240165 High-Dimensional Statistics (VÜA) (SoSe 2023)

Contents, comment

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

Requirements for participation, required level

Stochastik, Lineare Algebra, Analysis

Bibliography

High-Dimensional Statistics by Martin J. Wainwright
High-Dimensional Probability by Roman Vershynin

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Dates ( Calendar view )

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Subject assignments

Module Course Requirements  
24-M-P1 Profilierung 1 Profilierungsvorlesung (mit Übung) - Typ 3 Study requirement
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24-M-P1a Profilierung 1 Teil A Profilierungsvorlesung (mit Übung) - Typ 3 Study requirement
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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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24-M-PWM Profilierung Wirtschaftsmathematik Profilierungsvorlesung (mit Übung) -Typ 3 Study requirement
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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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Veranstaltungen aus dem Bereich Statistik und/oder in (einem) methodisch verbundenen Gebiet(en) (II.) Graded examination
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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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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.


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E-Learning Space

A corresponding course offer for this course already exists in the e-learning system. Teaching staff can store materials relating to teaching courses there:

Registered number: 15
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Address:
SS2023_240165@ekvv.uni-bielefeld.de
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If the reference number is used for several courses in the course of the semester, use the following alternative address to reach the participants of exactly this: VST_398334405@ekvv.uni-bielefeld.de
Coverage:
14 Students to be reached directly via email
Notes:
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Last update basic details/teaching staff:
Wednesday, January 11, 2023 
Last update times:
Wednesday, April 12, 2023 
Last update rooms:
Wednesday, April 12, 2023 
Type(s) / SWS (hours per week per semester)
VÜA / 3
Language
This lecture is taught in english
Department
Faculty of Mathematics
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398334405