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20102026
most citedCertifying the restricted isometry property is hard

166 citations · 655 across the 82 of their papers we have counts for

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Showing 2012Show all

8 papers · 1 filter

math.ST2012★ 2 cited

Group Model Selection Using Marginal Correlations: The Good, the Bad and the Ugly

Waheed U. Bajwa, Dustin G. Mixon

Group model selection is the problem of determining a small subset of groups of predictors (e.g., the expression data of genes) that are responsible for majority of the variation i…

cs.IT2012

Phase retrieval with polarization

Boris Alexeev, Afonso S. Bandeira, Matthew Fickus +1

In many areas of imaging science, it is difficult to measure the phase of linear measurements. As such, one often wishes to reconstruct a signal from intensity measurements, that i…

math.FA2012

Group-theoretic constructions of erasure-robust frames

Matthew Fickus, John Jasper, Dustin G. Mixon +1

In the field of compressed sensing, a key problem remains open: to explicitly construct matrices with the restricted isometry property (RIP) whose performance rivals those generate…

math.FA2012★ 4 cited

Sparse Signal Processing with Frame Theory

Dustin G. Mixon

Many emerging applications involve sparse signals, and their processing is a subject of active research. We desire a large class of sensing matrices which allow the user to discern…

math.FA2012★ 166 cited

Certifying the restricted isometry property is hard

Afonso S. Bandeira, Edgar Dobriban, Dustin G. Mixon +1

This paper is concerned with an important matrix condition in compressed sensing known as the restricted isometry property (RIP). We demonstrate that testing whether a matrix satis…

math.FA2012★ 9 cited

The road to deterministic matrices with the restricted isometry property

Afonso S. Bandeira, Matthew Fickus, Dustin G. Mixon +1

The restricted isometry property (RIP) is a well-known matrix condition that provides state-of-the-art reconstruction guarantees for compressed sensing. While random matrices are k…