CIMI thematic trimester on Image Processing

CIMI Colloquium

June 28th, 2013, Toulouse

The CIMI Thematic Trimester on Image Processing is pleased to announce a colloquium to be held in Toulouse on June, 28th 2013, from 2pm to 4pm. The invited speakers are Prof. Alfred O. Hero, University of Michigan, and Prof. Yonina Eldar, Technion.

Alfred O. Hero

CIMI Excellence Research Chair

Professor, University of Michigan, Ann Arbor, Unites States

Kronecker covariance decompositions for high dimensional data, 14:00 - 15:00

Kronecker covariance decompositions can be interpreted as a generalization of the matrix singular value decomposition (SVD) where the components are Kronecker product matrices. While these components are not orthogonal, the number of Kronecker components, called the Kronecker separation rank, of the decomposition plays a similar role as the rank in low rank covariance matrix approximation. We obtain high dimensional convergence rates on the approximation error of the Kronecker decomposition under a Wishart sample covariance model as a function of the number of free variables $p$ and the number of independent samples $n$. We illustrate the power of Kronecker covariance decompositions for spatio-temporal data applications in sensor networks and video processing.

Slides

Yonina Eldar

Professor, Technion, Israel

Defying Nyquist in Analog to Digital Conversion, 15:00 - 16:00

The famous Shannon-Nyquist theorem has become a landmark in the development of digital signal processing. However, in many modern applications, the signal bandwidths have increased tremendously, while the acquisition capabilities have not scaled sufficiently fast. Consequently, conversion to digital has become a serious bottleneck. In this talk a new framework for sampling wideband analog signals at rates far below that dictated by the Nyquist rate will be presented. The focus will be both on the theoretical developments, as well as on actual hardware implementations and considerations that allow realization of sub-Nyquist samplers in practice. Applications to a variety of different problems in communications, bioimaging, and signal processing will also be described.