Interdisciplinary Workshop

Sparsity and Modern Mathematical Methods for High Dimensional Data

April 6--10, 2010, Brussels, Belgium

Daily programme:

The daily programme, a list of abstracts, and some practical information is available in the workshop guide book (A5).

News:

April 10: Workshop closed.
April 9: Group photos: pic1, pic2, pic3.
April 6: Some slides available on programme page (needs password).
April 3: Workshop organizers will be present at the Adagio hotel on April 5th (afternoon).
March 17-19: A confirmation email with some practical information (e.g. presentation type) was sent to every participant.

Conference dinner:

A conference dinner is organized on Thursday April 8, 2010 in "La Chaloupe d'Or" on the Grand-Place. Registration for the dinner is closed. Here is a list of attendees.

Workshop Announcement:

In recent years exciting new developments in mathematics and computer science have opened up new domains of application for computational mathematics. These developments bring new challenges, for which new approaches and new tools must be developed. These draw not only from traditional linear-algebra-based numerical analysis or approximation theory, but also from information theory, graph theory, the geometry of Banach spaces, probability theory, and more. Often the features, patterns or structures of interest hidden in the data, are typically concentrated on subspaces or manifolds of much smaller dimensions. Even if one has no extra a priori knowledge about which subspace or submanifold might carry the information of interest, the knowledge that it is of much smaller dimension helps in "digging it out". Taking advantage of this underlying sparsity lies at the heart of these new developments. It is also the central tenet of compressed sensing and is presently seeing intense development in inverse problems as well.

This workshop will give young scientists in particular the opportunity to present their recent results on new mathematical methods for high-dimensional data and their applications, to a broad audience. In addition, a small number of invited speakers will present their research field in a more general way.

Topics:

• sparse techniques in inverse problems and compressed sensing (theory, algorithms, applications, ...)
• wavelet-like transforms (shearlets, curvelets, use of non-regular grids, ...)
• statistical multi-resolution modeling and restoration of images (with applications in remote sensing, biomedical imaging, ...)
• analysis of multi-spectral data and the study of art

The workshop is part of the activities organized on the occasion of the appointment of Prof. Daubechies as International Francqui Professor at the VUB (January-June 2010).