Fetching the paper…
Reading the bibliography…
An unknown vector f in R^n can be recovered from corrupted measurements y = Af + e where A^(m*n)(m>n) is the coding matrix if the unknown error vector e is sparse.
D. L. Donoho and J. Tanner, “Sparse nonnegative solution of underdetermined linear equations by linear programming,” in Proc. Natl. Acad. Sci. U.S.A. , vol. 102, no. 27, 2005, pp. 9446–9451
2005
Earlier work this paper cites.
E. Candès and T. Tao, “Decoding by linear programming,” IEEE Trans. Inf. Theory , vol. 51, no. 12, pp. 4203–4215, Dec. 2005
2005
Earlier work this paper cites.
D. Donoho, “Compressed sensing,” IEEE Trans. Inf. Theory , vol. 52, no. 4, pp. 1289–1306, April 2006
2006
Earlier work this paper cites.
——, “Near-optimal signal recovery from random projections: Universal encoding strategies?” IEEE Trans. Inf. Theory , vol. 52, no. 12, pp. 5406–5425, Dec. 2006
2006
Earlier work this paper cites.
2006
Earlier work this paper cites.
R. Chartrand, “Exact reconstruction of sparse signals via nonconvex minimization,” Signal Process.Lett. , vol. 14, no. 10, pp. 707–710, 2007
2007
Cited alongside, same era.
——, “Nonconvex compressed sensing and error correction,” in Proc. ICASSP , 2007
2007
Cited alongside, same era.
C. Dwork, F. McSherry, and K. Talwar, “The price of privacy and the limits of lp decoding,” in Proc. STOC , 2007, pp. 85–94
2007
Cited alongside, same era.
M. Stojnic, W. Xu, and B. Hassibi, “Compressed sensing - probabilistic analysis of a null-space characterization,” in Proc. ICASSP , 2008, pp. 3377–3380
2008
Cited alongside, same era.
M. Ledoux, Ed., The Concentration of Measure Phenomenon . American Mathematical Society
Cited in the paper.
J. Wright and Y. Ma, “Dense error correction via l 1 l^{1} minimization,” Preprint , 2008
2008
Later among the works it cites.
R. Saab, R. Chartrand, and O. Yilmaz, “Stable sparse approximations via nonconvex optimization,” in Proc. ICASSP , 2008
2008
Later among the works it cites.
M. E. Davies and R. Gribonval, “Restricted isometry constants where l p l_{p}
2009
Later among the works it cites.
S. Foucart and M.-J. Lai, “Sparsest solutions of underdetermined linear systems via l q l_{q} -minimization for 0 < q ≤ 1 0<q\leq 1 ,” Applied and Computational Harmonic Analysis , vol. 26, no. 3, pp. 395 – 407, 2009
2009
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…