Publications Journal Papers

Sparse Representation Practice

M. Scetbon, M. Elad, and P. Milanfar, Deep K-SVD Denoising, submitted to IEEE Transactions on Pattern Analysis and Machine Intelligence. software
D. Simon, J. Sulam, Y. Romano, Y.M. Lu, and M. Elad, MMSE Approximation For Sparse Coding Algorithms Using Stochastic Resonance, IEEE Transactions on Signal Processing, Vol. 67, No. 17, Pages 4597-4610, September 2019.
I. Rey-Otero, J. Sulam, and M. Elad, Variations on the CSC model, submitted to IEEE Transactions on Signal Processing.
J. Sulam, V. Papyan, Y. Romano, and M. Elad, Multi-Layer Convolutional Sparse Modeling: Pursuit and Dictionary Learning, IEEE Trans. on Signal Processing, Vol. 66, No. 15, Pages 4090-4104, August 2018.
V. Papyan, Y. Romano, J. Sulam, and M. Elad, Theoretical Foundations of Deep Learning via Sparse Representations, IEEE Signal Processing Magazine, Vol. 35, No. 4, Pages 72-89, June 2018.
J. Sulam and M. Elad, Large Inpainting of Face Images with Trainlets, IEEE Signal Processing Letters, Vol. 23, No. 12, Pages 1839-1843, December 2016.
A. Golts and M. Elad, Linearized Kernel Dictionary Learning, IEEE Journal of Selected Topics in Signal Processing, Vol. 10, No. 4, Pages 726-739, June 2016. software
J. Sulam, B. Ophir, M. Zibulevsky and M. Elad, Trainlets: Dictionary Learning in High Dimensions, IEEE Transactions on Signal Processing, Vol. 64, No. 12, Pages 3180-3193, June 2016. software
W. Shao and M. Elad, Bi-l0-l2-Norm Regularization for Blind Motion Deblurring, Journal of Visual Communication and Image Representation, Vol. 33, Pages 42-59, November 2015.
A. Adler, M. Elad, and Y. Hel-Or, Linear-Time Subspace Clustering Via Bipartite Graph Modeling, IEEE Transactions on Neural Networks and Learning Systems Vol. 26, No. 10, Pages 2234-2246, October 2015.
A. Adler, M. Elad, Y. Hel-Or, and E. Rivlin, Sparse coding with Anomaly Detection, Springer Journal on Signal Processing Systems, Vol. 79, No. 2 Pages 179-188, May 2015.
J.S. Turek, M. Elad, and I. Yavneh, Clutter Mitigation in Echocardiography Using Sparse Signal Separation, International Journal of Biomedical Imaging, March 2015.
R. Giryes and M. Elad, Sparsity Based Poisson Denoising with Dictionary Learning, IEEE Transactions on Image Processing, Vol. 23, No. 12, Pages 5057-5069, December 2014.
R. Rubinstein and M. Elad, Dictionary Learning for Analysis-Synthesis Thresholding, IEEE Transactions on Signal Processing, Vol. 62, No. 22, November 2014.
Y. Romano, M. Protter, and M. Elad, Single Image Interpolation via Adaptive Non-Local Sparsity-Based Modeling, IEEE Transactions on Image Processing, Vol. 23 No. 7 Pages 3085-3098, July 2014.
T. Peleg and M. Elad, A Statistical Prediction Model Based on Sparse Representations for Single Image Super-Resolution, IEEE Transactions on Image Processing, Vol. 23, No. 6, Pages 2569-2582, June 2014. software
J. Shtok, M. Elad, and M. Zibulevsky, Learned Shrinkage Approach For Low-Dose Reconstruction in Computed Tomography, International Journal of Biomedical Imaging, Vol. 2013, June 2013.
