Scientific Computing, Applied and Industrial Mathematics (SCAIM) Seminar: Dr Sui Tang
Topic
Dynamical Sampling
Speakers
Details
Dynamical sampling is a new area in sampling theory that deals with processing a time series of evolving signals {A^nx, n=0,1,2,...} and aims at recovering the signal x from its coarsely sampled evolving states. In the talk, I will present why and how the temporal dynamics can compensate for insufficient spatial information. In particular, I will show how the dynamical sampling problem is linked to compressed sensing. Another more challenging problem arises when the operator A is also unknown and we want to recover both x and A. This problem exhibits features that occur similar to many fundamental problems in engineering such as deconvolution, and super-resolution and the matrix completion problem. We propose reconstruction algorithms with provable guarantees by employing ideas from the classical Prony method, matrix pencil method, and the ESPRIT method. Finally, I will conclude with some open questions and future research directions.
Additional Information
Location: ESB 4133 (PIMS lounge)
Dr Sui Tang, Johns Hopkins University
Dr Sui Tang, Johns Hopkins University
This is a Past Event
Event Type
Scientific, Seminar
Date
January 8, 2019
Time
-
Location