메뉴 건너뛰기




Volumn 21, Issue 5, 2005, Pages 691-709

Bounds and constructions for the star-discrepancy via δ-covers

Author keywords

Covering number; Derandomization; Low discrepancy point sets; Probabilistic methods; Star discrepancy

Indexed keywords

ALGORITHMS; NUMBER THEORY; POLYNOMIALS; PROBABILISTIC LOGICS; SET THEORY;

EID: 27144490719     PISSN: 0885064X     EISSN: 10902708     Source Type: Journal    
DOI: 10.1016/j.jco.2005.05.002     Document Type: Article
Times cited : (37)

References (19)
  • 1
    • 0034249052 scopus 로고    scopus 로고
    • Improved algorithms via approximation of probability distributions
    • S. Chari, P. Rohatgi, and A. Srinivasan Improved algorithms via approximation of probability distributions J. Comput. System Sci. 61 2000 81 107
    • (2000) J. Comput. System Sci. , vol.61 , pp. 81-107
    • Chari, S.1    Rohatgi, P.2    Srinivasan, A.3
  • 2
    • 0003331047 scopus 로고    scopus 로고
    • Sequences, discrepancies and applications
    • Springer, Berlin
    • M. Drmota, R.F. Tichy, Sequences, Discrepancies and Applications, Lecture Notes in Mathematics, vol. 1651, Springer, Berlin, 1997.
    • (1997) Lecture Notes in Mathematics , vol.1651
    • Drmota, M.1    Tichy, R.F.2
  • 5
    • 27144500417 scopus 로고    scopus 로고
    • Geometric discrepancies and δ-covers
    • M. Gnewuch, and B. Doerr Geometric discrepancies and δ -covers Oberwolfach Rep. 1 2004 687 690
    • (2004) Oberwolfach Rep. , vol.1 , pp. 687-690
    • Gnewuch, M.1    Doerr, B.2
  • 6
    • 0000996139 scopus 로고
    • Sphere packing numbers for subsets of the Boolean n-cube with bounded Vapnik-Chervonenkis dimension
    • D. Haussler Sphere packing numbers for subsets of the Boolean n -cube with bounded Vapnik-Chervonenkis dimension J. Combin. Theory Ser. A 69 1995 217 232
    • (1995) J. Combin. Theory Ser. A , vol.69 , pp. 217-232
    • Haussler, D.1
  • 7
    • 0038054061 scopus 로고    scopus 로고
    • Some open problems concerning the star-discrepancy
    • S. Heinrich Some open problems concerning the star-discrepancy J. Complexity 19 2003 416 419
    • (2003) J. Complexity , vol.19 , pp. 416-419
    • Heinrich, S.1
  • 8
    • 0035649406 scopus 로고    scopus 로고
    • The inverse of the star-discrepancy depends linearly on the dimension
    • S. Heinrich, E. Novak, G.W. Wasilkowski, and H. Woźniakowski The inverse of the star-discrepancy depends linearly on the dimension Acta Arith. 96 2001 279 302
    • (2001) Acta Arith. , vol.96 , pp. 279-302
    • Heinrich, S.1    Novak, E.2    Wasilkowski, G.W.3    Woźniakowski, H.4
  • 10
    • 3242687318 scopus 로고    scopus 로고
    • Covering numbers, Vapnik-Červonenkis classes and bounds for the star-discrepancy
    • A. Hinrichs Covering numbers, Vapnik-Červonenkis classes and bounds for the star-discrepancy J. Complexity 20 2004 477 483
    • (2004) J. Complexity , vol.20 , pp. 477-483
    • Hinrichs, A.1
  • 12
    • 3242701678 scopus 로고    scopus 로고
    • On the tractability of multivariate integration and approximation by neural networks
    • H.N. Mhaskar On the tractability of multivariate integration and approximation by neural networks J. Complexity 20 2004 561 590
    • (2004) J. Complexity , vol.20 , pp. 561-590
    • Mhaskar, H.N.1
  • 13
    • 0027641832 scopus 로고
    • Small-bias probability spaces: Efficient constructions and applications
    • J. Naor, and M. Naor Small-bias probability spaces: efficient constructions and applications SIAM J. Comput. 22 4 1993 838 856
    • (1993) SIAM J. Comput. , vol.22 , Issue.4 , pp. 838-856
    • Naor, J.1    Naor, M.2
  • 16
    • 0000435276 scopus 로고
    • Probabilistic construction of deterministic algorithms: Approximating packing integer programs
    • P. Raghavan Probabilistic construction of deterministic algorithms: approximating packing integer programs J. Comput. System Sci. 37 1988 130 143
    • (1988) J. Comput. System Sci. , vol.37 , pp. 130-143
    • Raghavan, P.1
  • 18
    • 33847675982 scopus 로고    scopus 로고
    • Derandomization in Combinatorial Optimization
    • Pardalos Rajasekaran Reif Rolim Kluwer Academic Publishers Dordrecht
    • A. Srivastav Derandomization in Combinatorial Optimization Pardalos Rajasekaran Reif Rolim Handbook of Randomized Computing vol. II 2001 Kluwer Academic Publishers Dordrecht 731 842
    • (2001) Handbook of Randomized Computing , vol.2 , pp. 731-842
    • Srivastav, A.1
  • 19
    • 0030304085 scopus 로고    scopus 로고
    • Algorithmic Chernoff-Hoeffding inequalities in integer programming
    • A. Srivastav, and P. Stangier Algorithmic Chernoff-Hoeffding inequalities in integer programming Random Structures Algorithms 8 1996 27 58
    • (1996) Random Structures Algorithms , vol.8 , pp. 27-58
    • Srivastav, A.1    Stangier, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.