메뉴 건너뛰기




Volumn 56, Issue 3, 2009, Pages

Adaptive simulated annealing: A near-optimal connection between sampling and counting

Author keywords

Counting; Markov chain Monte Carlo; Simulated annealing

Indexed keywords

ADAPTIVE SIMULATED ANNEALING; APPROXIMATE COUNTING; CARDINALITIES; CONVEX BODY; COOLING SCHEDULE; COUNTING; DISCRETE SETS; DISCRETE SYSTEMS; INVERSE TEMPERATURES; MARKOV CHAIN MONTE CARLO; MATCHINGS; OPTIMAL REDUCTIONS; PARTITION FUNCTIONS; RUNNING TIME;

EID: 69149093392     PISSN: 00045411     EISSN: 1557735X     Source Type: Journal    
DOI: 10.1145/1516512.1516520     Document Type: Article
Times cited : (118)

References (25)
  • 1
    • 0003584156 scopus 로고
    • Monte-carlo algorithms in graph isomorphism testing
    • Tech. Rep. 79-10, Universite de Montreal, Montreal, Quebec
    • Babai, L. 1979. Monte-carlo algorithms in graph isomorphism testing. Tech. Rep. 79-10, Universite de Montreal, Montreal, Quebec.
    • (1979)
    • Babai, L.1
  • 2
    • 55249105213 scopus 로고    scopus 로고
    • Accelerating simulated annealing for the permanent and combinatorial counting problems
    • Bezkov, I., Štefankovi, D., Vazirani, V. V., and Vigoda, E. 2008. Accelerating simulated annealing for the permanent and combinatorial counting problems. SIAM J. Comput. 37, 5, 1429-1454.
    • (2008) SIAM J. Comput , vol.37 , Issue.5 , pp. 1429-1454
    • Bezkov, I.1    Štefankovi, D.2    Vazirani, V.V.3    Vigoda, E.4
  • 3
    • 69149099333 scopus 로고    scopus 로고
    • Dyer, M., and Frieze, A. 1991. Computing the of convex bodies: a case where randomness provably helps. In Probabilistic combinatorics and its applications. Proceedings of Symposiusm on Applied Mathematics, 44. American Mathematics Society, Providence, RI, 123-169.
    • Dyer, M., and Frieze, A. 1991. Computing the volume of convex bodies: a case where randomness provably helps. In Probabilistic combinatorics and its applications. Proceedings of Symposiusm on Applied Mathematics, vol. 44. American Mathematics Society, Providence, RI, 123-169.
  • 4
    • 0025720957 scopus 로고
    • A random polynomial-time algorithm for approximating the volume of convex bodies
    • Dyer, M., Frieze, A., and Kannan, R. 1991. A random polynomial-time algorithm for approximating the volume of convex bodies. J. ACM 38, 1, 1-17.
    • (1991) J. ACM , vol.38 , Issue.1 , pp. 1-17
    • Dyer, M.1    Frieze, A.2    Kannan, R.3
  • 5
    • 4243819810 scopus 로고
    • New Monte Carlo technique for studying phase transitions
    • December
    • Ferrenberg, A. M., and Swendsen, R. H. 1988. New Monte Carlo technique for studying phase transitions. Phys. Rev. Lett. 61, 23 (December), 2635+.
    • (1988) Phys. Rev. Lett , vol.61 , Issue.23
    • Ferrenberg, A.M.1    Swendsen, R.H.2
  • 6
    • 84920752119 scopus 로고    scopus 로고
    • A survey on the use of Markov chains to randomly sample colourings
    • Combinatorics, complexity, and chance, Oxford Univ. Press, Oxford, UK
    • Frieze, A., and Vigoda, E. 2007. A survey on the use of Markov chains to randomly sample colourings. In Combinatorics, complexity, and chance. Oxford Lecture Ser. Math. Appl., vol. 34. Oxford Univ. Press, Oxford, UK, 53-71.
    • (2007) Oxford Lecture Ser. Math. Appl , vol.34 , pp. 53-71
    • Frieze, A.1    Vigoda, E.2
  • 7
    • 0000646152 scopus 로고    scopus 로고
    • A Chernoff bound for random walks on expander graphs
    • electronic
    • Gillman, D. 1998. A Chernoff bound for random walks on expander graphs. SIAM J. Comput. 27, 4, 1203-1220 (electronic).
    • (1998) SIAM J. Comput , vol.27 , Issue.4 , pp. 1203-1220
    • Gillman, D.1
  • 9
    • 84990721683 scopus 로고
    • A very simple algorithm for estimating the number of k-colorings of a low-degree graph
    • Jerrum, M. 1995. A very simple algorithm for estimating the number of k-colorings of a low-degree graph. Random Struct. Algor. 7, 2, 157-165.
    • (1995) Random Struct. Algor , vol.7 , Issue.2 , pp. 157-165
