메뉴 건너뛰기




Volumn 60, Issue 7, 2014, Pages 3989-4000

Sparse approximation and recovery by greedy algorithms

Author keywords

Greedy algorithms; Lebesgue type inequality; orthogonal matching pursuit; probability; sparse approximation

Indexed keywords

BANACH SPACES; HILBERT SPACES; MATRIX ALGEBRA; PROBABILITY; RECOVERY; VECTOR SPACES;

EID: 84902970934     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2014.2320932     Document Type: Article
Times cited : (30)

References (22)
  • 1
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • DOI 10.1109/TIT.2005.858979
    • E. J. 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
  • 2
    • 84902980284 scopus 로고    scopus 로고
    • Shifting inequality and recovery for sparse signals
    • Nov.
    • T. T. Cai, L. Wang, and G. Xu, "Shifting inequality and recovery for sparse signals," IEEE Trans. Inf. Theory, vol. 57, no. 11, pp. 4689-4708, Nov. 2011
    • (2011) IEEE Trans. Inf. Theory , vol.57 , Issue.11 , pp. 4689-4708
    • Cai, T.T.1    Wang, L.2    Xu, G.3
  • 3
    • 65749110333 scopus 로고    scopus 로고
    • Subspace pursuit for compressive sensing signal reconstruction
    • May
    • W. Dai and O. Milenkovic, "Subspace pursuit for compressive sensing signal reconstruction," IEEE Trans. Inf. Theory, vol. 55, no. 5, pp. 2230-2249, May 2009
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.5 , pp. 2230-2249
    • Dai, W.1    Milenkovic, O.2
  • 4
    • 34447622649 scopus 로고    scopus 로고
    • On Lebesgue type inequalities for greedy approximation
    • D. Donoho, M. Elad, and V. N. Temlyakov, "On Lebesgue type inequalities for greedy approximation," J. Approx. Theory, vol. 147, no. 2, pp. 185-195, 2007
    • (2007) J. Approx. Theory , vol.147 , Issue.2 , pp. 185-195
    • Donoho, D.1    Elad, M.2    Temlyakov, V.N.3
  • 6
    • 84870050604 scopus 로고    scopus 로고
    • Sparse recovery algorithms: Sufficient conditions in terms of restricted isometry constants
    • Jun.
    • S. Foucart, "Sparse recovery algorithms: Sufficient conditions in terms of restricted isometry constants," Approx. Theory, vol. 13, pp. 65-77, Jun. 2012
    • (2012) Approx. Theory , vol.13 , pp. 65-77
    • Foucart, S.1
  • 7
    • 84858263171 scopus 로고    scopus 로고
    • On the optimality of the orthogonal greedy algorithm for '-coherent dictionaries
    • E. D. Livshitz, "On the optimality of the orthogonal greedy algorithm for '-coherent dictionaries," J. Approx. Theory, vol. 164, no. 5, pp. 668-681, 2012
    • (2012) J. Approx. Theory , vol.164 , Issue.5 , pp. 668-681
    • Livshitz, E.D.1
  • 8
    • 62749175137 scopus 로고    scopus 로고
    • CoSaMP: Iterative signal recovery from incomplete and inaccurate samples
    • D. Needell and J. A. Tropp, "CoSaMP: Iterative signal recovery from incomplete and inaccurate samples," Appl. Comput. Harmon. Anal., vol. 26, no. 3, pp. 301-321, 2009
    • (2009) Appl. Comput. Harmon. Anal. , vol.26 , Issue.3 , pp. 301-321
    • Needell, D.1    Tropp, J.A.2
  • 9
    • 64749092799 scopus 로고    scopus 로고
    • Uniform uncertainty principle and signal recovery via orthogonal matching pursuit
    • D. Needell and R. Vershynin, "Uniform uncertainty principle and signal recovery via orthogonal matching pursuit," Found. Comput. Math., vol. 9, no. 3, pp. 317-334, 2009
    • (2009) Found. Comput. Math. , vol.9 , Issue.3 , pp. 317-334
    • Needell, D.1    Vershynin, R.2
  • 10
    • 84872562760 scopus 로고    scopus 로고
    • Lebesgue-type inequalities for greedy approximation in Banach spaces
    • Feb.
