PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Mark Levi, Victor Nistor, Jinchao Xu, Ludmil Zikatanov.

Title:Fixed-Point Based Proximity Algorithms for Convex Optimization Problems in Signal and Image Processing
Seminar:CCMA Luncheon Seminar
Speaker:Yuesheng Xu, Syracuse University
Abstract:
We consider in this talk a class of convex optimization problems in the context of signal and image processing. The computational challenges of these problems are the nonlinearity and non-differentiability of the object function. We characterize the solutions of these problems in terms of fixed-point equations via the proximity operators of the functions that appear in the object function. Efficient algorithms are developed based on the characterization. We introduce the notion of the weakly firmly non-expansive operators to analyze the convergence of the proposed algorithms. Many well-known algorithms are re-interpreted as special cases of the proposed algorithms and new algorithms are shown numerically more efficient than the existing ones.

Room Reservation Information

Room Number:MB114
Date:02 / 01 / 2013
Time:12:20pm - 01:30pm