Introduction to finite frame theory

PG Casazza, G Kutyniok, F Philipp - Finite frames: theory and applications, 2013 - Springer
To date, frames have established themselves as a standard notion in applied mathematics,
computer science, and engineering as a means to derive redundant, yet stable …

[BUCH][B] Compressed sensing: theory and applications

YC Eldar, G Kutyniok - 2012 - books.google.com
Compressed sensing is an exciting, rapidly growing field, attracting considerable attention in
electrical engineering, applied mathematics, statistics and computer science. This book …

[PDF][PDF] Introduction to compressed sensing.

In recent years, compressed sensing (CS) has attracted considerable attention in areas of
applied mathematics, computer science, and electrical engineering by suggesting that it may …

Block-sparse recovery via convex optimization

E Elhamifar, R Vidal - IEEE Transactions on Signal Processing, 2012 - ieeexplore.ieee.org
Given a dictionary that consists of multiple blocks and a signal that lives in the range space
of only a few blocks, we study the problem of finding a block-sparse representation of the …

Theory and applications of compressed sensing

G Kutyniok - GAMM‐Mitteilungen, 2013 - Wiley Online Library
Compressed sensing is a novel research area, which was introduced in 2006, and since
then has already become a key concept in various areas of applied mathematics, computer …

C-HiLasso: A collaborative hierarchical sparse modeling framework

P Sprechmann, I Ramirez, G Sapiro… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
Sparse modeling is a powerful framework for data analysis and processing. Traditionally,
encoding in this framework is performed by solving an l 1-regularized linear regression …

Robust sparse analysis regularization

S Vaiter, G Peyré, C Dossal… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
This paper investigates the theoretical guarantees of ℓ^1-analysis regularization when
solving linear inverse problems. Most of previous works in the literature have mainly focused …

Sparse sensing and DMD-based identification of flow regimes and bifurcations in complex flows

B Kramer, P Grover, P Boufounos, S Nabi… - SIAM Journal on Applied …, 2017 - SIAM
We present a sparse sensing framework based on dynamic mode decomposition (DMD) to
identify flow regimes and bifurcations in large-scale thermofluid systems. Motivated by real …

[BUCH][B] Practical compressed sensing: modern data acquisition and signal processing

SR Becker - 2011 - search.proquest.com
Since 2004, the field of compressed sensing has grown quickly and seen tremendous
interest because it provides a theoretically sound and computationally tractable method to …

Efficient compressed sensing SENSE pMRI reconstruction with joint sparsity promotion

IY Chun, B Adcock, TM Talavage - IEEE transactions on …, 2015 - ieeexplore.ieee.org
The theory and techniques of compressed sensing (CS) have shown their potential as a
breakthrough in accelerating k-space data acquisition for parallel magnetic resonance …