Research Seminar Series in Statistics and Mathematics

Ort: Wirtschaftsuniversität Wien , Departments 4 D4.4.008 am 27. April 2018 Startet um 09:00 Endet um 10:30
Art Vortrag/Diskussion
SpracheEnglish
Vortragende/r Nicole Bäuerle (Department of Mathematics, Karlsruhe Institute of Technology)
Veranstalter Institut für Statistik und Mathematik
Kontakt katrin.artner@wu.ac.at

Nicole Bäuerle (Department of Mathematics, Karlsruhe Institute of Technology) about “Optimal Control of Partially Observable Piecewise Deterministic Markov Processes”

The Institute for Statistics and Mathematics (Department of Finance, Accounting and Statistics) cordially invites everyone interested to attend the talks in our Research Seminar Series, where internationally renowned scholars from leading universities present and discuss their (working) papers.

The list of talks for the summer term 2018 is available via the following link:
<link en statmath resseminar>Summer Term 2018

Abstract:

In this talk we consider a control problem for a Partially Observable Piecewise Deterministic Markov Process of the following type: After the jump of the process the controller receives a noisy signal about the state and the aim is to control the process continuously in time in such a way that the expected discounted cost of the system is minimized. We solve this optimization problem by reducing it to a discrete-time Markov Decision Process. This includes the derivation of a filter for the unobservable state. Imposing sufficient continuity and compactness assumptions we are able to prove the existence of optimal policies and show that the value function satisfies a fixed point equation. A generic application is given to illustrate the results.
(The talk is based on a joint paper with Dirk Lange.)



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