R. Rubinstein, T. Peleg and M. Elad, Analysis K-SVD: A Dictionary-Learning Algorithm for the Analysis Sparse Model, IEEE Trans. on Signal Processing, Vol. 61, No. 3, Pages 661-677, March 2013. software
L.N. Smith and M. Elad, Improving Dictionary Learning: Multiple Dictionary Updates and Coefficient Reuse, IEEE Signal Processing Letters, Vol. 20, No. 1, Pages 79-82, January 2013. software
A. Adler, M. Elad, and Y. Hel-Or, Probabilistic Subspace Clustering via Sparse Representations, IEEE Signal Processing Letters, Vol. 20, No. 1, Pages 63-66, January 2013.
M. Elad, Sparse and Redundant Representation Modeling — What Next?, IEEE Signal Processing Letters, Vol. 19, No. 12, Pages 922-928, December 2012.
I. Ram, M. Elad, and I. Cohen, Redundant Wavelets on Graphs and High Dimensional Data Clouds, IEEE Signal Processing Letters, Vol. 19, No. 5, Pages 291-294, May 2012.
T. Peleg, Y.C. Eldar, and M. Elad, Exploiting Statistical Dependencies in Sparse Representations for Signal Recovery, IEEE Trans. on Signal Processing, Vol. 60, No. 5, Pages 2286-2303, May 2012. software
A. Adler, V. Emiya, M.G. Jafari, M. Elad, R. Gribonval and M.D. Plumbley, Audio Inpainting, IEEE Trans. on Audio, Speech and Language Processing, Vol. 20, No. 3, Pages. 922-932, March 2012.
S. Nam, M.E. Davies, M. Elad, and R. Gribonval, The Cosparse Analysis Model and Algorithms, Applied and Computational Harmonic Analysis, Vol. 34, No. 1, Pages 30-56, January 2013.
B. Ophir, M. Lustig, and M. Elad, Multi-Scale Dictionary Learning using Wavelets, IEEE Selected Topics in Signal Processing, Vol. 5, No. 5, Pages 1014-1024, September 2011.
J.S. Turek, I. Yavneh, and M. Elad, On MMSE and MAP Denoising Under Sparse Representation Modeling Over a Unitary Dictionary, IEEE Transactions on Signal Processing, Vol. 59, No. 8, Pages 3526-3535, August 2011.
R. Giryes, M. Elad, and Y.C. Eldar, The projected GSURE for automatic parameter tuning in iterative shrinkage methods, Applied and Computational Harmonic Analysis, Vol. 30, No. 3, Pages 407-422, May 2011.
M. Zibulevsky and M. Elad, L1-L2 Optimization in Signal and Image Processing, IEEE Signal Processing Magazine, Vol. 27, No. 3, Pages 76-88, May 2010.
R. Rubinstein, A.M. Bruckstein, and M. Elad, Dictionaries for Sparse Representation Modeling, IEEE Proceedings - Special Issue on Applications of Sparse Representation & Compressive Sensing, Vol. 98, No. 6, Pages 1045-1057, April 2010.
M. Elad, M.A.T. Figueiredo, and Y. Ma, On the Role of Sparse and Redundant Representations in Image Processing, IEEE Proceedings - Special Issue on Applications of Sparse Representation & Compressive Sensing, Vol. 98, No. 6, Pages 972-982, April 2010.
R. Rubinstein, M. Zibulevsky, and M. Elad, Double Sparsity: Learning Sparse Dictionaries for Sparse Signal Approximation, IEEE Transactions on Signal Processing, Vol. 58, No. 3, Pages 1553-1564, March 2010.
J.M. Fadili, J.-L. Starck, M. Elad and D.L. Donoho, Reproducible Research in Signal and Image Decomposition and Inpainting, Computing in Science & Rngineering, Vol. 12 No. 1, Pages 44-62, January 2010.
M. Elad and I. Yavneh, A Plurality of Sparse Representations is Better Than the Sparsest One Alone, IEEE Transactions on Information Theory, Vol. 55, No. 10, Pages 4701-4714, October 2009.
A.M. Bruckstein, D.L. Donoho, and M. Elad, From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images, SIAM Review, Vol. 51, No. 1, Pages 34-81, February 2009.