    • Jerrum, M.1
  • 11
    • 0024904712 scopus 로고
    • Approximating the permanent
    • Jerrum, M., and Sinclair, A. 1989. Approximating the permanent. SIAM J. Comput. 18, 6, 1149-1178.
    • (1989) SIAM J. Comput , vol.18 , Issue.6 , pp. 1149-1178
    • Jerrum, M.1    Sinclair, A.2
  • 12
    • 4243139497 scopus 로고    scopus 로고
    • A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries
    • electronic
    • Jerrum, M., Sinclair, A., and Vigoda, E. 2004. A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries. J. ACM 51, 4, 671-697 (electronic).
    • (2004) J. ACM , vol.51 , Issue.4 , pp. 671-697
    • Jerrum, M.1    Sinclair, A.2    Vigoda, E.3
  • 13
    • 38249043088 scopus 로고
    • Random generation of combinatorial structures from a uniform distribution
    • Jerrum, M. R., Valiant, L. G., and Vazirani, V. V. 1986. Random generation of combinatorial structures from a uniform distribution. Theoret. Comput. Sci. 43, 2-3, 169-188.
    • (1986) Theoret. Comput. Sci , vol.43 , Issue.2-3 , pp. 169-188
    • Jerrum, M.R.1    Valiant, L.G.2    Vazirani, V.V.3
  • 15
    • 37249086892 scopus 로고    scopus 로고
    • Fast algorithms for logconcave functions: Sampling, rounding, integration and optimization
    • IEEE Computer Society Press, Los Alamitos, CA
    • Lovsz, L., and Vempala, S. 2006a. Fast algorithms for logconcave functions: Sampling, rounding, integration and optimization. In Proceedings of the Symposium on Foundations of Computer Science (FOCS). IEEE Computer Society Press, Los Alamitos, CA, 57-68.
    • (2006) Proceedings of the Symposium on Foundations of Computer Science (FOCS) , pp. 57-68
    • Lovsz, L.1    Vempala, S.2
  • 17
    • 69149092450 scopus 로고    scopus 로고
    • Martinelli, F. 2004. Relaxation times of Markov chains in statistical mechanics and combinatorial structures. In Probability on Discrete Structures. Encyclopaedia Math. Sci., 110. Springer-Verlag, Berlin, Germany, 175-262.
    • Martinelli, F. 2004. Relaxation times of Markov chains in statistical mechanics and combinatorial structures. In Probability on Discrete Structures. Encyclopaedia Math. Sci., vol. 110. Springer-Verlag, Berlin, Germany, 175-262.
  • 18
    • 34249767236 scopus 로고
    • Approach to equilibrium of Glauber dynamics in the one phase region. I. The attractive case
    • Martinelli, F., and Olivieri, E. 1994. Approach to equilibrium of Glauber dynamics in the one phase region. I. The attractive case. Comm. Math. Phys. 161, 3, 447-486.
    • (1994) Comm. Math. Phys , vol.161 , Issue.3 , pp. 447-486
    • Martinelli, F.1    Olivieri, E.2
  • 20
    • 69149089079 scopus 로고    scopus 로고
    • the Monte Carlo method to the lattice-gas model. J. Chem. Phys. 30, 1, 65-72.
    • the Monte Carlo method to the lattice-gas model. J. Chem. Phys. 30, 1, 65-72.
  • 21
    • 36849102835 scopus 로고
    • Monte Carlo estimation of the free energy by multistage sampling
    • Valleau, J. P., and Card, D. N. 1972. Monte Carlo estimation of the free energy by multistage sampling. J. Chem. Phys. 57, 12, 5457-5462.
    • (1972) J. Chem. Phys , vol.57 , Issue.12 , pp. 5457-5462
    • Valleau, J.P.1    Card, D.N.2
  • 22
    • 69149088940 scopus 로고    scopus 로고
    • Vempala, S. 2005. Geometric random walks: A survey. In Combinatorial and computational geometry. Math. Sci. Res. Inst. Publ., 52. Cambridge Univ. Press, Cambridge, MA, 577-616.
    • Vempala, S. 2005. Geometric random walks: A survey. In Combinatorial and computational geometry. Math. Sci. Res. Inst. Publ., vol. 52. Cambridge Univ. Press, Cambridge, MA, 577-616.
  • 23
    • 1842498157 scopus 로고    scopus 로고
    • Vigoda, E. 2001. A note on the Glauber dynamics for sampling independent sets. Electron. J. Combin. 8, 1, Research Paper 8, 8 pp. (electronic).
    • Vigoda, E. 2001. A note on the Glauber dynamics for sampling independent sets. Electron. J. Combin. 8, 1, Research Paper 8, 8 pp. (electronic).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.