Tom Berrett. Date: 9 Feb)
- ADMM (Presenter: Mengchu Li. Date: 16 Feb)
- Douglas--Rachford (Presenter: Zilong Xie. Date 23 Feb)
- Newton's method (1) (2) (Presenter: Rui Feng. Date: 2 Mar)
- Conic programming (Presenter: Gengyu Xue. Date: 9 Mar)
- SDP (Presenter: Fan Wang. Date: 16 Mar)
- Duality in conic programming (1) (2)
(Subject to change.)
References
- Lecture notes from CMU
- Lecture notes from MIT
- Rockafellar, R. T. (1970). Convex analysis (Vol. 18). Princeton university press. (Ebooks available from library.)