M. Protter and Michael Elad, Image Sequence Denoising Via Sparse and Redundant Representations, IEEE Trans. on Image Processing, Vol. 18, No. 1, Pages 27-36, January 2009.
M. Aharon and M. Elad, Sparse and Redundant Modeling of Image Content Using an Image-Signature-Dictionary, SIAM Journal on Imaging Sciences, Vol. 1, No. 3, Pages 228-247, July 2008.
O. Bryt and M. Elad, Compression of Facial Images Using the K-SVD Algorithm, Journal of Visual Communication and Image Representation, Vol. 19, No. 4, Pages 270-283, May 2008.
J. Mairal, G. Sapiro, and M. Elad, Learning Multiscale Sparse Representations for Image and Video Restoration, SIAM Multiscale Modeling and Simulation, Vol. 7, No. 1, Pages 214-241, April 2008.
J. Mairal, M. Elad, and G. Sapiro, Sparse Representation for Color Image Restoration, IEEE Trans. on Image Processing, Vol. 17, No. 1, Pages 53-69, January 2008.
M. Elad, Optimized Projections for Compressed-Sensing, IEEE Transactions on Signal Processing, Vol. 55, No. 12, Pages 5695-5702, December 2007. software
M. Elad, B. Matalon, and M. Zibulevsky, Coordinate and Subspace Optimization Methods for Linear Least Squares with Non-Quadratic Regularization, Applied and Computational Harmonic Analysis, Vol. 23, pp. 346-367, November 2007.
M. Elad, P. Milanfar, and R. Rubinstein, Analysis Versus Synthesis in Signal Priors, Inverse Problems. Vol. 23, no. 3, Pages 947-968, June 2007.
E. Kidron, Y.Y. Schechner, and M. Elad, Cross-Modality Localization via Sparsity, IEEE Trans. On Signal Processing, Vol. 55, no. 4, pp. 1390-1404, April 2007.
M. Elad and M. Aharon, Image Denoising Via Sparse and Redundant representations over Learned Dictionaries, IEEE Trans. on Image Processing, Vol. 15, no. 12, pp. 3736-3745, December 2006.
M. Elad, Why Simple Shrinkage is Still Relevant for Redundant Representations?, IEEE Trans. On Information Theory, Vol. 52, no. 12, pp. 5559-5569, December 2006. software
M. Aharon, M. Elad, and A.M. Bruckstein, The K-SVD: An Algorithm for Designing of Overcomplete Dictionaries for Sparse Representation, IEEE Trans. On Signal Processing, Vol. 54, no. 11, pp. 4311-4322, November 2006. software
J. Bobin, Y. Moudden, J.-L. Starck, and M. Elad, Morphological Diversity and Source Separation, the IEEE Signal Processing Letters, Vol. 13, no. 7, pp. 409-412, July 2006.
M. Aharon, M. Elad, and A.M. Bruckstein, On the Uniqueness of Overcomplete Dictionaries, and a Practical Way to Retrieve Them, the Journal of Linear Algebra and Applications, Vol. 416, pp. 48-67, July 2006.
D.L. Donoho, M. Elad, and V. Temlyakov, Stable Recovery of Sparse Overcomplete Representations in the Presence of Noise, the IEEE Trans. On Information Theory, Vol. 52, pp. 6-18, January 2006. software
M. Elad, J-L. Starck, P. Querre, and D.L. Donoho, Simultaneous Cartoon and Texture Image Inpainting Using Morphological Component Analysis (MCA), Journal on Applied and Computational Harmonic Analysis, Vol. 19, pp. 340-358, November 2005.
J.L. Starck, M. Elad, and D.L. Donoho, Image decomposition via the combination of sparse representations and a variational approach, the IEEE Trans. On Image Processing, Vol. 14, No. 10, pp. 1570-1582, October 2005.
J.-L. Starck, M. Elad, and D.L. Donoho, Redundant Multiscale Transforms and their Application for Morphological Component Analysis, the Journal of Advances in Imaging and Electron Physics, Vol. 132, pp. 287-348, 2004.
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