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Volumn 40, Issue 6, 2011, Pages 1927-1968

Testing symmetric properties of distributions

Author keywords

Approximation algorithms; Entropy approximation; L 1 distance approximation; Lower bounds; Poissonization; Statistical properties; Vandermonde matrices

Indexed keywords

L 1 DISTANCE APPROXIMATION; LOWER BOUNDS; POISSONIZATION; STATISTICAL PROPERTIES; VANDERMONDE MATRIX;

EID: 84855592016     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/080734066     Document Type: Conference Paper
Times cited : (129)

References (30)
  • 2
    • 67650118857 scopus 로고    scopus 로고
    • A combinatorial characterization of the testable graph properties: It's all about regularity
    • N. ALON, E. FISCHER, I. NEWMAN, AND A. SHAPIRA, A combinatorial characterization of the testable graph properties: It's all about regularity, SIAM J. Comput., 39(2009), pp. 143-167.
    • (2009) SIAM J. Comput. , vol.39 , pp. 143-167
    • Alon, N.1    Fischer, E.2    Newman, I.3    Shapira, A.4
  • 9
    • 0029214558 scopus 로고
    • Designing programs that check their work
    • M. BLUM AND S. KANNAN, Designing programs that check their work, J. Assoc. Comput. Mach., 42(1995), pp. 269-291.
    • (1995) J. Assoc. Comput. Mach. , vol.42 , pp. 269-291
    • Blum, M.1    Kannan, S.2
  • 10
    • 0000619172 scopus 로고
    • Self-testing/correcting with applications to numerical problems
    • M. BLUM, M. LUBY, AND R. RUBINFELD, Self-testing/correcting with applications to numerical problems, J. Comput. System Sci., 47(1993), pp. 549-595.
    • (1993) J. Comput. System Sci. , vol.47 , pp. 549-595
    • Blum, M.1    Luby, M.2    Rubinfeld, R.3
  • 12
    • 79957631053 scopus 로고    scopus 로고
    • Quantum algorithms for testing properties of distributions
    • S. BRAVYI, A. W. HARROW, AND A. HASSIDIM, Quantum algorithms for testing properties of distributions, IEEE Trans. Inform. Theory, 57(2011), pp. 3971-3981.
    • (2011) IEEE Trans. Inform. Theory , vol.57 , pp. 3971-3981
    • Bravyi, S.1    Harrow, A.W.2    Hassidim, A.3
  • 13
    • 77954392247 scopus 로고    scopus 로고
    • A near-optimal algorithm for estimating the entropy of a stream
    • A. CHAKRABARTI, G. CORMODE, AND A. MCGREGOR, A near-optimal algorithm for estimating the entropy of a stream, ACM Trans. Algorithms, 6(2010), 51.
    • (2010) ACM Trans. Algorithms , vol.6 , pp. 51
    • Chakrabarti, A.1    Cormode, G.2    Mcgregor, A.3
  • 16
    • 0032108275 scopus 로고    scopus 로고
    • Property Testing and Its Connection to Learning and Approximation
    • O. GOLDREICH, S. GOLDWASSER, AND D. RON, Property testing and its connection to learning and approximation, J. ACM, 45(1998), pp. 653-750. (Pubitemid 128488791)
    • (1998) Journal of the ACM , vol.45 , Issue.4 , pp. 653-750
    • Goldreich, O.1    Goldwasser, S.2    Ron, D.3
  • 17
    • 0042806309 scopus 로고    scopus 로고
    • Three theorems regarding testing graph properties
    • O. GOLDREICH AND L. TREVISAN, Three theorems regarding testing graph properties, Random Structures Algorithms, 23(2003), pp. 23-57.
    • (2003) Random Structures Algorithms , vol.23 , pp. 23-57
    • Goldreich, O.1    Trevisan, L.2
  • 21
    • 0009103008 scopus 로고
    • The Vandermonde matrix
    • A. KLINGER, The Vandermonde matrix, Amer. Math. Monthly, 74(1967), pp. 571-574.
    • (1967) Amer. Math. Monthly , vol.74 , pp. 571-574
    • Klinger, A.1
  • 23
    • 69049092204 scopus 로고    scopus 로고
    • Strong lower bounds for approximating distribution support size and the distinct elements problem
    • S. RASKHODNIKOVA, D. RON, A. SHPILKA, AND A. SMITH, Strong lower bounds for approximating distribution support size and the distinct elements problem, SIAM J. Comput., 39(2009), pp. 813-842.
    • (2009) SIAM J. Comput. , vol.39 , pp. 813-842
    • Raskhodnikova, S.1    Ron, D.2    Shpilka, A.3    Smith, A.4
  • 24
    • 0010033952 scopus 로고    scopus 로고
    • On the rate of multivariate Poisson convergence
    • B. ROOS, On the rate of multivariate Poisson convergence, J. Multivariate Anal., 69(1999), pp. 120-134.
    • (1999) J. Multivariate Anal. , vol.69 , pp. 120-134
    • Roos, B.1
  • 25
    • 0030128622 scopus 로고    scopus 로고
    • Robust characterizations of polynomials with applications to program testing
    • R. RUBINFELD AND M. SUDAN, Robust characterizations of polynomials with applications to program testing, SIAM J. Comput., 25(1996), pp. 252-271. (Pubitemid 126577271)
    • (1996) SIAM Journal on Computing , vol.25 , Issue.2 , pp. 252-271
    • Rubinfeld, R.1    Sudan, M.2
  • 28
    • 79959740921 scopus 로고    scopus 로고
    • Estimating the unseen: An n/log (n)-sample estimator for entropy, support size, and other distribution properties, with a proof of optimality via two new central limit theorems
    • G. VALIANT AND P. VALIANT, Estimating the unseen: An n/log (n)-sample estimator for entropy, support size, and other distribution properties, with a proof of optimality via two new central limit theorems, in Proceedings of the 43rd ACM Symposium on Theory of Computing, 2011, pp. 685-694.
    • (2011) Proceedings of the 43rd ACM Symposium on Theory of Computing , pp. 685-694
    • Valiant, G.1    Valiant, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.