Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.5555/313559.313797acmconferencesArticle/Chapter ViewAbstractPublication PagessodaConference Proceedingsconference-collections
Article
Free access

Chernoff-Hoeffding bounds for applications with limited independence

Published: 01 January 1993 Publication History
  • Get Citation Alerts
  • First page of PDF

    References

    [1]
    N. Alon, L. Babai, and A. Itaj. A fast and simple randomized parallel algorithm for the maximal independent set problem. Journal of Algorithms, 7:567-583, 1986.
    [2]
    N. Alon, J. Spencer, and P. Erd6s. The Probabilistic Method. Wiley-Interscience Series, John Wiley & Sons, Inc., New York, 1992.
    [3]
    D. Angluin and L.G. Valiant. Fast probabilistic algorithms for Hamiltonian circuits and matchings. Journal of Computer and System Sciences, 18:155-193, 1979.
    [4]
    M. Bellare, O. Goldreich, and S. Goldwasser. Randomness in Interactive Proofs. In Proceedings of the IEEE Symposium on Foundations of Computer Science, pages 563-573, 1990.
    [5]
    M. Bellare and J. Rompel. Randomness Efficient Sampling of Arbitrary Functions, Technical Report MIT/LCS/TM-433.b, Laboratory for Computer Science, Massachusetts Institute of Technology, July 1990.
    [6]
    B. Berger and J. Rompel. Simulating (logcn)-wise independence in N C. J. Assoc. Comput. Much., 38(4)'1026-t046, 1991.
    [7]
    J. L. Carter and M. N. Wegman. Universal classes of hash functions. Journal of Computer and System Sciences, 18-143-154, 1979.
    [8]
    H. Chernoff. A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations. Annals of Mathematical Statistics, 23:493-509, 1952.
    [9]
    V. Chv&tal. The tail of the hypergeometric distribution. Discrete Mathematics, 25:285-287, 1979.
    [10]
    G. Even, O. Goldreich, M. Luby, N. Nisan, and B. Veliizkovid. Approximations of general independent distributions. In Proceedings of the A GM Symposium on Theory of Computing, pages 10-16, 1992.
    [11]
    W. Hoeffding. Probability inequalities for sums of bounded random variables. American Statistical Association Journal, pages 13-30, 1963.
    [12]
    A. Joffe. On a set of almost deterministic kindependent random variables. The Annals of Probability, 2(1)'161-162, 1974.
    [13]
    H. J. Karloff and P. Raghavan. Randomized algorithms and pseudorandom numbers. In Proceedings of the A CM Symposium on Theory of Computing, pages 310- 321, 1988.
    [14]
    C. Kruskal, L. Rudolph, and M. Suit. A complexity theory of efficient parallel algorithms. Theoretical Computer Science, 71'95-132, 1990.
    [15]
    F.T. Leighton, B. Maggs, and S. Rao. Universal packet routing algorithms. In Proceedings of the IEEE Symposium on Foundations of Computer Science, pages 256- 269, 1988.
    [16]
    N. Linial and N. Nisan. Approximate inclusionexclusion. Combinatorica, 10(4):349-365, 1990.
    [17]
    K. Mehlhorn and U. Vishkin. Randomized and deterministic simulations of PRAMs by parallel machines with restricted granularity of parMlel memories. Acta Informatica, 21:339-374, 1984.
    [18]
    R. Motwani, J. Naor, and M. Naor. The probabilistic method yields deterministic parallel algorithms. In Proceedings of the IEEE Symposium on Foundations of Computer Science, pages 8-13, 1989.
    [19]
    J. Naor and M. Naor. Small-bias probability spaces: efficient constructions and applications. In Proceedings of the A CM Symposium on Theory of Computing, pages 213-223, 1990.
    [20]
    S.V. Nagaev and I.F. Pinelis. Some inequalities for the distribution of the sums of independent random variables. Theory of Probability and its Applications, 22:248-256, 1977.
    [21]
    A. Panconesi and A. Srinivasan. Fast randomized algorithms for distributed edge coloring. In Proceedings of the ACM Symposium on Principles of Distributed Computing, pages 251-262, 1992.
    [22]
    D. Peleg and E. Upfal. A time-randomness tradeoff for oblivious routing. SIAM J. Comput., 19:256-266, 1990.
    [23]
    S. A. Plotkin, D. B. Shmoys, and l~. Tardos. Fast approximation algorithms for fractional packing and covering problems. In Proceedings of the IEEE Symposium on Foundations of Computer Science, pages 495-504, 1991. Expanded version available as Technical Report 999, School of Operations Research and Industrial Engineering, Cornell University, 1992.
    [24]
    P. Raghavan. Probabilistic construction of deterministic algorithms: approximating packing integer programs. Journal of Computer and System Sciences, 37:130-143, 1988.
    [25]
    P. Raghavan. Lecture notes on randomized algorithms. Technical Report RC 15340 (#68237), IBM T.J.Watson Research Center, January 1990. Also available as CS661 Lecture Notes, Technical report YALE/DCS/RR-757, Department of Computer Science, Yale University, January 1990.
    [26]
    A. Ranade. How to emulate shared memory. Journal of Computer and System Sciences, 41:307-326, 1991.
    [27]
    H. Robbins. A remark on Stirling's formula. Amer. Math. Monthly, 62:26-29, 1955.
    [28]
    J. P. Schmidt, A. Siegel, and A. Srinivasan. Chernoff- Hoeffding bounds for applications with limited independence. Technical Report TR 92-1305, Department of Computer Science, Cornell University, October 1992.
    [29]
    J.P. Schmidt and A. Siegel. On aspects of universality and performance for closed hashing. In Proceedings of the ACM Symposium on Theory of Computing, pages 355-366, 1989.
    [30]
    J.P. Schmidt and A. Siegel. The analysis of closed hashing under limited randomness. In Proceedings of the A CM Symposium on Theory of Computing, pages 224-234, 1990.
    [31]
    D. B. Shmoys, C. Stein, and J. Wein. Improved approximation algorithms for shop scheduling problems. In Proceedings of the A GM/SIAM Symposium on Discrete Algorithms, pages 131-140, 1991.
    [32]
    A. Siegel. On universal classes of fast hash functions, their time-space tradeoff, and their applications. In Proceedings of the IEEE Symposium on Foundations of Computer Science, pages 20-25, 1989.
    [33]
    J. Spencer. Ten Lectures on the Probabilistic Method. SIAM, Philadelphia, 1987.
    [34]
    C. Stein. Approximation algorithms.{or multicommodity flow and shop scheduling problems. PhD thesis, Technical Report 550, Laboratory for Computer Science, Massachusetts htstitute of Technology, 1992.
    [35]
    L. G. Valiant. A scheme for fast parallel communication. SiAM J. Comput., 11:350-361, 1982.
    [36]
    L. G. Valiant and G. J. Brebner. Universal schemes for parallel communication. In Proceedings of the A CM Symposium on Theory o} Computing, pages 263-277, 1981.
    [37]
    M.N. Wegman and J.L. Carter. New classes and applications of hash fupctions. In Proceedings of the IEEE Symposium on Foundations of Computer Science, pages 175-182, 1979.

