Unit TOPOLOGY FOR DATA ANALYSIS
- Course
- Mathematics
- Study-unit Code
- A005438
- Curriculum
- Generale
- Teacher
- Nicola Ciccoli
- Teachers
-
- Nicola Ciccoli
- Hours
- 42 ore - Nicola Ciccoli
- CFU
- 6
- Course Regulation
- Coorte 2025
- Offered
- 2025/26
- Learning activities
- Affine/integrativa
- Area
- Attività formative affini o integrative
- Academic discipline
- MAT/03
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- Italian - The course may be given in English on request from studentes (if they all agree)
- Contents
- Homology techniques applied to big data analysis; particular emphasis on persistent homology
- Reference texts
- Schenk: Algebraic Foundations for Applied Topology and Data Analysis
- Educational objectives
- Learning how, from a theoretical viewpoint, homological algebra techniques can be applied to data analysis.
- Prerequisites
- Basic knowledge of general topology and abstract algebra.
- Teaching methods
- Lezioni frontali
- Learning verification modality
- Oral exam on the theoretical content and a study case.
- Extended program
- Introduction to homotopy theory General homological algebra Cellular and singular homology Persistent homology