Compressive Sampling and Frontiers in Signal Processing

From June 4-15, 2007 the IMA will host an intensive short course designed to efficiently provide researchers in the mathematical sciences and related disciplines the basic knowledge prerequisite to undertake research in signal processing and compressive sampling. The course will be taught by Emmanuel J. Candes, Professor of Applied and Computational Mathematics at California Institute of Technology, Ronald A. DeVore, Professor of Mathematics at University of South Carolina, and Richard G. Baraniuk, Professor of Electrical and Computer Engineering at Rice University. The primary audience for the course is mathematics faculty. No prior background signal processing is expected. Participants will receive full travel and lodging support during the workshop.

Description:

The last two years have seen an explosion of research activity in the area of compressive sampling and our lectures will present the key mathematical ideas underlying this new sampling or sensing theory, which come from various subdisciplines within the mathematical sciences; namely, probability theory and especially random matrix theory, mathematical optimization, and analysis in high-dimensional Banach spaces. In addition, a beautiful thing about compressed sensing is that is has deep connections with many disciplines; with signal processing of course, but also with information theory, coding theory, theoretical computer science and statistics to name just a few. A good portion of these lectures will make these connections clear. Compressed sensing also offers a new vantage point for a diverse set of applications including accelerated tomographic imaging, analog-to-digital conversion, and digital photography. Interestingly, there are already many ongoing efforts to build a new generation of sensing devices based on compressed sensing and the lecturers will address remarkable recent progress in this area as well. Finally, while we will survey foundational results in compressive sampling, it is good to keep in mind that this is after all a very young field, which has a flurry of open problems. We hope to expose the participants to the most exciting ones.

Application procedure. The IMA New Directions Short Courses will be limited to 25 participants selected by application. All successful applicants will be funded for travel and local expenses. Please see the IMA reimbursement policy for details about airfare.

LIST OF CONFIRMED PARTICIPANTS