6th Austrian Day of Women in Mathematics

Session

Stochastic Analysis and Topological Asymptotic Analysis

27 Feb 2026, 09:30

SR11.34

Conveners

Stochastic Analysis and Topological Asymptotic Analysis

• Elena Resmerita

52. Finite dimensional stochastic filtering and smoothing

Eva Flonner (Vienna University of Economics and Business / UNIQA Insurance Group)

27/02/2026, 09:30

Contributed Talk

This talk deals with the so-called filtering problem, the optimal estimation of a hidden state given partial and noisy observations. In the seminal paper by Kushner \cite{KUSHNER1967179}, a nonlinear stochastic partial differential equation for the conditional density of continuous processes with continuous observations has been derived. In a subsequent paper, Zakai \cite{zakai1969optimal} was...

53. Vertex characterization via second-order topological derivatives

Bochra Mejri (RICAM)

27/02/2026, 09:50

Contributed Talk

This talk focuses on identifying vertex characteristics in 2D images using topological asymptotic analysis. Vertex characteristics include both the location and the type of the vertex, with the latter defined by the number of lines forming it and the corresponding angles. This problem is crucial for computer vision tasks, such as distinguishing between fore- and background objects in 3D...