메뉴 건너뛰기




Volumn 59, Issue 5, 2011, Pages 1985-2001

Analyzing weighted ℓ1 minimization for sparse recovery with nonuniform sparse models

Author keywords

1 minimization; Compressed sensing; nonuniform sparsity

Indexed keywords

ARBITRARY NUMBER; COMPRESSED SENSING; GAUSSIAN MEASUREMENTS; NONUNIFORM; NONUNIFORM SPARSITY; OPTIMAL WEIGHT; RECOVERY ALGORITHMS; RIGOROUS ANALYSIS; SIGNAL VECTORS; SPARSE RECOVERY;

EID: 79954543366     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2011.2107904     Document Type: Article
Times cited : (98)

References (29)
  • 1
    • 33646479497 scopus 로고    scopus 로고
    • High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension
    • DOI 10.1007/s00454-005-1220-0
    • D. Donoho, "High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension," in Discrete and Computational Geometry. New York: Springer, 2006, vol. 102, pp. 617-652, (27). (Pubitemid 43701356)
    • (2006) Discrete and Computational Geometry , vol.35 , Issue.4 , pp. 617-652
    • Donoho, D.L.1
  • 2
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • DOI 10.1109/TIT.2005.858979
    • E. Candès and T. Tao, "Decoding by linear programming," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4203-4215, Dec. 2005. (Pubitemid 41800353)
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.12 , pp. 4203-4215
    • Candes, E.J.1    Tao, T.2
  • 6
    • 77954588549 scopus 로고    scopus 로고
    • Modified-CS: Modifying compressive sensing for problems with partially known support
    • Sep.
    • N. Vaswani and W. Lu, "Modified-CS: Modifying compressive sensing for problems with partially known support," IEEE Trans. Signal Process., vol. 58, no. 9, pp. 4595-4607, Sep. 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , Issue.9 , pp. 4595-4607
    • Vaswani, N.1    Lu, W.2
  • 9
    • 44849087307 scopus 로고    scopus 로고
    • Bayesian compressive sensing
    • DOI 10.1109/TSP.2007.914345
    • S. Ji, Y. Xue, and L. Carin, "Bayesian compressive sensing," IEEE Trans. Signal Process., vol. 56, no. 6, pp. 2346-2356, Jun. 2008. (Pubitemid 351795888)
    • (2008) IEEE Transactions on Signal Processing , vol.56 , Issue.6 , pp. 2346-2356
    • Ji, S.1    Xue, Y.2    Carin, L.3
  • 11
    • 68249141421 scopus 로고    scopus 로고
    • On the reconstruction of block-sparse signals with an optimal number of measurements
    • M. Stojnic, F. Parvaresh, and B. Hassibi, "On the reconstruction of block-sparse signals with an optimal number of measurements," IEEE Trans. Signal Process., vol. 57, no. 8, pp. 3075-3085, 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.8 , pp. 3075-3085
    • Stojnic, M.1    Parvaresh, F.2    Hassibi, B.3
  • 12
    • 57349174008 scopus 로고    scopus 로고
    • Enhancing sparsity by reweighted l1 minimization
    • E. J. Candès, M. Wakin, and S. Boyd, "Enhancing sparsity by reweighted l1 minimization," J. Fourier Anal. Appl., vol. 14, pp. 877-905.
    • J. Fourier Anal. Appl. , vol.14 , pp. 877-905
    • Candès, E.J.1    Wakin, M.2    Boyd, S.3
  • 14
    • 22144445039 scopus 로고
    • Grassmann angles of convex polytopes
    • B. Grünbaum, "Grassmann angles of convex polytopes," Acta Math., vol. 121, pp. 293-302, 1968.
    • (1968) Acta Math. , vol.121 , pp. 293-302
    • Grünbaum, B.1
  • 15
    • 14544270853 scopus 로고    scopus 로고
    • Convex polytopes
    • 2nd ed. New York: Springer-Verlag
    • B. Grünbaum, "Convex polytopes," in Graduate Texts in Mathematics, 2nd ed. New York: Springer-Verlag, 2003, vol. 221.
    • (2003) Graduate Texts in Mathematics , pp. 221
    • Grünbaum, B.1
  • 18
    • 84976038751 scopus 로고
    • Non-linear angle-sum relations for polyhedral cones and polytopes
    • P. McMullen, "Non-linear angle-sum relations for polyhedral cones and polytopes," Math. Proc. Cambridge Philos. Soc., vol. 78, no. 2, pp. 247-261, 1975.
    • (1975) Math. Proc. Cambridge Philos. Soc. , vol.78 , Issue.2 , pp. 247-261
    • McMullen, P.1
  • 19
    • 51449088938 scopus 로고    scopus 로고
    • Compressed sensing-Probabilistic analysis of a null-space characterization
    • Mar. 31-Apr.
    • M. Stojnic, W. Xu, and B. Hassibi, "Compressed sensing-Probabilistic analysis of a null-space characterization," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Mar. 31-Apr. 4, 2008, pp. 3377-3380.
    • (2008) Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. , vol.4 , pp. 3377-3380
    • Stojnic, M.1    Xu, W.2    Hassibi, B.3
  • 22
    • 50249087748 scopus 로고    scopus 로고
    • Compressed sensing meets bionformatics: A new DNA microarray architecture
    • San Diego, CA
    • O. Milenkovic, R. Baraniuk, and T. Simunic-Rosing, "Compressed sensing meets bionformatics: A new DNA microarray architecture," presented at the Inf. Theory Appl. Workshop, San Diego, CA, 2007.
    • (2007) Inf. Theory Appl. Workshop
    • Milenkovic, O.1    Baraniuk, R.2    Simunic-Rosing, T.3
  • 24
    • 68249161509 scopus 로고    scopus 로고
    • Recovering sparse signals using sparse measurement matrices in compressed DNA microarrays
    • Nov.
    • H. Vikalo, F. Parvaresh, S. Misra, and B. Hassibi, "Recovering sparse signals using sparse measurement matrices in compressed DNA microarrays," in Asilomor Conf., Nov. 2007.
    • (2007) Asilomor Conf.
    • Vikalo, H.1    Parvaresh, F.2    Misra, S.3    Hassibi, B.4
  • 25
    • 0040221640 scopus 로고
    • Gitterpunktanzahl im simplex und willssche vermutung
    • H. Hadwiger, "Gitterpunktanzahl im simplex und willssche vermutung," Math. Ann., vol. 239, pp. 271-288, 1979.
    • (1979) Math. Ann. , vol.239 , pp. 271-288
    • Hadwiger, H.1
  • 26
    • 29144489844 scopus 로고    scopus 로고
    • For most large underdetermined systems of linear equations the minimal l1-norm solution is also the sparsest solution
    • D. Donoho, "For most large underdetermined systems of linear equations the minimal l1-norm solution is also the sparsest solution," Comm. Pure Appl. Math., 2004.
    • (2004) Comm. Pure Appl. Math.
    • Donoho, D.1
  • 28
    • 79954491534 scopus 로고    scopus 로고
    • 1minimization for sparse recovery with nonuniform sparse models
    • [Online]
    • 1minimization for sparse recovery with nonuniform sparse models," Full Report [Online]. Available: http://arxiv.org/PS-cache/arxiv/ pdf/1009/1009.3525v1.pdf
    • Full Report
    • Khajehnejad, A.1    Yu, W.2    Avestimehr, A.S.3    Hassibi, B.4
  • 29
    • 79954553238 scopus 로고    scopus 로고
    • [Online]
    • Compresses Sensing Online Resources [Online]. Available: http://www.dsp.ece.rice.edu/cs/


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.