메뉴 건너뛰기




Volumn 67, Issue 2, 2003, Pages 291-310

A polynomial-time algorithm to approximately count contingency tables when the number of rows is constant

Author keywords

Approximate counting; Contingency tables; Randomized algorithms

Indexed keywords

COMPUTATIONAL COMPLEXITY; MATRIX ALGEBRA; POLYNOMIAL APPROXIMATION; POLYNOMIALS; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING; RANDOM PROCESSES; VECTORS;

EID: 0142091463     PISSN: 00220000     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0000(03)00014-X     Document Type: Article
Times cited : (23)

References (21)
  • 1
    • 0000975439 scopus 로고
    • A polynomial-time algorithm for counting integral points in polyhedra when the dimension is fixed
    • A.I. Barvinok, A polynomial-time algorithm for counting integral points in polyhedra when the dimension is fixed, Math. Oper. Res. 19 (4) (1994) 769-779.
    • (1994) Math. Oper. Res. , vol.19 , Issue.4 , pp. 769-779
    • Barvinok, A.I.1
  • 4
    • 0001077218 scopus 로고
    • Testing for independence in a two-way table: New interpretations of the chi-square statistic (with discussion)
    • P. Diaconis, B. Efron, Testing for independence in a two-way table: new interpretations of the chi-square statistic (with discussion), Ann. Statist. 13 (1995) 845-913.
    • (1995) Ann. Statist. , vol.13 , pp. 845-913
    • Diaconis, P.1    Efron, B.2
  • 6
    • 0003511334 scopus 로고
    • Random walk on contingency tables with fixed row and column sums
    • Technical Report, Department of Mathematics, Harvard University
    • P. Diaconis, L. Saloff-Coste, Random walk on contingency tables with fixed row and column sums, Technical Report, Department of Mathematics, Harvard University, 1995.
    • (1995)
    • Diaconis, P.1    Saloff-Coste, L.2
  • 7
    • 0025720957 scopus 로고
    • A random polynomial-time algorithm for approximating the volume of convex bodies
    • M. Dyer, A. Frieze, R. Kannan, A random polynomial-time algorithm for approximating the volume of convex bodies, J. ACM 38 (1) (1991) 1-17.
    • (1991) J. ACM , vol.38 , Issue.1 , pp. 1-17
    • Dyer, M.1    Frieze, A.2    Kannan, R.3
  • 8
    • 0002657015 scopus 로고    scopus 로고
    • Random walks on combinatorial objects
    • in: J.D. Lamb, D.A. Preece (Eds.); Cambridge University press, Cambriedge
    • M. Dyer, C. Greenhill, Random walks on combinatorial objects, in: J.D. Lamb, D.A. Preece (Eds.), Surveys in Combinatorics 1999, London Mathematical Society Lecture Note Series, Vol. 267, Cambridge University press, Cambriedge, 1999, pp. 101-136.
    • (1999) Surveys in Combinatorics 1999, London Mathematical Society Lecture Note Series , vol.267 , pp. 101-136
    • Dyer, M.1    Greenhill, C.2
  • 9
    • 0000542530 scopus 로고    scopus 로고
    • Polynomial-time counting and sampling of two-rowed contingency tables
    • M. Dyer, C. Greenhill, Polynomial-time counting and sampling of two-rowed contingency tables, Theoret. Comput. Sci. 246 (2000) 265-278.
    • (2000) Theoret. Comput. Sci. , vol.246 , pp. 265-278
    • Dyer, M.1    Greenhill, C.2
  • 10
    • 0031210630 scopus 로고    scopus 로고
    • On Barvinok's algorithm for counting lattice points in fixed dimension
    • M. Dyer, R. Kannan, On Barvinok's algorithm for counting lattice points in fixed dimension, Math. Oper. Res. 22 (3) (1997) 545-549.
    • (1997) Math. Oper. Res. , vol.22 , Issue.3 , pp. 545-549
    • Dyer, M.1    Kannan, R.2
  • 12
    • 0004273452 scopus 로고
    • Addison-Wesley, Massachusetts
    • G. Hadley, Linear Programming, Addison-Wesley, Massachusetts, 1962, pp. 273-330.
    • (1962) Linear Programming , pp. 273-330
    • Hadley, G.1
  • 13
    • 0039494816 scopus 로고    scopus 로고
    • Random generation of 2 × n contingency tables
    • D. Hernek, Random generation of 2 × n contingency tables, Random Struct. Algorithms 13 (1) (1998) 71-79.
    • (1998) Random Struct. Algorithms , vol.13 , Issue.1 , pp. 71-79
    • Hernek, D.1
  • 14
    • 0002734223 scopus 로고    scopus 로고
    • Markov chain Monte Carlo method: An approach to approximate counting and integration
    • in: D.S. Hochbaum (Ed.); PWS, Boston
    • M. Jerrum, A. Sinclair, Markov chain Monte Carlo method: an approach to approximate counting and integration, in: D.S. Hochbaum (Ed.), Approximation Algorithms for NP-Hard Problems, PWS, Boston, 1997, pp. 482-520.
    • (1997) Approximation Algorithms for NP-Hard Problems , pp. 482-520
    • Jerrum, M.1    Sinclair, A.2
  • 15
    • 38249043088 scopus 로고
    • Random generation of combinatorial structures from a uniform distribution
    • M. Jerrum, L.G. Valiant, V.V. Vazirani, Random generation of combinatorial structures from a uniform distribution, Theoret. Comput. Sci. 43 (1986) 169-188.
    • (1986) Theoret. Comput. Sci. , vol.43 , pp. 169-188
    • Jerrum, M.1    Valiant, L.G.2    Vazirani, V.V.3
  • 18
    • 0003873971 scopus 로고
    • Springer-Verlag Graduate Texts in Mathematics, Vol. 116, Springer, Berlin
    • J.L. Kelley, T.P. Srinivasan, Measure and Integral, Vol. 1, Springer-Verlag Graduate Texts in Mathematics, Vol. 116, Springer, Berlin, 1988.
    • (1988) Measure and Integral , vol.1
    • Kelley, J.L.1    Srinivasan, T.P.2
  • 20
    • 0003475185 scopus 로고
    • Application of convex sampling to optimization and contingency table generation
    • Ph.D. Thesis, Technical Report CMU-CS-95-152, Computer Science Department, Carnegie Mellon University
    • J. Mount, Application of Convex Sampling to Optimization and Contingency Table Generation, Ph.D. Thesis, Technical Report CMU-CS-95-152, Computer Science Department, Carnegie Mellon University, 1995.
    • (1995)
    • Mount, J.1
  • 21
    • 0024699930 scopus 로고
    • Approximate counting, uniform generation and rapidly mixing Markov chains
    • A. Sinclair, M. Jerrum, Approximate counting, uniform generation and rapidly mixing Markov chains, Inform. Comput. 82 (1989) 93-133.
    • (1989) Inform. Comput. , vol.82 , pp. 93-133
    • Sinclair, A.1    Jerrum, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.