2005 Special Year on Computational Mathematics

Workshop on High-dimensional Approximation

14 - 17 February 2005

Australian National University, Canberra
Manning Clark Centre
A map of the campus and surrounding area.

The workshop is devoted to recent advances and ideas concerning high-dimensional approximation.

The need for representation of high-dimensional functions and data arises in numerous application fields. The development of efficient, or tractable, methods to describe and compute these functions is a challenging problem due to the "curse of dimensionality". The aim of this workshop is to attract and bring together researchers from different fields of research. The scope goes from theoretic results for high-dimensional approximation, to computational methods and to applications resulting in high-dimensional problems.

The topics of this workshop include but are not limited to:

• Approximation of high-dimensional functions, theory and practice
• Sparse grids, quasi Monte Carlo methods, stochastic solution methods, particle methods, RBF-methods
• Machine learning, kernel methods, manifold learning, semi-supervised learning, dimension reduction
• High-dimensional partial differential equations, integral equations, and integrals
• Schrödinger equation, Fokker-Planck equation, Boltzmann equation
• Applications in molecular biology, physics, financial mathematics and statistics

Partial list of speakers

Olivier Chapelle	MPI for Biological Cybernetics, Tübingen
Michael Griebel	Universität Bonn
Markus Hegland	Australian National University
Robert Kohn	University of New South Wales
Geoff McLachlan	University of Queensland
Andrej Nitsche	ETH Zürich
Ian Sloan	University of New South Wales
Alex Smola	NICTA
Henryk Wozniakowski	Columbia University and University of Warsaw

A complete list of speakers/participants is also available.

Program
The program of the workshop including abstracts.

Online resources
Some of the presentations can be found here.

Organising committee

Jochen Garcke	Australian National University
Michael Griebel	Universität Bonn
Markus Hegland	Australian National University
Ian Sloan	University of New South Wales

Financial support by
CMA Special Year on Computational Mathematics
COSNet ARC Complex Open Systems Research Network
MASCOS Centre of Excellence for Mathematics and Statistics of Complex Systems
NIEIS National Institute of Engineering and Information Sciences at The Australian National University (ANU)
The Statistical Machine Learning Program at National ICT Australia