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Volumn 3, Issue 2, 2007, Pages

Deterministic sampling and range counting in geometric data streams

Author keywords

Data streams; Epsilon nets; Geometric data; Iceberg queries; Range counting; Robust statistics; Sampling; Streaming algorithms

Indexed keywords

DETERMINISTIC SAMPLING; EPSILON NETS; ICEBERG QUERIES; RANGE COUNTING; STREAMING ALGORITHMS;

EID: 34250185027     PISSN: 15496325     EISSN: 15496333     Source Type: Journal    
DOI: 10.1145/1240233.1240239     Document Type: Article
Times cited : (27)

References (46)
  • 2
    • 4243114094 scopus 로고    scopus 로고
    • Maintaining the extent of a moving point set
    • Mach
    • AGARWAL, P. K., HAR-PELED, S., AND VARDARAJAN, K. R. 2004. Maintaining the extent of a moving point set. J. Assoc. Comput. Mach. 51, 4, 606-635.
    • (2004) J. Assoc. Comput , vol.51 , Issue.4 , pp. 606-635
    • AGARWAL, P.K.1    HAR-PELED, S.2    VARDARAJAN, K.R.3
  • 3
    • 0034418360 scopus 로고    scopus 로고
    • AMENTA, N., BERN, M. W., EPPSTEIN, D., AND TENG, S.-H. 2000. Regression depth and center points. Discrete Comput. Geornet. 23, 3, 305-323. arxiv:cs.CG/9809037.
    • AMENTA, N., BERN, M. W., EPPSTEIN, D., AND TENG, S.-H. 2000. Regression depth and center points. Discrete Comput. Geornet. 23, 3, 305-323. arxiv:cs.CG/9809037.
  • 4
    • 0036042175 scopus 로고    scopus 로고
    • BABCOCK, B., BABU, S., DATAR, M., MOTWANI, R., AND WIDOM, J. 2002. Models and issues in data stream systems. In Proceedings of the 22nd Annual ACM Symposium on Principles of Databases Systems. dbpubs.stanford.edu:8090/pub/2002-19.
    • BABCOCK, B., BABU, S., DATAR, M., MOTWANI, R., AND WIDOM, J. 2002. Models and issues in data stream systems. In Proceedings of the 22nd Annual ACM Symposium on Principles of Databases Systems. dbpubs.stanford.edu:8090/pub/2002-19.
  • 6
    • 0000108833 scopus 로고
    • Decomposable searching problems I: Static-to-Dynamic transformation
    • BENTLEY, J. L., AND SAXE, J. B. 1980. Decomposable searching problems I: Static-to-Dynamic transformation. J. Alg. 1, 4, 301-358.
    • (1980) J. Alg , vol.1 , Issue.4 , pp. 301-358
    • BENTLEY, J.L.1    SAXE, J.B.2
  • 7
    • 0036666044 scopus 로고    scopus 로고
    • BERN, M. W., AND EPPSTEIN, D. 2002. Multivariate regression depth. Discrete Comput. Geom. 28, 1 (Jul.), 1-17. arxiv:cs.CG/9912013.
    • BERN, M. W., AND EPPSTEIN, D. 2002. Multivariate regression depth. Discrete Comput. Geom. 28, 1 (Jul.), 1-17. arxiv:cs.CG/9912013.
  • 12
    • 0000690281 scopus 로고
    • Quasi-Optimal range searching in spaces of finite VC-dimension
    • CHAZELLE, B., AND WELZL, E. 1989. Quasi-Optimal range searching in spaces of finite VC-dimension. Discrete Comput. Geom. 4, 467-489.
    • (1989) Discrete Comput. Geom , vol.4 , pp. 467-489
    • CHAZELLE, B.1    WELZL, E.2
  • 14
    • 3142665813 scopus 로고    scopus 로고
    • Radial histograms for spatial streams
    • Tech. Rep. 2003-11, DIMACS
    • CORMODE, G., AND MUTHUKRISHNAN, S. 2003. Radial histograms for spatial streams. Tech. Rep. 2003-11, DIMACS.
    • (2003)
    • CORMODE, G.1    MUTHUKRISHNAN, S.2
  • 18
    • 34250173014 scopus 로고    scopus 로고
    • FANG, M., SHIVAKUMAR, N., GARCIA-M OLINA, H., MOTWANI, R., AND ULLMAN, J. D. 1998. Computing iceberg queries efficiently. In Proceedings of the International Conference on Very Large Data Bases. 299-310.
