Algorithms for Sparsity-Constrained Optimization

• Main Author: Bahmani, Sohail (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research, 261
• Subjects: Engineering.; Image processing.; Computer science > Mathematics.; Computer mathematics.; Signal, Image and Speech Processing.; Mathematical Applications in Computer Science.; Image Processing and Computer Vision.

This thesis demonstrates techniques that provide faster and more accurate solutions to a variety of problems in machine learning and signal processing. The author proposes a"greedy" algorithm, deriving sparse solutions with guarantees of optimality. The use of this algorithm removes many o...

Table of Contents:

• Introduction
• Preliminaries
• Sparsity-Constrained Optimization
• Background
• 1-bit Compressed Sensing
• Estimation Under Model-Based Sparsity
• Projected Gradient Descent for `p-constrained Least Squares
• Conclusion and Future Work.