Lehrveranstaltung Mathematisches Seminar (Seminar)

Location: Zuse Institute Berlin

ZIB, Raum 2006

erstes Treffen 14.4. 15:00 am ZIB, Raum 2006

weitere Treffen dann nach Vereinbarung

Proseminar Höhere Analysis

Zoom-Meeting:

https://tu-berlin.zoom.us/j/5061788882?pwd=aE9zRVc3S3VBZ2lrV0x5TStjUld4Zz09

Introductory lecture for topics assignment.

Alternative date for introductory lecture and topics assignment in case the original lecture has to be canceled.

This event belongs to the joint special lecture + seminar on "Stochastic Optimization, and Reinforcement Learning and their Applications to Mathematical Finance".

The lecture “Introduction to Stochastic Optimization and Reinforcement Learning” serves as an introduction to analyzing common optimization problems appearing in modern machine learning applications. We will particularly focus on supervised learning and the dynamics of stochastic gradient descent, as well as Reinforcement Learning. This involves the analysis of stochastic processes in discrete time, whose behavior is closely linked to deterministic, as well as stochastic differential equations. While the general techniques for the asymptotic analysis of stochastic processes are introduced during the lecture, proper basic knowledge of probability theory (including martingale theory) is required.

The lecture will run in the first half of the semester, twice a week (Wednesday 14-16, MA144 and Thursday 8-10, MA 751).

In the second half of the semester, we will focus on applications to finance in the seminar "Applications of Stochastic Optimization and Reinforcement Learning to Mathematical Finance". In the seminar, each participant will present one research paper / chapter of a book. Possible topics for the seminar will be presented during the first lectures in the introductory part of this event.