    • FANG, M., SHIVAKUMAR, N., GARCIA-M OLINA, H., MOTWANI, R., AND ULLMAN, J. D. 1998. Computing iceberg queries efficiently. In Proceedings of the International Conference on Very Large Data Bases. 299-310.
  • 19
    • 3142673174 scopus 로고    scopus 로고
    • Computing diameter in the streaming and sliding-window models
    • Tech. Rep. YALEU/DCS/TR-1245, Yale University
    • FEIGENBAUM, J., KANNAN, S., AND ZHANG, J. 2002. Computing diameter in the streaming and sliding-window models. Tech. Rep. YALEU/DCS/TR-1245, Yale University.
    • (2002)
    • FEIGENBAUM, J.1    KANNAN, S.2    ZHANG, J.3
  • 20
    • 0031522631 scopus 로고    scopus 로고
    • Bounded-Independence derandomization of geometric partitioning with applications to parallel fixed-dimensional linear programming
    • GOODRICH, M. T., AND RAMOS, E. A. 1997. Bounded-Independence derandomization of geometric partitioning with applications to parallel fixed-dimensional linear programming. Discrete Comput. Geom. 18, 397-420.
    • (1997) Discrete Comput. Geom , vol.18 , pp. 397-420
    • GOODRICH, M.T.1    RAMOS, E.A.2
  • 24
    • 0142183803 scopus 로고    scopus 로고
    • Fast algorithms for computing the smallest k-enclosing disc
    • Proceedings of the 11th Annual European Symposium on Algorithms, Springer Verlag, Berlin
    • HAR-PELED, S., AND MAZUMDAR, S. 2003. Fast algorithms for computing the smallest k-enclosing disc. In Proceedings of the 11th Annual European Symposium on Algorithms. Lecture Notes in Computer Science. Springer Verlag, Berlin.
    • (2003) Lecture Notes in Computer Science
    • HAR-PELED, S.1    MAZUMDAR, S.2
  • 29
    • 0348252034 scopus 로고    scopus 로고
    • KARP, R. M., SHENKER, S., AND PAPADIMITRIOU, C. H. 2003. A simple algorithm for finding frequent elements in streams and bags. ACM Trans. Database Syst. 28, 1 (Mar.), 51-55.
    • KARP, R. M., SHENKER, S., AND PAPADIMITRIOU, C. H. 2003. A simple algorithm for finding frequent elements in streams and bags. ACM Trans. Database Syst. 28, 1 (Mar.), 51-55.
  • 31
    • 35248844128 scopus 로고    scopus 로고
    • Optimization in arrangements
    • Proceedings of the 20th International Symposium Theoretical Aspects of Computer Science, H. Alt and M. Habib, Eds, Springer Verlag, Berlin
    • LANGERMAN, S., AND STEIGER, W. 2003. Optimization in arrangements. In Proceedings of the 20th International Symposium Theoretical Aspects of Computer Science, H. Alt and M. Habib, Eds. Lecture Notes in Computer Science, vol. 2607. Springer Verlag, Berlin. 50-61.
    • (2003) Lecture Notes in Computer Science , vol.2607 , pp. 50-61
    • LANGERMAN, S.1    STEIGER, W.2
  • 32
    • 0001767349 scopus 로고
    • On a notion of data depth based on random simplices
    • LIU, R. Y. 1990. On a notion of data depth based on random simplices. Ann. Statist. 18, 405-414.
    • (1990) Ann. Statist , vol.18 , pp. 405-414
    • LIU, R.Y.1
  • 34
    • 1842603849 scopus 로고
    • Computing the center of planar point sets
    • Discrete and Computational Geometry: Papers from the DIMACS Special Year, J. E. Goodman et al, eds. Number in, Boston, MA