    Cited By

    View all
    • (2022)An extendable data structure for incremental stable perfect hashingProceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing10.1145/3519935.3520070(1298-1310)Online publication date: 9-Jun-2022
    • (2021)Concentration bounds for almost k-wise independence with applications to non-uniform securityProceedings of the Thirty-Second Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3458064.3458207(2404-2423)Online publication date: 10-Jan-2021
    • (2018)Non-Malleable CodesJournal of the ACM10.1145/317843265:4(1-32)Online publication date: 26-Apr-2018
    • Show More Cited By

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image ACM Conferences
    SODA '93: Proceedings of the fourth annual ACM-SIAM symposium on Discrete algorithms
    January 1993
    506 pages
    ISBN:0898713137

    Sponsors

    Publisher

    Society for Industrial and Applied Mathematics

    United States

    Publication History

    Published: 01 January 1993

    Check for updates

    Qualifiers

    • Article

    Conference

    SODA93
    Sponsor:
    SODA93: Conference on Discrete Algorithms
    January 25 - 27, 1993
    Texas, Austin, USA

    Acceptance Rates

    Overall Acceptance Rate 411 of 1,322 submissions, 31%

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)517
    • Downloads (Last 6 weeks)105

    Other Metrics

    Citations

    Cited By

    View all
    • (2022)An extendable data structure for incremental stable perfect hashingProceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing10.1145/3519935.3520070(1298-1310)Online publication date: 9-Jun-2022
    • (2021)Concentration bounds for almost k-wise independence with applications to non-uniform securityProceedings of the Thirty-Second Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3458064.3458207(2404-2423)Online publication date: 10-Jan-2021
    • (2018)Non-Malleable CodesJournal of the ACM10.1145/317843265:4(1-32)Online publication date: 26-Apr-2018
    • (2006)Simpler algorithm for estimating frequency moments of data streamsProceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm10.5555/1109557.1109634(708-713)Online publication date: 22-Jan-2006
    • (2004)Simple efficient load balancing algorithms for peer-to-peer systemsProceedings of the sixteenth annual ACM symposium on Parallelism in algorithms and architectures10.1145/1007912.1007919(36-43)Online publication date: 27-Jun-2004
    • (2004)Simple efficient load balancing algorithms for peer-to-peer systemsProceedings of the Third international conference on Peer-to-Peer Systems10.1007/978-3-540-30183-7_13(131-140)Online publication date: 26-Feb-2004
    • (2002)Randomized path coloring on binary treesTheoretical Computer Science10.1016/S0304-3975(01)00310-3289:1(355-399)Online publication date: 23-Oct-2002
    • (2001)On the cell probe complexity of membership and perfect hashingProceedings of the thirty-third annual ACM symposium on Theory of computing10.1145/380752.380836(425-432)Online publication date: 6-Jul-2001
    • (1997)Consistent hashing and random treesProceedings of the twenty-ninth annual ACM symposium on Theory of computing10.1145/258533.258660(654-663)Online publication date: 4-May-1997
    • (1996)Fixed-dimensional parallel linear programming via relative ε-approximationsProceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms10.5555/313852.313904(132-141)Online publication date: 28-Jan-1996
    • Show More Cited By

    View Options

    View options

    PDF

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader

    Get Access

    Login options

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media