메뉴 건너뛰기




Volumn 26, Issue 3, 2009, Pages 395-407

Sparsest solutions of underdetermined linear systems via ℓq-minimization for 0 < q ≤ 1

Author keywords

[No Author keywords available]

Indexed keywords

MATRIXES; NUMERICAL SCHEMES;

EID: 62549128663     PISSN: 10635203     EISSN: 1096603X     Source Type: Journal    
DOI: 10.1016/j.acha.2008.09.001     Document Type: Article
Times cited : (667)

References (16)
  • 1
    • 55649115527 scopus 로고    scopus 로고
    • A simple proof of the restricted isometry property for random matrices
    • in press
    • R. Baraniuk, M. Davenport, R. DeVore, M. Wakin, A simple proof of the restricted isometry property for random matrices, Constr. Approx., in press
    • Constr. Approx
    • Baraniuk, R.1    Davenport, M.2    DeVore, R.3    Wakin, M.4
  • 2
    • 42649140570 scopus 로고    scopus 로고
    • The restricted isometry property and its implications for compressed sensing
    • Candès E.J. The restricted isometry property and its implications for compressed sensing. C. R. Acad. Sci. Sér. I 346 (2008) 589-592
    • (2008) C. R. Acad. Sci. Sér. I , vol.346 , pp. 589-592
    • Candès, E.J.1
  • 3
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • Candès E.J., Romberg J.K., and Tao T. Stable signal recovery from incomplete and inaccurate measurements. Comm. Pure Appl. Math. 59 (2006) 1207-1223
    • (2006) Comm. Pure Appl. Math. , vol.59 , pp. 1207-1223
    • Candès, E.J.1    Romberg, J.K.2    Tao, T.3
  • 4
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • Candès E.J., and Tao T. Decoding by linear programming. IEEE Trans. Inform. Theory 51 12 (2005) 4203-4215
    • (2005) IEEE Trans. Inform. Theory , vol.51 , Issue.12 , pp. 4203-4215
    • Candès, E.J.1    Tao, T.2
  • 5
    • 33947416035 scopus 로고    scopus 로고
    • Near-optimal signal recovery from random projections: Universal encoding strategies
    • Candès E.J., and Tao T. Near-optimal signal recovery from random projections: Universal encoding strategies. IEEE Trans. Inform. Theory 52 12 (2006) 5406-5425
    • (2006) IEEE Trans. Inform. Theory , vol.52 , Issue.12 , pp. 5406-5425
    • Candès, E.J.1    Tao, T.2
  • 7
    • 34548724437 scopus 로고    scopus 로고
    • Exact reconstruction of sparse signals via nonconvex minimization
    • Chartrand R. Exact reconstruction of sparse signals via nonconvex minimization. IEEE Signal Process. Lett. 14 (2007) 707-710
    • (2007) IEEE Signal Process. Lett. , vol.14 , pp. 707-710
    • Chartrand, R.1
  • 9
    • 33144483155 scopus 로고    scopus 로고
    • Stable recovery of sparse overcomplete representations in the presence of noise
    • Donoho D.L., Elad M., and Temlyakov V.N. Stable recovery of sparse overcomplete representations in the presence of noise. IEEE Trans. Inform. Theory 52 (2006) 6-18
    • (2006) IEEE Trans. Inform. Theory , vol.52 , pp. 6-18
    • Donoho, D.L.1    Elad, M.2    Temlyakov, V.N.3
  • 10
    • 34047182148 scopus 로고    scopus 로고
    • Highly sparse representations from dictionaries are unique and independent of the sparseness measure
    • Gribonval R., and Nielsen M. Highly sparse representations from dictionaries are unique and independent of the sparseness measure. Appl. Comput. Harmon. Anal. 22 (2007) 335-355
    • (2007) Appl. Comput. Harmon. Anal. , vol.22 , pp. 335-355
    • Gribonval, R.1    Nielsen, M.2
  • 11
    • 0029291966 scopus 로고
    • Sparse approximate solutions to linear systems
    • Natarajan B.K. Sparse approximate solutions to linear systems. SIAM J. Comput. 24 (1995) 227-234
    • (1995) SIAM J. Comput. , vol.24 , pp. 227-234
    • Natarajan, B.K.1
  • 12
    • 64749092799 scopus 로고    scopus 로고
    • Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit
    • in press
    • D. Needell, R. Vershynin, Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit, Found. Comput. Math., in press
    • Found. Comput. Math
    • Needell, D.1    Vershynin, R.2
  • 13
    • 30844451618 scopus 로고    scopus 로고
    • Fast implementation of orthogonal greedy algorithm for tight wavelet frames
    • Petukhov A. Fast implementation of orthogonal greedy algorithm for tight wavelet frames. Signal Process. 86 (2006) 471-479
    • (2006) Signal Process. , vol.86 , pp. 471-479
    • Petukhov, A.1
  • 14
    • 22844454658 scopus 로고    scopus 로고
    • Weak greedy algorithms
    • Temlyakov V.N. Weak greedy algorithms. Adv. Comput. Math. 12 (2000) 213-227
    • (2000) Adv. Comput. Math. , vol.12 , pp. 213-227
    • Temlyakov, V.N.1
  • 15
    • 21144435474 scopus 로고    scopus 로고
    • Nonlinear methods of approximation
    • Temlyakov V.N. Nonlinear methods of approximation. Found. Comput. Math. 3 (2003) 33-107
    • (2003) Found. Comput. Math. , vol.3 , pp. 33-107
    • Temlyakov, V.N.1
  • 16
    • 5444237123 scopus 로고    scopus 로고
    • Greed is good: Algorithmic results for sparse approximation
    • Tropp J.A. Greed is good: Algorithmic results for sparse approximation. IEEE Trans. Inform. Theory 50 (2004) 2231-2242
    • (2004) IEEE Trans. Inform. Theory , vol.50 , pp. 2231-2242
    • Tropp, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.