Johannes Kepler Symposium für Mathematik
Im Rahmen des Johannes-Kepler-Symposiums für Mathematik wird Dr. Frank Bauer am Wed, May 7, 2008 um 17:15 Uhr im HS 9 einen öffentlichen Vortrag (mit anschließender Diskussion) zum Thema "Stabilization and Denoising - Practical Examples and Theory -" halten, zu dem die Veranstalter des Symposiums,O.Univ.-Prof. Dr. Ulrich Langer,
Univ.-Prof. Dr. Gerhard Larcher
A.Univ.-Prof. Dr. Jürgen Maaß, und
die ÖMG (Österreichische Mathematische Gesellschaft)
hiermit herzlich einladen.
Series B - Mathematical Colloquium:
The intention is to present new mathematical results for an audience interested in general mathematics.
Stabilization and Denoising - Practical Examples and Theory -
In all practical applications one is affected by noise and modelling errors. Countering the effects of these disturbances and safeguarding an as accurate solution as possible has been the goal of several mathematical disciplines, among them statistics/stochastics (for random noise) and in the case of unstable problems functional analysis (mainly for deterministic and modelling errors). In this talk we will set our focus to these unstable (ill-posed or ill-conditioned) problems and show that the combined efforts of functional analytic and stochastic methods lead to very good, in some cases optimal results. Applications from various fields, including image denoising, mathematical imaging, geophysics and financial mathematics will be provided.