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On uniqueness of sparse signal recovery
Signal Processing, 2018Abstract A basic issue of sparse signal recovery (SSR) is to explore the condition of the uniqueness with regard to the solution of the relevant optimization framework. However, the standard uniqueness conditions, such as spark condition, NSP (null space property), RIP (restricted isometry property) and mutual coherence condition, are with respect to
Xiao-Li Hu +4 more
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Invariancy of Sparse Recovery Algorithms
IEEE Transactions on Information Theory, 2017In this paper, a property for sparse recovery algorithms, called invariancy , is introduced. The significance of invariancy is that the performance of the algorithms with this property is less affected when the sensing (i.e., the dictionary) is ill-conditioned.
Milad Kharratzadeh +2 more
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Subspace penalized sparse learning for joint sparse recovery
2013 IEEE International Conference on Acoustics, Speech and Signal Processing, 2013The multiple measurement vector problem (MMV) is a generalization of the compressed sensing problem that addresses the recovery of a set of jointly sparse signal vectors. One of the important contributions of this paper is to reveal that the seemingly least related state-of-art MMV joint sparse recovery algorithms - M-SBL (multiple sparse Bayesian ...
Jong Chul Ye +2 more
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Bootstrapped sparse Bayesian learning for sparse signal recovery
2014 48th Asilomar Conference on Signals, Systems and Computers, 2014In this article we study the sparse signal recovery problem in a Bayesian framework using a novel Bootstrapped Sparse Bayesian Learning method. Sparse Bayesian Learning (SBL) framework is an effective tool for pruning out the irrelevant features and ending up with a sparse representation.
Ritwik Giri, Bhaskar D. Rao
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Sparse recovery and Kronecker products
2010 44th Annual Conference on Information Sciences and Systems (CISS), 2010In this note will consider sufficient conditions for sparse recovery such as Spark, coherence, restricted isometry property (RIP) and null space property (NSP). Then we will discuss the solution of underdetermined linear equations when the matrix is the Kronecker product of matrices. Specially we will explain how NSP behave in the case where the matrix
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Sparse Recovery-Based Error Concealment
IEEE Transactions on Multimedia, 2017no ...
Akbari, Ali +2 more
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Sparse Recovery with Brownian Sensing.
2011We consider the problem of recovering the parameter α of a sparse function f (i.e. the number of non-zero entries of α is small compared to the number K of features) given noisy evaluations of f at a set of well-chosen sampling points. We introduce an additional randomization process, called Brownian sensing, based on the computation of stochastic ...
Carpentier, Alexandra +2 more
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Group Sparse Optimization for Images Recovery Using Capped Folded Concave Functions
SIAM Journal on Imaging Sciences, 2021Xiaojun Chen
exaly

