메뉴 건너뛰기




Volumn 40, Issue 1 SPEC. ISS., 2012, Pages 319-330

Beyond random walk and metropolis-hastings samplers: Why you should not backtrack for unbiased graph sampling

Author keywords

asymptotic variance; non reversible markov chains; random walks; unbiased graph sampling

Indexed keywords

ADDITIONAL COSTS; ASYMPTOTIC VARIANCE; COMPLEX NETWORKS; HIGHER EFFICIENCY; NODE SAMPLING; RANDOM WALK; SAMPLING EFFICIENCY; SIMPLE RANDOM WALK; SLOW DIFFUSION; UNBIASED ESTIMATOR;

EID: 84864716103     PISSN: 01635999     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/2254756.2254795     Document Type: Conference Paper
Times cited : (130)

References (35)
  • 5
    • 84864716971 scopus 로고    scopus 로고
    • Improving random walk estimation accuracy with uniform restarts
    • K. Avrachenkov, B. Ribeiro, and D. Towsley. Improving random walk estimation accuracy with uniform restarts. In WAW, 2010.
    • (2010) WAW
    • Avrachenkov, K.1    Ribeiro, B.2    Towsley, D.3
  • 6
    • 33846268814 scopus 로고    scopus 로고
    • Examples comparing importance sampling and the Metropolis algorithm
    • F. Bassetti and P. Diaconis. Examples comparing importance sampling and the Metropolis algorithm. Illinois Journal of Mathematics, 50(1):67-91, 2006.
    • (2006) Illinois Journal of Mathematics , vol.50 , Issue.1 , pp. 67-91
    • Bassetti, F.1    Diaconis, P.2
  • 8
    • 11344275321 scopus 로고    scopus 로고
    • Fastest mixing markov chain on a graph
    • S. Boyd, P. Diaconis, and L. Xiao. Fastest mixing markov chain on a graph. SIAM Review, 46(4):667-689, 2004.
    • (2004) SIAM Review , vol.46 , Issue.4 , pp. 667-689
    • Boyd, S.1    Diaconis, P.2    Xiao, L.3
  • 9
    • 84864710307 scopus 로고    scopus 로고
    • Lifiting markov chains to speed up mixing
    • F. Chen, L. Lovász, and I. Pak. Lifiting markov chains to speed up mixing. In ACM STOC, 1999.
    • (1999) ACM STOC
    • Chen, F.1    Lovász, L.2    Pak, I.3
  • 10
  • 11
    • 79551578073 scopus 로고    scopus 로고
    • A vanilla Rao-Blackwellization of Metropolis-Hastings algorithms
    • R. Douc and C. P. Robert. A vanilla Rao-Blackwellization of Metropolis-Hastings algorithms. Annals of Statistics, 39(1):261-277, 2011.
    • (2011) Annals of Statistics , vol.39 , Issue.1 , pp. 261-277
    • Douc, R.1    Robert, C.P.2
  • 12
  • 13
    • 69949089097 scopus 로고    scopus 로고
    • Respondent-driven sampling as Markov chain Monte Carlo
    • S. Goel and M. J. Salganik. Respondent-driven sampling as Markov chain Monte Carlo. Statistics in Medicine, 28(17):2202-2229, 2009.
    • (2009) Statistics in Medicine , vol.28 , Issue.17 , pp. 2202-2229
    • Goel, S.1    Salganik, M.J.2
  • 14
    • 0042908796 scopus 로고    scopus 로고
    • Delayed rejection in reversible jump metropolis-hastings
    • P. J. Green and A. Mira. Delayed rejection in reversible jump metropolis-hastings. Biometrika, 88(4):1035-1053, 2001.
    • (2001) Biometrika , vol.88 , Issue.4 , pp. 1035-1053
    • Green, P.J.1    Mira, A.2
  • 15
    • 84865096110 scopus 로고    scopus 로고
    • Output space sampling for graph patterns
    • M. A. Hasan and M. J. Zaki. Output space sampling for graph patterns. In VLDB, 2009.
    • (2009) VLDB
    • Hasan, M.A.1    Zaki, M.J.2
  • 16
    • 77956890234 scopus 로고
    • Monte carlo sampling methods using markov chains and their applications
    • W. K. Hastings. Monte carlo sampling methods using markov chains and their applications. Biometrika, 57(1):97-109, 1970.
    • (1970) Biometrika , vol.57 , Issue.1 , pp. 97-109
    • Hastings, W.K.1
  • 17
    • 58049133351 scopus 로고    scopus 로고
    • The hitting and cover times of random walks on finite graphs using local degree information
    • January