    • D. Savu and V. N. Temlyakov, "Lebesgue-type inequalities for greedy approximation in Banach spaces," IEEE Trans. Inf. Theory, vol. 59, no. 2, pp. 1098-1106, Feb. 2013
    • (2013) IEEE Trans. Inf. Theory , vol.59 , Issue.2 , pp. 1098-1106
    • Savu, D.1    Temlyakov, V.N.2
  • 11
    • 22844454658 scopus 로고    scopus 로고
    • Weak greedy algorithms
    • V. N. Temlyakov, "Weak greedy algorithms," Adv. Comput. Math., vol. 12, no. 1, pp. 213-227, 2000
    • (2000) Adv. Comput. Math. , vol.12 , Issue.1 , pp. 213-227
    • Temlyakov, V.N.1
  • 12
    • 0035634238 scopus 로고    scopus 로고
    • Greedy algorithms in Banach spaces
    • V. N. Temlyakov, "Greedy algorithms in Banach spaces," Adv. Comput. Math., vol. 14, no. 3, pp. 277-292, 2001
    • (2001) Adv. Comput. Math. , vol.14 , Issue.3 , pp. 277-292
    • Temlyakov, V.N.1
  • 13
    • 21144435474 scopus 로고    scopus 로고
    • Nonlinear methods of approximation
    • V. N. Temlyakov, "Nonlinear methods of approximation," Found. Comput. Math., vol. 3, no. 1, pp. 33-107, 2003
    • (2003) Found. Comput. Math. , vol.3 , Issue.1 , pp. 33-107
    • Temlyakov, V.N.1
  • 14
    • 57349200517 scopus 로고    scopus 로고
    • Foundations of computational mathematics
    • Cambridge, U.K.: Cambridge Univ. Press
    • V. N. Temlyakov, "Foundations of computational mathematics," in Greedy Approximations (Mathematical Society Lecture Notes), vol. 331. Cambridge, U.K.: Cambridge Univ. Press, 2006, pp. 371-394
    • (2006) Greedy Approximations Mathematical Society Lecture Notes , vol.331 , pp. 371-394
    • Temlyakov, V.N.1
  • 16
    • 84902982809 scopus 로고    scopus 로고
    • Greedy approximation in convex optimization
    • Jun.
    • V. N. Temlyakov, "Greedy approximation in convex optimization," ArXiv: 1206.0392v1, pp. 1-28, Jun. 2012
    • (2012) ArXiv: 1206.0392v1 , pp. 1-28
    • Temlyakov, V.N.1
  • 17
    • 84902965992 scopus 로고    scopus 로고
    • Greedy expansions in convex optimization
    • Jun.
    • V. N. Temlyakov, "Greedy expansions in convex optimization," ArXiv:1206.0393v1, pp. 1-27, Jun. 2012
    • (2012) ArXiv:1206.0393v1 , pp. 1-27
    • Temlyakov, V.N.1
  • 18
    • 84902958823 scopus 로고    scopus 로고
    • Sparse approximation and recovery by greedy algorithms in Banach spaces
    • Mar. ArXiv: 1303.6811v1
    • V. N. Temlyakov, "Sparse approximation and recovery by greedy algorithms in Banach spaces," ArXiv:1303.6811v1, pp. 1-27, Mar. 2013, ArXiv: 1303.6811v1
    • (2013) ArXiv:1303.6811v1 , pp. 1-27
    • Temlyakov, V.N.1
  • 19
    • 79960395529 scopus 로고    scopus 로고
    • On performance of greedy algorithms
    • V. Temlyakov and P. Zheltov, "On performance of greedy algorithms," J. Approx. Theory, vol. 163, no. 9, pp. 1134-1145, 2011
    • (2011) J. Approx. Theory , vol.163 , Issue.9 , pp. 1134-1145
    • Temlyakov, V.1    Zheltov, P.2
  • 20
    • 5444237123 scopus 로고    scopus 로고
    • Greed is good: Algorithmic results for sparse approximation
    • Oct.
    • J. A. Tropp, "Greed is good: Algorithmic results for sparse approximation," IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2231-2242, Oct. 2004
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.10 , pp. 2231-2242
    • Tropp, J.A.1
  • 22
    • 80052353493 scopus 로고    scopus 로고
    • Sparse recovery with orthogonal matching pursuit under RIP
    • Sep.
    • T. Zhang, "Sparse recovery with orthogonal matching pursuit under RIP," IEEE Trans. Inf. Theory, vol. 57, no. 9, pp. 6215-6221, Sep. 2011.
    • (2011) IEEE Trans. Inf. Theory , vol.57 , Issue.9 , pp. 6215-6221
    • Zhang, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.