    • MATOUŠEK, J. 1991. Computing the center of planar point sets. In Discrete and Computational Geometry: Papers from the DIMACS Special Year, J. E. Goodman et al., eds. Number 6 in DIMACS Series in Discrete Mathematics and Theoretical Computer Science. American Mathematical Society, Boston, MA. 221-230.
    • (1991) DIMACS Series in Discrete Mathematics and Theoretical Computer Science. American Mathematical Society , vol.6 , pp. 221-230
    • MATOUŠEK, J.1
  • 35
    • 0004531664 scopus 로고
    • Epsilon-Nets and computational geometry
    • New Trends in Discrete and Computational Geometry, J. Pach, ed, Springer Verlag, Heidelberg
    • MATOUŠEK, J. 1993. Epsilon-Nets and computational geometry. In New Trends in Discrete and Computational Geometry, J. Pach, ed. Algorithms and Combinatorics, vol. 10. Springer Verlag, Heidelberg. 69-89.
    • (1993) Algorithms and Combinatorics , vol.10 , pp. 69-89
    • MATOUŠEK, J.1
  • 36
    • 0029293361 scopus 로고
    • Approximations and optimal geometric divide-and-conquer
    • MATOUŠEK, J. 1995. Approximations and optimal geometric divide-and-conquer. J. Comput. Syst. Sci. 50, 203-208.
    • (1995) J. Comput. Syst. Sci , vol.50 , pp. 203-208
    • MATOUŠEK, J.1
  • 37
    • 4544255031 scopus 로고    scopus 로고
    • Derandomization in computational geometry
    • J.-R. Sack and J. Urrutia, eds. Elsevier Science, North Holland, Amsterdam
    • MATOUŠEK, J. 2000. Derandomization in computational geometry. In Handbook of Computational Geometry, J.-R. Sack and J. Urrutia, eds. Elsevier Science, North Holland, Amsterdam. 559-595.
    • (2000) Handbook of Computational Geometry , pp. 559-595
    • MATOUŠEK, J.1
  • 38
    • 34250193558 scopus 로고    scopus 로고
    • MUTHUKRISHNAN, S. 2003. Data streams: Algorithms and applications. Invited talk at (Symposium on Discrete Algorithms) (SODA) 2003. Available on request by email to muthu@research.att.com.
    • MUTHUKRISHNAN, S. 2003. Data streams: Algorithms and applications. Invited talk at (Symposium on Discrete Algorithms) (SODA) 2003. Available on request by email to muthu@research.att.com.
  • 41
    • 0002846981 scopus 로고    scopus 로고
    • Computing location depth and regression depth in higher dimensions
    • ROUSSEEUW, P. J., AND STRUYF, A. 1998. Computing location depth and regression depth in higher dimensions. Statist. Comput. 8, 193-203.
    • (1998) Statist. Comput , vol.8 , pp. 193-203
    • ROUSSEEUW, P.J.1    STRUYF, A.2
  • 42
    • 0001703864 scopus 로고
    • On the density of families of sets
    • SAUER, N. 1972. On the density of families of sets. J. Combin. Theory Ser. A13, 145-147.
    • (1972) J. Combin. Theory Ser , vol.A13 , pp. 145-147
    • SAUER, N.1
  • 43
    • 84947348224 scopus 로고
    • Estimates of the regression coefficient based on Kendall's tau
    • SEN, P. K. 1968. Estimates of the regression coefficient based on Kendall's tau. J. Amer. Statist. Assoc. 63, 1379-1389.
    • (1968) J. Amer. Statist. Assoc , vol.63 , pp. 1379-1389
    • SEN, P.K.1
  • 46
    • 0001024505 scopus 로고
    • On the uniform convergence of relative frequencies of events to their probabilities
    • VAPNIK, V. N., AND CHERVONENKIS, A. Y. 1971. On the uniform convergence of relative frequencies of events to their probabilities. Theory Probab. Appl. 16, 264-280.
    • (1971) Theory Probab. Appl , vol.16 , pp. 264-280
    • VAPNIK, V.N.1    CHERVONENKIS, A.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.