PDF-Workshop Göttingen 2008

Synergy of Stochastic and Numerical Methods

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Location
Accommodation
Participants
Schedule

DFG-GRADUIERTENKOLLEG 1023
Identification in Mathematical Models
Synergy of Stochastic and Numerical Methods

Workshop
on
Positive Definite Functions in
Numerical Analysis and Statistics

Institute
Göttingen, September 18-20, 2008

Organized by:
Prof. Dr. R. Schaback (Georg-August-Universität Göttingen)
Prof. Dr. M. Schlather (Georg-August-Universität Göttingen)

The workshop will be held at:
Georg-August University Göttingen
Institute for Numerical and Applied Mathematics
NAM-Seminarraum
Lotzestrasse 16-18
D-37083 Göttingen

Aims and Scope

In recent years, methods based on positive definite functions (“kernels”) have emerged as a useful tool in various applications, including geostatistics, machine learning, parameter identification, and meshless methods for solving partial differential equations. So far, probabilistic and deterministic approaches applying kernels were developed independently. The goal of this workshop is to bring together researchers from these disciplines in order to improve synergy and to open new joint research fields.

Workshop topics include kernel-based methods for

reconstruction of functions from scattered data (Kriging)
model selection and parameter identification
machine learning
meshless methods for PDE
applications
simulation

with special focus on

kernel/variogram selection
kernel scaling and parameter estimation
error behavior, efficiency, and impacts on sampling strategies
stability behavior and regularization techniques
numerical aspects of solving linear equations based on kernel matrices

In order to improve the mutual understanding of researchers in stochastic and numerical methods, the primary goal of this workshop is to learn about the state of the art in "the other" field. Therefore we intend to have extensive discussions after a few invited general survey lectures instead of filling the available time by scheduling many specialized individual contributions. Consequently, we restrict further contributions to posters, but these are encouraged, in particular if they address the interaction between numerical and statistical techniques.

Local Organizing Committee:

Robert Schaback and Martin Schlather with help by Heike Ahrens and Christian Rieger

Registration:

There will be a conference fee of 20 €, payable at the conference desk.
Please register for the conference until August 1st, 2008
using the following e-mail address:

Heike Ahrens (gk1023@math.uni-goettingen.de)
Georg-August-Universität Göttingen
Institute for Numerical and Applied Mathematics
Lotzestr. 16-18 D-37083 Göttingen
++49 551 39 4523

Contributions:

There will be a possibility to present a poster in a special
poster session. Participants should indicate this in their registration
and provide a title and an abstract until August 1st, 2008.