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Volumn 349, Issue 13-14, 2011, Pages 783-786

Geometry of log-concave ensembles of random matrices and approximate reconstruction

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EID: 80051554799     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2011.06.025     Document Type: Article
Times cited : (12)

References (15)
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    • R. Adamczak, O. Guédon, A.E. Litvak, A. Pajor, N. Tomczak-Jaegermann, Condition number of a square matrix with i.i.d. columns drawn from a convex body, Proc. Amer. Math. Soc., in press. doi:10.1090/S0002-9939-2011-10994-8.
    • Adamczak, R.1    Guédon, O.2    Litvak, A.E.3    Pajor, A.4    Tomczak-Jaegermann, N.5
  • 3
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    • Quantitative estimates of the convergence of the empirical covariance matrix in log-concave Ensembles
    • Adamczak R., Litvak A.E., Pajor A., Tomczak-Jaegermann N. Quantitative estimates of the convergence of the empirical covariance matrix in log-concave Ensembles. Journal of AMS 2010, 234:535-561.
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    • Adamczak, R.1    Litvak, A.E.2    Pajor, A.3    Tomczak-Jaegermann, N.4
  • 4
    • 79956267709 scopus 로고    scopus 로고
    • Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling
    • Adamczak R., Litvak A.E., Pajor A., Tomczak-Jaegermann N. Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling. Constructive Approximation 2011, 34:61-88.
    • (2011) Constructive Approximation , vol.34 , pp. 61-88
    • Adamczak, R.1    Litvak, A.E.2    Pajor, A.3    Tomczak-Jaegermann, N.4
  • 6
    • 80051566165 scopus 로고    scopus 로고
    • Tail estimates for norms of sums of log-concave random vectors, preprint, available at
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  • 7
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    • Chevet type inequality and norms of submatrices, preprint, available at
    • R. Adamczak, R. Latala, A.E. Litvak, A. Pajor, N. Tomczak-Jaegermann, Chevet type inequality and norms of submatrices, preprint, available at http://arxiv.org/abs/1107.4066.
    • Adamczak, R.1    Latala, R.2    Litvak, A.E.3    Pajor, A.4    Tomczak-Jaegermann, N.5
  • 8
    • 0001820257 scopus 로고    scopus 로고
    • Random points in isotropic convex sets
    • Cambridge Univ. Press, Cambridge, Convex Geometric Analysis
    • Bourgain J. Random points in isotropic convex sets. Math. Sci. Res. Inst. Publ. 1999, vol. 34:53-58. Cambridge Univ. Press, Cambridge.
    • (1999) Math. Sci. Res. Inst. Publ. , vol.34 , pp. 53-58
    • Bourgain, J.1
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    • Order statistics and concentration of lr norms for log-concave vectors
    • Latala R. Order statistics and concentration of lr norms for log-concave vectors. J. Funct. Anal. 2011, 261:681-696.
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    • Latala, R.1
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    • Empirical processes with a bounded Ψ1 diameter
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    • Reconstruction and subgaussian operators in asymptotic geometric analysis
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  • 15
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