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Compressed Sensing

MA5352Elective Modules5 ECTSEnglishUnregelmäßigDepartment Mathematics
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You learn how to reconstruct sparse signals from a few structured linear measurements and which measurement matrices guarantee reliable recovery. In the end you can formulate important recovery statements, apply the Restricted Isometry Property (RIP) to random matrices, and use the underlying probabilistic proof techniques.

What you will be able to do

  • Name and compare RIP results for random measurement matrices
  • Derive recovery guarantees for Compressed Sensing
  • Understand proof methods such as covering arguments and chaining
  • Transfer proof techniques to related problems

What the module consists of

  • VorlesungVermittlung der Theorie zu RIP, l1-Minimierung und probabilistischen Methoden
  • Übungsblätter (alle zwei Wochen)Selbstständiges Lösen von Aufgaben zur Vertiefung
  • Recitation / Übungspräsentation (alle zwei Wochen)Präsentation und Diskussion der Lösungen in Zweiergruppen

Teaching method

  • Tafelvorlesungensystematische Einführung in Theorie und Beweistechniken
  • Biwöchentliche Übungsblätter mit Gruppen-Writeupsaktive Anwendung und Vertiefung des Stoffs; fördert Präsentations- und Beweisfähigkeiten
  • Recitationen mit PräsentationenEinübung der Darstellung mathematischer Lösungen und Peer-Feedback
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Official page in TUMonline · Details are not binding.