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We consider the problem of recovering an invertible $n \times n$ matrix $A$ and a sparse $n \times p$ random matrix $X$ based on the observation of $Y = AX$ (up to a scaling and permutation of columns of $A$ and rows of $X$).
M. Ledoux and M. Talagrand, Probability in Banach spaces , Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 23, Springer-Verlag, Berlin, 1991, Isoperimetry and processes
1991
Earlier work this paper cites.
B. Olshausen and D. Field, Emergence of simple-cell receptive field properties by learning a sparse code for natural images , Nature 381
1996
Earlier work this paper cites.
A. W. van der Vaart and J. A. Wellner, Weak convergence and empirical processes , Springer Series in Statistics, Springer-Verlag, New York, 1996, With applications to statistics
1996
Earlier work this paper cites.
Víctor H. de la Peña and Evarist Giné, Decoupling , Probability and its Applications (New York), Springer-Verlag, New York, 1999, From dependence to independence, Randomly stopped processes. U U -statistics and processes. Martingales and beyond
1999
Earlier work this paper cites.
2001
Earlier work this paper cites.
K. Kreutz-Delgado, J. Murray, B. Rao, K. Engan, T. Lee, and T. Sejnowski, Dictionary learning algorithms for sparse representation , Neural Computation 15
2003
Earlier work this paper cites.
P. Georgiev, F. Theis, and A. Cichocki, Sparse component analysis and blind source separation of underdetermined mixtures , IEEE Transactions on Neural Networks 16
2005
Cited alongside, same era.
S. Mendelson, On weakly bounded empirical processes , Math. Ann. 340
2008
Cited alongside, same era.
A. M. Bruckstein, D. L. Donoho, and M. Elad, From sparse solutions of systems of equations to sparse modeling of signals and images , SIAM Rev. 51
2009
Cited alongside, same era.
R. Adamczak, A. E. Litvak, A. Pajor, and N. Tomczak-Jaegermann, Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles , J. Amer. Math. Soc. 23
2010
Cited alongside, same era.
R. Rubinstein, A. Bruckstein, and M. Elad, Dictionaries for sparse representation modeling , Proceedings of the IEEE 98
2010
Cited alongside, same era.
J. Yang, J. Wright, T. S. Huang, and Y. Ma, Image super-resolution via sparse representation , IEEE Trans. Image Process. 19
2010
Later among the works it cites.
D. Spielman, H. Wang, and J. Wright, Exact recovery of sparsely-used dictionaries , Journal of Machine Learning Research: Workshop and Conference Proceedings 23
2012
Later among the works it cites.
D. Spielman, H. Wang, and J. Wright, Exact recovery of sparsely-used dictionaries , preprint, http://www.columbia.edu/~jw2966 (2012)
2012
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2015
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