REPRESENTATIONS AND DATA ANALYSIS
| Title | ΑΝΑΠΑΡΑΣΤΑΣΕΙΣ ΚΑΙ ΑΝΑΛΥΣΗ ΔΕΔΟΜΕΝΩΝ / REPRESENTATIONS AND DATA ANALYSIS |
| Code | Θ005 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 2nd / Postgraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Chrysostomos Psaroudakis |
| Common | Yes |
| Status | Active |
| Course ID | 600025885 |
Programme of Study: PMS Tmīmatos Mathīmatikṓn Merikīs Foítīsīs (2025-2030)
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| THEŌRĪTIKA MATHĪMATIKA | Elective Courses belonging to the selected specialization | Winter | - | 10 |
Programme of Study: PMS Tmīmatos Mathīmatikṓn (2025-2030)
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| THEŌRĪTIKA MATHĪMATIKA | Elective Courses belonging to the selected specialization | Winter | - | 10 |
| Academic Year | 2025 – 2026 |
| Class Period | Winter |
| Faculty Instructors | |
| Weekly Hours | 3 |
| Total Hours | 39 |
| Class ID | 600268378
|
Type Of Offer
- Disciplinary Course
Course Type 2021
Specialization / Direction
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600268378
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
- English (Instruction, Examination)
Learning Outcomes
The students will be able to
1. understand techniques of representation theory and data analysis
2. compute representations of data analysis
3. compute stability of data
4. realize the use of representation theory to data analysis
General Competences
- Work autonomously
- Work in teams
- Generate new research ideas
Course Content (Syllabus)
This courses consists of an introduction to Data Analysis and Representation theory of quivers. Representations of Quivers. Persistence Modules. Persistence Barcodes. Topological Persistence. Stability. Topological Inference. Clustering. Signatures for Metric Spaces.
Keywords
Representations of Quivers. Persistence Modules. Persistence Barcodes. Stability. Topological Inference. Clustering. Signatures.
Educational Material Types
- Notes
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | ||||
| Seminars | 58 | ||||
| Reading Assigment | 200 | ||||
| Exams | 3 | ||||
| Total | 300 |
Student Assessment
Description
The grading will be obtained in three parts:
(i) Exercise sheets through all semester, percentage of the final degree 20%.
(ii) First written exam in the first half of the course, percentage of the final degree 20%.
(iii) Second written exam in the other half of the course, percentage of the final degree 30%.
The final grade is the overall sum of the above intermediate exams.
Student Assessment methods
- Written Exam with Short Answer Questions (Formative)
- Written Exam with Extended Answer Questions (Formative)
- Written Assignment (Formative)
- Oral Exams (Formative)
- Written Exam with Problem Solving (Formative)
Bibliography
Additional bibliography for study
Steve Y. Oudot, Persistence Theory: From Quiver Representations to Data Analysis Associative Algebras
Last Update
01-12-2024
