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On the gap between local recovery guarantees in structured compressed sensing and oracle estimates

Presented by: 
Claire Boyer Université Pierre et Marie Curie Paris
Date: 
Thursday 18th January 2018 - 11:00 to 11:45
Venue: 
INI Seminar Room 1
Abstract: 
This is an on-going work with Ben Adcock and Simone Brugiapaglia (Simon Fraser University, Burnaby). First we will introduce a compressed sensing (CS) theory more compatible with real-life applications: we derive guarantees to ensure reconstruction of a structured sparse signal of interest while imposing structure in the acquisition (no Gaussian measurements here...). We will study how far those CS results are from oracle-type guarantees, and we will show that they are similar in terms of the required number of measurements. These results give an insight to design new optimal sampling strategies when realistic physical constraints are imposed in the acquisition.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons