Second Workshop Donau-Isar-Inn: WDI² - Approximation Theory and Applications

Program

• 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.

Schedule

2:30pm	Sparse FFT: can the fast Fourier transform be made even faster? Prof. Gerlind Plonka-Hoch  Universität Göttingen
3:30pm	Parabolic Curvelet TransformParabolic Curvelet Transform 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.​ Thomas Fink  Universität Passau
4:00pm	Coffee and Cake
4:45pm	Dimensionality reduction with Johnson-Lindenstrauss embeddingsDimensionality reduction with Johnson-Lindenstrauss embeddings 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  RWTH Aachen
5:45pm	Compressed Sensing in Photoacoustic Tomography Michael Sandbichler  Universität Innsbruck

Workshop dinner

Registration

toth-pinterma.tum.de

Directions

Organizers

	Person	E-Mail
PhD Student	Christian Kümmerle	christian.kuemmerlema.tum.de
PhD Student	Kristof Schröder	kristof.schroederhelmholtz-muenchen.de
PhD Student	Juliane Sigl	juliane.siglma.tum.de
Professor	Felix Krahmer	felix.krahmertum.de