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P7: Sparse Solutions of Systems of Equations and Sparse Modelling of Signals and Images

Author: Alfredo Nava-Tudela , Advisor: John J. Benedetto (Mathematics & Norbert Wiener Center)


Problem Statement Presentation

Project Proposal

Abstract
We are interested in finding sparse solutions to systems of linear equations Ax = b, where A is underdetermined and fully-ranked, as presented in [1]. In this report we examine an implementation of the orthogonal matching pursuit algorithm, an algorithm to find sparse solutions to equations like the one described above, and present a logic for its validation and corresponding validation results.



MidYear Progress Report and Presentation

Final Presentation, Final Report