Prof. Dr.
Michael
Vogt
Institute of Statistics
Helmholtzstraße 20
89081
Ulm
Baden-Württemberg
Germany
Lecturer: Michael Vogt
Exercises: Manuel Rosenbaum
General Informations:
Lectures: | 2 SWS: Tuesday 14:00 - 16:00; Helmholtzstraße 18, Room 120 |
Exercises: | 1 SWS: Thursday, 12:00 - 14:00; N24, Room 226 |
Contents: | 1. Classification and Regression Problems - Statistical decision theory - Binary classification - Logistic regression 2. Technical Tools - Exponential inequalities - Concentration inequalities - Subgaussian random variables 3. Uniform Convergence and Generalization - Classification with 0-1-loss - Convex relaxation for classification - Regression 4. Neural Networks - Definition of deep neural networks - Statistical model - Generalization bounds based on Rademacher complexity - Approximation theory - Convergence rates |