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79161-01 - Lecture: Concentration (6 CP)
| Semester | fall semester 2026 |
| Further events belonging to these CP |
79161-01 (Lecture) 79161-02 (Practical course) |
| Course frequency | Irregular |
| Lecturers | Jiří Černý (jiri.cerny@unibas.ch, Assessor) |
| Content | This lecture introduces concentration phenomena: the remarkable principle that random objects often behave almost deterministically when the number of inputs diverges. It develops the fundational tools for controlling fluctuations of random variables, such as the classical inequalities (Hoeffding, Bernstein, and McDiarmid), together with modern geometric and probabilistic perspectives. We illustrate these techniques in applications in random matrix theory, statistics, and possibly machine learning, and theoretical computer science. The course emphasizes both intuition and rigorous methods. |
| Bibliography | Roman Vershynin: High-Dimensional Probability Boucheron, Lugosi, Massart: Concentration Inequalities - A Nonasymptotic Theory of Independence |
| Comments | Wenn alle Teilnehmer Deutsch verstehen, kann die Vorlesung auf Deutsch gehalten werden. |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Course auditors welcome |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Wednesday | 14.15-16.00 | Alte Universität, Seminarraum -201 |
Dates
| Date | Time | Room |
|---|---|---|
| Wednesday 16.09.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 23.09.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 30.09.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 07.10.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 14.10.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 21.10.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 28.10.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 04.11.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 11.11.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 18.11.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 25.11.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 02.12.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 09.12.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Wednesday 16.12.2026 | 14.15-16.00 | Alte Universität, Seminarraum -201 |
| Modules |
Module: Applications and Related Topics (Bachelor's Studies: Computer Science (Start of studies before 01.08.2026)) Module: Applications and Related Topics (Bachelor's degree subject: Computer Science (Start of studies before 01.08.2026)) Module: Applied Mathematics (Bachelor's Studies: Mathematics) Module: Mathematical Foundations (Master's Studies: Data Science) Module: Statistics and Computational Science (Master's Studies: Actuarial Science) |
| Assessment format | continuous assessment |
| Assessment details | Written test to exercises and oral exam (20 min). |
| Assessment registration/deregistration | Reg.: course registration, dereg: cancel course registration |
| Repeat examination | no repeat examination |
| Scale | 1-6 0,5 |
| Repeated registration | as often as necessary |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |