Information Package / Course Catalogue
| Course Code | : MTK547 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 8 |
The aim of this course is to develop, analyze and solve optimization problems on manifolds by applying numerical algorithms. The course aims to provide theoretical knowledge as well as the ability to conduct research with practical applications.
Fundamentals of differential geometry, applications of optimization on manifolds, optimization algorithms on manifolds (first-order, second-order), geodesic convexity
| 1. | Performs the concepts of differential geometry |
| 2. | Develops geometric tools to work on manifolds |
| 3. | Notices a Riemannian optimization problem |
| 4. | Applies Riemannian optimization algorithms |
| 5. | Puts theoretical knowledge into practice |
| 1. | An introduction to Optimization on smooth manifolds, Nicolas Boumal |
| 2. | Optimization Algorithms on Matrix Manifolds, P.-A. Absil, R. Mahoney, R. Sepulchre |
| 3. | Introduction to Smooth Manifolds, John M. Lee |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 3 | %30 |
| Project | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 2 | 3 | 70 |
| Assignment | 3 | 0 | 12 | 36 |
| Project | 1 | 50 | 2 | 52 |
| Individual Work | 14 | 0 | 3 | 42 |
| TOTAL WORKLOAD (hours) | 200 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | |
OÇ-1 | 4 | 1 | 4 | 1 | |||||||||||
OÇ-2 | 4 | 2 | 4 | 3 | |||||||||||
OÇ-3 | 4 | 3 | 4 | 4 | 4 | 3 | |||||||||
OÇ-4 | 4 | 3 | 4 | 4 | 4 | ||||||||||
OÇ-5 | 3 | 3 | 4 | 4 | 3 | 4 | 3 | 3 | 3 | 4 | 3 | ||||