Sparse and Redundant Representations and Their Applications in

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Presentation transcript:

Sparse and Redundant Representations and Their Applications in Signal and Image Processing (236862) Section 2: Uncertainty & Uniqueness of Sparse Solutions Winter Semester, 2017/2018 Michael (Miki) Elad

Meeting Plan Quick review of the material covered Answering questions from the students and getting their feedback Addressing issues raised by other learners Discussing a new material Administrative issues

Overview of the Material Theoretical Analysis of the Two-Ortho Case The Two-Ortho Case An Uncertainty Principle From Uncertainty to Uniqueness Theoretical Analysis of the General Case Introducing the Spark Uniqueness for the General Case via the Spark Uniqueness via the Mutual-Coherence Spark-Coherence Relation: A Proof Uniqueness via the Babel-Function Upper-Bounding the Spark Demo - Upper Bounding the Spark Constructing Grassmanian Matrices Demo - Constructing Grassmanian Matrices

Your Questions and Feedback

Issues Raised by Other Learners What is the mutual-coherence of a unitary matrix? What is the Spark of the [I,F] two-ortho matrix? The proof about the connection between the Spark and the mutual coherence – Shall we go through it again?

New Material? Lets discuss: Why bother with the Two-Ortho ? Candes, Romberg & Tao: Robust Uncertainty

Administrative Issues Matlab Online Reversed Slides