    • S. Ikeda, I. Kubo, and M. Yamashita. The hitting and cover times of random walks on finite graphs using local degree information. Theoretical Computer Science, 410(1):94-100, January 2009.
    • (2009) Theoretical Computer Science , vol.410 , Issue.1 , pp. 94-100
    • Ikeda, S.1    Kubo, I.2    Yamashita, M.3
  • 18
    • 33645087459 scopus 로고    scopus 로고
    • On the Markov chain central limit theorem
    • G. L. Jones. On the Markov chain central limit theorem. Probability Surveys, 1:299-320, 2004.
    • (2004) Probability Surveys , vol.1 , pp. 299-320
    • Jones, G.L.1
  • 19
    • 84864667622 scopus 로고    scopus 로고
    • Fast gossip via nonreversible random walk
    • K. Jung and D. Shah. Fast gossip via nonreversible random walk. In IEEE ITW, 2006.
    • (2006) IEEE ITW
    • Jung, K.1    Shah, D.2
  • 20
    • 80053651853 scopus 로고    scopus 로고
    • Walking on a graph with a magnifying glass: Stratified sampling via weighted random walks
    • M. Kurant, M. Gjoka, C. T. Butts, and A. Markopoulou. Walking on a graph with a magnifying glass: stratified sampling via weighted random walks. In ACM SIGMETRICS, 2011.
    • (2011) ACM SIGMETRICS
    • Kurant, M.1    Gjoka, M.2    Butts, C.T.3    Markopoulou, A.4
  • 23
    • 84864717651 scopus 로고    scopus 로고
    • Accelerating distributed consensus via lifting markov chains
    • W. Li and H. Dai. Accelerating distributed consensus via lifting markov chains. In IEEE ISIT, 2007.
    • (2007) IEEE ISIT
    • Li, W.1    Dai, H.2
  • 24
    • 37249033221 scopus 로고    scopus 로고
    • On convergence of properly weighted samples to the target distribution
    • S. Malefaki and G. Iliopoulos. On convergence of properly weighted samples to the target distribution. Journal of Statistical Planning and Inference, 138(4):1210-1225, 2008.
    • (2008) Journal of Statistical Planning and Inference , vol.138 , Issue.4 , pp. 1210-1225
    • Malefaki, S.1    Iliopoulos, G.2
  • 26
    • 0042193001 scopus 로고    scopus 로고
    • Ordering and improving the performance of monte carlo markov chains
    • A. Mira. Ordering and improving the performance of monte carlo markov chains. Statistical Science, 16(4):340-350, 2001.
    • (2001) Statistical Science , vol.16 , Issue.4 , pp. 340-350
    • Mira, A.1
  • 28
    • 0015730787 scopus 로고
    • Optimum monte-carlo sampling using markov chains
    • P. H. Peskun. Optimum monte-carlo sampling using markov chains. Biometrika, 60:607-612, 1973.
    • (1973) Biometrika , vol.60 , pp. 607-612
    • Peskun, P.H.1
  • 30
    • 78650856898 scopus 로고    scopus 로고
    • Estimating and sampling graphs with multidimensional random walks
    • B. Ribeiro and D. Towsley. Estimating and sampling graphs with multidimensional random walks. In IMC, 2010.
    • (2010) IMC
    • Ribeiro, B.1    Towsley, D.2
  • 31
    • 84890736685 scopus 로고    scopus 로고
    • General state space Markov chains and MCMC algorithms
    • G. O. Roberts and J. S. Rosenthal. General state space Markov chains and MCMC algorithms. Probability Surveys, 1:20-71, 2004.
    • (2004) Probability Surveys , vol.1 , pp. 20-71
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 32
    • 0003778293 scopus 로고    scopus 로고
    • John Wiley & Son, second edition
    • S. M. Ross. Stochastic processes. John Wiley & Son, second edition, 1996.
    • (1996) Stochastic Processes
    • Ross, S.M.1
  • 33
    • 10344240580 scopus 로고    scopus 로고
    • Sampling and estimation in hidden populations using respondent-driven sampling
    • M. J. Salganik and D. D. Heckathorn. Sampling and estimation in hidden populations using respondent-driven sampling. Sociological Methodology, 34:193-239, 2004.
    • (2004) Sociological Methodology , vol.34 , pp. 193-239
    • Salganik, M.J.1    Heckathorn, D.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.