Low-dimensionality in mathematical signal processing

Series
Job Candidate Talk
Time
Thursday, January 16, 2014 - 11:05am for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Yaniv Plan – University of Michigan – http://www.yanivplan.com/
Organizer
Yuri Bakhtin
Natural images tend to be compressible, i.e., the amount of information needed to encode an image is small. This conciseness of information -- in other words, low dimensionality of the signal -- is found throughout a plethora of applications ranging from MRI to quantum state tomography. It is natural to ask: can the number of measurements needed to determine a signal be comparable with the information content? We explore this question under modern models of low-dimensionality and measurement acquisition.