Efficient Representations of Signals in Nonlinear Signal Processing with Applications to Inverse Problems
Speaker: Eugene Brevdo
Series: Final Public Orals
Location: Engineering Quadrangle B327
Date/Time: Monday, July 25, 2011, 10:00 a.m. - 12:00 p.m.
The focus of this thesis is the construction and analysis of efficient representations in nonlinear signal processing, and the applications of these structures to inverse problems in a variety of fields. The work is composed of three major sections, each associated with a different form of data:
* Regression and Distance Estimation on Graphs and Riemannian Manifolds.
* Instantaneous Time-Frequency Analysis via Synchrosqueezing.
* Multiscale Dictionaries of Slepian Functions on the Sphere.