The goal of this course is to provide a rigorous introduction to concepts and methods of high-dimensional statistics having numerous applications in data science, machine learning and signal processing.
Topics (tentative):
Compressed sensing and sparse recovery
Matrix completion and the Netflix problem
Principal component analysis and spectral clustering in high dimensions
Kernel methods and support vector machines
Overparametrization and the double descent phenomenon
Stochastik, Lineare Algebra, Analysis
High-Dimensional Statistics by Martin J. Wainwright
High-Dimensional Probability by Roman Vershynin
Frequency | Weekday | Time | Format / Place | Period |
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Module | Course | Requirements | |
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24-M-P1 Profilierung 1 | Profilierungsvorlesung (mit Übung) - Typ 3 | Study requirement
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Student information |
24-M-P1a Profilierung 1 Teil A | Profilierungsvorlesung (mit Übung) - Typ 3 | Study requirement
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Student information |
24-M-P1b Profilierung 1 Teil B | Profilierungsvorlesung (mit Übung) - Typ 3 | Student information | |
24-M-P2 Profilierung 2 | Profilierungsvorlesung (mit Übungen) - Typ 2 | Study requirement
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Student information |
24-M-PWM Profilierung Wirtschaftsmathematik | Profilierungsvorlesung (mit Übung) -Typ 3 | Study requirement
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Student information |
31-M-ASM2 Advanced Statistical Methods II | Veranstaltungen aus dem Bereich Statistik und/oder in (einem) methodisch verbundenen Gebiet(en) (I.) | Graded examination
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Student information |
Veranstaltungen aus dem Bereich Statistik und/oder in (einem) methodisch verbundenen Gebiet(en) (II.) | Graded examination
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Student information | |
31-SW-AKStat Ausgewählte Kapitel der Statistik | Veranstaltung aus dem Bereich Statistik oder einem methodisch verbundenen Gebiet 4 LP | Graded examination
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Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
A corresponding course offer for this course already exists in the e-learning system. Teaching staff can store materials relating to teaching courses there: