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Volumn 33, Issue 2, 2011, Pages 273-288

Error Estimates for Orthogonal Matching Pursuit and Random Dictionaries

Author keywords

Coherence; Lebesgue inequalities; Nonlinear approximation; Orthogonal matching pursuit; Random dictionaries; Restricted isometry property

Indexed keywords


EID: 79551681610     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-010-9122-7     Document Type: Article
Times cited : (6)

References (14)
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  • 2
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    • Candés, E.J.1    Tao, T.2
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    • Compressed sensing and best k-term approximation
    • Cohen, A., Dahmen, W., DeVore, R.: Compressed sensing and best k-term approximation. J. Am. Math. Soc. 22(1), 211-231 (2009).
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    • Cohen, A.1    Dahmen, W.2    Devore, R.3
  • 6
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • Donoho, D. L.: Compressed sensing. IEEE Trans. Inf. Theory 52(4), 1289-1306 (2006).
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    • Donoho, D.L.1
  • 7
    • 34447622649 scopus 로고    scopus 로고
    • On Lebesgue-type inequalities for greedy approximation
    • Donoho, D. L., Elad, M., Temlyakov, V. N.: On Lebesgue-type inequalities for greedy approximation. J. Approx. Theory 147(2), 185-195 (2007).
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    • Donoho, D.L.1    Elad, M.2    Temlyakov, V.N.3
  • 9
    • 0000263797 scopus 로고
    • Projection pursuit
    • With discussion
    • Huber, P. J.: Projection pursuit. Ann. Stat. 13(2), 435-525 (1985). With discussion.
    • (1985) Ann. Stat. , vol.13 , Issue.2 , pp. 435-525
    • Huber, P.J.1
  • 10
    • 0000523636 scopus 로고
    • On a conjecture of Huber concerning the convergence of projection pursuit regression
    • Jones, L. K.: On a conjecture of Huber concerning the convergence of projection pursuit regression. Ann. Stat. 15(2), 880-882 (1987).
    • (1987) Ann. Stat. , vol.15 , Issue.2 , pp. 880-882
    • Jones, L.K.1
  • 11
    • 0002059497 scopus 로고
    • The main triangle projection in matrix spaces and its applications
    • Kwapien, S., Pelczyński, A.: The main triangle projection in matrix spaces and its applications. Studia Math. 34, 43-68 (1970).
    • (1970) Studia Math. , vol.34 , pp. 43-68
    • Kwapien, S.1    Pelczyński, A.2
  • 12
    • 55649100730 scopus 로고    scopus 로고
    • Uniform uncertainty principle for Bernoulli and subgaussian ensembles
    • Mendelson, S., Pajor, A., Tomczak-Jaegermann, N.: Uniform uncertainty principle for Bernoulli and subgaussian ensembles. Constr. Approx. 28(3), 277-289 (2008).
    • (2008) Constr. Approx. , vol.28 , Issue.3 , pp. 277-289
    • Mendelson, S.1    Pajor, A.2    Tomczak-Jaegermann, N.3
  • 13
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    • Greedy approximation
    • Temlyakov, V. N.: Greedy approximation. Ada Numer. 17, 235-409 (2008).
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    • Temlyakov, V.N.1
  • 14
    • 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. Inf. Theory 50(10), 2231-2242 (2004).
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    • Tropp, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.