Seminar: Mo, 12-14h, online, -
Preregistration: by e-mail to Diyora Salimova
Preliminary Meeting 14.04., 15:00, via zoom (please write the lecturer in case the time slot does not fit you)
Preparation meetings for talks: Dates by arrangement
Teacher: Diyora Salimova
Language: Talk/participation possible in German and English
In recent years, deep learning have been successfully employed for a multitude of computational problems including object and face recognition, natural language processing, fraud detection, computational advertisement, and numerical approximations of differential equations. Such simulations indicate that neural networks seem to admit the fundamental power to efficiently approximate high-dimensional functions appearing in these applications.
The seminar will review some classical and recent mathematical results on approximation properties of deep learning. We will focus on mathematical proof techniques to obtain approximation estimates on various classes of data including, in particular, certain types of PDE solutions.
Basics of functional analysis, numerics of differential equations, and probability theory
Elective (Option Area) (2HfB21)
Mathematical Seminar (BSc21)
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Mathematical Seminar (MSc14)
Elective (MSc14)
Mathematical Seminar (MScData24)
Elective in Data (MScData24)
Lecture: Di, Fr, 12-14h, SR 226, Hermann-Herder-Str. 10
Tutorial: 2 hours, date to be determined
Computer exercise: 2 hours, date to be determined
Oral exam 06.12.
This course takes only place in the first half of the semester, until end of November.
Teacher: Diyora Salimova
Assistant: Ilkhom Mukhammadiev
Language: in English
The aim of this course is to enable the students to carry out simulations and their mathematical analysis for stochastic models originating from applications such as mathematical finance and physics. For this, the course teaches a decent knowledge on stochastic differential equations (SDEs) and their solutions. Furthermore, different numerical methods for SDEs, their underlying ideas, convergence properties, and implementation issues are studied.
Required: Probability and measure theory, basic numerical analysis and basics of MATLAB programming.
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Applied Mathematics (MSc14)
Mathematics (MSc14)
Concentration Module (MSc14)
Elective (MSc14)
Elective in Data (MScData24)
Di, 12-14h, SR 226, Hermann-Herder-Str. 10
Teacher: Diyora Salimova
Assistant: Philipp Tscherner
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička, Diyora Salimova
Lecture: Mo, Mi, 12-14h, SR 226, Hermann-Herder-Str. 10
14.02., 14:00-16:00
Teacher: Diyora Salimova
Assistant: Hedwig Keller
general:
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Teacher: Diyora Salimova
Assistant: Hedwig Keller
Supplementary Module in Mathematics (MEd18)
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl, Michael Růžička, Diyora Salimova
Lecture: Mo, 12-14h, SR 226, Hermann-Herder-Str. 10
07.08., 12:00-14:00
Teacher: Diyora Salimova
Assistant: Hedwig Keller
general:
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Teacher: Diyora Salimova
Assistant: Hedwig Keller
general:
Compulsory Elective in Mathematics (BSc21)
Mi, 12-14h, SR 125, Ernst-Zermelo-Str. 1
Teacher: Diyora Salimova
Assistant: Jakob Rotter
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Michael Růžička, Diyora Salimova
Lecture: Mi, 14-16h, HS Rundbau, Albertstr. 21
Teacher: Diyora Salimova
Assistant: Oliver Suchan
general: ,
Numerics I (MEB21)
Teacher: Diyora Salimova
Assistant: Coffi Aristide Hounkpe, Jakob Rotter, Oliver Suchan
general:
Computer Exercise (2HfB21, MEH21, MEB21)
Supplementary Module in Mathematics (MEd18)
Do, 14-16h, , online
Teacher: Diyora Salimova
Assistant: Coffi Aristide Hounkpe
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)