Morphological Diversity and Sparsity for Multichannel Data Restoration
Journal of Mathematical Imaging and Vision
A plurality of sparse representations is better than the sparsest one alone
IEEE Transactions on Information Theory
Data-driven image completion by image patch subspaces
PCS'09 Proceedings of the 27th conference on Picture Coding Symposium
Sparse approximate solution of partial differential equations
Applied Numerical Mathematics
Multirate synchronous sampling of sparse multiband signals
IEEE Transactions on Signal Processing
Double sparsity: learning sparse dictionaries for sparse signal approximation
IEEE Transactions on Signal Processing
A restricted isometry property for structurally-subsampled unitary matrice
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Reconstructing FT-IR spectroscopic imaging data with a sparse prior
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Variance-component based sparse signal reconstruction and model selection
IEEE Transactions on Signal Processing
Time-frequency energy distributions meet compressed sensing
IEEE Transactions on Signal Processing
An adaptive greedy algorithm with application to nonlinear communications
IEEE Transactions on Signal Processing
Concave programming for minimizing the zero-norm over polyhedral sets
Computational Optimization and Applications
Mathematics of Operations Research
Dense error correction via l1-minimization
IEEE Transactions on Information Theory
A distributed sensor fusion algorithm for the inversion of sparse fields
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
SPARLS: the sparse RLS algorithm
IEEE Transactions on Signal Processing
Iterative signal recovery from incomplete samples: technical perspective
Communications of the ACM
IEEE Transactions on Signal Processing
Glimpsing IVA: a framework for overcomplete/complete/undercomplete convolutive source separation
IEEE Transactions on Audio, Speech, and Language Processing - Special issue on processing reverberant speech: methodologies and applications
Coherence-based performance guarantees for estimating a sparse vector under random noise
IEEE Transactions on Signal Processing
Sparse representation: extract adaptive neighborhood for multilabel classification
PRICAI'10 Proceedings of the 11th Pacific Rim international conference on Trends in artificial intelligence
Blind compressed sensing: theory
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Sparse representations and approximation theory
Journal of Approximation Theory
A non-adapted sparse approximation of PDEs with stochastic inputs
Journal of Computational Physics
SIAM Journal on Scientific Computing
Identification of switched linear systems via sparse optimization
Automatica (Journal of IFAC)
Adaptive algorithms for sparse system identification
Signal Processing
Face classification via sparse approximation
BioID'11 Proceedings of the COST 2101 European conference on Biometrics and ID management
Sparse fusion frames: existence and construction
Advances in Computational Mathematics
On inferring image label information using rank minimization for supervised concept embedding
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
Pixel-level image fusion with simultaneous orthogonal matching pursuit
Information Fusion
Emerging topic detection using dictionary learning
Proceedings of the 20th ACM international conference on Information and knowledge management
The Sample Complexity of Dictionary Learning
The Journal of Machine Learning Research
Large Scale Bayesian Inference and Experimental Design for Sparse Linear Models
SIAM Journal on Imaging Sciences
Recovering Low-Rank and Sparse Components of Matrices from Incomplete and Noisy Observations
SIAM Journal on Optimization
SIAM Journal on Optimization
Controversy Corner: Reversible data hiding of high payload using local edge sensing prediction
Journal of Systems and Software
Efficient minimization for dictionary based sparse representation and signal recovery
Proceedings of the 4th International Symposium on Applied Sciences in Biomedical and Communication Technologies
Iterative reweighted l1 design of sparse FIR filters
Signal Processing
An almost optimal unrestricted fast Johnson-Lindenstrauss transform
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
Column subset selection via sparse approximation of SVD
Theoretical Computer Science
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Foundations and Trends® in Machine Learning
Block component analysis, a new concept for blind source separation
LVA/ICA'12 Proceedings of the 10th international conference on Latent Variable Analysis and Signal Separation
On single image scale-up using sparse-representations
Proceedings of the 7th international conference on Curves and Surfaces
Alternating Direction Method for Covariance Selection Models
Journal of Scientific Computing
Sparse Modeling of Human Actions from Motion Imagery
International Journal of Computer Vision
Coherence Pattern-Guided Compressive Sensing with Unresolved Grids
SIAM Journal on Imaging Sciences
Dictionary Learning for Noisy and Incomplete Hyperspectral Images
SIAM Journal on Imaging Sciences
Experimental Design for Biological Systems
SIAM Journal on Control and Optimization
Analysis of a random forests model
The Journal of Machine Learning Research
Registration for correlative microscopy using image analogies
WBIR'12 Proceedings of the 5th international conference on Biomedical Image Registration
Computers and Electrical Engineering
If you are happy and you know it... tweet
Proceedings of the 21st ACM international conference on Information and knowledge management
Dictionary based sparse representation for domain adaptation
Proceedings of the 21st ACM international conference on Information and knowledge management
Computational Optimization and Applications
Two dimensional K-SVD for the analysis sparse dictionary
PCM'12 Proceedings of the 13th Pacific-Rim conference on Advances in Multimedia Information Processing
Simultaneous image fusion and super-resolution using sparse representation
Information Fusion
i-Vector with sparse representation classification for speaker verification
Speech Communication
An Almost Optimal Unrestricted Fast Johnson-Lindenstrauss Transform
ACM Transactions on Algorithms (TALG) - Special Issue on SODA'11
The Journal of Machine Learning Research
Classification approach based on non-negative least squares
Neurocomputing
Learned shrinkage approach for low-dose reconstruction in computed tomography
Journal of Biomedical Imaging
Robust periocular recognition by fusing local to holistic sparse representations
Proceedings of the 6th International Conference on Security of Information and Networks
Rapid speaker adaptation using compressive sensing
Speech Communication
Attribute-efficient evolvability of linear functions
Proceedings of the 5th conference on Innovations in theoretical computer science
Computational Optimization and Applications
An infeasible-point subgradient method using adaptive approximate projections
Computational Optimization and Applications
Hi-index | 0.17 |
A full-rank matrix ${\bf A}\in \mathbb{R}^{n\times m}$ with $n Such theoretical results inspire a bold perspective on some important practical problems in signal and image processing. Several well-known signal and image processing problems can be cast as demanding solutions of undetermined systems of equations. Such problems have previously seemed, to many, intractable, but there is considerable evidence that these problems often have sparse solutions. Hence, advances in finding sparse solutions to underdetermined systems have energized research on such signal and image processing problems—to striking effect. In this paper we review the theoretical results on sparse solutions of linear systems, empirical results on sparse modeling of signals and images, and recent applications in inverse problems and compression in image processing. This work lies at the intersection of signal processing and applied mathematics, and arose initially from the wavelets and harmonic analysis research communities. The aim of this paper is to introduce a few key notions and applications connected to sparsity, targeting newcomers interested in either the mathematical aspects of this area or its applications.