Second Workshop Donau-Isar-Inn: WDI² - Approximation Theory and Applications
Program Registration Directions
- Date: Friday, February 12, 2016, 2:30 PM to 6:30 PM.
- Location: Zentrum Mathematik der TU München, Boltzmannstr. 3, 85747 Garching, Room MI 02.08.011.
|| Sparse FFT: can the fast Fourier transform be made even faster?
Prof. Gerlind Plonka-Hoch
In this talk we will sketch the idea of an edge detection method which allows a simultaneous estimation of the edges’ curvature. To this end, we will expand the concept of the classical Wavefront Set, which indicates the position and direction of a singularity, to also include its local curvature. On this basis we will introduce the Parabolic Curvelet Transform and show its connection to the expansion of the Wavefront Set.
|| Coffee and Cake
In modern data analysis, one frequently needs to deal with high-dimensional data sets. To alleviate the computational and storage issues that arise in handling this type of data, it is of interest to pre-process the data set to reduce its dimensionality, while preserving the information in the data that is vital for the computational task at hand.
In this talk I will consider dimensionality reduction with Johnson-Lindenstrauss embeddings, which are random matrix constructions aimed at reducing the dimension while approximately preserving Euclidean inter-point distances in the data set. In particular I will focus on the 'fast' and 'sparse' Johnson-Lindenstrauss embeddings, which allow for a fast implementation. The presented results describe how the achievable embedding dimension depends on the desired approximation error and the 'intrinsic dimension' of the original data set. If time permits, I will discuss applications to manifold embeddings and constrained least squares programs.
This talk is partly based on joint work with Jean Bourgain (IAS Princeton) and Jelani Nelson (Harvard).
Prof. Sjoerd Dirksen
|| Compressed Sensing in Photoacoustic Tomography
We invite the participants to join us for dinner in a the Flamm's CafeBar & Restaurant , Rathausplatz 2, 85748 Garching, in the city center of Garching.
If you are interested in our workshop, please register until February 8, 2016. This will facilitate the organization of the event. Registration is free.
For registration, please contact Frau Silvia Toth-Pinter (toth-pinterma.tum.de). We can also book an accommodation for you if preferred.
The venue of the workshop is the building of the Mathematics and Informatics departments of TU München (Boltzmannstr. 3, 85747 Garching) on the Garching campus, Room MI 02.08.011, located on the second floor.
The Garching campus can easily be reached by subway (U-Bahn Linie U6, station Garching-Forschungszentrum) from Munich city center. There are many parking lots free of charge in Ludwig-Prandtl-Straße at the back of the building. Further details can be found here.