Module overview
Aims and Objectives
Learning Outcomes
Learning Outcomes
Having successfully completed this module you will be able to:
- Understand most of the syllabus
Syllabus
Metrics as similarity
Maps of metric spaces and distortion
Coarse maps and MDS
Distances between sets: the bottleneck distance, Wassertein metric, etc
Perhaps even the Procrustes distance for shape, but we shall see
Approximating shapes by simpler objects: simplicial and cubical complexes.
Voronoi, Delauney, and alpha complexes
Triangulation and simplicial approximation Theorem.
Foundations of persistent homology: filtrations, homology, persistence diagrams. These can be introduced using the PID decomposition theorem which is at the basis of persistence.
Distances between persistence diagrams
Learning and Teaching
Teaching and learning methods
Lectures, problem classes
| Type | Hours |
|---|---|
| Teaching | 48 |
| Independent Study | 102 |
| Total study time | 150 |
Assessment
Summative
This is how we’ll formally assess what you have learned in this module.
| Method | Percentage contribution |
|---|---|
| Exam | 100% |
Referral
This is how we’ll assess you if you don’t meet the criteria to pass this module.
| Method | Percentage contribution |
|---|---|
| Exam | 100% |
Repeat
An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.
| Method | Percentage contribution |
|---|---|
| Exam | 100% |