Topological Data Analysis(MAT408)
| Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| MAT408 | Topological Data Analysis | 7 | 3 | 0 | 0 | 3 | 5 |
| Prerequisites | |
| Admission Requirements |
| Language of Instruction | French |
| Course Type | Elective |
| Course Level | Bachelor Degree |
| Course Instructor(s) | Serap GÜRER serapgurer@gmail.com (Email) |
| Assistant | |
| Objective | The aim of the course is to explore the fundamental concepts, techniques, and results in Topological Data Analysis. |
| Content |
Simplicial complexes, Homology Persistent Homology Complexes on point clouds Reeb Graphs Mapper Algorithm |
| Course Learning Outcomes | |
| Teaching and Learning Methods | |
| References |
-Herbert Edelsbrunner, John L. Harer, Computational Topology An Introduction, -Topology For Computing, Afra Zomorodian |
Theory Topics
| Week | Weekly Contents |
|---|---|
| 1 | Simplicial complexes |
| 2 | Complexes from Point Cloud Data |
| 3 | Complexes from Point Cloud Data |
| 4 | Simplicial Homology |
| 5 | Chains, Cycles, Boundaries, and Homology Groups |
| 6 | Matrix View and Algorithm for Calculation |
| 7 | Computing Simplicial Homology of Topological Spaces |
| 8 | Exam |
| 9 | Persistent homology |
| 10 | Filtrations |
| 11 | Matrix View and Reduction-Based Algorithm |
| 12 | Computing Persistent Homology |
| 13 | Analysis of Point Cloud Data |
| 14 | Analysis of Point Cloud Data |
Practice Topics
| Week | Weekly Contents |
|---|
Contribution to Overall Grade
| Number | Contribution | |
|---|---|---|
| Contribution of in-term studies to overall grade | 2 | 60 |
| Contribution of final exam to overall grade | 1 | 40 |
| Toplam | 3 | 100 |
In-Term Studies
| Number | Contribution | |
|---|---|---|
| Assignments | 0 | 0 |
| Presentation | 1 | 10 |
| Midterm Examinations (including preparation) | 1 | 30 |
| Project | 1 | 20 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 0 | 0 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Make-up | 0 | 0 |
| Toplam | 3 | 60 |
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 14 | 3 | 42 |
| Working Hours out of Class | 7 | 2 | 14 |
| Assignments | 1 | 10 | 10 |
| Presentation | 1 | 2 | 2 |
| Midterm Examinations (including preparation) | 1 | 30 | 30 |
| Project | 1 | 20 | 20 |
| Laboratory | 0 | 0 | 0 |
| Other Applications | 0 | 0 | 0 |
| Final Examinations (including preparation) | 0 | 0 | 0 |
| Quiz | 0 | 0 | 0 |
| Term Paper/ Project | 0 | 0 | 0 |
| Portfolio Study | 0 | 0 | 0 |
| Reports | 0 | 0 | 0 |
| Learning Diary | 0 | 0 | 0 |
| Thesis/ Project | 0 | 0 | 0 |
| Seminar | 0 | 0 | 0 |
| Other | 0 | 0 | 0 |
| Make-up | 0 | 0 | 0 |
| Total Workload | 118 | ||
| Total Workload / 25 | 4.72 | ||
| Credits ECTS | 5 | ||