First-order Convex Optimization Methods for Signal and Image Processing (2011)
Abstract / truncated to 115 words
In this thesis we investigate the use of first-order convex optimization methods applied to problems in signal and image processing. First we make a general introduction to convex optimization, first-order methods and their iteration complexity. Then we look at different techniques, which can be used with first-order methods such as smoothing, Lagrange multipliers and proximal gradient methods. We continue by presenting different applications of convex optimization and notable convex formulations with an emphasis on inverse problems and sparse signal processing. We also describe the multiple-description problem. We finally present the contributions of the thesis. The remaining parts of the thesis consist of five research papers. The first paper addresses non-smooth first-order convex optimization and the ...
first-order methods – optimal methods – convex optimization – signal and image processing – inverse problems – sparse signal processing
Information
- Author
- Jensen, Tobias Lindstrøm
- Institution
- Aalborg University
- Supervisors
- Publication Year
- 2011
- Upload Date
- May 28, 2013
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